diff --git a/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.pdf b/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.pdf index a24cead..b40d831 100644 --- a/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.pdf +++ b/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 10 - /Kids [488 0 R 490 0 R 492 0 R 494 0 R 496 0 R 498 0 R 500 0 R 502 0 R 504 0 R 506 0 R] + /Count 11 + /Kids [523 0 R 525 0 R 527 0 R 529 0 R 531 0 R 533 0 R 535 0 R 537 0 R 539 0 R 541 0 R 543 0 R] >> endobj @@ -25,7 +25,7 @@ endobj /Last 25 0 R /Count -10 /Title (Exercises) - /Dest 487 0 R + /Dest 522 0 R >> endobj @@ -34,7 +34,7 @@ endobj /Parent 3 0 R /Next 5 0 R /Title (1: Funktion eller ej?) - /Dest 449 0 R + /Dest 484 0 R >> endobj @@ -44,7 +44,7 @@ endobj /Next 6 0 R /Prev 4 0 R /Title (2: Ens funktionsforskrifter?) - /Dest 450 0 R + /Dest 485 0 R >> endobj @@ -54,7 +54,7 @@ endobj /Next 7 0 R /Prev 5 0 R /Title (3: Funktion med ukendt 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251 0 R 251 0 R 251 0 R 248 0 R 250 0 R 248 0 R 249 0 R 249 0 R 248 0 R 247 0 R 245 0 R 246 0 R 245 0 R 244 0 R] endobj 48 0 obj -[208 0 R 205 0 R 207 0 R 207 0 R 207 0 R 207 0 R 205 0 R 206 0 R 205 0 R 204 0 R 203 0 R 201 0 R 202 0 R 201 0 R 200 0 R 199 0 R 198 0 R 197 0 R 194 0 R 196 0 R 196 0 R 196 0 R 196 0 R 196 0 R 194 0 R 194 0 R 195 0 R 194 0 R 194 0 R 193 0 R 190 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 190 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 190 0 R 189 0 R 188 0 R 186 0 R 187 0 R 187 0 R 187 0 R 187 0 R 186 0 R 185 0 R 184 0 R 182 0 R 183 0 R 183 0 R 183 0 R 183 0 R 182 0 R 181 0 R 180 0 R 175 0 R 179 0 R 179 0 R 179 0 R 179 0 R 175 0 R 178 0 R 175 0 R 175 0 R 177 0 R 175 0 R 176 0 R 175 0 R 174 0 R 173 0 R 169 0 R 172 0 R 169 0 R 171 0 R 169 0 R 170 0 R 169 0 R] +[243 0 R 240 0 R 242 0 R 242 0 R 242 0 R 242 0 R 240 0 R 241 0 R 240 0 R 239 0 R 238 0 R 236 0 R 237 0 R 236 0 R 235 0 R 234 0 R 233 0 R 232 0 R 229 0 R 231 0 R 231 0 R 231 0 R 231 0 R 231 0 R 229 0 R 229 0 R 230 0 R 229 0 R 229 0 R 228 0 R 225 0 R 227 0 R 227 0 R 227 0 R 227 0 R 227 0 R 225 0 R 226 0 R 226 0 R 226 0 R 226 0 R 226 0 R 225 0 R 224 0 R 223 0 R 221 0 R 222 0 R 222 0 R 222 0 R 222 0 R 221 0 R 220 0 R 219 0 R 217 0 R 218 0 R 218 0 R 218 0 R 218 0 R 217 0 R 216 0 R 215 0 R 210 0 R 214 0 R 214 0 R 214 0 R 214 0 R 210 0 R 213 0 R 210 0 R 210 0 R 212 0 R 210 0 R 211 0 R 210 0 R 209 0 R 208 0 R 204 0 R 207 0 R 204 0 R 206 0 R 204 0 R 205 0 R 204 0 R] endobj 49 0 obj -[168 0 R] +[203 0 R] endobj 50 0 obj -[167 0 R 166 0 R 164 0 R 165 0 R 165 0 R 164 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 163 0 R 162 0 R 162 0 R 161 0 R 156 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 156 0 R 159 0 R 159 0 R 156 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 156 0 R 157 0 R 157 0 R 157 0 R 157 0 R 156 0 R 155 0 R 154 0 R 149 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 149 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 149 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 149 0 R 149 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 149 0 R 148 0 R 147 0 R 144 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 144 0 R 145 0 R 145 0 R 144 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 142 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 139 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 139 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 136 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 136 0 R 135 0 R 131 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 134 0 R 131 0 R 131 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 131 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 131 0 R 130 0 R] +[202 0 R 201 0 R 199 0 R 200 0 R 200 0 R 199 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 198 0 R 197 0 R 197 0 R 196 0 R 191 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 191 0 R 194 0 R 194 0 R 191 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 191 0 R 192 0 R 192 0 R 192 0 R 192 0 R 191 0 R 190 0 R 189 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 187 0 R 187 0 R 186 0 R 184 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 184 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 182 0 R 182 0 R 182 0 R 180 0 R 181 0 R 181 0 R 181 0 R 180 0 R 179 0 R 179 0 R 179 0 R 179 0 R 176 0 R 178 0 R 178 0 R 178 0 R 178 0 R 176 0 R 177 0 R 177 0 R 177 0 R 176 0 R 176 0 R 175 0 R 170 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 170 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 170 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 170 0 R 170 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 170 0 R 169 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 167 0 R] endobj 51 0 obj -[129 0 R 126 0 R 128 0 R 126 0 R 127 0 R 127 0 R 127 0 R 127 0 R 126 0 R 125 0 R 124 0 R 121 0 R 123 0 R 123 0 R 121 0 R 121 0 R 122 0 R 122 0 R 121 0 R 120 0 R 119 0 R 118 0 R 118 0 R 117 0 R 116 0 R 114 0 R 115 0 R 114 0 R 113 0 R 110 0 R 112 0 R 110 0 R 111 0 R 111 0 R 110 0 R 110 0 R 110 0 R 109 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 105 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 101 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 96 0 R 95 0 R 91 0 R 91 0 R 94 0 R 94 0 R 91 0 R 93 0 R 93 0 R 91 0 R 92 0 R 92 0 R 91 0 R 90 0 R 89 0 R 87 0 R 88 0 R 87 0 R 86 0 R 85 0 R 80 0 R 84 0 R 80 0 R 83 0 R 83 0 R 80 0 R 82 0 R 82 0 R 80 0 R 81 0 R 80 0 R 77 0 R 79 0 R 77 0 R 78 0 R 78 0 R 77 0 R] +[166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 166 0 R 163 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 163 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 161 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 157 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 159 0 R 157 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 156 0 R 153 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 153 0 R 154 0 R 154 0 R 153 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 152 0 R 151 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 148 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 149 0 R 148 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 145 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 145 0 R 144 0 R 140 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 143 0 R 140 0 R 140 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 140 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 140 0 R 139 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 138 0 R 137 0 R 136 0 R 133 0 R 135 0 R 133 0 R 134 0 R 134 0 R 134 0 R 134 0 R 133 0 R] endobj 52 0 obj -[76 0 R 75 0 R 68 0 R 74 0 R 68 0 R 73 0 R 73 0 R 73 0 R 68 0 R 72 0 R 68 0 R 71 0 R 71 0 R 68 0 R 70 0 R 68 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 68 0 R 67 0 R 65 0 R 66 0 R 65 0 R 64 0 R 63 0 R 61 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 61 0 R 60 0 R 59 0 R 55 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 55 0 R 55 0 R 57 0 R 55 0 R 56 0 R 55 0 R 54 0 R] +[132 0 R 126 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 126 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 126 0 R 129 0 R 126 0 R 128 0 R 126 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 125 0 R 122 0 R 124 0 R 124 0 R 122 0 R 122 0 R 123 0 R 123 0 R 122 0 R 121 0 R 120 0 R 119 0 R 119 0 R 118 0 R 117 0 R 115 0 R 116 0 R 115 0 R 114 0 R 111 0 R 113 0 R 111 0 R 112 0 R 112 0 R 111 0 R 111 0 R 111 0 R 110 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 109 0 R 106 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 105 0 R 102 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 97 0 R 96 0 R 92 0 R 92 0 R 95 0 R 95 0 R 92 0 R 94 0 R 94 0 R 92 0 R 93 0 R 93 0 R 92 0 R 91 0 R 90 0 R 88 0 R 89 0 R 88 0 R 87 0 R 86 0 R 81 0 R 85 0 R 81 0 R 84 0 R 84 0 R 81 0 R 83 0 R 83 0 R 81 0 R 82 0 R 81 0 R 78 0 R 80 0 R 78 0 R 79 0 R 79 0 R 78 0 R] endobj 53 0 obj -<< - /Type /StructElem - /S /Document - /P 42 0 R - /K [420 0 R 419 0 R 412 0 R 411 0 R 410 0 R 409 0 R 406 0 R 388 0 R 385 0 R 374 0 R 371 0 R 370 0 R 367 0 R 360 0 R 359 0 R 357 0 R 356 0 R 354 0 R 353 0 R 352 0 R 348 0 R 347 0 R 341 0 R 321 0 R 320 0 R 318 0 R 317 0 R 315 0 R 314 0 R 312 0 R 311 0 R 310 0 R 285 0 R 284 0 R 280 0 R 279 0 R 278 0 R 275 0 R 274 0 R 269 0 R 268 0 R 267 0 R 265 0 R 264 0 R 263 0 R 261 0 R 260 0 R 257 0 R 256 0 R 254 0 R 253 0 R 252 0 R 251 0 R 250 0 R 249 0 R 248 0 R 246 0 R 243 0 R 242 0 R 239 0 R 238 0 R 236 0 R 233 0 R 232 0 R 231 0 R 229 0 R 227 0 R 226 0 R 225 0 R 223 0 R 222 0 R 221 0 R 219 0 R 218 0 R 213 0 R 212 0 R 210 0 R 209 0 R 208 0 R 205 0 R 204 0 R 203 0 R 201 0 R 200 0 R 199 0 R 198 0 R 197 0 R 194 0 R 193 0 R 190 0 R 189 0 R 188 0 R 186 0 R 185 0 R 184 0 R 182 0 R 181 0 R 180 0 R 175 0 R 174 0 R 173 0 R 169 0 R 168 0 R 167 0 R 166 0 R 164 0 R 163 0 R 162 0 R 161 0 R 156 0 R 155 0 R 154 0 R 149 0 R 148 0 R 147 0 R 144 0 R 143 0 R 142 0 R 141 0 R 139 0 R 138 0 R 136 0 R 135 0 R 131 0 R 130 0 R 129 0 R 126 0 R 125 0 R 124 0 R 121 0 R 120 0 R 119 0 R 118 0 R 117 0 R 116 0 R 114 0 R 113 0 R 110 0 R 97 0 R 96 0 R 95 0 R 91 0 R 90 0 R 89 0 R 87 0 R 86 0 R 85 0 R 80 0 R 77 0 R 76 0 R 75 0 R 68 0 R 67 0 R 65 0 R 64 0 R 63 0 R 61 0 R 60 0 R 59 0 R 55 0 R 54 0 R] ->> +[77 0 R 76 0 R 69 0 R 75 0 R 69 0 R 74 0 R 74 0 R 74 0 R 69 0 R 73 0 R 69 0 R 72 0 R 72 0 R 69 0 R 71 0 R 69 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 69 0 R 68 0 R 66 0 R 67 0 R 66 0 R 65 0 R 64 0 R 62 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 62 0 R 61 0 R 60 0 R 56 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 59 0 R 56 0 R 56 0 R 58 0 R 56 0 R 57 0 R 56 0 R 55 0 R] endobj 54 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [65] - /Pg 506 0 R + /S /Document + /P 42 0 R + /K [455 0 R 454 0 R 447 0 R 446 0 R 445 0 R 444 0 R 441 0 R 423 0 R 420 0 R 409 0 R 406 0 R 405 0 R 402 0 R 395 0 R 394 0 R 392 0 R 391 0 R 389 0 R 388 0 R 387 0 R 383 0 R 382 0 R 376 0 R 356 0 R 355 0 R 353 0 R 352 0 R 350 0 R 349 0 R 347 0 R 346 0 R 345 0 R 320 0 R 319 0 R 315 0 R 314 0 R 313 0 R 310 0 R 309 0 R 304 0 R 303 0 R 302 0 R 300 0 R 299 0 R 298 0 R 296 0 R 295 0 R 292 0 R 291 0 R 289 0 R 288 0 R 287 0 R 286 0 R 285 0 R 284 0 R 283 0 R 281 0 R 278 0 R 277 0 R 274 0 R 273 0 R 271 0 R 268 0 R 267 0 R 266 0 R 264 0 R 262 0 R 261 0 R 260 0 R 258 0 R 257 0 R 256 0 R 254 0 R 253 0 R 248 0 R 247 0 R 245 0 R 244 0 R 243 0 R 240 0 R 239 0 R 238 0 R 236 0 R 235 0 R 234 0 R 233 0 R 232 0 R 229 0 R 228 0 R 225 0 R 224 0 R 223 0 R 221 0 R 220 0 R 219 0 R 217 0 R 216 0 R 215 0 R 210 0 R 209 0 R 208 0 R 204 0 R 203 0 R 202 0 R 201 0 R 199 0 R 198 0 R 197 0 R 196 0 R 191 0 R 190 0 R 189 0 R 188 0 R 186 0 R 184 0 R 183 0 R 180 0 R 176 0 R 175 0 R 170 0 R 169 0 R 167 0 R 166 0 R 163 0 R 161 0 R 160 0 R 157 0 R 156 0 R 153 0 R 152 0 R 151 0 R 150 0 R 148 0 R 147 0 R 145 0 R 144 0 R 140 0 R 139 0 R 138 0 R 137 0 R 136 0 R 133 0 R 132 0 R 126 0 R 125 0 R 122 0 R 121 0 R 120 0 R 119 0 R 118 0 R 117 0 R 115 0 R 114 0 R 111 0 R 98 0 R 97 0 R 96 0 R 92 0 R 91 0 R 90 0 R 88 0 R 87 0 R 86 0 R 81 0 R 78 0 R 77 0 R 76 0 R 69 0 R 68 0 R 66 0 R 65 0 R 64 0 R 62 0 R 61 0 R 60 0 R 56 0 R 55 0 R] >> endobj @@ -495,60 +489,60 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [43 58 0 R 59 60 57 0 R 62 56 0 R 64] - /Pg 506 0 R + /P 54 0 R + /K [65] + /Pg 543 0 R >> endobj 56 0 obj << /Type /StructElem - /S /Formula - /P 55 0 R - /K [63] - /Pg 506 0 R + /S /P + /P 54 0 R + /K [43 59 0 R 59 60 58 0 R 62 57 0 R 64] + /Pg 543 0 R >> endobj 57 0 obj << /Type /StructElem - /S /Strong - /P 55 0 R - /K [61] - /Pg 506 0 R + /S /Formula + /P 56 0 R + /K [63] + /Pg 543 0 R >> endobj 58 0 obj << /Type /StructElem - /S /Formula - /P 55 0 R - /K [44 45 46 47 48 49 50 51 52 53 54 55 56 57 58] - /Pg 506 0 R + /S /Strong + /P 56 0 R + /K [61] + /Pg 543 0 R >> endobj 59 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [42] - /Pg 506 0 R + /S /Formula + /P 56 0 R + /K [44 45 46 47 48 49 50 51 52 53 54 55 56 57 58] + /Pg 543 0 R >> endobj 60 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [41] - /Pg 506 0 R + /S /H4 + /P 54 0 R + /T + /K [42] + /Pg 543 0 R >> endobj @@ -556,40 +550,40 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [30 62 0 R 40] - /Pg 506 0 R + /P 54 0 R + /K [41] + /Pg 543 0 R >> endobj 62 0 obj << /Type /StructElem - /S /Formula - /P 61 0 R - /K [31 32 33 34 35 36 37 38 39] - /Pg 506 0 R + /S /P + /P 54 0 R + /K [30 63 0 R 40] + /Pg 543 0 R >> endobj 63 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [29] - /Pg 506 0 R + /S /Formula + /P 62 0 R + /K [31 32 33 34 35 36 37 38 39] + /Pg 543 0 R >> endobj 64 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [28] - /Pg 506 0 R + /S /H4 + /P 54 0 R + /T + /K [29] + /Pg 543 0 R >> endobj @@ -597,50 +591,50 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [25 66 0 R 27] - /Pg 506 0 R + /P 54 0 R + /K [28] + /Pg 543 0 R >> endobj 66 0 obj << /Type /StructElem - /S /Formula - /P 65 0 R - /K [26] - /Pg 506 0 R + /S /P + /P 54 0 R + /K [25 67 0 R 27] + /Pg 543 0 R >> endobj 67 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [24] - /Pg 506 0 R + /S /Formula + /P 66 0 R + /K [26] + /Pg 543 0 R >> endobj 68 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [2 74 0 R 4 73 0 R 8 72 0 R 10 71 0 R 13 70 0 R 15 69 0 R 23] - /Pg 506 0 R + /S /H4 + /P 54 0 R + /T + /K [24] + /Pg 543 0 R >> endobj 69 0 obj << /Type /StructElem - /S /Formula - /P 68 0 R - /K [16 17 18 19 20 21 22] - /Pg 506 0 R + /S /P + /P 54 0 R + /K [2 75 0 R 4 74 0 R 8 73 0 R 10 72 0 R 13 71 0 R 15 70 0 R 23] + /Pg 543 0 R >> endobj @@ -648,9 +642,9 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [14] - /Pg 506 0 R + /P 69 0 R + /K [16 17 18 19 20 21 22] + /Pg 543 0 R >> endobj @@ -658,9 +652,9 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [11 12] - /Pg 506 0 R + /P 69 0 R + /K [14] + /Pg 543 0 R >> endobj @@ -668,9 +662,9 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [9] - /Pg 506 0 R + /P 69 0 R + /K [11 12] + /Pg 543 0 R >> endobj @@ -678,9 +672,9 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [5 6 7] - /Pg 506 0 R + /P 69 0 R + /K [9] + /Pg 543 0 R >> endobj @@ -688,30 +682,30 @@ endobj << /Type /StructElem /S /Formula - /P 68 0 R - /K [3] - /Pg 506 0 R + /P 69 0 R + /K [5 6 7] + /Pg 543 0 R >> endobj 75 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (5: Kvadratiske former med symmetriske matricer) - /K [1] - /Pg 506 0 R + /S /Formula + /P 69 0 R + /K [3] + /Pg 543 0 R >> endobj 76 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [0] - /Pg 506 0 R + /S /H3 + /P 54 0 R + /T (5: Kvadratiske former med symmetriske matricer) + /K [1] + /Pg 543 0 R >> endobj @@ -719,59 +713,59 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [110 79 0 R 112 78 0 R 115] - /Pg 504 0 R + /P 54 0 R + /K [0] + /Pg 543 0 R >> endobj 78 0 obj << /Type /StructElem - /S /Formula - /P 77 0 R - /K [113 114] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [125 80 0 R 127 79 0 R 130] + /Pg 541 0 R >> endobj 79 0 obj << /Type /StructElem - /S /Strong - /P 77 0 R - /K [111] - /Pg 504 0 R + /S /Formula + /P 78 0 R + /K [128 129] + /Pg 541 0 R >> endobj 80 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [99 84 0 R 101 83 0 R 104 82 0 R 107 81 0 R 109] - /Pg 504 0 R + /S /Strong + /P 78 0 R + /K [126] + /Pg 541 0 R >> endobj 81 0 obj << /Type /StructElem - /S /Strong - /P 80 0 R - /K [108] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [114 85 0 R 116 84 0 R 119 83 0 R 122 82 0 R 124] + /Pg 541 0 R >> endobj 82 0 obj << /Type /StructElem - /S /Formula - /P 80 0 R - /K [105 106] - /Pg 504 0 R + /S /Strong + /P 81 0 R + /K [123] + /Pg 541 0 R >> endobj @@ -779,40 +773,40 @@ endobj << /Type /StructElem /S /Formula - /P 80 0 R - /K [102 103] - /Pg 504 0 R + /P 81 0 R + /K [120 121] + /Pg 541 0 R >> endobj 84 0 obj << /Type /StructElem - /S /Strong - /P 80 0 R - /K [100] - /Pg 504 0 R + /S /Formula + /P 81 0 R + /K [117 118] + /Pg 541 0 R >> endobj 85 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [98] - /Pg 504 0 R + /S /Strong + /P 81 0 R + /K [115] + /Pg 541 0 R >> endobj 86 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [97] - /Pg 504 0 R + /S /H4 + /P 54 0 R + /T + /K [113] + /Pg 541 0 R >> endobj @@ -820,40 +814,40 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [94 88 0 R 96] - /Pg 504 0 R + /P 54 0 R + /K [112] + /Pg 541 0 R >> endobj 88 0 obj << /Type /StructElem - /S /Strong - /P 87 0 R - /K [95] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [109 89 0 R 111] + /Pg 541 0 R >> endobj 89 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [93] - /Pg 504 0 R + /S /Strong + /P 88 0 R + /K [110] + /Pg 541 0 R >> endobj 90 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [92] - /Pg 504 0 R + /S /H4 + /P 54 0 R + /T + /K [108] + /Pg 541 0 R >> endobj @@ -861,19 +855,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [81 82 94 0 R 85 93 0 R 88 92 0 R 91] - /Pg 504 0 R + /P 54 0 R + /K [107] + /Pg 541 0 R >> endobj 92 0 obj << /Type /StructElem - /S /Formula - /P 91 0 R - /K [89 90] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [96 97 95 0 R 100 94 0 R 103 93 0 R 106] + /Pg 541 0 R >> endobj @@ -881,9 +875,9 @@ endobj << /Type /StructElem /S /Formula - /P 91 0 R - /K [86 87] - /Pg 504 0 R + /P 92 0 R + /K [104 105] + /Pg 541 0 R >> endobj @@ -891,239 +885,239 @@ endobj << /Type /StructElem /S /Formula - /P 91 0 R - /K [83 84] - /Pg 504 0 R + /P 92 0 R + /K [101 102] + /Pg 541 0 R >> endobj 95 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [80] - /Pg 504 0 R + /S /Formula + /P 92 0 R + /K [98 99] + /Pg 541 0 R >> endobj 96 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [79] - /Pg 504 0 R + /S /H4 + /P 54 0 R + /T + /K [95] + /Pg 541 0 R >> endobj 97 0 obj << /Type /StructElem - /S /L - /P 53 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [106 0 R 102 0 R 98 0 R] + /S /P + /P 54 0 R + /K [94] + /Pg 541 0 R >> endobj 98 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [101 0 R 99 0 R] + /S /L + /P 54 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [107 0 R 103 0 R 99 0 R] >> endobj 99 0 obj << /Type /StructElem - /S /LBody + /S /LI /P 98 0 R - /K [100 0 R] + /K [102 0 R 100 0 R] >> endobj 100 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 99 0 R - /K [65 66 67 68 69 70 71 72 73 74 75 76 77 78] - /Pg 504 0 R + /K [101 0 R] >> endobj 101 0 obj << /Type /StructElem - /S /Lbl - /P 98 0 R - /K [64] - /Pg 504 0 R + /S /Formula + /P 100 0 R + /K [80 81 82 83 84 85 86 87 88 89 90 91 92 93] + /Pg 541 0 R >> endobj 102 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [105 0 R 103 0 R] + /S /Lbl + /P 99 0 R + /K [79] + /Pg 541 0 R >> endobj 103 0 obj << /Type /StructElem - /S /LBody - /P 102 0 R - /K [104 0 R] + /S /LI + /P 98 0 R + /K [106 0 R 104 0 R] >> endobj 104 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 103 0 R - /K [51 52 53 54 55 56 57 58 59 60 61 62 63] - /Pg 504 0 R + /K [105 0 R] >> endobj 105 0 obj << /Type /StructElem - /S /Lbl - /P 102 0 R - /K [50] - /Pg 504 0 R + /S /Formula + /P 104 0 R + /K [66 67 68 69 70 71 72 73 74 75 76 77 78] + /Pg 541 0 R >> endobj 106 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [109 0 R 107 0 R] + /S /Lbl + /P 103 0 R + /K [65] + /Pg 541 0 R >> endobj 107 0 obj << /Type /StructElem - /S /LBody - /P 106 0 R - /K [108 0 R] + /S /LI + /P 98 0 R + /K [110 0 R 108 0 R] >> endobj 108 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 107 0 R - /K [38 39 40 41 42 43 44 45 46 47 48 49] - /Pg 504 0 R + /K [109 0 R] >> endobj 109 0 obj << /Type /StructElem - /S /Lbl - /P 106 0 R - /K [37] - /Pg 504 0 R + /S /Formula + /P 108 0 R + /K [53 54 55 56 57 58 59 60 61 62 63 64] + /Pg 541 0 R >> endobj 110 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [29 112 0 R 31 111 0 R 34 35 36] - /Pg 504 0 R + /S /Lbl + /P 107 0 R + /K [52] + /Pg 541 0 R >> endobj 111 0 obj << /Type /StructElem - /S /Formula - /P 110 0 R - /K [32 33] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [44 113 0 R 46 112 0 R 49 50 51] + /Pg 541 0 R >> endobj 112 0 obj << /Type /StructElem - /S /Strong - /P 110 0 R - /K [30] - /Pg 504 0 R + /S /Formula + /P 111 0 R + /K [47 48] + /Pg 541 0 R >> endobj 113 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [28] - /Pg 504 0 R + /S /Strong + /P 111 0 R + /K [45] + /Pg 541 0 R >> endobj 114 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [25 115 0 R 27] - /Pg 504 0 R + /S /H4 + /P 54 0 R + /T + /K [43] + /Pg 541 0 R >> endobj 115 0 obj << /Type /StructElem - /S /Strong - /P 114 0 R - /K [26] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [40 116 0 R 42] + /Pg 541 0 R >> endobj 116 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (4: Softmax-funktionen) - /K [24] - /Pg 504 0 R + /S /Strong + /P 115 0 R + /K [41] + /Pg 541 0 R >> endobj 117 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [23] - /Pg 504 0 R + /S /H3 + /P 54 0 R + /T (4: Softmax-funktionen) + /K [39] + /Pg 541 0 R >> endobj @@ -1131,30 +1125,30 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [21 22] - /Pg 504 0 R + /P 54 0 R + /K [38] + /Pg 541 0 R >> endobj 119 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [20] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [36 37] + /Pg 541 0 R >> endobj 120 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [19] - /Pg 504 0 R + /S /H4 + /P 54 0 R + /T + /K [35] + /Pg 541 0 R >> endobj @@ -1162,19 +1156,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [11 123 0 R 14 15 122 0 R 18] - /Pg 504 0 R + /P 54 0 R + /K [34] + /Pg 541 0 R >> endobj 122 0 obj << /Type /StructElem - /S /Formula - /P 121 0 R - /K [16 17] - /Pg 504 0 R + /S /P + /P 54 0 R + /K [26 124 0 R 29 30 123 0 R 33] + /Pg 541 0 R >> endobj @@ -1182,30 +1176,30 @@ endobj << /Type /StructElem /S /Formula - /P 121 0 R - /K [12 13] - /Pg 504 0 R + /P 122 0 R + /K [31 32] + /Pg 541 0 R >> endobj 124 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [10] - /Pg 504 0 R + /S /Formula + /P 122 0 R + /K [27 28] + /Pg 541 0 R >> endobj 125 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [9] - /Pg 504 0 R + /S /H4 + /P 54 0 R + /T + /K [25] + /Pg 541 0 R >> endobj @@ -1213,9 +1207,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [1 128 0 R 3 127 0 R 8] - /Pg 504 0 R + /P 54 0 R + /K [1 131 0 R 8 130 0 R 15 129 0 R 17 128 0 R 19 127 0 R] + /Pg 541 0 R >> endobj @@ -1224,8 +1218,8 @@ endobj /Type /StructElem /S /Formula /P 126 0 R - /K [4 5 6 7] - /Pg 504 0 R + /K [20 21 22 23 24] + /Pg 541 0 R >> endobj @@ -1234,59 +1228,58 @@ endobj /Type /StructElem /S /Formula /P 126 0 R - /K [2] - /Pg 504 0 R + /K [18] + /Pg 541 0 R >> endobj 129 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [0] - /Pg 504 0 R + /S /Formula + /P 126 0 R + /K [16] + /Pg 541 0 R >> endobj 130 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [309] - /Pg 502 0 R + /S /Formula + /P 126 0 R + /K [9 10 11 12 13 14] + /Pg 541 0 R >> endobj 131 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [277 134 0 R 287 288 133 0 R 298 132 0 R 308] - /Pg 502 0 R + /S /Formula + /P 126 0 R + /K [2 3 4 5 6 7] + /Pg 541 0 R >> endobj 132 0 obj << /Type /StructElem - /S /Formula - /P 131 0 R - /K [299 300 301 302 303 304 305 306 307] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [0] + /Pg 541 0 R >> endobj 133 0 obj << /Type /StructElem - /S /Formula - /P 131 0 R - /K [289 290 291 292 293 294 295 296 297] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [521 135 0 R 523 134 0 R 528] + /Pg 539 0 R >> endobj @@ -1294,40 +1287,40 @@ endobj << /Type /StructElem /S /Formula - /P 131 0 R - /K [278 279 280 281 282 283 284 285 286] - /Pg 502 0 R + /P 133 0 R + /K [524 525 526 527] + /Pg 539 0 R >> endobj 135 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [276] - /Pg 502 0 R + /S /Formula + /P 133 0 R + /K [522] + /Pg 539 0 R >> endobj 136 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [267 137 0 R 275] - /Pg 502 0 R + /S /H4 + /P 54 0 R + /T + /K [520] + /Pg 539 0 R >> endobj 137 0 obj << /Type /StructElem - /S /Formula - /P 136 0 R - /K [268 269 270 271 272 273 274] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [519] + /Pg 539 0 R >> endobj @@ -1335,13 +1328,13 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R + /P 54 0 R /A [<< /O /Layout /Placement /Block >>] - /K [248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266] - /Pg 502 0 R + /K [356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518] + /Pg 539 0 R >> endobj @@ -1349,19 +1342,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [239 140 0 R 247] - /Pg 502 0 R + /P 54 0 R + /K [355] + /Pg 539 0 R >> endobj 140 0 obj << /Type /StructElem - /S /Formula - /P 139 0 R - /K [240 241 242 243 244 245 246] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [323 143 0 R 333 334 142 0 R 344 141 0 R 354] + /Pg 539 0 R >> endobj @@ -1369,23 +1362,19 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238] - /Pg 502 0 R + /P 140 0 R + /K [345 346 347 348 349 350 351 352 353] + /Pg 539 0 R >> endobj 142 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [205] - /Pg 502 0 R + /S /Formula + /P 140 0 R + /K [335 336 337 338 339 340 341 342 343] + /Pg 539 0 R >> endobj @@ -1393,33 +1382,30 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204] - /Pg 502 0 R + /P 140 0 R + /K [324 325 326 327 328 329 330 331 332] + /Pg 539 0 R >> endobj 144 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [142 146 0 R 153 145 0 R 156] - /Pg 502 0 R + /S /H4 + /P 54 0 R + /T + /K [322] + /Pg 539 0 R >> endobj 145 0 obj << /Type /StructElem - /S /Formula - /P 144 0 R - /K [154 155] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [313 146 0 R 321] + /Pg 539 0 R >> endobj @@ -1427,20 +1413,23 @@ endobj << /Type /StructElem /S /Formula - /P 144 0 R - /K [143 144 145 146 147 148 149 150 151 152] - /Pg 502 0 R + /P 145 0 R + /K [314 315 316 317 318 319 320] + /Pg 539 0 R >> endobj 147 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (3: Forskellige(?) kvadratiske former) - /K [141] - /Pg 502 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312] + /Pg 539 0 R >> endobj @@ -1448,19 +1437,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [140] - /Pg 502 0 R + /P 54 0 R + /K [285 149 0 R 293] + /Pg 539 0 R >> endobj 149 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [81 153 0 R 91 152 0 R 101 151 0 R 124 125 150 0 R 139] - /Pg 502 0 R + /S /Formula + /P 148 0 R + /K [286 287 288 289 290 291 292] + /Pg 539 0 R >> endobj @@ -1468,19 +1457,23 @@ endobj << /Type /StructElem /S /Formula - /P 149 0 R - /K [126 127 128 129 130 131 132 133 134 135 136 137 138] - /Pg 502 0 R + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284] + /Pg 539 0 R >> endobj 151 0 obj << /Type /StructElem - /S /Formula - /P 149 0 R - /K [102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [251] + /Pg 539 0 R >> endobj @@ -1488,60 +1481,64 @@ endobj << /Type /StructElem /S /Formula - /P 149 0 R - /K [92 93 94 95 96 97 98 99 100] - /Pg 502 0 R + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250] + /Pg 539 0 R >> endobj 153 0 obj << /Type /StructElem - /S /Formula - /P 149 0 R - /K [82 83 84 85 86 87 88 89 90] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [188 155 0 R 199 154 0 R 202] + /Pg 539 0 R >> endobj 154 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (2: Partielle afledede af simpel skalar-funktion) - /K [80] - /Pg 502 0 R + /S /Formula + /P 153 0 R + /K [200 201] + /Pg 539 0 R >> endobj 155 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [79] - /Pg 502 0 R + /S /Formula + /P 153 0 R + /K [189 190 191 192 193 194 195 196 197 198] + /Pg 539 0 R >> endobj 156 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [51 160 0 R 62 159 0 R 65 158 0 R 73 157 0 R 78] - /Pg 502 0 R + /S /H3 + /P 54 0 R + /T (3: Forskellige(?) kvadratiske former) + /K [187] + /Pg 539 0 R >> endobj 157 0 obj << /Type /StructElem - /S /Formula - /P 156 0 R - /K [74 75 76 77] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [160 159 0 R 175 158 0 R] + /Pg 539 0 R >> endobj @@ -1549,9 +1546,9 @@ endobj << /Type /StructElem /S /Formula - /P 156 0 R - /K [66 67 68 69 70 71 72] - /Pg 502 0 R + /P 157 0 R + /K [176 177 178 179 180 181 182 183 184 185 186] + /Pg 539 0 R >> endobj @@ -1559,9 +1556,9 @@ endobj << /Type /StructElem /S /Formula - /P 156 0 R - /K [63 64] - /Pg 502 0 R + /P 157 0 R + /K [161 162 163 164 165 166 167 168 169 170 171 172 173 174] + /Pg 539 0 R >> endobj @@ -1569,9 +1566,13 @@ endobj << /Type /StructElem /S /Formula - /P 156 0 R - /K [52 53 54 55 56 57 58 59 60 61] - /Pg 502 0 R + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159] + /Pg 539 0 R >> endobj @@ -1579,43 +1580,39 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [50] - /Pg 502 0 R + /P 54 0 R + /K [162 0 R 93] + /Pg 539 0 R >> endobj 162 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [48 49] - /Pg 502 0 R + /S /Formula + /P 161 0 R + /K [88 89 90 91 92] + /Pg 539 0 R >> endobj 163 0 obj << /Type /StructElem - /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [62 165 0 R 77 164 0 R] + /Pg 539 0 R >> endobj 164 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [2 165 0 R 5] - /Pg 502 0 R + /S /Formula + /P 163 0 R + /K [78 79 80 81 82 83 84 85 86 87] + /Pg 539 0 R >> endobj @@ -1623,41 +1620,43 @@ endobj << /Type /StructElem /S /Formula - /P 164 0 R - /K [3 4] - /Pg 502 0 R + /P 163 0 R + /K [63 64 65 66 67 68 69 70 71 72 73 74 75 76] + /Pg 539 0 R >> endobj 166 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T - /K [1] - /Pg 502 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61] + /Pg 539 0 R >> endobj 167 0 obj << /Type /StructElem - /S /H2 - /P 53 0 R - /T - /K [0] - /Pg 502 0 R + /S /P + /P 54 0 R + /K [168 0 R 477] + /Pg 537 0 R >> endobj 168 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [0] - /Pg 500 0 R + /S /Formula + /P 167 0 R + /K [472 473 474 475 476] + /Pg 537 0 R >> endobj @@ -1665,19 +1664,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [76 172 0 R 78 171 0 R 80 170 0 R 82] - /Pg 498 0 R + /P 54 0 R + /K [471] + /Pg 537 0 R >> endobj 170 0 obj << /Type /StructElem - /S /Formula - /P 169 0 R - /K [81] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [420 174 0 R 426 173 0 R 432 172 0 R 455 456 171 0 R 470] + /Pg 537 0 R >> endobj @@ -1685,9 +1684,9 @@ endobj << /Type /StructElem /S /Formula - /P 169 0 R - /K [79] - /Pg 498 0 R + /P 170 0 R + /K [457 458 459 460 461 462 463 464 465 466 467 468 469] + /Pg 537 0 R >> endobj @@ -1695,50 +1694,50 @@ endobj << /Type /StructElem /S /Formula - /P 169 0 R - /K [77] - /Pg 498 0 R + /P 170 0 R + /K [433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454] + /Pg 537 0 R >> endobj 173 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [75] - /Pg 498 0 R + /S /Formula + /P 170 0 R + /K [427 428 429 430 431] + /Pg 537 0 R >> endobj 174 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [74] - /Pg 498 0 R + /S /Formula + /P 170 0 R + /K [421 422 423 424 425] + /Pg 537 0 R >> endobj 175 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [61 179 0 R 66 178 0 R 68 69 177 0 R 71 176 0 R 73] - /Pg 498 0 R + /S /H3 + /P 54 0 R + /T (2: Partielle afledede af simpel skalar-funktion) + /K [419] + /Pg 537 0 R >> endobj 176 0 obj << /Type /StructElem - /S /Code - /P 175 0 R - /K [72] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [179 0 R 408 178 0 R 413 177 0 R 417 418] + /Pg 537 0 R >> endobj @@ -1746,9 +1745,9 @@ endobj << /Type /StructElem /S /Formula - /P 175 0 R - /K [70] - /Pg 498 0 R + /P 176 0 R + /K [414 415 416] + /Pg 537 0 R >> endobj @@ -1756,9 +1755,9 @@ endobj << /Type /StructElem /S /Formula - /P 175 0 R - /K [67] - /Pg 498 0 R + /P 176 0 R + /K [409 410 411 412] + /Pg 537 0 R >> endobj @@ -1766,40 +1765,39 @@ endobj << /Type /StructElem /S /Formula - /P 175 0 R - /K [62 63 64 65] - /Pg 498 0 R + /P 176 0 R + /K [404 405 406 407] + /Pg 537 0 R >> endobj 180 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [60] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [182 0 R 399 181 0 R 403] + /Pg 537 0 R >> endobj 181 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [59] - /Pg 498 0 R + /S /Formula + /P 180 0 R + /K [400 401 402] + /Pg 537 0 R >> endobj 182 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [53 183 0 R 58] - /Pg 498 0 R + /S /Formula + /P 180 0 R + /K [396 397 398] + /Pg 537 0 R >> endobj @@ -1807,30 +1805,33 @@ endobj << /Type /StructElem /S /Formula - /P 182 0 R - /K [54 55 56 57] - /Pg 498 0 R + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395] + /Pg 537 0 R >> endobj 184 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [52] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [218 185 0 R 226] + /Pg 537 0 R >> endobj 185 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [51] - /Pg 498 0 R + /S /Formula + /P 184 0 R + /K [219 220 221 222 223 224 225] + /Pg 537 0 R >> endobj @@ -1838,9 +1839,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [45 187 0 R 50] - /Pg 498 0 R + /P 54 0 R + /K [187 0 R 217] + /Pg 537 0 R >> endobj @@ -1849,19 +1850,22 @@ endobj /Type /StructElem /S /Formula /P 186 0 R - /K [46 47 48 49] - /Pg 498 0 R + /K [215 216] + /Pg 537 0 R >> endobj 188 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [44] - /Pg 498 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214] + /Pg 537 0 R >> endobj @@ -1869,9 +1873,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [43] - /Pg 498 0 R + /P 54 0 R + /K [80] + /Pg 537 0 R >> endobj @@ -1879,19 +1883,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [30 192 0 R 36 191 0 R 42] - /Pg 498 0 R + /P 54 0 R + /K [79] + /Pg 537 0 R >> endobj 191 0 obj << /Type /StructElem - /S /Formula - /P 190 0 R - /K [37 38 39 40 41] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [51 195 0 R 62 194 0 R 65 193 0 R 73 192 0 R 78] + /Pg 537 0 R >> endobj @@ -1899,30 +1903,29 @@ endobj << /Type /StructElem /S /Formula - /P 190 0 R - /K [31 32 33 34 35] - /Pg 498 0 R + /P 191 0 R + /K [74 75 76 77] + /Pg 537 0 R >> endobj 193 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [29] - /Pg 498 0 R + /S /Formula + /P 191 0 R + /K [66 67 68 69 70 71 72] + /Pg 537 0 R >> endobj 194 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [18 196 0 R 24 25 195 0 R 27 28] - /Pg 498 0 R + /S /Formula + /P 191 0 R + /K [63 64] + /Pg 537 0 R >> endobj @@ -1930,19 +1933,19 @@ endobj << /Type /StructElem /S /Formula - /P 194 0 R - /K [26] - /Pg 498 0 R + /P 191 0 R + /K [52 53 54 55 56 57 58 59 60 61] + /Pg 537 0 R >> endobj 196 0 obj << /Type /StructElem - /S /Formula - /P 194 0 R - /K [19 20 21 22 23] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [50] + /Pg 537 0 R >> endobj @@ -1950,71 +1953,75 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [17] - /Pg 498 0 R + /P 54 0 R + /K [48 49] + /Pg 537 0 R >> endobj 198 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [16] - /Pg 498 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47] + /Pg 537 0 R >> endobj 199 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T - /K [15] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [2 200 0 R 5] + /Pg 537 0 R >> endobj 200 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [14] - /Pg 498 0 R + /S /Formula + /P 199 0 R + /K [3 4] + /Pg 537 0 R >> endobj 201 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [11 202 0 R 13] - /Pg 498 0 R + /S /H3 + /P 54 0 R + /T + /K [1] + /Pg 537 0 R >> endobj 202 0 obj << /Type /StructElem - /S /Formula - /P 201 0 R - /K [12] - /Pg 498 0 R + /S /H2 + /P 54 0 R + /T + /K [0] + /Pg 537 0 R >> endobj 203 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [10] - /Pg 498 0 R + /S /P + /P 54 0 R + /K [0] + /Pg 535 0 R >> endobj @@ -2022,19 +2029,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [9] - /Pg 498 0 R + /P 54 0 R + /K [76 207 0 R 78 206 0 R 80 205 0 R 82] + /Pg 533 0 R >> endobj 205 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [1 207 0 R 6 206 0 R 8] - /Pg 498 0 R + /S /Formula + /P 204 0 R + /K [81] + /Pg 533 0 R >> endobj @@ -2042,9 +2049,9 @@ endobj << /Type /StructElem /S /Formula - /P 205 0 R - /K [7] - /Pg 498 0 R + /P 204 0 R + /K [79] + /Pg 533 0 R >> endobj @@ -2052,9 +2059,9 @@ endobj << /Type /StructElem /S /Formula - /P 205 0 R - /K [2 3 4 5] - /Pg 498 0 R + /P 204 0 R + /K [77] + /Pg 533 0 R >> endobj @@ -2062,10 +2069,10 @@ endobj << /Type /StructElem /S /H4 - /P 53 0 R - /T - /K [0] - /Pg 498 0 R + /P 54 0 R + /T + /K [75] + /Pg 533 0 R >> endobj @@ -2073,9 +2080,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [188] - /Pg 496 0 R + /P 54 0 R + /K [74] + /Pg 533 0 R >> endobj @@ -2083,40 +2090,39 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [185 211 0 R 187] - /Pg 496 0 R + /P 54 0 R + /K [61 214 0 R 66 213 0 R 68 69 212 0 R 71 211 0 R 73] + /Pg 533 0 R >> endobj 211 0 obj << /Type /StructElem - /S /Formula + /S /Code /P 210 0 R - /K [186] - /Pg 496 0 R + /K [72] + /Pg 533 0 R >> endobj 212 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [184] - /Pg 496 0 R + /S /Formula + /P 210 0 R + /K [70] + /Pg 533 0 R >> endobj 213 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [163 217 0 R 171 216 0 R 178 215 0 R 180 214 0 R 183] - /Pg 496 0 R + /S /Formula + /P 210 0 R + /K [67] + /Pg 533 0 R >> endobj @@ -2124,39 +2130,40 @@ endobj << /Type /StructElem /S /Formula - /P 213 0 R - /K [181 182] - /Pg 496 0 R + /P 210 0 R + /K [62 63 64 65] + /Pg 533 0 R >> endobj 215 0 obj << /Type /StructElem - /S /Formula - /P 213 0 R - /K [179] - /Pg 496 0 R + /S /H4 + /P 54 0 R + /T + /K [60] + /Pg 533 0 R >> endobj 216 0 obj << /Type /StructElem - /S /Formula - /P 213 0 R - /K [172 173 174 175 176 177] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [59] + /Pg 533 0 R >> endobj 217 0 obj << /Type /StructElem - /S /Formula - /P 213 0 R - /K [164 165 166 167 168 169 170] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [53 218 0 R 58] + /Pg 533 0 R >> endobj @@ -2164,74 +2171,71 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162] - /Pg 496 0 R + /P 217 0 R + /K [54 55 56 57] + /Pg 533 0 R >> endobj 219 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [130 220 0 R 140] - /Pg 496 0 R + /S /H4 + /P 54 0 R + /T + /K [52] + /Pg 533 0 R >> endobj 220 0 obj << /Type /StructElem - /S /Formula - /P 219 0 R - /K [131 132 133 134 135 136 137 138 139] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [51] + /Pg 533 0 R >> endobj 221 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T - /K [129] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [45 222 0 R 50] + /Pg 533 0 R >> endobj 222 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [128] - /Pg 496 0 R + /S /Formula + /P 221 0 R + /K [46 47 48 49] + /Pg 533 0 R >> endobj 223 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [123 224 0 R 126 127] - /Pg 496 0 R + /S /H4 + /P 54 0 R + /T + /K [44] + /Pg 533 0 R >> endobj 224 0 obj << /Type /StructElem - /S /Formula - /P 223 0 R - /K [124 125] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [43] + /Pg 533 0 R >> endobj @@ -2239,39 +2243,40 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [120 121 122] - /Pg 496 0 R + /P 54 0 R + /K [30 227 0 R 36 226 0 R 42] + /Pg 533 0 R >> endobj 226 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [119] - /Pg 496 0 R + /S /Formula + /P 225 0 R + /K [37 38 39 40 41] + /Pg 533 0 R >> endobj 227 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [105 228 0 R 118] - /Pg 496 0 R + /S /Formula + /P 225 0 R + /K [31 32 33 34 35] + /Pg 533 0 R >> endobj 228 0 obj << /Type /StructElem - /S /Formula - /P 227 0 R - /K [106 107 108 109 110 111 112 113 114 115 116 117] - /Pg 496 0 R + /S /H4 + /P 54 0 R + /T + /K [29] + /Pg 533 0 R >> endobj @@ -2279,9 +2284,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [98 230 0 R 103 104] - /Pg 496 0 R + /P 54 0 R + /K [18 231 0 R 24 25 230 0 R 27 28] + /Pg 533 0 R >> endobj @@ -2290,19 +2295,18 @@ endobj /Type /StructElem /S /Formula /P 229 0 R - /K [99 100 101 102] - /Pg 496 0 R + /K [26] + /Pg 533 0 R >> endobj 231 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T - /K [97] - /Pg 496 0 R + /S /Formula + /P 229 0 R + /K [19 20 21 22 23] + /Pg 533 0 R >> endobj @@ -2310,9 +2314,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [96] - /Pg 496 0 R + /P 54 0 R + /K [17] + /Pg 533 0 R >> endobj @@ -2320,29 +2324,30 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [86 235 0 R 91 234 0 R 95] - /Pg 496 0 R + /P 54 0 R + /K [16] + /Pg 533 0 R >> endobj 234 0 obj << /Type /StructElem - /S /Strong - /P 233 0 R - /K [92 93 94] - /Pg 496 0 R + /S /H3 + /P 54 0 R + /T + /K [15] + /Pg 533 0 R >> endobj 235 0 obj << /Type /StructElem - /S /Formula - /P 233 0 R - /K [87 88 89 90] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [14] + /Pg 533 0 R >> endobj @@ -2350,9 +2355,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [64 237 0 R 85] - /Pg 496 0 R + /P 54 0 R + /K [11 237 0 R 13] + /Pg 533 0 R >> endobj @@ -2361,22 +2366,19 @@ endobj /Type /StructElem /S /Formula /P 236 0 R - /K [65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84] - /Pg 496 0 R + /K [12] + /Pg 533 0 R >> endobj 238 0 obj << /Type /StructElem - /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63] - /Pg 496 0 R + /S /H4 + /P 54 0 R + /T + /K [10] + /Pg 533 0 R >> endobj @@ -2384,29 +2386,29 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [29 241 0 R 31 240 0 R 40 41] - /Pg 496 0 R + /P 54 0 R + /K [9] + /Pg 533 0 R >> endobj 240 0 obj << /Type /StructElem - /S /Formula - /P 239 0 R - /K [32 33 34 35 36 37 38 39] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [1 242 0 R 6 241 0 R 8] + /Pg 533 0 R >> endobj 241 0 obj << /Type /StructElem - /S /Strong - /P 239 0 R - /K [30] - /Pg 496 0 R + /S /Formula + /P 240 0 R + /K [7] + /Pg 533 0 R >> endobj @@ -2414,115 +2416,111 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28] - /Pg 496 0 R + /P 240 0 R + /K [2 3 4 5] + /Pg 533 0 R >> endobj 243 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [0 245 0 R 2 244 0 R 9] - /Pg 496 0 R + /S /H4 + /P 54 0 R + /T + /K [0] + /Pg 533 0 R >> endobj 244 0 obj << /Type /StructElem - /S /Formula - /P 243 0 R - /K [3 4 5 6 7 8] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [188] + /Pg 531 0 R >> endobj 245 0 obj << /Type /StructElem - /S /Strong - /P 243 0 R - /K [1] - /Pg 496 0 R + /S /P + /P 54 0 R + /K [185 246 0 R 187] + /Pg 531 0 R >> endobj 246 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [253 254 247 0 R 257] - /Pg 494 0 R + /S /Formula + /P 245 0 R + /K [186] + /Pg 531 0 R >> endobj 247 0 obj << /Type /StructElem - /S /Formula - /P 246 0 R - /K [255 256] - /Pg 494 0 R + /S /H4 + /P 54 0 R + /T + /K [184] + /Pg 531 0 R >> endobj 248 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [252] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [163 252 0 R 171 251 0 R 178 250 0 R 180 249 0 R 183] + /Pg 531 0 R >> endobj 249 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [251] - /Pg 494 0 R + /S /Formula + /P 248 0 R + /K [181 182] + /Pg 531 0 R >> endobj 250 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [250] - /Pg 494 0 R + /S /Formula + /P 248 0 R + /K [179] + /Pg 531 0 R >> endobj 251 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [249] - /Pg 494 0 R + /S /Formula + /P 248 0 R + /K [172 173 174 175 176 177] + /Pg 531 0 R >> endobj 252 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [248] - /Pg 494 0 R + /S /Formula + /P 248 0 R + /K [164 165 166 167 168 169 170] + /Pg 531 0 R >> endobj @@ -2530,13 +2528,13 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R + /P 54 0 R /A [<< /O /Layout /Placement /Block >>] - /K [178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247] - /Pg 494 0 R + /K [141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162] + /Pg 531 0 R >> endobj @@ -2544,9 +2542,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [172 255 0 R 177] - /Pg 494 0 R + /P 54 0 R + /K [130 255 0 R 140] + /Pg 531 0 R >> endobj @@ -2555,18 +2553,19 @@ endobj /Type /StructElem /S /Formula /P 254 0 R - /K [173 174 175 176] - /Pg 494 0 R + /K [131 132 133 134 135 136 137 138 139] + /Pg 531 0 R >> endobj 256 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [171] - /Pg 494 0 R + /S /H3 + /P 54 0 R + /T + /K [129] + /Pg 531 0 R >> endobj @@ -2574,19 +2573,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [163 259 0 R 165 258 0 R 170] - /Pg 494 0 R + /P 54 0 R + /K [128] + /Pg 531 0 R >> endobj 258 0 obj << /Type /StructElem - /S /Formula - /P 257 0 R - /K [166 167 168 169] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [123 259 0 R 126 127] + /Pg 531 0 R >> endobj @@ -2594,20 +2593,19 @@ endobj << /Type /StructElem /S /Formula - /P 257 0 R - /K [164] - /Pg 494 0 R + /P 258 0 R + /K [124 125] + /Pg 531 0 R >> endobj 260 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [162] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [120 121 122] + /Pg 531 0 R >> endobj @@ -2615,18 +2613,19 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [262 0 R] + /P 54 0 R + /K [119] + /Pg 531 0 R >> endobj 262 0 obj << /Type /StructElem - /S /Formula - /P 261 0 R - /K [151 152 153 154 155 156 157 158 159 160 161] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [105 263 0 R 118] + /Pg 531 0 R >> endobj @@ -2634,13 +2633,9 @@ endobj << /Type /StructElem /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150] - /Pg 494 0 R + /P 262 0 R + /K [106 107 108 109 110 111 112 113 114 115 116 117] + /Pg 531 0 R >> endobj @@ -2648,64 +2643,60 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [56] - /Pg 494 0 R + /P 54 0 R + /K [98 265 0 R 103 104] + /Pg 531 0 R >> endobj 265 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [46 266 0 R 55] - /Pg 494 0 R + /S /Formula + /P 264 0 R + /K [99 100 101 102] + /Pg 531 0 R >> endobj 266 0 obj << /Type /StructElem - /S /Formula - /P 265 0 R - /K [47 48 49 50 51 52 53 54] - /Pg 494 0 R + /S /H3 + /P 54 0 R + /T + /K [97] + /Pg 531 0 R >> endobj 267 0 obj << /Type /StructElem - /S /H4 - /P 53 0 R - /T - /K [45] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [96] + /Pg 531 0 R >> endobj 268 0 obj << /Type /StructElem - /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [86 270 0 R 91 269 0 R 95] + /Pg 531 0 R >> endobj 269 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [0 273 0 R 2 272 0 R 12 13 14 271 0 R 16 270 0 R 23 24] - /Pg 494 0 R + /S /Strong + /P 268 0 R + /K [92 93 94] + /Pg 531 0 R >> endobj @@ -2713,19 +2704,19 @@ endobj << /Type /StructElem /S /Formula - /P 269 0 R - /K [17 18 19 20 21 22] - /Pg 494 0 R + /P 268 0 R + /K [87 88 89 90] + /Pg 531 0 R >> endobj 271 0 obj << /Type /StructElem - /S /Strong - /P 269 0 R - /K [15] - /Pg 494 0 R + /S /P + /P 54 0 R + /K [64 272 0 R 85] + /Pg 531 0 R >> endobj @@ -2733,53 +2724,53 @@ endobj << /Type /StructElem /S /Formula - /P 269 0 R - /K [3 4 5 6 7 8 9 10 11] - /Pg 494 0 R + /P 271 0 R + /K [65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84] + /Pg 531 0 R >> endobj 273 0 obj << /Type /StructElem - /S /Strong - /P 269 0 R - /K [1] - /Pg 494 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63] + /Pg 531 0 R >> endobj 274 0 obj << /Type /StructElem - /S /Formula - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [29 276 0 R 31 275 0 R 40 41] + /Pg 531 0 R >> endobj 275 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [287 277 0 R 294 276 0 R 298 299] - /Pg 492 0 R + /S /Formula + /P 274 0 R + /K [32 33 34 35 36 37 38 39] + /Pg 531 0 R >> endobj 276 0 obj << /Type /StructElem - /S /Formula - /P 275 0 R - /K [295 296 297] - /Pg 492 0 R + /S /Strong + /P 274 0 R + /K [30] + /Pg 531 0 R >> endobj @@ -2787,70 +2778,74 @@ endobj << /Type /StructElem /S /Formula - /P 275 0 R - /K [288 289 290 291 292 293] - /Pg 492 0 R + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28] + /Pg 531 0 R >> endobj 278 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T - /K [286] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [0 280 0 R 2 279 0 R 9] + /Pg 531 0 R >> endobj 279 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [285] - /Pg 492 0 R + /S /Formula + /P 278 0 R + /K [3 4 5 6 7 8] + /Pg 531 0 R >> endobj 280 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [278 283 0 R 280 282 0 R 282 281 0 R 284] - /Pg 492 0 R + /S /Strong + /P 278 0 R + /K [1] + /Pg 531 0 R >> endobj 281 0 obj << /Type /StructElem - /S /Code - /P 280 0 R - /K [283] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [253 254 282 0 R 257] + /Pg 529 0 R >> endobj 282 0 obj << /Type /StructElem - /S /Code - /P 280 0 R - /K [281] - /Pg 492 0 R + /S /Formula + /P 281 0 R + /K [255 256] + /Pg 529 0 R >> endobj 283 0 obj << /Type /StructElem - /S /Code - /P 280 0 R - /K [279] - /Pg 492 0 R + /S /H4 + /P 54 0 R + /T + /K [252] + /Pg 529 0 R >> endobj @@ -2858,41 +2853,40 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [277] - /Pg 492 0 R + /P 54 0 R + /K [251] + /Pg 529 0 R >> endobj 285 0 obj << /Type /StructElem - /S /L - /P 53 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [306 0 R 302 0 R 298 0 R 294 0 R 290 0 R 286 0 R] + /S /P + /P 54 0 R + /K [250] + /Pg 529 0 R >> endobj 286 0 obj << /Type /StructElem - /S /LI - /P 285 0 R - /K [289 0 R 287 0 R] + /S /P + /P 54 0 R + /K [249] + /Pg 529 0 R >> endobj 287 0 obj << /Type /StructElem - /S /LBody - /P 286 0 R - /K [246 288 0 R] - /Pg 492 0 R + /S /H4 + /P 54 0 R + /T + /K [248] + /Pg 529 0 R >> endobj @@ -2900,214 +2894,236 @@ endobj << /Type /StructElem /S /Formula - /P 287 0 R - /K [247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276] - /Pg 492 0 R + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247] + /Pg 529 0 R >> endobj 289 0 obj << /Type /StructElem - /S /Lbl - /P 286 0 R - /K [245] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [172 290 0 R 177] + /Pg 529 0 R >> endobj 290 0 obj << /Type /StructElem - /S /LI - /P 285 0 R - /K [293 0 R 291 0 R] + /S /Formula + /P 289 0 R + /K [173 174 175 176] + /Pg 529 0 R >> endobj 291 0 obj << /Type /StructElem - /S /LBody - /P 290 0 R - /K [209 292 0 R] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [171] + /Pg 529 0 R >> endobj 292 0 obj << /Type /StructElem - /S /Formula - /P 291 0 R - /K [210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [163 294 0 R 165 293 0 R 170] + /Pg 529 0 R >> endobj 293 0 obj << /Type /StructElem - /S /Lbl - /P 290 0 R - /K [208] - /Pg 492 0 R + /S /Formula + /P 292 0 R + /K [166 167 168 169] + /Pg 529 0 R >> endobj 294 0 obj << /Type /StructElem - /S /LI - /P 285 0 R - /K [297 0 R 295 0 R] + /S /Formula + /P 292 0 R + /K [164] + /Pg 529 0 R >> endobj 295 0 obj << /Type /StructElem - /S /LBody - /P 294 0 R - /K [180 296 0 R] - /Pg 492 0 R + /S /H4 + /P 54 0 R + /T + /K [162] + /Pg 529 0 R >> endobj 296 0 obj << /Type /StructElem - /S /Formula - /P 295 0 R - /K [181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [297 0 R] >> endobj 297 0 obj << /Type /StructElem - /S /Lbl - /P 294 0 R - /K [179] - /Pg 492 0 R + /S /Formula + /P 296 0 R + /K [151 152 153 154 155 156 157 158 159 160 161] + /Pg 529 0 R >> endobj 298 0 obj << /Type /StructElem - /S /LI - /P 285 0 R - /K [301 0 R 299 0 R] + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150] + /Pg 529 0 R >> endobj 299 0 obj << /Type /StructElem - /S /LBody - /P 298 0 R - /K [145 300 0 R] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [56] + /Pg 529 0 R >> endobj 300 0 obj << /Type /StructElem - /S /Formula - /P 299 0 R - /K [146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [46 301 0 R 55] + /Pg 529 0 R >> endobj 301 0 obj << /Type /StructElem - /S /Lbl - /P 298 0 R - /K [144] - /Pg 492 0 R + /S /Formula + /P 300 0 R + /K [47 48 49 50 51 52 53 54] + /Pg 529 0 R >> endobj 302 0 obj << /Type /StructElem - /S /LI - /P 285 0 R - /K [305 0 R 303 0 R] + /S /H4 + /P 54 0 R + /T + /K [45] + /Pg 529 0 R >> endobj 303 0 obj << /Type /StructElem - /S /LBody - /P 302 0 R - /K [110 304 0 R] - /Pg 492 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44] + /Pg 529 0 R >> endobj 304 0 obj << /Type /StructElem - /S /Formula - /P 303 0 R - /K [111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [0 308 0 R 2 307 0 R 12 13 14 306 0 R 16 305 0 R 23 24] + /Pg 529 0 R >> endobj 305 0 obj << /Type /StructElem - /S /Lbl - /P 302 0 R - /K [109] - /Pg 492 0 R + /S /Formula + /P 304 0 R + /K [17 18 19 20 21 22] + /Pg 529 0 R >> endobj 306 0 obj << /Type /StructElem - /S /LI - /P 285 0 R - /K [309 0 R 307 0 R] + /S /Strong + /P 304 0 R + /K [15] + /Pg 529 0 R >> endobj 307 0 obj << /Type /StructElem - /S /LBody - /P 306 0 R - /K [85 308 0 R] - /Pg 492 0 R + /S /Formula + /P 304 0 R + /K [3 4 5 6 7 8 9 10 11] + /Pg 529 0 R >> endobj 308 0 obj << /Type /StructElem - /S /Formula - /P 307 0 R - /K [86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108] - /Pg 492 0 R + /S /Strong + /P 304 0 R + /K [1] + /Pg 529 0 R >> endobj 309 0 obj << /Type /StructElem - /S /Lbl - /P 306 0 R - /K [84] - /Pg 492 0 R + /S /Formula + /P 54 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333] + /Pg 527 0 R >> endobj @@ -3115,40 +3131,40 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [82 83] - /Pg 492 0 R + /P 54 0 R + /K [287 312 0 R 294 311 0 R 298 299] + /Pg 527 0 R >> endobj 311 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (5: Mulige visualiseringer) - /K [81] - /Pg 492 0 R + /S /Formula + /P 310 0 R + /K [295 296 297] + /Pg 527 0 R >> endobj 312 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [76 313 0 R 80] - /Pg 492 0 R + /S /Formula + /P 310 0 R + /K [288 289 290 291 292 293] + /Pg 527 0 R >> endobj 313 0 obj << /Type /StructElem - /S /Formula - /P 312 0 R - /K [77 78 79] - /Pg 492 0 R + /S /H3 + /P 54 0 R + /T + /K [286] + /Pg 527 0 R >> endobj @@ -3156,9 +3172,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [75] - /Pg 492 0 R + /P 54 0 R + /K [285] + /Pg 527 0 R >> endobj @@ -3166,92 +3182,91 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [66 316 0 R 74] - /Pg 492 0 R + /P 54 0 R + /K [278 318 0 R 280 317 0 R 282 316 0 R 284] + /Pg 527 0 R >> endobj 316 0 obj << /Type /StructElem - /S /Formula + /S /Code /P 315 0 R - /K [67 68 69 70 71 72 73] - /Pg 492 0 R + /K [283] + /Pg 527 0 R >> endobj 317 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (4: Ikke-linearitet af ReLU) - /K [65] - /Pg 492 0 R + /S /Code + /P 315 0 R + /K [281] + /Pg 527 0 R >> endobj 318 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [60 319 0 R 64] - /Pg 492 0 R + /S /Code + /P 315 0 R + /K [279] + /Pg 527 0 R >> endobj 319 0 obj << /Type /StructElem - /S /Formula - /P 318 0 R - /K [61 62 63] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [277] + /Pg 527 0 R >> endobj 320 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [59] - /Pg 492 0 R + /S /L + /P 54 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [341 0 R 337 0 R 333 0 R 329 0 R 325 0 R 321 0 R] >> endobj 321 0 obj << /Type /StructElem - /S /L - /P 53 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [337 0 R 333 0 R 329 0 R 325 0 R 322 0 R] + /S /LI + /P 320 0 R + /K [324 0 R 322 0 R] >> endobj 322 0 obj << /Type /StructElem - /S /LI + /S /LBody /P 321 0 R - /K [324 0 R 323 0 R] + /K [246 323 0 R] + /Pg 527 0 R >> endobj 323 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 322 0 R - /K [58] - /Pg 492 0 R + /K [247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276] + /Pg 527 0 R >> endobj @@ -3259,9 +3274,9 @@ endobj << /Type /StructElem /S /Lbl - /P 322 0 R - /K [57] - /Pg 492 0 R + /P 321 0 R + /K [245] + /Pg 527 0 R >> endobj @@ -3269,7 +3284,7 @@ endobj << /Type /StructElem /S /LI - /P 321 0 R + /P 320 0 R /K [328 0 R 326 0 R] >> endobj @@ -3279,8 +3294,8 @@ endobj /Type /StructElem /S /LBody /P 325 0 R - /K [52 327 0 R 56] - /Pg 492 0 R + /K [209 327 0 R] + /Pg 527 0 R >> endobj @@ -3289,8 +3304,8 @@ endobj /Type /StructElem /S /Formula /P 326 0 R - /K [53 54 55] - /Pg 492 0 R + /K [210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244] + /Pg 527 0 R >> endobj @@ -3299,8 +3314,8 @@ endobj /Type /StructElem /S /Lbl /P 325 0 R - /K [51] - /Pg 492 0 R + /K [208] + /Pg 527 0 R >> endobj @@ -3308,7 +3323,7 @@ endobj << /Type /StructElem /S /LI - /P 321 0 R + /P 320 0 R /K [332 0 R 330 0 R] >> endobj @@ -3318,8 +3333,8 @@ endobj /Type /StructElem /S /LBody /P 329 0 R - /K [46 331 0 R 50] - /Pg 492 0 R + /K [180 331 0 R] + /Pg 527 0 R >> endobj @@ -3328,8 +3343,8 @@ endobj /Type /StructElem /S /Formula /P 330 0 R - /K [47 48 49] - /Pg 492 0 R + /K [181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207] + /Pg 527 0 R >> endobj @@ -3338,8 +3353,8 @@ endobj /Type /StructElem /S /Lbl /P 329 0 R - /K [45] - /Pg 492 0 R + /K [179] + /Pg 527 0 R >> endobj @@ -3347,7 +3362,7 @@ endobj << /Type /StructElem /S /LI - /P 321 0 R + /P 320 0 R /K [336 0 R 334 0 R] >> endobj @@ -3357,8 +3372,8 @@ endobj /Type /StructElem /S /LBody /P 333 0 R - /K [40 335 0 R 44] - /Pg 492 0 R + /K [145 335 0 R] + /Pg 527 0 R >> endobj @@ -3367,8 +3382,8 @@ endobj /Type /StructElem /S /Formula /P 334 0 R - /K [41 42 43] - /Pg 492 0 R + /K [146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178] + /Pg 527 0 R >> endobj @@ -3377,8 +3392,8 @@ endobj /Type /StructElem /S /Lbl /P 333 0 R - /K [39] - /Pg 492 0 R + /K [144] + /Pg 527 0 R >> endobj @@ -3386,7 +3401,7 @@ endobj << /Type /StructElem /S /LI - /P 321 0 R + /P 320 0 R /K [340 0 R 338 0 R] >> endobj @@ -3396,8 +3411,8 @@ endobj /Type /StructElem /S /LBody /P 337 0 R - /K [34 339 0 R 38] - /Pg 492 0 R + /K [110 339 0 R] + /Pg 527 0 R >> endobj @@ -3406,8 +3421,8 @@ endobj /Type /StructElem /S /Formula /P 338 0 R - /K [35 36 37] - /Pg 492 0 R + /K [111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143] + /Pg 527 0 R >> endobj @@ -3416,28 +3431,27 @@ endobj /Type /StructElem /S /Lbl /P 337 0 R - /K [33] - /Pg 492 0 R + /K [109] + /Pg 527 0 R >> endobj 341 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [1 346 0 R 7 345 0 R 18 344 0 R 25 26 343 0 R 28 342 0 R 32] - /Pg 492 0 R + /S /LI + /P 320 0 R + /K [344 0 R 342 0 R] >> endobj 342 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 341 0 R - /K [29 30 31] - /Pg 492 0 R + /K [85 343 0 R] + /Pg 527 0 R >> endobj @@ -3445,80 +3459,80 @@ endobj << /Type /StructElem /S /Formula - /P 341 0 R - /K [27] - /Pg 492 0 R + /P 342 0 R + /K [86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108] + /Pg 527 0 R >> endobj 344 0 obj << /Type /StructElem - /S /Formula + /S /Lbl /P 341 0 R - /K [19 20 21 22 23 24] - /Pg 492 0 R + /K [84] + /Pg 527 0 R >> endobj 345 0 obj << /Type /StructElem - /S /Formula - /P 341 0 R - /K [8 9 10 11 12 13 14 15 16 17] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [82 83] + /Pg 527 0 R >> endobj 346 0 obj << /Type /StructElem - /S /Formula - /P 341 0 R - /K [2 3 4 5 6] - /Pg 492 0 R + /S /H3 + /P 54 0 R + /T (5: Mulige visualiseringer) + /K [81] + /Pg 527 0 R >> endobj 347 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (3: Funktion med ukendt forskrift) - /K [0] - /Pg 492 0 R + /S /P + /P 54 0 R + /K [76 348 0 R 80] + /Pg 527 0 R >> endobj 348 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [351 0 R 185 350 0 R 191 349 0 R 197] - /Pg 490 0 R + /S /Formula + /P 347 0 R + /K [77 78 79] + /Pg 527 0 R >> endobj 349 0 obj << /Type /StructElem - /S /Formula - /P 348 0 R - /K [192 193 194 195 196] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [75] + /Pg 527 0 R >> endobj 350 0 obj << /Type /StructElem - /S /Formula - /P 348 0 R - /K [186 187 188 189 190] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [66 351 0 R 74] + /Pg 527 0 R >> endobj @@ -3526,19 +3540,20 @@ endobj << /Type /StructElem /S /Formula - /P 348 0 R - /K [180 181 182 183 184] - /Pg 490 0 R + /P 350 0 R + /K [67 68 69 70 71 72 73] + /Pg 527 0 R >> endobj 352 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [179] - /Pg 490 0 R + /S /H3 + /P 54 0 R + /T (4: Ikke-linearitet af ReLU) + /K [65] + /Pg 527 0 R >> endobj @@ -3546,94 +3561,90 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [178] - /Pg 490 0 R + /P 54 0 R + /K [60 354 0 R 64] + /Pg 527 0 R >> endobj 354 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [173 355 0 R 177] - /Pg 490 0 R + /S /Formula + /P 353 0 R + /K [61 62 63] + /Pg 527 0 R >> endobj 355 0 obj << /Type /StructElem - /S /Formula - /P 354 0 R - /K [174 175 176] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [59] + /Pg 527 0 R >> endobj 356 0 obj << /Type /StructElem - /S /Formula - /P 53 0 R + /S /L + /P 54 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Decimal >>] - /K [119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172] - /Pg 490 0 R + /K [372 0 R 368 0 R 364 0 R 360 0 R 357 0 R] >> endobj 357 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [111 358 0 R 118] - /Pg 490 0 R + /S /LI + /P 356 0 R + /K [359 0 R 358 0 R] >> endobj 358 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 357 0 R - /K [112 113 114 115 116 117] - /Pg 490 0 R + /K [58] + /Pg 527 0 R >> endobj 359 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (2: Ens funktionsforskrifter?) - /K [110] - /Pg 490 0 R + /S /Lbl + /P 357 0 R + /K [57] + /Pg 527 0 R >> endobj 360 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [366 0 R 92 365 0 R 94 364 0 R 102 363 0 R 104 362 0 R 106 361 0 R 108 109] - /Pg 490 0 R + /S /LI + /P 356 0 R + /K [363 0 R 361 0 R] >> endobj 361 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 360 0 R - /K [107] - /Pg 490 0 R + /K [52 362 0 R 56] + /Pg 527 0 R >> endobj @@ -3641,39 +3652,38 @@ endobj << /Type /StructElem /S /Formula - /P 360 0 R - /K [105] - /Pg 490 0 R + /P 361 0 R + /K [53 54 55] + /Pg 527 0 R >> endobj 363 0 obj << /Type /StructElem - /S /Formula + /S /Lbl /P 360 0 R - /K [103] - /Pg 490 0 R + /K [51] + /Pg 527 0 R >> endobj 364 0 obj << /Type /StructElem - /S /Formula - /P 360 0 R - /K [95 96 97 98 99 100 101] - /Pg 490 0 R + /S /LI + /P 356 0 R + /K [367 0 R 365 0 R] >> endobj 365 0 obj << /Type /StructElem - /S /Formula - /P 360 0 R - /K [93] - /Pg 490 0 R + /S /LBody + /P 364 0 R + /K [46 366 0 R 50] + /Pg 527 0 R >> endobj @@ -3681,109 +3691,107 @@ endobj << /Type /StructElem /S /Formula - /P 360 0 R - /K [91] - /Pg 490 0 R + /P 365 0 R + /K [47 48 49] + /Pg 527 0 R >> endobj 367 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [369 0 R 86 368 0 R 90] - /Pg 490 0 R + /S /Lbl + /P 364 0 R + /K [45] + /Pg 527 0 R >> endobj 368 0 obj << /Type /StructElem - /S /Formula - /P 367 0 R - /K [87 88 89] - /Pg 490 0 R + /S /LI + /P 356 0 R + /K [371 0 R 369 0 R] >> endobj 369 0 obj << /Type /StructElem - /S /Formula - /P 367 0 R - /K [85] - /Pg 490 0 R + /S /LBody + /P 368 0 R + /K [40 370 0 R 44] + /Pg 527 0 R >> endobj 370 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [84] - /Pg 490 0 R + /S /Formula + /P 369 0 R + /K [41 42 43] + /Pg 527 0 R >> endobj 371 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [78 373 0 R 80 372 0 R 82 83] - /Pg 490 0 R + /S /Lbl + /P 368 0 R + /K [39] + /Pg 527 0 R >> endobj 372 0 obj << /Type /StructElem - /S /Formula - /P 371 0 R - /K [81] - /Pg 490 0 R + /S /LI + /P 356 0 R + /K [375 0 R 373 0 R] >> endobj 373 0 obj << /Type /StructElem - /S /Formula - /P 371 0 R - /K [79] - /Pg 490 0 R + /S /LBody + /P 372 0 R + /K [34 374 0 R 38] + /Pg 527 0 R >> endobj 374 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [39 384 0 R 41 383 0 R 43 382 0 R 45 46 381 0 R 48 380 0 R 50 379 0 R 52 53 54 378 0 R 62 377 0 R 64 65 376 0 R 67 375 0 R 77] - /Pg 490 0 R + /S /Formula + /P 373 0 R + /K [35 36 37] + /Pg 527 0 R >> endobj 375 0 obj << /Type /StructElem - /S /Formula - /P 374 0 R - /K [68 69 70 71 72 73 74 75 76] - /Pg 490 0 R + /S /Lbl + /P 372 0 R + /K [33] + /Pg 527 0 R >> endobj 376 0 obj << /Type /StructElem - /S /Formula - /P 374 0 R - /K [66] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [1 381 0 R 7 380 0 R 18 379 0 R 25 26 378 0 R 28 377 0 R 32] + /Pg 527 0 R >> endobj @@ -3791,9 +3799,9 @@ endobj << /Type /StructElem /S /Formula - /P 374 0 R - /K [63] - /Pg 490 0 R + /P 376 0 R + /K [29 30 31] + /Pg 527 0 R >> endobj @@ -3801,9 +3809,9 @@ endobj << /Type /StructElem /S /Formula - /P 374 0 R - /K [55 56 57 58 59 60 61] - /Pg 490 0 R + /P 376 0 R + /K [27] + /Pg 527 0 R >> endobj @@ -3811,9 +3819,9 @@ endobj << /Type /StructElem /S /Formula - /P 374 0 R - /K [51] - /Pg 490 0 R + /P 376 0 R + /K [19 20 21 22 23 24] + /Pg 527 0 R >> endobj @@ -3821,9 +3829,9 @@ endobj << /Type /StructElem /S /Formula - /P 374 0 R - /K [49] - /Pg 490 0 R + /P 376 0 R + /K [8 9 10 11 12 13 14 15 16 17] + /Pg 527 0 R >> endobj @@ -3831,29 +3839,30 @@ endobj << /Type /StructElem /S /Formula - /P 374 0 R - /K [47] - /Pg 490 0 R + /P 376 0 R + /K [2 3 4 5 6] + /Pg 527 0 R >> endobj 382 0 obj << /Type /StructElem - /S /Formula - /P 374 0 R - /K [44] - /Pg 490 0 R + /S /H3 + /P 54 0 R + /T (3: Funktion med ukendt forskrift) + /K [0] + /Pg 527 0 R >> endobj 383 0 obj << /Type /StructElem - /S /Formula - /P 374 0 R - /K [42] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [386 0 R 185 385 0 R 191 384 0 R 197] + /Pg 525 0 R >> endobj @@ -3861,19 +3870,19 @@ endobj << /Type /StructElem /S /Formula - /P 374 0 R - /K [40] - /Pg 490 0 R + /P 383 0 R + /K [192 193 194 195 196] + /Pg 525 0 R >> endobj 385 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [17 387 0 R 27 28 386 0 R 38] - /Pg 490 0 R + /S /Formula + /P 383 0 R + /K [186 187 188 189 190] + /Pg 525 0 R >> endobj @@ -3881,230 +3890,174 @@ endobj << /Type /StructElem /S /Formula - /P 385 0 R - /K [29 30 31 32 33 34 35 36 37] - /Pg 490 0 R + /P 383 0 R + /K [180 181 182 183 184] + /Pg 525 0 R >> endobj 387 0 obj << /Type /StructElem - /S /Formula - /P 385 0 R - /K [18 19 20 21 22 23 24 25 26] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [179] + /Pg 525 0 R >> endobj 388 0 obj << /Type /StructElem - /S /Table - /P 53 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [401 0 R 398 0 R 395 0 R 392 0 R 389 0 R] + /S /P + /P 54 0 R + /K [178] + /Pg 525 0 R >> endobj 389 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /K [391 0 R 390 0 R] + /S /P + /P 54 0 R + /K [173 390 0 R 177] + /Pg 525 0 R >> endobj 390 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 389 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [16] - /Pg 490 0 R + /K [174 175 176] + /Pg 525 0 R >> endobj 391 0 obj << /Type /StructElem - /S /TD - /P 389 0 R + /S /Formula + /P 54 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [15] - /Pg 490 0 R + /K [119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172] + /Pg 525 0 R >> endobj 392 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /K [394 0 R 393 0 R] + /S /P + /P 54 0 R + /K [111 393 0 R 118] + /Pg 525 0 R >> endobj 393 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 392 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [14] - /Pg 490 0 R + /K [112 113 114 115 116 117] + /Pg 525 0 R >> endobj 394 0 obj << /Type /StructElem - /S /TD - /P 392 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [13] - /Pg 490 0 R + /S /H3 + /P 54 0 R + /T (2: Ens funktionsforskrifter?) + /K [110] + /Pg 525 0 R >> endobj 395 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /K [397 0 R 396 0 R] + /S /P + /P 54 0 R + /K [401 0 R 92 400 0 R 94 399 0 R 102 398 0 R 104 397 0 R 106 396 0 R 108 109] + /Pg 525 0 R >> endobj 396 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 395 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [12] - /Pg 490 0 R + /K [107] + /Pg 525 0 R >> endobj 397 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 395 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [11] - /Pg 490 0 R + /K [105] + /Pg 525 0 R >> endobj 398 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /K [400 0 R 399 0 R] + /S /Formula + /P 395 0 R + /K [103] + /Pg 525 0 R >> endobj 399 0 obj << /Type /StructElem - /S /TD - /P 398 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [10] - /Pg 490 0 R + /S /Formula + /P 395 0 R + /K [95 96 97 98 99 100 101] + /Pg 525 0 R >> endobj 400 0 obj << /Type /StructElem - /S /TD - /P 398 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [9] - /Pg 490 0 R + /S /Formula + /P 395 0 R + /K [93] + /Pg 525 0 R >> endobj 401 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /K [404 0 R 402 0 R] + /S /Formula + /P 395 0 R + /K [91] + /Pg 525 0 R >> endobj 402 0 obj << /Type /StructElem - /S /TD - /P 401 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [403 0 R] + /S /P + /P 54 0 R + /K [404 0 R 86 403 0 R 90] + /Pg 525 0 R >> endobj @@ -4113,34 +4066,28 @@ endobj /Type /StructElem /S /Formula /P 402 0 R - /K [8] - /Pg 490 0 R + /K [87 88 89] + /Pg 525 0 R >> endobj 404 0 obj << /Type /StructElem - /S /TD - /P 401 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [405 0 R] + /S /Formula + /P 402 0 R + /K [85] + /Pg 525 0 R >> endobj 405 0 obj << /Type /StructElem - /S /Formula - /P 404 0 R - /K [7] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [84] + /Pg 525 0 R >> endobj @@ -4148,9 +4095,9 @@ endobj << /Type /StructElem /S /P - /P 53 0 R - /K [2 408 0 R 4 407 0 R 6] - /Pg 490 0 R + /P 54 0 R + /K [78 408 0 R 80 407 0 R 82 83] + /Pg 525 0 R >> endobj @@ -4159,8 +4106,8 @@ endobj /Type /StructElem /S /Formula /P 406 0 R - /K [5] - /Pg 490 0 R + /K [81] + /Pg 525 0 R >> endobj @@ -4169,166 +4116,583 @@ endobj /Type /StructElem /S /Formula /P 406 0 R - /K [3] - /Pg 490 0 R + /K [79] + /Pg 525 0 R >> endobj 409 0 obj << /Type /StructElem - /S /H3 - /P 53 0 R - /T (1: Funktion eller ej?) - /K [1] - /Pg 490 0 R + /S /P + /P 54 0 R + /K [39 419 0 R 41 418 0 R 43 417 0 R 45 46 416 0 R 48 415 0 R 50 414 0 R 52 53 54 413 0 R 62 412 0 R 64 65 411 0 R 67 410 0 R 77] + /Pg 525 0 R >> endobj 410 0 obj << /Type /StructElem - /S /H1 - /P 53 0 R - /T (Exercises) - /K [0] - /Pg 490 0 R + /S /Formula + /P 409 0 R + /K [68 69 70 71 72 73 74 75 76] + /Pg 525 0 R >> endobj 411 0 obj << /Type /StructElem - /S /P - /P 53 0 R - /K [8] - /Pg 488 0 R + /S /Formula + /P 409 0 R + /K [66] + /Pg 525 0 R >> endobj 412 0 obj << /Type /StructElem - /S /Div - /P 53 0 R - /K [416 0 R 413 0 R] + /S /Formula + /P 409 0 R + /K [63] + /Pg 525 0 R >> endobj 413 0 obj << /Type /StructElem - /S /Div - /P 412 0 R - /K [415 0 R 414 0 R] + /S /Formula + /P 409 0 R + /K [55 56 57 58 59 60 61] + /Pg 525 0 R >> endobj 414 0 obj << /Type /StructElem - /S /Span - /P 413 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [7] - /Pg 488 0 R + /S /Formula + /P 409 0 R + /K [51] + /Pg 525 0 R >> endobj 415 0 obj << /Type /StructElem - /S /Strong - /P 413 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 488 0 R + /S /Formula + /P 409 0 R + /K [49] + /Pg 525 0 R >> endobj 416 0 obj << /Type /StructElem - /S /Div - /P 412 0 R - /K [418 0 R 417 0 R] + /S /Formula + /P 409 0 R + /K [47] + /Pg 525 0 R >> endobj 417 0 obj << /Type /StructElem - /S /Span - /P 416 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 488 0 R + /S /Formula + /P 409 0 R + /K [44] + /Pg 525 0 R >> endobj 418 0 obj << /Type /StructElem - /S /Strong - /P 416 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [4] - /Pg 488 0 R + /S /Formula + /P 409 0 R + /K [42] + /Pg 525 0 R >> endobj 419 0 obj << /Type /StructElem - /S /Span - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [1 2 3] - /Pg 488 0 R + /S /Formula + /P 409 0 R + /K [40] + /Pg 525 0 R >> endobj 420 0 obj << /Type /StructElem - /S /Figure - /P 53 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 488 0 R + /S /P + /P 54 0 R + /K [17 422 0 R 27 28 421 0 R 38] + /Pg 525 0 R >> endobj 421 0 obj << - /Type /Font - /Subtype /Type0 - /BaseFont /IBOWEY+LiberationSans-Bold - /Encoding /Identity-H - /DescendantFonts [422 0 R] - /ToUnicode 425 0 R + /Type /StructElem + /S /Formula + /P 420 0 R + /K [29 30 31 32 33 34 35 36 37] + /Pg 525 0 R >> endobj 422 0 obj +<< + /Type /StructElem + /S /Formula + /P 420 0 R + /K [18 19 20 21 22 23 24 25 26] + /Pg 525 0 R +>> +endobj + +423 0 obj +<< + /Type /StructElem + /S /Table + /P 54 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [436 0 R 433 0 R 430 0 R 427 0 R 424 0 R] +>> +endobj + +424 0 obj +<< + /Type /StructElem + /S /TR + /P 423 0 R + /K [426 0 R 425 0 R] +>> +endobj + +425 0 obj +<< + /Type /StructElem + /S /TD + /P 424 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [16] + /Pg 525 0 R +>> +endobj + +426 0 obj +<< + /Type /StructElem + /S /TD + /P 424 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O 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[(ZEzI7bhzh3hfbTLv0diqxQ==) (ZEzI7bhzh3hfbTLv0diqxQ==)] + /Size 550 + /Root 549 0 R + /Info 547 0 R + /ID [(CCME3D1w08AmUzNRNduoaw==) (CCME3D1w08AmUzNRNduoaw==)] >> startxref -281426 +304688 %%EOF \ No newline at end of file diff --git a/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.typ b/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.typ index 97fc71f..e1e12e4 100644 --- a/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.typ +++ b/01002 - Matematik 1b/Funktioner 1/Funktioner1-opgaver.typ @@ -298,14 +298,49 @@ Hvilken vektor er længst? Hvilke vektorer er ortogonale på hinanden? Hvilke to ] #solution[ +Længder: +$ +norm(arrow(v)_1)=sqrt((-10)^2 + (-10)^2 + (-10)^2) = #calc.norm(-10,-10,-10)\ +norm(arrow(v)_2)=sqrt((-10)^2 + (-4)^2 + 14^2) = #calc.norm(-10,-4,14)\ +norm(arrow(v)_3)=sqrt((-10)^2 + (-8)^2 + (-12)^2) = #calc.norm(-10,-8,-12)\ +$ +$v_2$ er længst +Ortogonale ($v_x dot v_y = 0$): +$ + &= (-10) dot (-10) + (-10) dot (-4) + (-10) dot 14\ +&= 100 + 40 - 140 = 0\ + &= (-10) dot (-10) + (-10) dot (-8) + (-10) dot (-12)\ +&= 100 + 80 + 120 = 300\ + &= (-10) dot (-10) + (-4) dot (-8) + 14 dot (-12)\ +&= 100 + 32 - 168 = -36 +$ +$arrow(v)_1$ og $arrow(v)_2$ er ortogonale. + +$arrow(v)_1)$ og $arrow(v)_3)$ må være tættest på hinanden, da $arrow(v)_2$ har et positivt koordinat, mens de andre kun har negative. ] === 2: Partielle afledede af simpel skalar-funktion -Find de partielle afledte $p d v(f, x_1)$ og $p d v(f, x_2)$ for $f(x_1, x_2) = x_1^3 + 3 x_1 x_2 + x_2^3$. Bestem værdien af de partielle afledte i punktet $(x_1, x_2) = (1, 2)$. +Find de partielle afledte $(partial f)/(partial x_1)$ og $(partial f)/(partial x_2)$ for $f(x_1, x_2) = x_1^3 + 3 x_1 x_2 + x_2^3$. Bestem værdien af de partielle afledte i punktet $(x_1, x_2) = (1, 2)$. #solution[ +$(partial f)/(partial x_1)$: +$ +h(x_1)=x_1^3 + 3 x_1 c_1 + c_2, c_1=x_2, c_2 = x_2^3\ +h'(x)=3x_1^2+3c_1 + 0\ +(partial f)/(partial x_1) = 3x_1^2 + 3x_2 +$ +I punkt $(x_1, x_2) = (1, 2))$: $3 dot 1^2 + 3 dot 2 = 9$ + +$(partial f)/(partial x_2)$: +$ +g(x_2)=c_3 + 3 dot c_4 dot x_2 + x_2^3, quad c_3 = x_1^3, c_4 = x_1\ +g'(x_2) = 0 + 3 dot c_4 + 3x_2^2\ +(partial f)/(partial x_2) = 3x_1 + 3x_2^2 +$ +I punkt $(x_1, x_2) = (1, 2))$: $3 dot 1 + 3 dot 2^2 = 15$ + ] @@ -341,7 +376,14 @@ for $i = 1, 2, 3$. Sådanne funktioner kaldes kvadratiske former. Gang udtrykket for $q_1(x_1, x_2)$ ud. Først i hånden, så ved hjælp af Python. Gang også udtrykkene for $q_2(x_1, x_2)$ og $q_3(x_1, x_2)$ (i hånden eller Python) ud. #solution[ +$ +q_1(x_1,x_2) &= mat(x_1,x_2) dot mat(11,-12;-12,4) dot vec(x_1,x_2) + mat(-20,40) dot vec(x_1,x_2) -60\ +&= mat(x_1,x_2) dot vec(11 x_1 -12 x_2,4x_2-12x_1) -20x_1 + 40x_2 - 60\ +&= 11 x_1^2 - 12x_1 x_2 + 4x_2^2 - 12x_1 x_2 - 20 x_1 + 40x_2 -60\ +&= 11x_1^2 + 4x_2^2 - 24x_1x_2 - 20x_1 + 40x_2 - 60 +$ +Se Python fil for de andre q ] ==== Spørgsmål b @@ -349,7 +391,7 @@ Gang udtrykket for $q_1(x_1, x_2)$ ud. Først i hånden, så ved hjælp af Pytho Er den kvadratiske matrix $A$ i en kvadratisk form (som fx $bold(x)^T A bold(x)$) entydig givet? #solution[ - +Nej da $q_1(arrow(x))$ og $q_2(arrow(x))$ er ens men har forskellige $bold(A)$. Så forskellige $bold(A)$ kan godt give samme $q(arrow(x))$ ] ==== Spørgsmål c diff --git a/01002 - Matematik 1b/Funktioner 1/Funktioner1.ipynb b/01002 - Matematik 1b/Funktioner 1/Funktioner1.ipynb index 6f4ec79..9536fe9 100644 --- a/01002 - Matematik 1b/Funktioner 1/Funktioner1.ipynb +++ b/01002 - Matematik 1b/Funktioner 1/Funktioner1.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "d2493461", "metadata": {}, "outputs": [ @@ -24,6 +24,80 @@ "print(sympy.Max(h,0))\n", "print(relu)" ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "de59fd98", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}x_{1} \\left(11 x_{1} - 12 x_{2}\\right) - 20 x_{1} + x_{2} \\left(- 12 x_{1} + 4 x_{2}\\right) + 40 x_{2} - 60\\end{matrix}\\right]$" + ], + "text/plain": [ + "Matrix([[x_1*(11*x_1 - 12*x_2) - 20*x_1 + x_2*(-12*x_1 + 4*x_2) + 40*x_2 - 60]])" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}x_{1} \\left(11 x_{1} - 24 x_{2}\\right) - 20 x_{1} + 4 x_{2}^{2} + 40 x_{2} - 60\\end{matrix}\\right]$" + ], + "text/plain": [ + "Matrix([[x_1*(11*x_1 - 24*x_2) - 20*x_1 + 4*x_2**2 + 40*x_2 - 60]])" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}x_{1} \\left(14.6 x_{1} - 7.2 x_{2}\\right) - 44 x_{1} + x_{2} \\left(- 7.2 x_{1} + 10.4 x_{2}\\right) + 8 x_{2} - 60\\end{matrix}\\right]$" + ], + "text/plain": [ + "Matrix([[x_1*(14.6*x_1 - 7.2*x_2) - 44*x_1 + x_2*(-7.2*x_1 + 10.4*x_2) + 8*x_2 - 60]])" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import sympy as sp\n", + "import numpy\n", + "\n", + "x_1, x_2 = sp.symbols('x_1, x_2')\n", + "\n", + "A_1 = sp.Matrix([[11,-12],[-12,4]])\n", + "A_2 = sp.Matrix([[11,0],[-24,4]])\n", + "A_3 = sp.Matrix([[73/5,-36/5],[-36/5,52/5]])\n", + "\n", + "b_1 = sp.Matrix([-20,40])\n", + "b_2 = b_1\n", + "b_3 = sp.Matrix([-44,8])\n", + "\n", + "x = sp.Matrix([x_1,x_2])\n", + "\n", + "c = sp.Matrix([-60])\n", + "\n", + "q_1 = x.T * A_1 * x + b_1.T * x + c\n", + "\n", + "q_2 = x.T * A_2 * x + b_2.T * x + c\n", + "\n", + "q_3 = x.T * A_3 * x + b_3.T * x + c\n", + "\n", + "display(q_1)\n", + "\n", + "display(q_2)\n", + "\n", + "display(q_3)\n" + ] } ], "metadata": { diff --git a/01002 - Matematik 1b/Funktioner 1/Funktioner1.pdf b/01002 - Matematik 1b/Funktioner 1/Funktioner1.pdf index e5c4711..0177eb0 100644 --- a/01002 - Matematik 1b/Funktioner 1/Funktioner1.pdf +++ b/01002 - Matematik 1b/Funktioner 1/Funktioner1.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 6 - /Kids [195 0 R 197 0 R 199 0 R 201 0 R 203 0 R 205 0 R] + /Count 9 + /Kids [265 0 R 267 0 R 269 0 R 271 0 R 273 0 R 275 0 R 277 0 R 279 0 R 281 0 R] >> endobj @@ -13,8 +13,8 @@ endobj << /Type /Outlines /First 3 0 R - /Last 9 0 R - /Count 3 + /Last 14 0 R + /Count 7 >> endobj @@ -23,7 +23,7 @@ endobj /Parent 2 0 R /Next 4 0 R /Title (Funktioner) - /Dest 188 0 R + /Dest 253 0 R >> endobj @@ -36,7 +36,7 @@ endobj /Last 8 0 R /Count -3 /Title (Vektorfunktioner af flere variabler) - /Dest 193 0 R + /Dest 258 0 R >> endobj @@ -45,7 +45,7 @@ endobj /Parent 4 0 R /Next 6 0 R /Title (Koordinatfunktioner) - /Dest 189 0 R + /Dest 254 0 R >> endobj @@ -58,7 +58,7 @@ endobj /Last 7 0 R /Count -1 /Title (Visualiseringer af funktioner (1.4 i bogen)) - /Dest 191 0 R + /Dest 256 0 R >> endobj @@ -66,7 +66,7 @@ endobj << /Parent 6 0 R /Title (Niveaukurver) - /Dest 190 0 R + /Dest 255 0 R >> endobj @@ -75,20 +75,71 @@ endobj /Parent 4 0 R /Prev 6 0 R /Title - /Dest 192 0 R + /Dest 257 0 R >> endobj 9 0 obj << /Parent 2 0 R + /Next 11 0 R /Prev 4 0 R + /First 10 0 R + /Last 10 0 R + /Count -1 /Title (Kontinuitet) - /Dest 194 0 R + /Dest 260 0 R >> endobj 10 0 obj +<< + /Parent 9 0 R + /Title (Kontinuitet af vektorfunktioner) + /Dest 259 0 R +>> +endobj + +11 0 obj +<< + /Parent 2 0 R + /Next 12 0 R + /Prev 9 0 R + /Title (Ortogonale vektor) + /Dest 261 0 R +>> +endobj + +12 0 obj +<< + /Parent 2 0 R + /Next 13 0 R + /Prev 11 0 R + /Title + /Dest 262 0 R +>> +endobj + +13 0 obj +<< + /Parent 2 0 R + /Next 14 0 R + /Prev 12 0 R + /Title (Kvadratiske former) + /Dest 263 0 R +>> +endobj + +14 0 obj +<< + /Parent 2 0 R + /Prev 13 0 R + /Title (Delvis afledte) + /Dest 264 0 R +>> +endobj + +15 0 obj << /Type /StructTreeRoot /RoleMap << @@ -98,142 +149,70 @@ endobj /Strong /Span /Em /Span >> - /K [17 0 R] + /K [25 0 R] /ParentTree << - /Nums [0 11 0 R 1 12 0 R 2 13 0 R 3 14 0 R 4 15 0 R 5 16 0 R] + /Nums [0 16 0 R 1 17 0 R 2 18 0 R 3 19 0 R 4 20 0 R 5 21 0 R 6 22 0 R 7 23 0 R 8 24 0 R] >> - /ParentTreeNextKey 6 + /ParentTreeNextKey 9 >> endobj -11 0 obj -[159 0 R 158 0 R 158 0 R 158 0 R 157 0 R 156 0 R 154 0 R 153 0 R 150 0 R] -endobj - -12 0 obj -[149 0 R 148 0 R 147 0 R 146 0 R 142 0 R 145 0 R 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23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 21 0 R 22 0 R 22 0 R 22 0 R 22 0 R 22 0 R 22 0 R 22 0 R 22 0 R 22 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 18 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R] +[224 0 R 223 0 R 223 0 R 223 0 R 222 0 R 221 0 R 219 0 R 218 0 R 215 0 R] endobj 17 0 obj -<< - /Type /StructElem - /S /Document - /P 10 0 R - /K [159 0 R 158 0 R 151 0 R 150 0 R 149 0 R 148 0 R 147 0 R 146 0 R 142 0 R 138 0 R 136 0 R 133 0 R 130 0 R 129 0 R 127 0 R 126 0 R 124 0 R 123 0 R 121 0 R 119 0 R 117 0 R 116 0 R 115 0 R 113 0 R 111 0 R 110 0 R 109 0 R 107 0 R 105 0 R 103 0 R 101 0 R 100 0 R 98 0 R 97 0 R 95 0 R 94 0 R 93 0 R 92 0 R 91 0 R 89 0 R 87 0 R 86 0 R 84 0 R 82 0 R 81 0 R 78 0 R 76 0 R 75 0 R 73 0 R 72 0 R 71 0 R 70 0 R 69 0 R 65 0 R 61 0 R 60 0 R 57 0 R 56 0 R 54 0 R 53 0 R 51 0 R 50 0 R 49 0 R 46 0 R 45 0 R 44 0 R 43 0 R 39 0 R 37 0 R 36 0 R 35 0 R 34 0 R 33 0 R 32 0 R 31 0 R 30 0 R 27 0 R 26 0 R 24 0 R 23 0 R 21 0 R 20 0 R 18 0 R] ->> +[214 0 R 213 0 R 212 0 R 211 0 R 207 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 207 0 R 209 0 R 209 0 R 209 0 R 209 0 R 209 0 R 209 0 R 209 0 R 209 0 R 209 0 R 207 0 R 208 0 R 207 0 R 206 0 R 206 0 R 206 0 R 206 0 R 206 0 R 206 0 R 203 0 R 205 0 R 205 0 R 205 0 R 205 0 R 205 0 R 205 0 R 205 0 R 203 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 204 0 R 203 0 R 203 0 R 202 0 R 202 0 R 202 0 R 202 0 R 202 0 R 202 0 R 202 0 R 202 0 R 198 0 R 200 0 R 200 0 R 200 0 R 200 0 R 198 0 R 199 0 R 199 0 R 195 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 195 0 R 196 0 R 196 0 R 194 0 R 192 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 186 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 184 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 182 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R] endobj 18 0 obj -<< - /Type /StructElem - /S /P - /P 17 0 R - /K [154 19 0 R] - /Pg 205 0 R ->> +[181 0 R 180 0 R 178 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 174 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 170 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 168 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 169 0 R 166 0 R 167 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 165 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 162 0 R 160 0 R 161 0 R 161 0 R 161 0 R 161 0 R 161 0 R 161 0 R 161 0 R 161 0 R 161 0 R 161 0 R 159 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 158 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R 157 0 R] endobj 19 0 obj -<< - /Type /StructElem - /S /Formula - /P 18 0 R - /K [155 156 157 158 159 160 161 162 163 164 165] - /Pg 205 0 R ->> +[156 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 155 0 R 152 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 151 0 R 149 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 150 0 R 149 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 148 0 R 146 0 R 145 0 R 143 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 144 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 142 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 139 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 137 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 135 0 R 134 0 R 130 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 130 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 130 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 130 0 R 126 0 R 129 0 R 129 0 R 129 0 R 126 0 R 128 0 R 128 0 R 128 0 R 126 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 122 0 R 124 0 R 122 0 R 123 0 R 123 0 R 123 0 R 123 0 R 121 0 R 119 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R] endobj 20 0 obj -<< - /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153] - /Pg 205 0 R ->> +[118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 116 0 R 117 0 R 116 0 R 115 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 111 0 R 113 0 R 111 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 111 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 109 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 107 0 R 104 0 R 106 0 R 106 0 R 106 0 R 106 0 R 104 0 R 105 0 R 105 0 R 105 0 R 105 0 R 104 0 R 102 0 R 103 0 R 103 0 R 103 0 R 102 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 100 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 97 0 R 96 0 R] endobj 21 0 obj -<< - /Type /StructElem - /S /P - /P 17 0 R - /K [116 22 0 R] - /Pg 205 0 R ->> +[95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 92 0 R 94 0 R 92 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 92 0 R 91 0 R 89 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 89 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 88 0 R 86 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 85 0 R 83 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 84 0 R 82 0 R 81 0 R 78 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 78 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 79 0 R 78 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 76 0 R 75 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 74 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 71 0 R 72 0 R 72 0 R 72 0 R 72 0 R 72 0 R 71 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R] endobj 22 0 obj -<< - /Type /StructElem - /S /Formula - /P 21 0 R - /K [117 118 119 120 121 122 123 124 125] - /Pg 205 0 R ->> +[69 0 R 65 0 R 68 0 R 68 0 R 68 0 R 65 0 R 67 0 R 65 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 66 0 R 65 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 64 0 R 62 0 R 63 0 R 63 0 R 63 0 R 62 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 61 0 R 60 0 R 56 0 R 59 0 R 59 0 R 56 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 56 0 R 57 0 R 57 0 R 57 0 R 56 0 R 55 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 53 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 52 0 R 50 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R] endobj 23 0 obj -<< - /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115] - /Pg 205 0 R ->> +[49 0 R 48 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 46 0 R 45 0 R 45 0 R 45 0 R 44 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 41 0 R 40 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 38 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 37 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 36 0 R 34 0 R 35 0 R 35 0 R 34 0 R] endobj 24 0 obj -<< - /Type /StructElem - /S /P - /P 17 0 R - /K [58 25 0 R 67] - /Pg 205 0 R ->> +[33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 32 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 30 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 28 0 R 27 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R] endobj 25 0 obj << /Type /StructElem - /S /Formula - /P 24 0 R - /K [59 60 61 62 63 64 65 66] - /Pg 205 0 R + /S /Document + /P 15 0 R + /K [224 0 R 223 0 R 216 0 R 215 0 R 214 0 R 213 0 R 212 0 R 211 0 R 207 0 R 203 0 R 201 0 R 198 0 R 195 0 R 194 0 R 192 0 R 191 0 R 189 0 R 188 0 R 186 0 R 184 0 R 182 0 R 181 0 R 180 0 R 178 0 R 176 0 R 175 0 R 174 0 R 172 0 R 170 0 R 168 0 R 166 0 R 165 0 R 163 0 R 162 0 R 160 0 R 159 0 R 158 0 R 157 0 R 156 0 R 154 0 R 152 0 R 151 0 R 149 0 R 147 0 R 146 0 R 143 0 R 141 0 R 140 0 R 138 0 R 137 0 R 136 0 R 135 0 R 134 0 R 130 0 R 126 0 R 125 0 R 122 0 R 121 0 R 119 0 R 118 0 R 116 0 R 115 0 R 114 0 R 111 0 R 110 0 R 109 0 R 108 0 R 104 0 R 102 0 R 101 0 R 100 0 R 99 0 R 98 0 R 97 0 R 96 0 R 95 0 R 92 0 R 91 0 R 89 0 R 88 0 R 86 0 R 85 0 R 83 0 R 82 0 R 81 0 R 78 0 R 77 0 R 76 0 R 75 0 R 74 0 R 71 0 R 70 0 R 69 0 R 65 0 R 64 0 R 62 0 R 61 0 R 60 0 R 56 0 R 55 0 R 54 0 R 53 0 R 52 0 R 50 0 R 49 0 R 48 0 R 47 0 R 46 0 R 44 0 R 43 0 R 42 0 R 41 0 R 40 0 R 39 0 R 38 0 R 37 0 R 36 0 R 34 0 R 33 0 R 32 0 R 31 0 R 30 0 R 29 0 R 28 0 R 27 0 R 26 0 R] >> endobj 26 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [57] - /Pg 205 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125] + /Pg 281 0 R >> endobj @@ -241,19 +220,19 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [46 29 0 R 48 28 0 R 56] - /Pg 205 0 R + /P 25 0 R + /K [106] + /Pg 281 0 R >> endobj 28 0 obj << /Type /StructElem - /S /Formula - /P 27 0 R - /K [49 50 51 52 53 54 55] - /Pg 205 0 R + /S /P + /P 25 0 R + /K [105] + /Pg 281 0 R >> endobj @@ -261,33 +240,37 @@ endobj << /Type /StructElem /S /Formula - /P 27 0 R - /K [47] - /Pg 205 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104] + /Pg 281 0 R >> endobj 30 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45] - /Pg 205 0 R + /S /P + /P 25 0 R + /K [65] + /Pg 281 0 R >> endobj 31 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [244] - /Pg 203 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64] + /Pg 281 0 R >> endobj @@ -295,9 +278,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [243] - /Pg 203 0 R + /P 25 0 R + /K [47] + /Pg 281 0 R >> endobj @@ -305,37 +288,33 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242] - /Pg 203 0 R + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46] + /Pg 281 0 R >> endobj 34 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220] - /Pg 203 0 R + /S /P + /P 25 0 R + /K [267 35 0 R 270] + /Pg 279 0 R >> endobj 35 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [203] - /Pg 203 0 R + /S /Formula + /P 34 0 R + /K [268 269] + /Pg 279 0 R >> endobj @@ -343,63 +322,72 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202] - /Pg 203 0 R + /K [249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266] + /Pg 279 0 R >> endobj 37 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [156 38 0 R 160] - /Pg 203 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248] + /Pg 279 0 R >> endobj 38 0 obj << /Type /StructElem - /S /Formula - /P 37 0 R - /K [157 158 159] - /Pg 203 0 R + /S /P + /P 25 0 R + /K [198] + /Pg 279 0 R >> endobj 39 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [42 0 R 145 41 0 R 150 40 0 R 155] - /Pg 203 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197] + /Pg 279 0 R >> endobj 40 0 obj << /Type /StructElem - /S /Formula - /P 39 0 R - /K [151 152 153 154] - /Pg 203 0 R + /S /P + /P 25 0 R + /K [169] + /Pg 279 0 R >> endobj 41 0 obj << /Type /StructElem - /S /Formula - /P 39 0 R - /K [146 147 148 149] - /Pg 203 0 R + /S /H1 + /P 25 0 R + /T (Delvis afledte) + /K [168] + /Pg 279 0 R >> endobj @@ -407,9 +395,13 @@ endobj << /Type /StructElem /S /Formula - /P 39 0 R - /K [144] - /Pg 203 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167] + /Pg 279 0 R >> endobj @@ -417,13 +409,13 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143] - /Pg 203 0 R + /K [51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83] + /Pg 279 0 R >> endobj @@ -431,9 +423,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [122] - /Pg 203 0 R + /P 25 0 R + /K [45 0 R 50] + /Pg 279 0 R >> endobj @@ -441,13 +433,9 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121] - /Pg 203 0 R + /P 44 0 R + /K [47 48 49] + /Pg 279 0 R >> endobj @@ -455,9 +443,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [66 48 0 R 68 47 0 R 75] - /Pg 203 0 R + /P 25 0 R + /K [46] + /Pg 279 0 R >> endobj @@ -465,33 +453,34 @@ endobj << /Type /StructElem /S /Formula - /P 46 0 R - /K [69 70 71 72 73 74] - /Pg 203 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45] + /Pg 279 0 R >> endobj 48 0 obj << /Type /StructElem - /S /Formula - /P 46 0 R - /K [67] - /Pg 203 0 R + /S /P + /P 25 0 R + /K [1] + /Pg 279 0 R >> endobj 49 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65] - /Pg 203 0 R + /S /H1 + /P 25 0 R + /T (Kvadratiske former) + /K [0] + /Pg 279 0 R >> endobj @@ -499,19 +488,19 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [19] - /Pg 203 0 R + /P 25 0 R + /K [205 51 0 R] + /Pg 277 0 R >> endobj 51 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [16 52 0 R 18] - /Pg 203 0 R + /S /Formula + /P 50 0 R + /K [206 207 208 209 210 211] + /Pg 277 0 R >> endobj @@ -519,43 +508,48 @@ endobj << /Type /StructElem /S /Formula - /P 51 0 R - /K [17] - /Pg 203 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204] + /Pg 277 0 R >> endobj 53 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15] - /Pg 203 0 R + /S /H1 + /P 25 0 R + /T + /K [167] + /Pg 277 0 R >> endobj 54 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [326 55 0 R] - /Pg 201 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166] + /Pg 277 0 R >> endobj 55 0 obj << /Type /StructElem - /S /Formula - /P 54 0 R - /K [327 328 329 330 331] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [130] + /Pg 277 0 R >> endobj @@ -563,19 +557,19 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [325] - /Pg 201 0 R + /P 25 0 R + /K [101 59 0 R 104 58 0 R 125 57 0 R 129] + /Pg 277 0 R >> endobj 57 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [318 59 0 R 320 58 0 R] - /Pg 201 0 R + /S /Formula + /P 56 0 R + /K [126 127 128] + /Pg 277 0 R >> endobj @@ -583,9 +577,9 @@ endobj << /Type /StructElem /S /Formula - /P 57 0 R - /K [321 322 323 324] - /Pg 201 0 R + /P 56 0 R + /K [105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124] + /Pg 277 0 R >> endobj @@ -593,43 +587,43 @@ endobj << /Type /StructElem /S /Formula - /P 57 0 R - /K [319] - /Pg 201 0 R + /P 56 0 R + /K [102 103] + /Pg 277 0 R >> endobj 60 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [100] + /Pg 277 0 R >> endobj 61 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [253 64 0 R 257 63 0 R 261 62 0 R] - /Pg 201 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99] + /Pg 277 0 R >> endobj 62 0 obj << /Type /StructElem - /S /Formula - /P 61 0 R - /K [262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [51 63 0 R 55] + /Pg 277 0 R >> endobj @@ -637,9 +631,9 @@ endobj << /Type /StructElem /S /Formula - /P 61 0 R - /K [258 259 260] - /Pg 201 0 R + /P 62 0 R + /K [52 53 54] + /Pg 277 0 R >> endobj @@ -647,9 +641,13 @@ endobj << /Type /StructElem /S /Formula - /P 61 0 R - /K [254 255 256] - /Pg 201 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50] + /Pg 277 0 R >> endobj @@ -657,9 +655,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [210 68 0 R 226 67 0 R 236 66 0 R 252] - /Pg 201 0 R + /P 25 0 R + /K [1 68 0 R 5 67 0 R 7 66 0 R 16] + /Pg 277 0 R >> endobj @@ -668,8 +666,8 @@ endobj /Type /StructElem /S /Formula /P 65 0 R - /K [237 238 239 240 241 242 243 244 245 246 247 248 249 250 251] - /Pg 201 0 R + /K [8 9 10 11 12 13 14 15] + /Pg 277 0 R >> endobj @@ -678,8 +676,8 @@ endobj /Type /StructElem /S /Formula /P 65 0 R - /K [227 228 229 230 231 232 233 234 235] - /Pg 201 0 R + /K [6] + /Pg 277 0 R >> endobj @@ -688,8 +686,8 @@ endobj /Type /StructElem /S /Formula /P 65 0 R - /K [211 212 213 214 215 216 217 218 219 220 221 222 223 224 225] - /Pg 201 0 R + /K [2 3 4] + /Pg 277 0 R >> endobj @@ -697,34 +695,33 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [209] - /Pg 201 0 R + /P 25 0 R + /K [0] + /Pg 277 0 R >> endobj 70 0 obj << /Type /StructElem - /S /H1 - /P 17 0 R - /T (Kontinuitet) - /K [208] - /Pg 201 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [265 266 267 268 269 270 271 272] + /Pg 275 0 R >> endobj 71 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [73 0 R 258 72 0 R 264] + /Pg 275 0 R >> endobj @@ -732,55 +729,54 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152] - /Pg 201 0 R + /P 71 0 R + /K [259 260 261 262 263] + /Pg 275 0 R >> endobj 73 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [74 0 R] + /S /Formula + /P 71 0 R + /K [253 254 255 256 257] + /Pg 275 0 R >> endobj 74 0 obj << /Type /StructElem - /S /Strong - /P 73 0 R - /K [112] - /Pg 201 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252] + /Pg 275 0 R >> endobj 75 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [227] + /Pg 275 0 R >> endobj 76 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [77 0 R] + /S /H1 + /P 25 0 R + /T (Ortogonale vektor) + /K [226] + /Pg 275 0 R >> endobj @@ -788,9 +784,13 @@ endobj << /Type /StructElem /S /Formula - /P 76 0 R - /K [76 77 78 79 80 81 82 83 84 85] - /Pg 201 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225] + /Pg 275 0 R >> endobj @@ -798,9 +798,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [80 0 R 60 79 0 R] - /Pg 201 0 R + /P 25 0 R + /K [168 80 0 R 184 79 0 R 194] + /Pg 275 0 R >> endobj @@ -809,58 +809,59 @@ endobj /Type /StructElem /S /Formula /P 78 0 R - /K [61 62 63 64 65 66 67 68 69 70 71 72 73 74 75] - /Pg 201 0 R + /K [185 186 187 188 189 190 191 192 193] + /Pg 275 0 R >> endobj 80 0 obj << /Type /StructElem - /S /Strong + /S /Formula /P 78 0 R - /K [59] - /Pg 201 0 R + /K [169 170 171 172 173 174 175 176 177 178 179 180 181 182 183] + /Pg 275 0 R >> endobj 81 0 obj << /Type /StructElem - /S /H2 - /P 17 0 R - /T - /K [58] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [167] + /Pg 275 0 R >> endobj 82 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [83 0 R] + /S /H2 + /P 25 0 R + /T (Kontinuitet af vektorfunktioner) + /K [166] + /Pg 275 0 R >> endobj 83 0 obj << /Type /StructElem - /S /Formula - /P 82 0 R - /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56 57] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [154 84 0 R] + /Pg 275 0 R >> endobj 84 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [35 85 0 R 42] - /Pg 201 0 R + /S /Formula + /P 83 0 R + /K [155 156 157 158 159 160 161 162 163 164 165] + /Pg 275 0 R >> endobj @@ -868,30 +869,33 @@ endobj << /Type /StructElem /S /Formula - /P 84 0 R - /K [36 37 38 39 40 41] - /Pg 201 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153] + /Pg 275 0 R >> endobj 86 0 obj << /Type /StructElem - /S /H3 - /P 17 0 R - /T (Niveaukurver) - /K [34] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [116 87 0 R] + /Pg 275 0 R >> endobj 87 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [28 88 0 R] - /Pg 201 0 R + /S /Formula + /P 86 0 R + /K [117 118 119 120 121 122 123 124 125] + /Pg 275 0 R >> endobj @@ -899,9 +903,13 @@ endobj << /Type /StructElem /S /Formula - /P 87 0 R - /K [29 30 31 32 33] - /Pg 201 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115] + /Pg 275 0 R >> endobj @@ -909,8 +917,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [90 0 R] + /P 25 0 R + /K [58 90 0 R 67] + /Pg 275 0 R >> endobj @@ -919,33 +928,28 @@ endobj /Type /StructElem /S /Formula /P 89 0 R - /K [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27] - /Pg 201 0 R + /K [59 60 61 62 63 64 65 66] + /Pg 275 0 R >> endobj 91 0 obj << /Type /StructElem - /S /H2 - /P 17 0 R - /T (Visualiseringer af funktioner (1.4 i bogen)) - /K [0] - /Pg 201 0 R + /S /P + /P 25 0 R + /K [57] + /Pg 275 0 R >> endobj 92 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [46 94 0 R 48 93 0 R 56] + /Pg 275 0 R >> endobj @@ -953,66 +957,67 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250] - /Pg 199 0 R + /P 92 0 R + /K [49 50 51 52 53 54 55] + /Pg 275 0 R >> endobj 94 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [221] - /Pg 199 0 R + /S /Formula + /P 92 0 R + /K [47] + /Pg 275 0 R >> endobj 95 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [210 96 0 R] - /Pg 199 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45] + /Pg 275 0 R >> endobj 96 0 obj << /Type /StructElem - /S /Formula - /P 95 0 R - /K [211 212 213 214 215 216 217 218 219 220] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [244] + /Pg 273 0 R >> endobj 97 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [243] + /Pg 273 0 R >> endobj 98 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [99 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242] + /Pg 273 0 R >> endobj @@ -1020,73 +1025,77 @@ endobj << /Type /StructElem /S /Formula - /P 98 0 R - /K [167 168 169 170 171 172] - /Pg 199 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220] + /Pg 273 0 R >> endobj 100 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [203] + /Pg 273 0 R >> endobj 101 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [139 102 0 R] - /Pg 199 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202] + /Pg 273 0 R >> endobj 102 0 obj << /Type /StructElem - /S /Formula - /P 101 0 R - /K [140] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [156 103 0 R 160] + /Pg 273 0 R >> endobj 103 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [127 104 0 R] - /Pg 199 0 R + /S /Formula + /P 102 0 R + /K [157 158 159] + /Pg 273 0 R >> endobj 104 0 obj << /Type /StructElem - /S /Formula - /P 103 0 R - /K [128 129 130 131 132 133 134 135 136 137 138] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [107 0 R 145 106 0 R 150 105 0 R 155] + /Pg 273 0 R >> endobj 105 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [117 106 0 R] - /Pg 199 0 R + /S /Formula + /P 104 0 R + /K [151 152 153 154] + /Pg 273 0 R >> endobj @@ -1094,18 +1103,19 @@ endobj << /Type /StructElem /S /Formula - /P 105 0 R - /K [118 119 120 121 122 123 124 125 126] - /Pg 199 0 R + /P 104 0 R + /K [146 147 148 149] + /Pg 273 0 R >> endobj 107 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [108 0 R] + /S /Formula + /P 104 0 R + /K [144] + /Pg 273 0 R >> endobj @@ -1113,9 +1123,13 @@ endobj << /Type /StructElem /S /Formula - /P 107 0 R - /K [91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116] - /Pg 199 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143] + /Pg 273 0 R >> endobj @@ -1123,9 +1137,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [90] - /Pg 199 0 R + /P 25 0 R + /K [122] + /Pg 273 0 R >> endobj @@ -1133,13 +1147,13 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89] - /Pg 199 0 R + /K [76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121] + /Pg 273 0 R >> endobj @@ -1147,8 +1161,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [112 0 R] + /P 25 0 R + /K [66 113 0 R 68 112 0 R 75] + /Pg 273 0 R >> endobj @@ -1157,18 +1172,18 @@ endobj /Type /StructElem /S /Formula /P 111 0 R - /K [33 34 35 36 37 38 39 40 41 42 43 44 45] - /Pg 199 0 R + /K [69 70 71 72 73 74] + /Pg 273 0 R >> endobj 113 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [2 114 0 R] - /Pg 199 0 R + /S /Formula + /P 111 0 R + /K [67] + /Pg 273 0 R >> endobj @@ -1176,9 +1191,13 @@ endobj << /Type /StructElem /S /Formula - /P 113 0 R - /K [3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32] - /Pg 199 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65] + /Pg 273 0 R >> endobj @@ -1186,30 +1205,29 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [1] - /Pg 199 0 R + /P 25 0 R + /K [19] + /Pg 273 0 R >> endobj 116 0 obj << /Type /StructElem - /S /H2 - /P 17 0 R - /T (Koordinatfunktioner) - /K [0] - /Pg 199 0 R + /S /P + /P 25 0 R + /K [16 117 0 R 18] + /Pg 273 0 R >> endobj 117 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [227 118 0 R] - /Pg 197 0 R + /S /Formula + /P 116 0 R + /K [17] + /Pg 273 0 R >> endobj @@ -1217,9 +1235,13 @@ endobj << /Type /StructElem /S /Formula - /P 117 0 R - /K [228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271] - /Pg 197 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15] + /Pg 273 0 R >> endobj @@ -1227,9 +1249,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [205 120 0 R] - /Pg 197 0 R + /P 25 0 R + /K [326 120 0 R] + /Pg 271 0 R >> endobj @@ -1238,8 +1260,8 @@ endobj /Type /StructElem /S /Formula /P 119 0 R - /K [206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226] - /Pg 197 0 R + /K [327 328 329 330 331] + /Pg 271 0 R >> endobj @@ -1247,19 +1269,19 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [188 122 0 R] - /Pg 197 0 R + /P 25 0 R + /K [325] + /Pg 271 0 R >> endobj 122 0 obj << /Type /StructElem - /S /Formula - /P 121 0 R - /K [189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [318 124 0 R 320 123 0 R] + /Pg 271 0 R >> endobj @@ -1267,22 +1289,19 @@ endobj << /Type /StructElem /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187] - /Pg 197 0 R + /P 122 0 R + /K [321 322 323 324] + /Pg 271 0 R >> endobj 124 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [125 0 R] + /S /Formula + /P 122 0 R + /K [319] + /Pg 271 0 R >> endobj @@ -1290,33 +1309,33 @@ endobj << /Type /StructElem /S /Formula - /P 124 0 R - /K [131 132 133 134 135 136 137 138] - /Pg 197 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317] + /Pg 271 0 R >> endobj 126 0 obj << /Type /StructElem - /S /Formula - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [253 129 0 R 257 128 0 R 261 127 0 R] + /Pg 271 0 R >> endobj 127 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [92 128 0 R] - /Pg 197 0 R + /S /Formula + /P 126 0 R + /K [262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284] + /Pg 271 0 R >> endobj @@ -1324,19 +1343,19 @@ endobj << /Type /StructElem /S /Formula - /P 127 0 R - /K [93 94 95 96 97 98 99 100 101 102 103 104 105 106] - /Pg 197 0 R + /P 126 0 R + /K [258 259 260] + /Pg 271 0 R >> endobj 129 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [91] - /Pg 197 0 R + /S /Formula + /P 126 0 R + /K [254 255 256] + /Pg 271 0 R >> endobj @@ -1344,9 +1363,9 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [80 132 0 R 88 131 0 R] - /Pg 197 0 R + /P 25 0 R + /K [210 133 0 R 226 132 0 R 236 131 0 R 252] + /Pg 271 0 R >> endobj @@ -1355,8 +1374,8 @@ endobj /Type /StructElem /S /Formula /P 130 0 R - /K [89 90] - /Pg 197 0 R + /K [237 238 239 240 241 242 243 244 245 246 247 248 249 250 251] + /Pg 271 0 R >> endobj @@ -1365,47 +1384,53 @@ endobj /Type /StructElem /S /Formula /P 130 0 R - /K [81 82 83 84 85 86 87] - /Pg 197 0 R + /K [227 228 229 230 231 232 233 234 235] + /Pg 271 0 R >> endobj 133 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [72 135 0 R 77 134 0 R] - /Pg 197 0 R + /S /Formula + /P 130 0 R + /K [211 212 213 214 215 216 217 218 219 220 221 222 223 224 225] + /Pg 271 0 R >> endobj 134 0 obj << /Type /StructElem - /S /Formula - /P 133 0 R - /K [78 79] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [209] + /Pg 271 0 R >> endobj 135 0 obj << /Type /StructElem - /S /Formula - /P 133 0 R - /K [73 74 75 76] - /Pg 197 0 R + /S /H1 + /P 25 0 R + /T (Kontinuitet) + /K [208] + /Pg 271 0 R >> endobj 136 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [137 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207] + /Pg 271 0 R >> endobj @@ -1413,9 +1438,13 @@ endobj << /Type /StructElem /S /Formula - /P 136 0 R - /K [64 65 66 67 68 69 70 71] - /Pg 197 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152] + /Pg 271 0 R >> endobj @@ -1423,19 +1452,18 @@ endobj << /Type /StructElem /S /P - /P 17 0 R - /K [141 0 R 30 140 0 R 38 139 0 R 62 63] - /Pg 197 0 R + /P 25 0 R + /K [139 0 R] >> endobj 139 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 138 0 R - /K [39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61] - /Pg 197 0 R + /K [112] + /Pg 271 0 R >> endobj @@ -1443,39 +1471,42 @@ endobj << /Type /StructElem /S /Formula - /P 138 0 R - /K [31 32 33 34 35 36 37] - /Pg 197 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111] + /Pg 271 0 R >> endobj 141 0 obj << /Type /StructElem - /S /Formula - /P 138 0 R - /K [24 25 26 27 28 29] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [142 0 R] >> endobj 142 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [4 145 0 R 11 144 0 R 21 143 0 R 23] - /Pg 197 0 R + /S /Formula + /P 141 0 R + /K [76 77 78 79 80 81 82 83 84 85] + /Pg 271 0 R >> endobj 143 0 obj << /Type /StructElem - /S /Em - /P 142 0 R - /K [22] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [145 0 R 60 144 0 R] + /Pg 271 0 R >> endobj @@ -1483,227 +1514,902 @@ endobj << /Type /StructElem /S /Formula - /P 142 0 R - /K [12 13 14 15 16 17 18 19 20] - /Pg 197 0 R + /P 143 0 R + /K [61 62 63 64 65 66 67 68 69 70 71 72 73 74 75] + /Pg 271 0 R >> endobj 145 0 obj << /Type /StructElem - /S /Formula - /P 142 0 R - /K [5 6 7 8 9 10] - /Pg 197 0 R + /S /Strong + /P 143 0 R + /K [59] + /Pg 271 0 R >> endobj 146 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [3] - /Pg 197 0 R + /S /H2 + /P 25 0 R + /T + /K [58] + /Pg 271 0 R >> endobj 147 0 obj << /Type /StructElem - /S /H1 - /P 17 0 R - /T (Vektorfunktioner af flere variabler) - /K [2] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [148 0 R] >> endobj 148 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [1] - /Pg 197 0 R + /S /Formula + /P 147 0 R + /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56 57] + /Pg 271 0 R >> endobj 149 0 obj << /Type /StructElem - /S /H1 - /P 17 0 R - /T (Funktioner) - /K [0] - /Pg 197 0 R + /S /P + /P 25 0 R + /K [35 150 0 R 42] + /Pg 271 0 R >> endobj 150 0 obj << /Type /StructElem - /S /P - /P 17 0 R - /K [8] - /Pg 195 0 R + /S /Formula + /P 149 0 R + /K [36 37 38 39 40 41] + /Pg 271 0 R >> endobj 151 0 obj << /Type /StructElem - /S /Div - /P 17 0 R - /K [155 0 R 152 0 R] + /S /H3 + /P 25 0 R + /T (Niveaukurver) + /K [34] + /Pg 271 0 R >> endobj 152 0 obj << /Type /StructElem - /S /Div - /P 151 0 R - /K [154 0 R 153 0 R] + /S /P + /P 25 0 R + /K [28 153 0 R] + /Pg 271 0 R >> endobj 153 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 152 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [7] - /Pg 195 0 R + /K [29 30 31 32 33] + /Pg 271 0 R >> endobj 154 0 obj << /Type /StructElem - /S /Strong - /P 152 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6] - /Pg 195 0 R + /S /P + /P 25 0 R + /K [155 0 R] >> endobj 155 0 obj << /Type /StructElem - /S /Div - /P 151 0 R - /K [157 0 R 156 0 R] + /S /Formula + /P 154 0 R + /K [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27] + /Pg 271 0 R >> endobj 156 0 obj << /Type /StructElem - /S /Span - /P 155 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [5] - /Pg 195 0 R + /S /H2 + /P 25 0 R + /T (Visualiseringer af funktioner (1.4 i bogen)) + /K [0] + /Pg 271 0 R >> endobj 157 0 obj << /Type /StructElem - /S /Strong - /P 155 0 R + /S /Formula + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [4] - /Pg 195 0 R + /K [251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281] + /Pg 269 0 R >> endobj 158 0 obj << /Type /StructElem - /S /Span - /P 17 0 R + /S /Formula + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [1 2 3] - /Pg 195 0 R + /K [222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250] + /Pg 269 0 R >> endobj 159 0 obj << /Type /StructElem - /S /Figure - /P 17 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [0] - /Pg 195 0 R + /S /P + /P 25 0 R + /K [221] + /Pg 269 0 R >> endobj 160 0 obj << - /Type /Font - /Subtype /Type0 - /BaseFont /KLCOLF+LiberationSans-Bold - /Encoding /Identity-H - /DescendantFonts [161 0 R] - /ToUnicode 164 0 R + /Type /StructElem + /S /P + /P 25 0 R + /K [210 161 0 R] + /Pg 269 0 R >> endobj 161 0 obj << - /Type /Font - /Subtype /CIDFontType2 - /BaseFont /KLCOLF+LiberationSans-Bold - /CIDSystemInfo << - /Registry (Adobe) - /Ordering (Identity) - /Supplement 0 - >> - /FontDescriptor 163 0 R - /DW 0 - /CIDToGIDMap /Identity - /W [0 0 750 1 3 610.83984 4 4 556.15234 5 5 333.0078 6 6 277.83203 7 7 610.83984 8 8 556.15234 9 9 389.16016 10 10 277.83203 11 13 556.15234 14 14 722.16797 15 15 556.15234 16 16 333.0078 17 17 666.9922 18 18 889.16016 19 19 556.15234 20 20 610.83984 21 21 722.16797 22 22 666.9922 23 23 333.0078 24 24 277.83203 25 25 556.15234 26 26 610.83984 27 27 333.0078 28 28 556.15234 29 29 333.0078 30 30 666.9922 31 31 556.15234 32 32 610.83984 33 33 277.83203 34 34 722.16797 35 35 610.83984 36 36 722.16797 37 38 610.83984 39 39 556.15234 40 40 722.16797 41 41 889.16016] + /Type /StructElem + /S /Formula + /P 160 0 R + /K [211 212 213 214 215 216 217 218 219 220] + /Pg 269 0 R >> endobj 162 0 obj << - /Length 14 - /Filter /FlateDecode + /Type /StructElem + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209] + /Pg 269 0 R >> -stream -x -endstream endobj 163 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K [164 0 R] +>> +endobj + +164 0 obj +<< + /Type /StructElem + /S /Formula + /P 163 0 R + /K [167 168 169 170 171 172] + /Pg 269 0 R +>> +endobj + +165 0 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19 20 21 22 23 24 25 26 27 28 29 30 31 32] + /Pg 269 0 R +>> +endobj + +180 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K [1] + /Pg 269 0 R +>> +endobj + +181 0 obj +<< + /Type /StructElem + /S /H2 + /P 25 0 R + /T (Koordinatfunktioner) + /K [0] + /Pg 269 0 R +>> +endobj + +182 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K [227 183 0 R] + /Pg 267 0 R +>> +endobj + +183 0 obj +<< + /Type /StructElem + /S /Formula + /P 182 0 R + /K [228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271] + /Pg 267 0 R +>> +endobj + +184 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K [205 185 0 R] + /Pg 267 0 R +>> +endobj + +185 0 obj +<< + /Type /StructElem + /S /Formula + /P 184 0 R + /K [206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226] + /Pg 267 0 R +>> +endobj + +186 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K 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vektorfunktioner +#definition(title: "3.2.1")[ +En funktion $f: "dom"(f) arrow RR, quad "dom"(f) in RR$ er kontinuert i $x_0 in A = "dom"(f)$ hvis +$ +||arrow(f)(arrow(x))-arrow(f)(arrow(x)_0)|| arrow 0 "for" ||arrow(x)-arrow(x)_0)|| arrow 0 +$ +] + += Ortogonale vektor +#example(title: "2.1.1")[ +$ + = arrow(x) dot arrow(y) = x_1 y_1 + x_2 y_2\ += + +$ + +$arrow(x) eq.not arrow(0)$ og $arrow(y) eq.not arrow(0)$ er ortogonale hvis prik-produkt (indre produkt) er nul: +$ +arrow(x) dot arrow(y) = 0 +$ +] + +#definition(title: "2.1.2 og eq 2.6")[ +Lad $FF=RR$ eller $CC$. For $arrow(x), arrow(y) in CC^n$ er det sædvanlige indre produkt givet ved: +$ +&=sum^k_(k=1) x_k y_k\ +&=arrow(y)^T arrow(x)\ +&= [y_1 y_2 dots y_n] dot vec(x_1, x_2, dots.v, x_3) +$ + +] + +#example()[ +I $RR^4$. $arrow(x)=vec(0,1,-3,1), arrow(y)=vec(1,1,3,a)$. Hvilken værdi af $a in RR$ er disse ortogonale? + +#solution()[ +$ + &= 0 dot 1 + 1 dot 1 + (-3) dot 3 + 1 dot a\ += -8 + a <=> a = 8 +$ +] +] += Norm/længe af vektor +$ +||arrow(x)|| &= sqrt()\ +&= sqrt(sum^n_(k=1) x_k overline(x_k))\ +&=sqrt(sum^n_(k=1) |x_k|^2) +$ + + +Enhedsvektor hvis $||arrow(x)|| = 1$ + += Kvadratiske former +#definition(title: "1.2.1")[ +$ +q : RR^n arrow RR, q(arrow(x)) = arrow(x)^T bold(A) arrow(x) + arrow(b)^T arrow(x) + c\ +bold(A) in RR^(n times n), arrow(b) in RR^n, c in RR +$ +] + +#example()[ +$n=2$. +$ +bold(A)=mat(-1,0;0,-2), arrow(b)=vec(0,0), c=0, arrow(x)=vec(x_1, x_2) +$ + +$ +q(arrow(x))&=mat(x_1,x_2) mat(-1,0;0,-2) vec(x_1, x_2) + mat(0,0) vec(x_1, x_2) + 0\ +&= mat(x_1,x_2) vec(-x_1 + 0, 0-2x_2) = mat(x_1, x_2) vec(-x_1, 2x_2)\ +&= -x_1^2 - 2x_2^2 +$ +] + += Delvis afledte +#example()[ +$ +f: RR^2 arrow RR\ +f(x_1, x_2) = 1 - (x_1^2)/2 - x_1 x_2^2 +$ + +Laver ny funktion med kun én variabel: +$ +h(x_1) = 1 - x_1^2/2 - x_1 dot c_1, c_1 = x_2^2\ +h'(x_1)=0- 2/2 x_1 - c_1 = -x_1 - x_2^2 +$ + +$ +(partial f)/(partial x_1) (arrow(x))= -x_1 - x_2^2 +$ + +For $x_2$: +$ +g(x_2)=1-c_2 - c_3 x_2^2\ +"hvor" c_2 = x_1^2/2, c_3 = x_1\ +g'(x_2) = 0-0-2 c_3 x_2 +$ +Så: +$ +(partial f)/(partial x_2) (arrow(x)) = -2x_1 x_2 +$ +] +#definition(title: "3.2.2 (gradientvektoren)")[ +$ +arrow(nabla) f(arrow(x))= vec((partial f)/(partial x_1) (arrow(x)), (partial f)/(partial x_2) (arrow(x)), dots.v, (partial f)/(partial x_n) (arrow(x))) +$ +Den hører altid til i domænet af f. +] + +Gradientvektoren fra før: +$ +arrow(nabla) q (arrow(x)) = vec(-2x_1, -4x_2) +$