diff --git a/course2/sem3/labs/lab4.02/report.pdf b/course2/sem3/labs/lab4.02/report.pdf index 864b54f..6045017 100644 --- a/course2/sem3/labs/lab4.02/report.pdf +++ b/course2/sem3/labs/lab4.02/report.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 9 - /Kids [471 0 R 473 0 R 475 0 R 477 0 R 479 0 R 482 0 R 484 0 R 486 0 R 488 0 R] + /Count 5 + /Kids [192 0 R 194 0 R 196 0 R 198 0 R 200 0 R] >> endobj @@ -13,70 +13,20 @@ endobj << /Type /Outlines /First 3 0 R - /Last 8 0 R - /Count 6 + /Last 3 0 R + /Count 1 >> endobj 3 0 obj << /Parent 2 0 R - /Next 4 0 R - /Title - /Dest 464 0 R + /Title + /Dest 191 0 R >> endobj 4 0 obj -<< - /Parent 2 0 R - /Next 5 0 R - /Prev 3 0 R - /Title - /Dest 465 0 R ->> -endobj - -5 0 obj -<< - /Parent 2 0 R - /Next 6 0 R - /Prev 4 0 R - /Title - /Dest 466 0 R ->> -endobj - -6 0 obj -<< - /Parent 2 0 R - /Next 7 0 R - /Prev 5 0 R - /Title - /Dest 467 0 R ->> -endobj - -7 0 obj -<< - /Parent 2 0 R - /Next 8 0 R - /Prev 6 0 R - /Title - /Dest 468 0 R ->> -endobj - -8 0 obj -<< - /Parent 2 0 R - /Prev 7 0 R - /Title - /Dest 469 0 R ->> -endobj - -9 0 obj << /Type /StructTreeRoot /RoleMap << @@ -86,94 +36,172 @@ endobj /Strong /Span /Em /Span >> - /K [19 0 R] + /K [10 0 R] /ParentTree << - /Nums [0 10 0 R 1 11 0 R 2 12 0 R 3 13 0 R 4 14 0 R 5 156 0 R 6 15 0 R 7 16 0 R 8 17 0 R 9 18 0 R] + /Nums [0 5 0 R 1 6 0 R 2 7 0 R 3 8 0 R 4 9 0 R] >> - /ParentTreeNextKey 10 + /ParentTreeNextKey 5 >> endobj +5 0 obj +[156 0 R 156 0 R 156 0 R 154 0 R 149 0 R 150 0 R 147 0 R 143 0 R 144 0 R 141 0 R 137 0 R 138 0 R 135 0 R 131 0 R 131 0 R 131 0 R 131 0 R 129 0 R 128 0 R 128 0 R 128 0 R 126 0 R 126 0 R 126 0 R 126 0 R 126 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 125 0 R 124 0 R 124 0 R 124 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 123 0 R 122 0 R 122 0 R 122 0 R] +endobj + +6 0 obj +[120 0 R 120 0 R 119 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 116 0 R 117 0 R 117 0 R 117 0 R 116 0 R 116 0 R 116 0 R 115 0 R 115 0 R 115 0 R 115 0 R 115 0 R 112 0 R 114 0 R 112 0 R 113 0 R 112 0 R 112 0 R 112 0 R 110 0 R 111 0 R 111 0 R 111 0 R 110 0 R 110 0 R 109 0 R 109 0 R 109 0 R 107 0 R 107 0 R 106 0 R 106 0 R 106 0 R 106 0 R 106 0 R 106 0 R 106 0 R 106 0 R 105 0 R 105 0 R 104 0 R 104 0 R 104 0 R 104 0 R 103 0 R 103 0 R 103 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 102 0 R 101 0 R 101 0 R 101 0 R 98 0 R 98 0 R 99 0 R 99 0 R 98 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R] +endobj + +7 0 obj +[96 0 R 96 0 R 94 0 R 94 0 R 94 0 R 94 0 R 95 0 R 94 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 0 R 93 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 92 0 R 91 0 R 91 0 R 89 0 R 89 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 82 0 R 87 0 R 82 0 R 86 0 R 82 0 R 85 0 R 82 0 R 82 0 R 84 0 R 82 0 R 83 0 R 83 0 R 82 0 R 82 0 R 81 0 R 81 0 R 80 0 R 78 0 R 76 0 R 76 0 R 76 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 69 0 R 74 0 R 69 0 R 73 0 R 69 0 R 72 0 R 69 0 R 69 0 R 71 0 R 69 0 R 70 0 R 70 0 R 69 0 R 69 0 R 68 0 R 66 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R 65 0 R] +endobj + +8 0 obj +[62 0 R 64 0 R 64 0 R 62 0 R 63 0 R 63 0 R 62 0 R 62 0 R 62 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 56 0 R 60 0 R 60 0 R 56 0 R 56 0 R 56 0 R 59 0 R 59 0 R 56 0 R 56 0 R 56 0 R 58 0 R 58 0 R 56 0 R 57 0 R 57 0 R 56 0 R 56 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 54 0 R 54 0 R 54 0 R 52 0 R 52 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 44 0 R 50 0 R 50 0 R 44 0 R 49 0 R 49 0 R 44 0 R 44 0 R 48 0 R 48 0 R 48 0 R 44 0 R 47 0 R 47 0 R 47 0 R 44 0 R 46 0 R 46 0 R 44 0 R 45 0 R 45 0 R 44 0 R 38 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 38 0 R 38 0 R 38 0 R 38 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 38 0 R 41 0 R 41 0 R 41 0 R 41 0 R 38 0 R 40 0 R 40 0 R 40 0 R 40 0 R 40 0 R 40 0 R 40 0 R 38 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 38 0 R 36 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 35 0 R 35 0 R 35 0 R 33 0 R 33 0 R 33 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R 32 0 R] +endobj + +9 0 obj +[25 0 R 31 0 R 25 0 R 30 0 R 25 0 R 29 0 R 25 0 R 25 0 R 28 0 R 25 0 R 25 0 R 27 0 R 27 0 R 25 0 R 25 0 R 26 0 R 25 0 R 25 0 R 24 0 R 24 0 R 22 0 R 22 0 R 21 0 R 21 0 R 21 0 R 21 0 R 21 0 R 21 0 R 21 0 R 20 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 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 19 0 R 19 0 R 19 0 R 19 0 R 17 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 17 0 R 15 0 R 16 0 R 16 0 R 15 0 R 15 0 R 14 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 13 0 R 12 0 R 11 0 R 11 0 R 11 0 R] +endobj + 10 0 obj -[423 0 R 423 0 R 423 0 R 421 0 R 416 0 R 417 0 R 414 0 R 410 0 R 411 0 R 408 0 R 404 0 R 405 0 R 402 0 R 398 0 R 398 0 R 398 0 R 398 0 R 396 0 R 395 0 R 395 0 R 395 0 R 394 0 R 393 0 R 393 0 R 393 0 R 392 0 R 391 0 R 391 0 R 391 0 R 389 0 R 389 0 R 389 0 R 389 0 R 389 0 R 388 0 R 388 0 R 388 0 R 388 0 R 388 0 R 388 0 R 388 0 R 387 0 R 387 0 R 387 0 R] +<< + /Type /StructElem + /S /Document + /P 4 0 R + /K [151 0 R 132 0 R 130 0 R 129 0 R 127 0 R 126 0 R 125 0 R 124 0 R 123 0 R 121 0 R 120 0 R 119 0 R 118 0 R 116 0 R 115 0 R 112 0 R 110 0 R 108 0 R 107 0 R 106 0 R 105 0 R 104 0 R 103 0 R 102 0 R 100 0 R 98 0 R 97 0 R 96 0 R 94 0 R 93 0 R 92 0 R 90 0 R 89 0 R 88 0 R 82 0 R 77 0 R 76 0 R 75 0 R 69 0 R 67 0 R 66 0 R 65 0 R 62 0 R 61 0 R 56 0 R 55 0 R 53 0 R 52 0 R 51 0 R 44 0 R 38 0 R 36 0 R 34 0 R 33 0 R 32 0 R 25 0 R 23 0 R 22 0 R 21 0 R 20 0 R 19 0 R 17 0 R 15 0 R 14 0 R 13 0 R 12 0 R 11 0 R] +>> endobj 11 0 obj -[386 0 R 386 0 R 386 0 R 386 0 R 386 0 R 386 0 R 385 0 R 385 0 R 385 0 R 383 0 R 383 0 R 382 0 R 381 0 R 381 0 R 381 0 R 381 0 R 381 0 R 381 0 R 381 0 R 379 0 R 379 0 R 380 0 R 380 0 R 380 0 R 379 0 R 379 0 R 379 0 R 378 0 R 378 0 R 378 0 R 378 0 R 378 0 R 375 0 R 377 0 R 375 0 R 376 0 R 375 0 R 375 0 R 375 0 R 373 0 R 374 0 R 374 0 R 374 0 R 373 0 R 373 0 R 372 0 R 372 0 R 372 0 R 370 0 R 370 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 369 0 R 368 0 R 368 0 R 367 0 R 367 0 R 367 0 R 367 0 R 366 0 R 366 0 R 366 0 R 365 0 R 365 0 R 365 0 R 365 0 R 365 0 R 365 0 R 365 0 R 365 0 R 365 0 R 365 0 R 364 0 R 364 0 R 364 0 R] +<< + /Type /StructElem + /S /P + /P 10 0 R + /K [90 91 92] + /Pg 200 0 R +>> endobj 12 0 obj -[362 0 R 362 0 R 360 0 R 360 0 R 360 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 359 0 R 353 0 R 358 0 R 353 0 R 357 0 R 353 0 R 356 0 R 353 0 R 353 0 R 355 0 R 353 0 R 354 0 R 354 0 R 353 0 R 353 0 R 352 0 R 352 0 R 351 0 R 349 0 R 347 0 R 347 0 R 347 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 346 0 R 340 0 R 345 0 R 340 0 R 344 0 R 340 0 R 343 0 R 340 0 R 340 0 R 342 0 R 340 0 R 341 0 R 341 0 R 340 0 R 340 0 R 339 0 R 338 0 R 334 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 335 0 R 334 0 R 334 0 R 333 0 R 332 0 R 332 0 R 332 0 R 329 0 R 329 0 R 329 0 R 329 0 R 329 0 R 329 0 R 328 0 R 327 0 R 327 0 R 327 0 R 322 0 R 324 0 R 322 0 R 323 0 R 322 0 R 322 0 R] +<< + /Type /StructElem + /S /P + /P 10 0 R + /K [89] + /Pg 200 0 R +>> endobj 13 0 obj -[321 0 R 320 0 R 320 0 R 317 0 R 317 0 R 317 0 R 317 0 R] +<< + /Type /StructElem + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [77 78 79 80 81 82 83 84 85 86 87 88] + /Pg 200 0 R +>> endobj 14 0 obj -[316 0 R 313 0 R 311 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 308 0 R 306 0 R 301 0 R 305 0 R 301 0 R 304 0 R 301 0 R 303 0 R 301 0 R 302 0 R 301 0 R 299 0 R 299 0 R 299 0 R 299 0 R 295 0 R 297 0 R 295 0 R 296 0 R 295 0 R 293 0 R 293 0 R 293 0 R 293 0 R 293 0 R 293 0 R 293 0 R 293 0 R 293 0 R 289 0 R 291 0 R 289 0 R 290 0 R 289 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 287 0 R 285 0 R 285 0 R 279 0 R 284 0 R 279 0 R 283 0 R 279 0 R 282 0 R 279 0 R 281 0 R 279 0 R 280 0 R 279 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 277 0 R 275 0 R 275 0 R 269 0 R 274 0 R 274 0 R 274 0 R 274 0 R 269 0 R 269 0 R 273 0 R 273 0 R 269 0 R 269 0 R 272 0 R 269 0 R 271 0 R 269 0 R 270 0 R 269 0 R 269 0 R 269 0 R 315 0 R] +<< + /Type /StructElem + /S /P + /P 10 0 R + /K [76] + /Pg 200 0 R +>> endobj 15 0 obj -[264 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 261 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 259 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 257 0 R 255 0 R 255 0 R 255 0 R 255 0 R 255 0 R 255 0 R 255 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 253 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 251 0 R 248 0 R 248 0 R 248 0 R 248 0 R 246 0 R 245 0 R 244 0 R 243 0 R 242 0 R 240 0 R 240 0 R 240 0 R 240 0 R 238 0 R 237 0 R 236 0 R 235 0 R 234 0 R 232 0 R 232 0 R 232 0 R 232 0 R 230 0 R 229 0 R 228 0 R 227 0 R 226 0 R 224 0 R 224 0 R 224 0 R 224 0 R 222 0 R 221 0 R 220 0 R 219 0 R 218 0 R 216 0 R 216 0 R 216 0 R 216 0 R 214 0 R 213 0 R 212 0 R 211 0 R 210 0 R 208 0 R 208 0 R 208 0 R 208 0 R 206 0 R 205 0 R 204 0 R 203 0 R 202 0 R 200 0 R 200 0 R 200 0 R 200 0 R 198 0 R 197 0 R 196 0 R 195 0 R 194 0 R 192 0 R 192 0 R 192 0 R 192 0 R 190 0 R 189 0 R 188 0 R 187 0 R 186 0 R 184 0 R 184 0 R 184 0 R 184 0 R 182 0 R 181 0 R 180 0 R 179 0 R 178 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 174 0 R 173 0 R 172 0 R 171 0 R 170 0 R 168 0 R 168 0 R 168 0 R 166 0 R 165 0 R 164 0 R 163 0 R 162 0 R 263 0 R 159 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 155 0 R 156 0 R 155 0 R 154 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 149 0 R 151 0 R 151 0 R 149 0 R 150 0 R 150 0 R 150 0 R 149 0 R 149 0 R] +<< + /Type /StructElem + /S /P + /P 10 0 R + /K [71 16 0 R 74 75] + /Pg 200 0 R +>> endobj 16 0 obj -[146 0 R 146 0 R 146 0 R 146 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 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 137 0 R 137 0 R 137 0 R 135 0 R 135 0 R 135 0 R 133 0 R 133 0 R 131 0 R 131 0 R 131 0 R 131 0 R 128 0 R 128 0 R 128 0 R 126 0 R 126 0 R 126 0 R 124 0 R 124 0 R 122 0 R 122 0 R 122 0 R 122 0 R 119 0 R 119 0 R 119 0 R 117 0 R 117 0 R 117 0 R 115 0 R 115 0 R 113 0 R 113 0 R 113 0 R 113 0 R 110 0 R 110 0 R 110 0 R 108 0 R 108 0 R 108 0 R 106 0 R 106 0 R 104 0 R 104 0 R 104 0 R 104 0 R 101 0 R 101 0 R 101 0 R 99 0 R 99 0 R 99 0 R 97 0 R 95 0 R 95 0 R 95 0 R 95 0 R 148 0 R 87 0 R 91 0 R 90 0 R 90 0 R 90 0 R 90 0 R 90 0 R 89 0 R 85 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 83 0 R] +<< + /Type /StructElem + /S /Formula + /P 15 0 R + /K [72 73] + /Pg 200 0 R +>> endobj 17 0 obj -[82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 82 0 R 81 0 R 81 0 R 81 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 79 0 R 79 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 78 0 R 76 0 R 77 0 R 76 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 74 0 R 69 0 R 69 0 R 67 0 R 67 0 R 67 0 R 65 0 R 65 0 R 65 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 60 0 R 59 0 R 58 0 R 57 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 45 0 R 44 0 R 43 0 R 42 0 R 40 0 R 39 0 R 38 0 R 37 0 R 73 0 R 72 0 R 72 0 R 72 0 R 72 0 R 72 0 R 72 0 R 72 0 R 72 0 R 72 0 R 71 0 R 34 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 31 0 R 32 0 R 32 0 R 31 0 R] +<< + /Type /StructElem + /S /P + /P 10 0 R + /K [56 18 0 R 70] + /Pg 200 0 R +>> endobj 18 0 obj -[30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 30 0 R 29 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 28 0 R 26 0 R 27 0 R 27 0 R 26 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 24 0 R 23 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 22 0 R 22 0 R 22 0 R 22 0 R 21 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] +<< + /Type /StructElem + /S /Formula + /P 17 0 R + /K [57 58 59 60 61 62 63 64 65 66 67 68 69] + /Pg 200 0 R +>> endobj 19 0 obj << /Type /StructElem - /S /Document - /P 9 0 R - /K [418 0 R 399 0 R 397 0 R 396 0 R 395 0 R 394 0 R 393 0 R 392 0 R 390 0 R 389 0 R 388 0 R 387 0 R 386 0 R 384 0 R 383 0 R 382 0 R 381 0 R 379 0 R 378 0 R 375 0 R 373 0 R 371 0 R 370 0 R 369 0 R 368 0 R 367 0 R 366 0 R 365 0 R 363 0 R 361 0 R 360 0 R 359 0 R 353 0 R 348 0 R 347 0 R 346 0 R 340 0 R 336 0 R 334 0 R 330 0 R 329 0 R 325 0 R 322 0 R 318 0 R 317 0 R 316 0 R 265 0 R 264 0 R 160 0 R 159 0 R 158 0 R 157 0 R 155 0 R 154 0 R 153 0 R 149 0 R 92 0 R 86 0 R 85 0 R 84 0 R 83 0 R 82 0 R 81 0 R 80 0 R 79 0 R 78 0 R 76 0 R 75 0 R 74 0 R 35 0 R 34 0 R 33 0 R 31 0 R 30 0 R 29 0 R 28 0 R 26 0 R 25 0 R 24 0 R 23 0 R 22 0 R 21 0 R 20 0 R] + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [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] + /Pg 200 0 R >> endobj 20 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [213 214 215 216 217 218 219 220 221 222 223 224 225 226] - /Pg 488 0 R + /S /P + /P 10 0 R + /K [29] + /Pg 200 0 R >> endobj 21 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [212] - /Pg 488 0 R + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [22 23 24 25 26 27 28] + /Pg 200 0 R >> endobj 22 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [199 200 201 202 203 204 205 206 207 208 209 210 211] - /Pg 488 0 R + /S /P + /P 10 0 R + /K [20 21] + /Pg 200 0 R >> endobj @@ -181,47 +209,38 @@ endobj << /Type /StructElem /S /P - /P 19 0 R - /K [198] - /Pg 488 0 R + /P 10 0 R + /K [24 0 R] >> endobj 24 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [186 187 188 189 190 191 192 193 194 195 196 197] - /Pg 488 0 R + /S /Strong + /P 23 0 R + /K [18 19] + /Pg 200 0 R >> endobj 25 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185] - /Pg 488 0 R + /S /P + /P 10 0 R + /K [0 31 0 R 2 30 0 R 4 29 0 R 6 7 28 0 R 9 10 27 0 R 13 14 26 0 R 16 17] + /Pg 200 0 R >> endobj 26 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [127 27 0 R 130] - /Pg 488 0 R + /S /Formula + /P 25 0 R + /K [15] + /Pg 200 0 R >> endobj @@ -229,9 +248,9 @@ endobj << /Type /StructElem /S /Formula - /P 26 0 R - /K [128 129] - /Pg 488 0 R + /P 25 0 R + /K [11 12] + /Pg 200 0 R >> endobj @@ -239,23 +258,19 @@ endobj << /Type /StructElem /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [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] - /Pg 488 0 R + /P 25 0 R + /K [8] + /Pg 200 0 R >> endobj 29 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [71] - /Pg 488 0 R + /S /Formula + /P 25 0 R + /K [5] + /Pg 200 0 R >> endobj @@ -263,23 +278,19 @@ endobj << /Type /StructElem /S /Formula - /P 19 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 62 63 64 65 66 67 68 69 70] - /Pg 488 0 R + /P 25 0 R + /K [3] + /Pg 200 0 R >> endobj 31 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [197 32 0 R 200] - /Pg 486 0 R + /S /Formula + /P 25 0 R + /K [1] + /Pg 200 0 R >> endobj @@ -287,23 +298,23 @@ endobj << /Type /StructElem /S /Formula - /P 31 0 R - /K [198 199] - /Pg 486 0 R + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185] + /Pg 198 0 R >> endobj 33 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [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] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [167 168 169] + /Pg 198 0 R >> endobj @@ -311,433 +322,295 @@ endobj << /Type /StructElem /S /P - /P 19 0 R - /K [151] - /Pg 486 0 R + /P 10 0 R + /K [35 0 R] >> endobj 35 0 obj << /Type /StructElem - /S /Table - /P 19 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [70 0 R 61 0 R 56 0 R 51 0 R 46 0 R 41 0 R 36 0 R] + /S /Strong + /P 34 0 R + /K [164 165 166] + /Pg 198 0 R >> endobj 36 0 obj << /Type /StructElem - /S /TR - /P 35 0 R - /K [40 0 R 39 0 R 38 0 R 37 0 R] + /S /P + /P 10 0 R + /K [155 37 0 R 161 162 163] + /Pg 198 0 R >> endobj 37 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 36 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [139] - /Pg 486 0 R + /K [156 157 158 159 160] + /Pg 198 0 R >> endobj 38 0 obj << /Type /StructElem - /S /TD - /P 36 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [138] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [106 43 0 R 121 122 123 124 42 0 R 135 41 0 R 140 40 0 R 148 39 0 R 154] + /Pg 198 0 R >> endobj 39 0 obj << /Type /StructElem - /S /TD - /P 36 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [137] - /Pg 486 0 R + /S /Formula + /P 38 0 R + /K [149 150 151 152 153] + /Pg 198 0 R >> endobj 40 0 obj << /Type /StructElem - /S /TD - /P 36 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [136] - /Pg 486 0 R + /S /Formula + /P 38 0 R + /K [141 142 143 144 145 146 147] + /Pg 198 0 R >> endobj 41 0 obj << /Type /StructElem - /S /TR - /P 35 0 R - /K [45 0 R 44 0 R 43 0 R 42 0 R] + /S /Formula + /P 38 0 R + /K [136 137 138 139] + /Pg 198 0 R >> endobj 42 0 obj << /Type /StructElem - /S /TD - /P 41 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [135] - /Pg 486 0 R + /S /Formula + /P 38 0 R + /K [125 126 127 128 129 130 131 132 133 134] + /Pg 198 0 R >> endobj 43 0 obj << /Type /StructElem - /S /TD - /P 41 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [134] - /Pg 486 0 R + /S /Formula + /P 38 0 R + /K [107 108 109 110 111 112 113 114 115 116 117 118 119 120] + /Pg 198 0 R >> endobj 44 0 obj << /Type /StructElem - /S /TD - /P 41 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [133] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [84 50 0 R 87 49 0 R 90 91 48 0 R 95 47 0 R 99 46 0 R 102 45 0 R 105] + /Pg 198 0 R >> endobj 45 0 obj << /Type /StructElem - /S /TD - /P 41 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [132] - /Pg 486 0 R + /S /Formula + /P 44 0 R + /K [103 104] + /Pg 198 0 R >> endobj 46 0 obj << /Type /StructElem - /S /TR - /P 35 0 R - /K [50 0 R 49 0 R 48 0 R 47 0 R] + /S /Formula + /P 44 0 R + /K [100 101] + /Pg 198 0 R >> endobj 47 0 obj << /Type /StructElem - /S /TD - /P 46 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [131] - /Pg 486 0 R + /S /Formula + /P 44 0 R + /K [96 97 98] + /Pg 198 0 R >> endobj 48 0 obj << /Type /StructElem - /S /TD - /P 46 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [130] - /Pg 486 0 R + /S /Formula + /P 44 0 R + /K [92 93 94] + /Pg 198 0 R >> endobj 49 0 obj << /Type /StructElem - /S /TD - /P 46 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [129] - /Pg 486 0 R + /S /Formula + /P 44 0 R + /K [88 89] + /Pg 198 0 R >> endobj 50 0 obj << /Type /StructElem - /S /TD - /P 46 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [128] - /Pg 486 0 R + /S /Formula + /P 44 0 R + /K [85 86] + /Pg 198 0 R >> endobj 51 0 obj << /Type /StructElem - /S /TR - /P 35 0 R - /K [55 0 R 54 0 R 53 0 R 52 0 R] + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83] + /Pg 198 0 R >> endobj 52 0 obj << /Type /StructElem - /S /TD - /P 51 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [127] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [59 60] + /Pg 198 0 R >> endobj 53 0 obj << /Type /StructElem - /S /TD - /P 51 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [126] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [54 0 R] >> endobj 54 0 obj << /Type /StructElem - /S /TD - /P 51 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [125] - /Pg 486 0 R + /S /Strong + /P 53 0 R + /K [56 57 58] + /Pg 198 0 R >> endobj 55 0 obj << /Type /StructElem - /S /TD - /P 51 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [124] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [51 52 53 54 55] + /Pg 198 0 R >> endobj 56 0 obj << /Type /StructElem - /S /TR - /P 35 0 R - /K [60 0 R 59 0 R 58 0 R 57 0 R] + /S /P + /P 10 0 R + /K [33 60 0 R 36 37 38 59 0 R 41 42 43 58 0 R 46 57 0 R 49 50] + /Pg 198 0 R >> endobj 57 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 56 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [123] - /Pg 486 0 R + /K [47 48] + /Pg 198 0 R >> endobj 58 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 56 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [122] - /Pg 486 0 R + /K [44 45] + /Pg 198 0 R >> endobj 59 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 56 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [121] - /Pg 486 0 R + /K [39 40] + /Pg 198 0 R >> endobj 60 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 56 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [120] - /Pg 486 0 R + /K [34 35] + /Pg 198 0 R >> endobj 61 0 obj << /Type /StructElem - /S /TR - /P 35 0 R - /K [68 0 R 66 0 R 64 0 R 62 0 R] + /S /Formula + /P 10 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 29 30 31 32] + /Pg 198 0 R >> endobj 62 0 obj << /Type /StructElem - /S /TD - /P 61 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [63 0 R] + /S /P + /P 10 0 R + /K [0 64 0 R 3 63 0 R 6 7 8 9] + /Pg 198 0 R >> endobj @@ -746,24 +619,18 @@ endobj /Type /StructElem /S /Formula /P 62 0 R - /K [113 114 115 116 117 118 119] - /Pg 486 0 R + /K [4 5] + /Pg 198 0 R >> endobj 64 0 obj << /Type /StructElem - /S /TD - /P 61 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [65 0 R] + /S /Formula + /P 62 0 R + /K [1 2] + /Pg 198 0 R >> endobj @@ -771,84 +638,72 @@ endobj << /Type /StructElem /S /Formula - /P 64 0 R - /K [110 111 112] - /Pg 486 0 R + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [111 112 113 114 115 116 117 118 119 120 121 122] + /Pg 196 0 R >> endobj 66 0 obj << /Type /StructElem - /S /TD - /P 61 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [67 0 R] + /S /P + /P 10 0 R + /K [110] + /Pg 196 0 R >> endobj 67 0 obj << /Type /StructElem - /S /Formula - /P 66 0 R - /K [107 108 109] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [68 0 R] >> endobj 68 0 obj << /Type /StructElem - /S /TD - /P 61 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [69 0 R] + /S /Strong + /P 67 0 R + /K [109] + /Pg 196 0 R >> endobj 69 0 obj << /Type /StructElem - /S /Formula - /P 68 0 R - /K [105 106] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [95 74 0 R 97 73 0 R 99 72 0 R 101 102 71 0 R 104 70 0 R 107 108] + /Pg 196 0 R >> endobj 70 0 obj << /Type /StructElem - /S /Caption - /P 35 0 R - /K [73 0 R 72 0 R 71 0 R] + /S /Formula + /P 69 0 R + /K [105 106] + /Pg 196 0 R >> endobj 71 0 obj << /Type /StructElem - /S /Span - /P 70 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [150] - /Pg 486 0 R + /S /Formula + /P 69 0 R + /K [103] + /Pg 196 0 R >> endobj @@ -856,37 +711,29 @@ endobj << /Type /StructElem /S /Formula - /P 70 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [141 142 143 144 145 146 147 148 149] - /Pg 486 0 R + /P 69 0 R + /K [100] + /Pg 196 0 R >> endobj 73 0 obj << /Type /StructElem - /S /Span - /P 70 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [140] - /Pg 486 0 R + /S /Formula + /P 69 0 R + /K [98] + /Pg 196 0 R >> endobj 74 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [104] - /Pg 486 0 R + /S /Formula + /P 69 0 R + /K [96] + /Pg 196 0 R >> endobj @@ -894,13 +741,13 @@ endobj << /Type /StructElem /S /Formula - /P 19 0 R + /P 10 0 R /A [<< /O /Layout /Placement /Block >>] - /K [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] - /Pg 486 0 R + /K [79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94] + /Pg 196 0 R >> endobj @@ -908,91 +755,77 @@ endobj << /Type /StructElem /S /P - /P 19 0 R - /K [75 77 0 R 77] - /Pg 486 0 R + /P 10 0 R + /K [76 77 78] + /Pg 196 0 R >> endobj 77 0 obj << /Type /StructElem - /S /Formula - /P 76 0 R - /K [76] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [81 0 R 79 0 R 78 0 R] >> endobj 78 0 obj << /Type /StructElem - /S /Formula - /P 19 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 65 66 67 68 69 70 71 72 73 74] - /Pg 486 0 R + /S /Strong + /P 77 0 R + /K [75] + /Pg 196 0 R >> endobj 79 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [46 47] - /Pg 486 0 R + /S /Formula + /P 77 0 R + /K [80 0 R] >> endobj 80 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [37 38 39 40 41 42 43 44 45] - /Pg 486 0 R + /S /Strong + /P 79 0 R + /K [74] + /Pg 196 0 R >> endobj 81 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [34 35 36] - /Pg 486 0 R + /S /Strong + /P 77 0 R + /K [72 73] + /Pg 196 0 R >> endobj 82 0 obj << /Type /StructElem - /S /Formula - /P 19 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] - /Pg 486 0 R + /S /P + /P 10 0 R + /K [58 87 0 R 60 86 0 R 62 85 0 R 64 65 84 0 R 67 83 0 R 70 71] + /Pg 196 0 R >> endobj 83 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [99] - /Pg 484 0 R + /S /Formula + /P 82 0 R + /K [68 69] + /Pg 196 0 R >> endobj @@ -1000,136 +833,116 @@ endobj << /Type /StructElem /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [88 89 90 91 92 93 94 95 96 97 98] - /Pg 484 0 R + /P 82 0 R + /K [66] + /Pg 196 0 R >> endobj 85 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [87] - /Pg 484 0 R + /S /Formula + /P 82 0 R + /K [63] + /Pg 196 0 R >> endobj 86 0 obj << /Type /StructElem - /S /Div - /P 19 0 R - /K [88 0 R 87 0 R] + /S /Formula + /P 82 0 R + /K [61] + /Pg 196 0 R >> endobj 87 0 obj << /Type /StructElem - /S /Figure - /P 86 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [79] - /Pg 484 0 R + /S /Formula + /P 82 0 R + /K [59] + /Pg 196 0 R >> endobj 88 0 obj << /Type /StructElem - /S /Caption - /P 86 0 R - /K [91 0 R 90 0 R 89 0 R] + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57] + /Pg 196 0 R >> endobj 89 0 obj << /Type /StructElem - /S /Span - /P 88 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [86] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [39 40 41] + /Pg 196 0 R >> endobj 90 0 obj << /Type /StructElem - /S /Formula - /P 88 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [81 82 83 84 85] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [91 0 R] >> endobj 91 0 obj << /Type /StructElem - /S /Span - /P 88 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [80] - /Pg 484 0 R + /S /Strong + /P 90 0 R + /K [37 38] + /Pg 196 0 R >> endobj 92 0 obj << /Type /StructElem - /S /Table - /P 19 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [147 0 R 138 0 R 129 0 R 120 0 R 111 0 R 102 0 R 93 0 R] + /S /P + /P 10 0 R + /K [35 36] + /Pg 196 0 R >> endobj 93 0 obj << /Type /StructElem - /S /TR - /P 92 0 R - /K [100 0 R 98 0 R 96 0 R 94 0 R] + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [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] + /Pg 196 0 R >> endobj 94 0 obj << /Type /StructElem - /S /TD - /P 93 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [95 0 R] + /S /P + /P 10 0 R + /K [2 3 4 5 95 0 R 7] + /Pg 196 0 R >> endobj @@ -1138,24 +951,18 @@ endobj /Type /StructElem /S /Formula /P 94 0 R - /K [74 75 76 77] - /Pg 484 0 R + /K [6] + /Pg 196 0 R >> endobj 96 0 obj << /Type /StructElem - /S /TD - /P 93 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [97 0 R] + /S /P + /P 10 0 R + /K [0 1] + /Pg 196 0 R >> endobj @@ -1163,25 +970,23 @@ endobj << /Type /StructElem /S /Formula - /P 96 0 R - /K [73] - /Pg 484 0 R + /P 10 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] + /Pg 194 0 R >> endobj 98 0 obj << /Type /StructElem - /S /TD - /P 93 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [99 0 R] + /S /P + /P 10 0 R + /K [71 72 99 0 R 75] + /Pg 194 0 R >> endobj @@ -1190,23 +995,16 @@ endobj /Type /StructElem /S /Formula /P 98 0 R - /K [70 71 72] - /Pg 484 0 R + /K [73 74] + /Pg 194 0 R >> endobj 100 0 obj << /Type /StructElem - /S /TD - /P 93 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] + /S /P + /P 10 0 R /K [101 0 R] >> endobj @@ -1214,35 +1012,34 @@ endobj 101 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 100 0 R - /K [67 68 69] - /Pg 484 0 R + /K [68 69 70] + /Pg 194 0 R >> endobj 102 0 obj << /Type /StructElem - /S /TR - /P 92 0 R - /K [109 0 R 107 0 R 105 0 R 103 0 R] + /S /Formula + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [58 59 60 61 62 63 64 65 66 67] + /Pg 194 0 R >> endobj 103 0 obj << /Type /StructElem - /S /TD - /P 102 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [104 0 R] + /S /P + /P 10 0 R + /K [55 56 57] + /Pg 194 0 R >> endobj @@ -1250,25 +1047,23 @@ endobj << /Type /StructElem /S /Formula - /P 103 0 R - /K [63 64 65 66] - /Pg 484 0 R + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [51 52 53 54] + /Pg 194 0 R >> endobj 105 0 obj << /Type /StructElem - /S /TD - /P 102 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [106 0 R] + /S /P + /P 10 0 R + /K [49 50] + /Pg 194 0 R >> endobj @@ -1276,86 +1071,72 @@ endobj << /Type /StructElem /S /Formula - /P 105 0 R - /K [61 62] - /Pg 484 0 R + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [41 42 43 44 45 46 47 48] + /Pg 194 0 R >> endobj 107 0 obj << /Type /StructElem - /S /TD - /P 102 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [108 0 R] + /S /P + /P 10 0 R + /K [39 40] + /Pg 194 0 R >> endobj 108 0 obj << /Type /StructElem - /S /Formula - /P 107 0 R - /K [58 59 60] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [109 0 R] >> endobj 109 0 obj << /Type /StructElem - /S /TD - /P 102 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [110 0 R] + /S /Strong + /P 108 0 R + /K [36 37 38] + /Pg 194 0 R >> endobj 110 0 obj << /Type /StructElem - /S /Formula - /P 109 0 R - /K [55 56 57] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [30 111 0 R 34 35] + /Pg 194 0 R >> endobj 111 0 obj << /Type /StructElem - /S /TR - /P 92 0 R - /K [118 0 R 116 0 R 114 0 R 112 0 R] + /S /Formula + /P 110 0 R + /K [31 32 33] + /Pg 194 0 R >> endobj 112 0 obj << /Type /StructElem - /S /TD - /P 111 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [113 0 R] + /S /P + /P 10 0 R + /K [23 114 0 R 25 113 0 R 27 28 29] + /Pg 194 0 R >> endobj @@ -1364,24 +1145,18 @@ endobj /Type /StructElem /S /Formula /P 112 0 R - /K [51 52 53 54] - /Pg 484 0 R + /K [26] + /Pg 194 0 R >> endobj 114 0 obj << /Type /StructElem - /S /TD - /P 111 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [115 0 R] + /S /Formula + /P 112 0 R + /K [24] + /Pg 194 0 R >> endobj @@ -1389,25 +1164,23 @@ endobj << /Type /StructElem /S /Formula - /P 114 0 R - /K [49 50] - /Pg 484 0 R + /P 10 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [18 19 20 21 22] + /Pg 194 0 R >> endobj 116 0 obj << /Type /StructElem - /S /TD - /P 111 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [117 0 R] + /S /P + /P 10 0 R + /K [10 11 117 0 R 15 16 17] + /Pg 194 0 R >> endobj @@ -1416,58 +1189,50 @@ endobj /Type /StructElem /S /Formula /P 116 0 R - /K [46 47 48] - /Pg 484 0 R + /K [12 13 14] + /Pg 194 0 R >> endobj 118 0 obj << /Type /StructElem - /S /TD - /P 111 0 R + /S /Formula + /P 10 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [119 0 R] + /K [3 4 5 6 7 8 9] + /Pg 194 0 R >> endobj 119 0 obj << /Type /StructElem - /S /Formula - /P 118 0 R - /K [43 44 45] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [2] + /Pg 194 0 R >> endobj 120 0 obj << /Type /StructElem - /S /TR - /P 92 0 R - /K [127 0 R 125 0 R 123 0 R 121 0 R] + /S /P + /P 10 0 R + /K [0 1] + /Pg 194 0 R >> endobj 121 0 obj << /Type /StructElem - /S /TD - /P 120 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] + /S /P + /P 10 0 R /K [122 0 R] >> endobj @@ -1475,77 +1240,58 @@ endobj 122 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 121 0 R - /K [39 40 41 42] - /Pg 484 0 R + /K [42 43 44] + /Pg 192 0 R >> endobj 123 0 obj << /Type /StructElem - /S /TD - /P 120 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [124 0 R] + /S /P + /P 10 0 R + /K [36 37 38 39 40 41] + /Pg 192 0 R >> endobj 124 0 obj << /Type /StructElem - /S /Formula - /P 123 0 R - /K [37 38] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [33 34 35] + /Pg 192 0 R >> endobj 125 0 obj << /Type /StructElem - /S /TD - /P 120 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [126 0 R] + /S /P + /P 10 0 R + /K [26 27 28 29 30 31 32] + /Pg 192 0 R >> endobj 126 0 obj << /Type /StructElem - /S /Formula - /P 125 0 R - /K [34 35 36] - /Pg 484 0 R + /S /P + /P 10 0 R + /K [21 22 23 24 25] + /Pg 192 0 R >> endobj 127 0 obj << /Type /StructElem - /S /TD - /P 120 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] + /S /P + /P 10 0 R /K [128 0 R] >> endobj @@ -1553,34 +1299,29 @@ endobj 128 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 127 0 R - /K [31 32 33] - /Pg 484 0 R + /K [18 19 20] + /Pg 192 0 R >> endobj 129 0 obj << /Type /StructElem - /S /TR - /P 92 0 R - /K [136 0 R 134 0 R 132 0 R 130 0 R] + /S /H3 + /P 10 0 R + /T + /K [17] + /Pg 192 0 R >> endobj 130 0 obj << /Type /StructElem - /S /TD - /P 129 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] + /S /P + /P 10 0 R /K [131 0 R] >> endobj @@ -1588,36 +1329,28 @@ endobj 131 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 130 0 R - /K [27 28 29 30] - /Pg 484 0 R + /K [13 14 15 16] + /Pg 192 0 R >> endobj 132 0 obj << /Type /StructElem - /S /TD - /P 129 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [133 0 R] + /S /Table + /P 10 0 R + /K [145 0 R 139 0 R 133 0 R] >> endobj 133 0 obj << /Type /StructElem - /S /Formula + /S /TR /P 132 0 R - /K [25 26] - /Pg 484 0 R + /K [136 0 R 134 0 R] >> endobj @@ -1625,13 +1358,10 @@ endobj << /Type /StructElem /S /TD - /P 129 0 R + /P 133 0 R /A [<< /O /Table /Headers [] - >> << - /O /Layout - /BorderStyle /Solid >>] /K [135 0 R] >> @@ -1640,10 +1370,10 @@ endobj 135 0 obj << /Type /StructElem - /S /Formula + /S /P /P 134 0 R - /K [22 23 24] - /Pg 484 0 R + /K [12] + /Pg 192 0 R >> endobj @@ -1651,13 +1381,10 @@ endobj << /Type /StructElem /S /TD - /P 129 0 R + /P 133 0 R /A [<< /O /Table /Headers [] - >> << - /O /Layout - /BorderStyle /Solid >>] /K [137 0 R] >> @@ -1666,146 +1393,130 @@ endobj 137 0 obj << /Type /StructElem - /S /Formula + /S /P /P 136 0 R - /K [19 20 21] - /Pg 484 0 R + /K [10 138 0 R] + /Pg 192 0 R >> endobj 138 0 obj << /Type /StructElem - /S /TR - /P 92 0 R - /K [145 0 R 143 0 R 141 0 R 139 0 R] + /S /Em + /P 137 0 R + /K [11] + /Pg 192 0 R >> endobj 139 0 obj << /Type /StructElem - /S /TD - /P 138 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [140 0 R] + /S /TR + /P 132 0 R + /K [142 0 R 140 0 R] >> endobj 140 0 obj << /Type /StructElem - /S /Formula + /S /TD /P 139 0 R - /K [14 15 16 17 18] - /Pg 484 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [141 0 R] >> endobj 141 0 obj << /Type /StructElem - /S /TD - /P 138 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [142 0 R] + /S /P + /P 140 0 R + /K [9] + /Pg 192 0 R >> endobj 142 0 obj << /Type /StructElem - /S /Formula - /P 141 0 R - /K [9 10 11 12 13] - /Pg 484 0 R + /S /TD + /P 139 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [143 0 R] >> endobj 143 0 obj << /Type /StructElem - /S /TD - /P 138 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [144 0 R] + /S /P + /P 142 0 R + /K [7 144 0 R] + /Pg 192 0 R >> endobj 144 0 obj << /Type /StructElem - /S /Formula + /S /Em /P 143 0 R - /K [4 5 6 7 8] - /Pg 484 0 R + /K [8] + /Pg 192 0 R >> endobj 145 0 obj << /Type /StructElem - /S /TD - /P 138 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [146 0 R] + /S /TR + /P 132 0 R + /K [148 0 R 146 0 R] >> endobj 146 0 obj << /Type /StructElem - /S /Formula + /S /TD /P 145 0 R - /K [0 1 2 3] - /Pg 484 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [147 0 R] >> endobj 147 0 obj << /Type /StructElem - /S /Caption - /P 92 0 R - /K [148 0 R] + /S /P + /P 146 0 R + /K [6] + /Pg 192 0 R >> endobj 148 0 obj << /Type /StructElem - /S /Span - /P 147 0 R + /S /TD + /P 145 0 R /A [<< - /O /Layout - /Placement /Block + /O /Table + /Headers [] >>] - /K [78] - /Pg 484 0 R + /K [149 0 R] >> endobj @@ -1813,3423 +1524,131 @@ endobj << /Type /StructElem /S /P - /P 19 0 R - /K [165 152 0 R 168 151 0 R 171 150 0 R 175 176] - /Pg 482 0 R + /P 148 0 R + /K [4 150 0 R] + /Pg 192 0 R >> endobj 150 0 obj << /Type /StructElem - /S /Formula + /S /Em /P 149 0 R - /K [172 173 174] - /Pg 482 0 R + /K [5] + /Pg 192 0 R >> endobj 151 0 obj << /Type /StructElem - /S /Formula - /P 149 0 R - /K [169 170] - /Pg 482 0 R + /S /Table + /P 10 0 R + /K [152 0 R] >> endobj 152 0 obj << /Type /StructElem - /S /Formula - /P 149 0 R - /K [166 167] - /Pg 482 0 R + /S /TR + /P 151 0 R + /K [155 0 R 153 0 R] >> endobj 153 0 obj << /Type /StructElem - /S /Formula - /P 19 0 R + /S /TD + /P 152 0 R /A [<< - /O /Layout - /Placement /Block + /O /Table + /Headers [] >>] - /K [156 157 158 159 160 161 162 163 164] - /Pg 482 0 R + /K [154 0 R] >> endobj 154 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [155] - /Pg 482 0 R + /S /Figure + /P 153 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 192 0 R >> endobj 155 0 obj << /Type /StructElem - /S /P - /P 19 0 R - /K [152 156 0 R 154] - /Pg 482 0 R + /S /TD + /P 152 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [156 0 R] >> endobj 156 0 obj << /Type /StructElem - /S /Link + /S /Strong /P 155 0 R - /K [153 << - /Type /OBJR - /Pg 482 0 R - /Obj 481 0 R - >>] - /Pg 482 0 R + /K [0 1 2] + /Pg 192 0 R >> endobj 157 0 obj << - /Type /StructElem - /S /Formula - /P 19 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [144 145 146 147 148 149 150 151] - /Pg 482 0 R + /Type /Font + /Subtype /Type0 + /BaseFont /AVKQTM+NewCM10-Bold-Identity-H + /Encoding /Identity-H + /DescendantFonts [158 0 R] + /ToUnicode 161 0 R >> endobj 158 0 obj -<< - /Type /StructElem - /S /P - /P 19 0 R - /K [143] - /Pg 482 0 R ->> -endobj - -159 0 obj -<< - /Type /StructElem - /S /H3 - /P 19 0 R - /T - /K [142] - /Pg 482 0 R ->> -endobj - -160 0 obj -<< - /Type /StructElem - /S /Table - /P 19 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [262 0 R 249 0 R 241 0 R 233 0 R 225 0 R 217 0 R 209 0 R 201 0 R 193 0 R 185 0 R 177 0 R 169 0 R 161 0 R] ->> -endobj - -161 0 obj -<< - /Type /StructElem - /S /TR - /P 160 0 R - /K [167 0 R 166 0 R 165 0 R 164 0 R 163 0 R 162 0 R] ->> -endobj - -162 0 obj -<< - /Type /StructElem - /S /TD - /P 161 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [140] - /Pg 482 0 R ->> -endobj - -163 0 obj -<< - /Type /StructElem - /S /TD - /P 161 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [139] - /Pg 482 0 R ->> -endobj - -164 0 obj -<< - /Type /StructElem - /S /TD - /P 161 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [138] - /Pg 482 0 R ->> -endobj - -165 0 obj -<< - /Type /StructElem - /S /TD - /P 161 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [137] - /Pg 482 0 R ->> -endobj - -166 0 obj -<< - /Type /StructElem - /S /TD - /P 161 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [136] - /Pg 482 0 R ->> -endobj - -167 0 obj -<< - /Type /StructElem - /S /TD - /P 161 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [168 0 R] ->> -endobj - -168 0 obj -<< - /Type /StructElem - /S /Formula - /P 167 0 R - /K [133 134 135] - /Pg 482 0 R ->> -endobj - -169 0 obj -<< - /Type /StructElem - /S /TR - /P 160 0 R - /K [175 0 R 174 0 R 173 0 R 172 0 R 171 0 R 170 0 R] ->> -endobj - -170 0 obj -<< - /Type /StructElem - /S /TD - /P 169 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [132] - /Pg 482 0 R ->> -endobj - -171 0 obj -<< - /Type /StructElem - /S /TD - /P 169 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [131] - /Pg 482 0 R ->> -endobj - -172 0 obj -<< - /Type /StructElem - /S /TD - /P 169 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [130] - /Pg 482 0 R ->> -endobj - -173 0 obj -<< - /Type /StructElem - /S /TD - /P 169 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [129] - /Pg 482 0 R ->> -endobj - -174 0 obj -<< - /Type /StructElem - /S /TD - /P 169 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [128] - /Pg 482 0 R ->> -endobj - -175 0 obj -<< - /Type /StructElem - /S /TD - /P 169 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [176 0 R] ->> -endobj - -176 0 obj -<< - /Type /StructElem - /S /Formula - /P 175 0 R - /K [123 124 125 126 127] - /Pg 482 0 R ->> -endobj - -177 0 obj -<< - /Type /StructElem - /S /TR - /P 160 0 R - /K [183 0 R 182 0 R 181 0 R 180 0 R 179 0 R 178 0 R] ->> -endobj - -178 0 obj -<< - /Type /StructElem - /S /TD - /P 177 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [122] - /Pg 482 0 R ->> -endobj - -179 0 obj -<< - /Type /StructElem - /S /TD - /P 177 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - 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->> -endobj - -186 0 obj -<< - /Type /StructElem - /S /TD - /P 185 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [113] - /Pg 482 0 R ->> -endobj - -187 0 obj -<< - /Type /StructElem - /S /TD - /P 185 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [112] - /Pg 482 0 R ->> -endobj - -188 0 obj -<< - /Type /StructElem - /S /TD - /P 185 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [111] - /Pg 482 0 R ->> -endobj - -189 0 obj -<< - /Type /StructElem - /S /TD - /P 185 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [110] - /Pg 482 0 R ->> -endobj - -190 0 obj -<< - /Type /StructElem - /S /TD - /P 185 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [109] - /Pg 482 0 R ->> -endobj - -191 0 obj -<< - /Type /StructElem - /S /TD - /P 185 0 R - /A [<< - /O /Table - 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0 obj -<< - /Type /StructElem - /S /TD - /P 201 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [93] - /Pg 482 0 R ->> -endobj - -205 0 obj -<< - /Type /StructElem - /S /TD - /P 201 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [92] - /Pg 482 0 R ->> -endobj - -206 0 obj -<< - /Type /StructElem - /S /TD - /P 201 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [91] - /Pg 482 0 R ->> -endobj - -207 0 obj -<< - /Type /StructElem - /S /TD - /P 201 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [208 0 R] ->> -endobj - -208 0 obj -<< - /Type /StructElem - /S /Formula - /P 207 0 R - /K [87 88 89 90] - /Pg 482 0 R ->> -endobj - -209 0 obj -<< - /Type /StructElem - /S /TR - /P 160 0 R - /K [215 0 R 214 0 R 213 0 R 212 0 R 211 0 R 210 0 R] ->> -endobj - -210 0 obj -<< - /Type /StructElem - /S /TD - /P 209 0 R - /A 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+54,8 @@ #line(length: 100%) #line(length: 100%) +/* + #align(center)[=== Цель работы] Определение расстояния между двумя щелями по полученной от них интерференционной картине. @@ -62,11 +64,13 @@ Измерение координат минимумов интерференционной картины от двух щелей при изменении расстояния между объектом и экраном. +*/ + #align(center)[=== Контрольные вопросы] // --- -*1. Что такое когерентность? Каким образом можно получить когерентные источники?* +*1. Что такое когерентность? Каким образом можно получить когерентные источники?* // ready Когерентность -- необходимое условие возникновения интерференции и определяется как постоянство разности фаз во времени. При этом такую согласованность невозможно получить от двух раздельных источников. @@ -78,7 +82,7 @@ // Классическим примером получения когерентных источников является опыт Юнга. -*2. Чем можно объяснить наличие максимума по центру интерференционной картины?* +*2. Чем можно объяснить наличие максимума по центру интерференционной картины?* // ready В центральной точке экрана разность хода волн от двух щелей равна нулю, и волны складываются в фазе. @@ -96,9 +100,9 @@ $ где $m$ – целое число, то в точке $D$ наблюдается интерференционный максимум, поскольку излучение от двух щелей складывается в фазе. -При $m eq 0$ разность хода равна нулю, что и соответствует центральному максимуму интерференционной картины. +При $m eq 0$ разность хода равна нулю, что соответствует центральному максимуму интерференционной картины. -*3. Сформулируйте условия возникновения максимумов и минимумов при интерференции через разность хода.* +*3. Сформулируйте условия возникновения максимумов и минимумов при интерференции через разность хода.* // ready Интерференция обусловлена тем, что волны проходят различные расстояния и имеют разность хода @@ -118,9 +122,25 @@ $ Delta eq (m plus 1/2) lambda. $ -*4. Сформулируйте условия возникновения максимумов и минимумов при интерференции через разность фаз.* +*4. Сформулируйте условия возникновения максимумов и минимумов при интерференции через разность фаз.* // ready -*5. Как изменится вид интерференционной картины в опыте Юнга при увеличении расстояния между щелями?* +Интерференционный максимум возникает в той точке пространства, где волны приходят в фазе, то есть когда разность фаз между ними кратна $2 pi$: + +$ +Delta phi eq phi_2 - phi_1 eq 2 pi m, space.quad m eq 0, 1, 2, dots +$ + +В этом случае происходит сложение амплитуд в фазе, и интенсивность света максимальна. + +Интерференционный минимум возникает в той точке пространстве, где волны приходят в противофазе, то есть когда разность фаз между ними равна нечетному числу $pi$: + +$ +Delta phi eq phi_2 - phi_1 eq (2m + 1) pi, space.quad m = 0, 1, 2, dots +$ + +В этом случае волны складываются в противофазе, и интенсивность света минимальна. + +*5. Как изменится вид интерференционной картины в опыте Юнга при увеличении расстояния между щелями?* // ready Зависимость для ширины интерференционной полосы определяется по формуле: @@ -130,7 +150,7 @@ $ где $d$ -- расстояние между щелями, $lambda$ -- длина волны света, $L$ -- расстояние от объекта с двумя щелями до экрана. Соответственно, если мы увеличиваем $d$, то ширина интерференционной полосы $Delta x$ уменьшается. То есть полосы сжимаются. -*6. Как изменится вид интерференционной картины в опыте Юнга при увеличении расстояния $L$ до экрана?* +*6. Как изменится вид интерференционной картины в опыте Юнга при увеличении расстояния $L$ до экрана?* // ready Зависимость для ширины интерференционной полосы определяется по формуле: @@ -140,21 +160,77 @@ $ где $d$ -- расстояние между щелями, $lambda$ -- длина волны света, $L$ -- расстояние от объекта с двумя щелями до экрана. Соответственно, если мы увеличиваем $L$, то ширина интерференционной полосы $Delta x$ увеличивается. То есть полосы расширяются. -7. Что называется контрастом интерференционной картины? +*7. Что называется контрастом интерференционной картины?* // ready -Контраст -- степень различимости максимумов и минимумов. $C eq (I_max minus I_min) / (I_max plus I_min)$. Чем выше контраст, тем точнее и чище видна картинка. +Количественно контраст характеризуется видностью полос: -8. Почему для наблюдения наиболее контрастной интерференционной картины необходимо равенство амплитуд складывающих волн? +$ +V eq frac(I_max - I_min, I_max + I_min) +$ -Если амплитуды одинаковые, то максимумы максимально яркие, а минимумы максимально темные. Это дает наибольший контраст. Если амплитуды разные, минимумы будут заполняться остаточной интенсивностью и картинка будет не такой точной. +где $I_max$ и $I_min$ - максимальная и минимальная интенсивность интерференционных полос в плоскости наблюдения. Интенсивность интерференционной картины, образованной двумя пучками, записывается как -9. Как изменится вид интерференционной картины в опыте Юнга при изменении длины волны источника, с которымпроводится опыт? +$ +I eq I_1 + I_2 + 2 sqrt(I_1 I_2) cos(phi_2 - phi_1), +$ -Если $lambda$ увеличивается, то полосы расширяются. Если $lambda$ уменьшается, то полосы сужаются. +где $I_1$ -- интенсивность первого интерферирующего пучка в точке наблюдения, если второй пучок отсутствует, $I_2$ -- интенсивность второго интерферирующего пучка в той же точке наблюдения, если первый пучок отсутствует, $phi_1$ -- фаза волны первого пучка в точке наблюдения, $phi_2$ -- фаза волны второго пучка в точке наблюдения. -10. Как будет меняться интерференционная картина? Если первое отверстие в опыте Юнга постепенно делать больше? +Контраст характеризует степень различия между максимумами и минимумами интенсивности и определяет, насколько отчётливо наблюдаются интерференционные полосы. -Первое отверстие определяет размер области, играющей роль точечного источника. Если его увеличить, то оно перестанет быть квазиточечным и падает когерентность. Контраст интерференционной картины уменьшается. При слишком большом отверстии картина исчезает полностью. +*8. Почему для наблюдения наиболее контрастной интерференционной картины необходимо равенство амплитуд складывающих волн?* // ready + +Интенсивность интерференционной картины двух волн рассчитывается по формуле: + +$ +I eq I_1 plus I_2 + 2 sqrt(I_1 I_2) cos (phi_2 - phi_1), +$ + +где $I_1$ и $I_2$ - интенсивности отдельных волн, которые пропорциональны квадратам амплитуд $A_1^2$ и $A_2^2$. $phi_1$ и $phi_2$ - фазы волн в точке наблюдения. + +Интерференционный член $2 sqrt(I_1 I_2) cos(phi_2 - phi_1)$ отвечает за усиление или ослабление света в зависимости от фазы. Его максимальное значение достигается при $cos(phi_2 - phi_1) eq 1$ и произведение $A_1 A_2$ максимально при $A_1 plus A_2 eq "const"$ если $A_1 eq A_2$. + +В результате разность $I_max - I_min$ максимальна, а значит, контраст интерференционной картины наибольший. + +*9. Как изменится вид интерференционной картины в опыте Юнга при изменении длины волны источника, с которым проводится опыт?* // ready + +Зависимость для ширины интерференционной полосы определяется по формуле: + +$ +Delta x eq x_(m + 1) - x_m eq lambda/d dot L, +$ + +где $d$ -- расстояние между щелями, $lambda$ -- длина волны света, $L$ -- расстояние от объекта с двумя щелями до экрана. Соответственно, если мы изменяем $lambda$, то ширина интерференционной полосы $Delta x$ изменяется прямо пропорционально. То есть если $lambda$ увеличивается, полосы расширяются, а если уменьшается -- сжимаются. + +*10. Как будет меняться интерференционная картина? Если первое отверстие в опыте Юнга постепенно делать больше?* + +Если первое отверстие увеличивать, ширина интерференционных полос не меняется: + +$ +Delta x eq frac(lambda L, d). +$ + +Интенсивность интерференционной картины: + +$ +I(x) eq I_1 plus I_2 plus 2 sqrt(I_1 I_2) cos(phi_2 - phi_1), +$ + +где $I_1 eq A_1^2, I_2 eq A^2_2$. + +При увеличении щели, $A_1$ распределяется по ширине, интерференционный член уменьшается, максимумы и минимумы становятся менее выраженными. + +Контраст интерференционной картины: + +$ +V eq frac(I_max - I_min, I_max + I_min) +$ + +уменьшается при увеличении щели. + +Таким образом, ширина полос не изменяется, но полосы становятся размытыми. + +/* #align(center)[=== Основные формулы] @@ -324,3 +400,4 @@ $ // #align(center)[=== Контрольные вопросы] +*/ diff --git a/course2/sem3/labs/lab4.07/report.pdf b/course2/sem3/labs/lab4.07/report.pdf index b8d97f9..b959140 100644 --- a/course2/sem3/labs/lab4.07/report.pdf +++ b/course2/sem3/labs/lab4.07/report.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 5 - /Kids [430 0 R 432 0 R 434 0 R 436 0 R 438 0 R] + /Count 2 + /Kids [164 0 R 166 0 R] >> endobj @@ -21,54 +21,12 @@ endobj 3 0 obj << /Parent 2 0 R - /First 4 0 R - /Last 7 0 R - /Count -3 - /Title - /Dest 429 0 R + /Title + /Dest 163 0 R >> endobj 4 0 obj -<< - /Parent 3 0 R - /Next 5 0 R - /Title - /Dest 425 0 R ->> -endobj - -5 0 obj -<< - /Parent 3 0 R - /Next 7 0 R - /Prev 4 0 R - /First 6 0 R - /Last 6 0 R - /Count -1 - /Title - /Dest 427 0 R ->> -endobj - -6 0 obj -<< - /Parent 5 0 R - /Title - /Dest 426 0 R ->> -endobj - -7 0 obj -<< - /Parent 3 0 R - /Prev 5 0 R - /Title - /Dest 428 0 R ->> -endobj - -8 0 obj << /Type /StructTreeRoot /RoleMap << @@ -78,157 +36,213 @@ endobj /Strong /Span /Em /Span >> - /K [14 0 R] + /K [7 0 R] /ParentTree << - /Nums [0 9 0 R 1 10 0 R 2 11 0 R 3 12 0 R 4 13 0 R] + /Nums [0 5 0 R 1 6 0 R] >> - /ParentTreeNextKey 5 + /ParentTreeNextKey 2 +>> +endobj + +5 0 obj +[128 0 R 128 0 R 128 0 R 126 0 R 121 0 R 122 0 R 119 0 R 115 0 R 116 0 R 113 0 R 109 0 R 110 0 R 107 0 R 103 0 R 103 0 R 103 0 R 103 0 R 101 0 R 100 0 R 99 0 R 96 0 R 95 0 R 95 0 R 92 0 R 91 0 R 91 0 R 91 0 R 88 0 R 87 0 R 87 0 R 84 0 R 83 0 R 80 0 R 78 0 R 78 0 R 79 0 R 78 0 R 75 0 R 74 0 R 74 0 R 74 0 R 71 0 R 70 0 R 70 0 R 70 0 R 67 0 R 66 0 R 66 0 R 66 0 R] +endobj + +6 0 obj +[63 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 59 0 R 55 0 R 55 0 R 58 0 R 55 0 R 57 0 R 55 0 R 55 0 R 56 0 R 55 0 R 52 0 R 48 0 R 48 0 R 48 0 R 51 0 R 51 0 R 48 0 R 50 0 R 48 0 R 48 0 R 49 0 R 48 0 R 48 0 R 45 0 R 42 0 R 42 0 R 42 0 R 44 0 R 42 0 R 43 0 R 42 0 R 39 0 R 35 0 R 35 0 R 38 0 R 38 0 R 35 0 R 35 0 R 37 0 R 37 0 R 37 0 R 35 0 R 36 0 R 36 0 R 36 0 R 36 0 R 35 0 R 32 0 R 30 0 R 30 0 R 30 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 27 0 R 23 0 R 26 0 R 23 0 R 23 0 R 23 0 R 25 0 R 23 0 R 24 0 R 23 0 R 20 0 R 19 0 R 19 0 R 16 0 R 15 0 R 15 0 R 15 0 R 12 0 R 11 0 R] +endobj + +7 0 obj +<< + /Type /StructElem + /S /Document + /P 4 0 R + /K [123 0 R 104 0 R 102 0 R 101 0 R 8 0 R] +>> +endobj + +8 0 obj +<< + /Type /StructElem + /S /L + /P 7 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [97 0 R 93 0 R 89 0 R 85 0 R 81 0 R 76 0 R 72 0 R 68 0 R 64 0 R 60 0 R 53 0 R 46 0 R 40 0 R 33 0 R 28 0 R 21 0 R 17 0 R 13 0 R 9 0 R] >> endobj 9 0 obj -[390 0 R 390 0 R 390 0 R 388 0 R 383 0 R 384 0 R 381 0 R 377 0 R 378 0 R 375 0 R 371 0 R 372 0 R 369 0 R 365 0 R 365 0 R 364 0 R 363 0 R 362 0 R 362 0 R 360 0 R 359 0 R 356 0 R 355 0 R 354 0 R 352 0 R 351 0 R 349 0 R 348 0 R 346 0 R 345 0 R 343 0 R 342 0 R 339 0 R 337 0 R 338 0 R 338 0 R 338 0 R 338 0 R 337 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 336 0 R 333 0 R 335 0 R 335 0 R 335 0 R 333 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 334 0 R 331 0 R 332 0 R 331 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 330 0 R 329 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 328 0 R 327 0 R 327 0 R 327 0 R 327 0 R 327 0 R 327 0 R 327 0 R 327 0 R 326 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 325 0 R 324 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 323 0 R 321 0 R 322 0 R 322 0 R 322 0 R 322 0 R 322 0 R 322 0 R 321 0 R] +<< + /Type /StructElem + /S /LI + /P 8 0 R + /K [12 0 R 10 0 R] +>> endobj 10 0 obj -[320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 320 0 R 317 0 R 317 0 R 317 0 R 315 0 R 315 0 R 315 0 R 313 0 R 311 0 R 311 0 R 311 0 R 309 0 R 309 0 R 309 0 R 307 0 R 307 0 R 307 0 R 307 0 R 304 0 R 303 0 R 302 0 R 301 0 R 300 0 R 299 0 R 297 0 R 296 0 R 295 0 R 294 0 R 293 0 R 292 0 R 290 0 R 289 0 R 288 0 R 287 0 R 286 0 R 285 0 R 283 0 R 282 0 R 281 0 R 280 0 R 279 0 R 278 0 R 276 0 R 275 0 R 274 0 R 273 0 R 272 0 R 271 0 R 269 0 R 268 0 R 267 0 R 266 0 R 265 0 R 264 0 R 262 0 R 261 0 R 260 0 R 259 0 R 258 0 R 257 0 R 255 0 R 254 0 R 253 0 R 252 0 R 251 0 R 250 0 R 319 0 R 245 0 R 245 0 R 245 0 R 243 0 R 243 0 R 243 0 R 240 0 R 239 0 R 237 0 R 236 0 R 234 0 R 233 0 R 231 0 R 230 0 R 228 0 R 227 0 R 247 0 R 224 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 223 0 R 222 0 R 220 0 R 221 0 R 221 0 R 221 0 R 221 0 R 221 0 R 221 0 R 221 0 R 221 0 R 221 0 R 221 0 R 218 0 R 216 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 217 0 R 214 0 R 212 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 209 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 0 R 208 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 205 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 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 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] +<< + /Type /StructElem + /S /LBody + /P 9 0 R + /K [11 0 R] +>> endobj 11 0 obj -[203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 0 R 203 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 202 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 202 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 202 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 202 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 202 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 202 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 202 0 R 202 0 R 202 0 R 202 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 200 0 R 199 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 196 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 196 0 R 195 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 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 193 0 R 193 0 R 193 0 R 193 0 R 193 0 R 191 0 R 192 0 R 191 0 R 188 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 189 0 R 188 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 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 185 0 R 185 0 R 182 0 R 180 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 178 0 R 176 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 174 0 R 172 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 169 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 166 0 R 167 0 R 167 0 R 167 0 R 166 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 163 0 R 164 0 R 164 0 R 164 0 R 163 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 160 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 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 157 0 R 152 0 R 152 0 R 156 0 R 156 0 R 152 0 R 155 0 R 155 0 R 152 0 R 154 0 R 154 0 R 152 0 R 153 0 R 153 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 149 0 R] +<< + /Type /StructElem + /S /P + /P 10 0 R + /K [86] + /Pg 166 0 R +>> endobj 12 0 obj -[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 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 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 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 147 0 R 146 0 R 145 0 R 144 0 R 144 0 R 144 0 R 141 0 R 140 0 R 139 0 R 139 0 R 138 0 R 138 0 R 138 0 R 134 0 R 137 0 R 134 0 R 136 0 R 134 0 R 135 0 R 134 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 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 133 0 R 130 0 R 129 0 R 128 0 R 128 0 R 128 0 R 126 0 R 127 0 R 126 0 R 125 0 R 125 0 R 124 0 R 124 0 R 124 0 R 121 0 R 120 0 R 120 0 R 119 0 R 119 0 R 117 0 R 117 0 R 118 0 R 117 0 R 114 0 R 113 0 R 112 0 R 112 0 R 109 0 R 107 0 R 107 0 R 108 0 R 107 0 R 106 0 R 104 0 R 105 0 R 104 0 R 104 0 R 102 0 R 103 0 R 103 0 R 102 0 R 101 0 R 100 0 R 100 0 R 100 0 R 100 0 R 100 0 R 97 0 R 96 0 R] +<< + /Type /StructElem + /S /Lbl + /P 9 0 R + /K [85] + /Pg 166 0 R +>> endobj 13 0 obj -[95 0 R 95 0 R 92 0 R 91 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 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 87 0 R 87 0 R 87 0 R 87 0 R 87 0 R 85 0 R 84 0 R 83 0 R 82 0 R 82 0 R 79 0 R 79 0 R 78 0 R 77 0 R 76 0 R 75 0 R 74 0 R 74 0 R 74 0 R 71 0 R 71 0 R 71 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 68 0 R 64 0 R 67 0 R 64 0 R 64 0 R 66 0 R 64 0 R 64 0 R 65 0 R 64 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 59 0 R 55 0 R 55 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 55 0 R 52 0 R 49 0 R 49 0 R 51 0 R 49 0 R 50 0 R 49 0 R 46 0 R 42 0 R 42 0 R 45 0 R 45 0 R 42 0 R 44 0 R 44 0 R 44 0 R 42 0 R 43 0 R 43 0 R 43 0 R 43 0 R 42 0 R 39 0 R 37 0 R 37 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 38 0 R 37 0 R 34 0 R 30 0 R 33 0 R 30 0 R 32 0 R 30 0 R 31 0 R 30 0 R 27 0 R 26 0 R 26 0 R 23 0 R 22 0 R 22 0 R 19 0 R 18 0 R] +<< + /Type /StructElem + /S /LI + /P 8 0 R + /K [16 0 R 14 0 R] +>> endobj 14 0 obj << /Type /StructElem - /S /Document - /P 8 0 R - /K [385 0 R 366 0 R 365 0 R 364 0 R 357 0 R 356 0 R 340 0 R 339 0 R 337 0 R 336 0 R 333 0 R 331 0 R 330 0 R 329 0 R 328 0 R 327 0 R 326 0 R 325 0 R 324 0 R 323 0 R 321 0 R 320 0 R 248 0 R 225 0 R 224 0 R 223 0 R 210 0 R 209 0 R 208 0 R 207 0 R 206 0 R 205 0 R 204 0 R 203 0 R 202 0 R 201 0 R 200 0 R 199 0 R 198 0 R 196 0 R 195 0 R 194 0 R 193 0 R 191 0 R 188 0 R 187 0 R 170 0 R 169 0 R 168 0 R 166 0 R 165 0 R 163 0 R 162 0 R 160 0 R 159 0 R 157 0 R 152 0 R 151 0 R 150 0 R 149 0 R 148 0 R 147 0 R 88 0 R 86 0 R 84 0 R 80 0 R 79 0 R 78 0 R 77 0 R 76 0 R 72 0 R 71 0 R 69 0 R 62 0 R 60 0 R 15 0 R] + /S /LBody + /P 13 0 R + /K [15 0 R] >> endobj 15 0 obj << /Type /StructElem - /S /L + /S /P /P 14 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [53 0 R 47 0 R 40 0 R 35 0 R 28 0 R 24 0 R 20 0 R 16 0 R] + /K [82 83 84] + /Pg 166 0 R >> endobj 16 0 obj << /Type /StructElem - /S /LI - /P 15 0 R - /K [19 0 R 17 0 R] + /S /Lbl + /P 13 0 R + /K [81] + /Pg 166 0 R >> endobj 17 0 obj << /Type /StructElem - /S /LBody - /P 16 0 R - /K [18 0 R] + /S /LI + /P 8 0 R + /K [20 0 R 18 0 R] >> endobj 18 0 obj << /Type /StructElem - /S /P + /S /LBody /P 17 0 R - /K [148] - /Pg 438 0 R + /K [19 0 R] >> endobj 19 0 obj << /Type /StructElem - /S /Lbl - /P 16 0 R - /K [147] - /Pg 438 0 R + /S /P + /P 18 0 R + /K [79 80] + /Pg 166 0 R >> endobj 20 0 obj << /Type /StructElem - /S /LI - /P 15 0 R - /K [23 0 R 21 0 R] + /S /Lbl + /P 17 0 R + /K [78] + /Pg 166 0 R >> endobj 21 0 obj << /Type /StructElem - /S /LBody - /P 20 0 R - /K [22 0 R] + /S /LI + /P 8 0 R + /K [27 0 R 22 0 R] >> endobj 22 0 obj << /Type /StructElem - /S /P + /S /LBody /P 21 0 R - /K [145 146] - /Pg 438 0 R + /K [23 0 R] >> endobj 23 0 obj << /Type /StructElem - /S /Lbl - /P 20 0 R - /K [144] - /Pg 438 0 R + /S /P + /P 22 0 R + /K [69 26 0 R 71 72 73 25 0 R 75 24 0 R 77] + /Pg 166 0 R >> endobj 24 0 obj << /Type /StructElem - /S /LI - /P 15 0 R - /K [27 0 R 25 0 R] + /S /Formula + /P 23 0 R + /K [76] + /Pg 166 0 R >> endobj 25 0 obj << /Type /StructElem - /S /LBody - /P 24 0 R - /K [26 0 R] + /S /Formula + /P 23 0 R + /K [74] + /Pg 166 0 R >> endobj 26 0 obj << /Type /StructElem - /S /P - /P 25 0 R - /K [142 143] - /Pg 438 0 R + /S /Formula + /P 23 0 R + /K [70] + /Pg 166 0 R >> endobj @@ -236,9 +250,9 @@ endobj << /Type /StructElem /S /Lbl - /P 24 0 R - /K [141] - /Pg 438 0 R + /P 21 0 R + /K [68] + /Pg 166 0 R >> endobj @@ -246,8 +260,8 @@ endobj << /Type /StructElem /S /LI - /P 15 0 R - /K [34 0 R 29 0 R] + /P 8 0 R + /K [32 0 R 29 0 R] >> endobj @@ -265,8 +279,8 @@ endobj /Type /StructElem /S /P /P 29 0 R - /K [134 33 0 R 136 32 0 R 138 31 0 R 140] - /Pg 438 0 R + /K [55 56 57 31 0 R 67] + /Pg 166 0 R >> endobj @@ -275,66 +289,66 @@ endobj /Type /StructElem /S /Formula /P 30 0 R - /K [139] - /Pg 438 0 R + /K [58 59 60 61 62 63 64 65 66] + /Pg 166 0 R >> endobj 32 0 obj << /Type /StructElem - /S /Formula - /P 30 0 R - /K [137] - /Pg 438 0 R + /S /Lbl + /P 28 0 R + /K [54] + /Pg 166 0 R >> endobj 33 0 obj << /Type /StructElem - /S /Formula - /P 30 0 R - /K [135] - /Pg 438 0 R + /S /LI + /P 8 0 R + /K [39 0 R 34 0 R] >> endobj 34 0 obj << /Type /StructElem - /S /Lbl - /P 28 0 R - /K [133] - /Pg 438 0 R + /S /LBody + /P 33 0 R + /K [35 0 R] >> endobj 35 0 obj << /Type /StructElem - /S /LI - /P 15 0 R - /K [39 0 R 36 0 R] + /S /P + /P 34 0 R + /K [39 40 38 0 R 43 44 37 0 R 48 36 0 R 53] + /Pg 166 0 R >> endobj 36 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 35 0 R - /K [37 0 R] + /K [49 50 51 52] + /Pg 166 0 R >> endobj 37 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [121 122 38 0 R 132] - /Pg 438 0 R + /S /Formula + /P 35 0 R + /K [45 46 47] + /Pg 166 0 R >> endobj @@ -342,9 +356,9 @@ endobj << /Type /StructElem /S /Formula - /P 37 0 R - /K [123 124 125 126 127 128 129 130 131] - /Pg 438 0 R + /P 35 0 R + /K [41 42] + /Pg 166 0 R >> endobj @@ -352,9 +366,9 @@ endobj << /Type /StructElem /S /Lbl - /P 35 0 R - /K [120] - /Pg 438 0 R + /P 33 0 R + /K [38] + /Pg 166 0 R >> endobj @@ -362,8 +376,8 @@ endobj << /Type /StructElem /S /LI - /P 15 0 R - /K [46 0 R 41 0 R] + /P 8 0 R + /K [45 0 R 41 0 R] >> endobj @@ -381,8 +395,8 @@ endobj /Type /StructElem /S /P /P 41 0 R - /K [106 107 45 0 R 110 44 0 R 114 43 0 R 119] - /Pg 438 0 R + /K [31 32 33 44 0 R 35 43 0 R 37] + /Pg 166 0 R >> endobj @@ -391,8 +405,8 @@ endobj /Type /StructElem /S /Formula /P 42 0 R - /K [115 116 117 118] - /Pg 438 0 R + /K [36] + /Pg 166 0 R >> endobj @@ -401,56 +415,56 @@ endobj /Type /StructElem /S /Formula /P 42 0 R - /K [111 112 113] - /Pg 438 0 R + /K [34] + /Pg 166 0 R >> endobj 45 0 obj << /Type /StructElem - /S /Formula - /P 42 0 R - /K [108 109] - /Pg 438 0 R + /S /Lbl + /P 40 0 R + /K [30] + /Pg 166 0 R >> endobj 46 0 obj << /Type /StructElem - /S /Lbl - /P 40 0 R - /K [105] - /Pg 438 0 R + /S /LI + /P 8 0 R + /K [52 0 R 47 0 R] >> endobj 47 0 obj << /Type /StructElem - /S /LI - /P 15 0 R - /K [52 0 R 48 0 R] + /S /LBody + /P 46 0 R + /K [48 0 R] >> endobj 48 0 obj << /Type /StructElem - /S /LBody + /S /P /P 47 0 R - /K [49 0 R] + /K [18 19 20 51 0 R 23 50 0 R 25 26 49 0 R 28 29] + /Pg 166 0 R >> endobj 49 0 obj << /Type /StructElem - /S /P + /S /Formula /P 48 0 R - /K [99 100 51 0 R 102 50 0 R 104] - /Pg 438 0 R + /K [27] + /Pg 166 0 R >> endobj @@ -458,9 +472,9 @@ endobj << /Type /StructElem /S /Formula - /P 49 0 R - /K [103] - /Pg 438 0 R + /P 48 0 R + /K [24] + /Pg 166 0 R >> endobj @@ -468,9 +482,9 @@ endobj << /Type /StructElem /S /Formula - /P 49 0 R - /K [101] - /Pg 438 0 R + /P 48 0 R + /K [21 22] + /Pg 166 0 R >> endobj @@ -478,9 +492,9 @@ endobj << /Type /StructElem /S /Lbl - /P 47 0 R - /K [98] - /Pg 438 0 R + /P 46 0 R + /K [17] + /Pg 166 0 R >> endobj @@ -488,7 +502,7 @@ endobj << /Type /StructElem /S /LI - /P 15 0 R + /P 8 0 R /K [59 0 R 54 0 R] >> endobj @@ -507,8 +521,8 @@ endobj /Type /StructElem /S /P /P 54 0 R - /K [87 88 58 0 R 91 92 57 0 R 94 56 0 R 96 97] - /Pg 438 0 R + /K [8 9 58 0 R 11 57 0 R 13 14 56 0 R 16] + /Pg 166 0 R >> endobj @@ -517,8 +531,8 @@ endobj /Type /StructElem /S /Formula /P 55 0 R - /K [95] - /Pg 438 0 R + /K [15] + /Pg 166 0 R >> endobj @@ -527,8 +541,8 @@ endobj /Type /StructElem /S /Formula /P 55 0 R - /K [93] - /Pg 438 0 R + /K [12] + /Pg 166 0 R >> endobj @@ -537,8 +551,8 @@ endobj /Type /StructElem /S /Formula /P 55 0 R - /K [89 90] - /Pg 438 0 R + /K [10] + /Pg 166 0 R >> endobj @@ -547,107 +561,101 @@ endobj /Type /StructElem /S /Lbl /P 53 0 R - /K [86] - /Pg 438 0 R + /K [7] + /Pg 166 0 R >> endobj 60 0 obj << /Type /StructElem - /S /P - /P 14 0 R - /K [61 0 R] + /S /LI + /P 8 0 R + /K [63 0 R 61 0 R] >> endobj 61 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 60 0 R - /K [63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85] - /Pg 438 0 R + /K [62 0 R] >> endobj 62 0 obj << /Type /StructElem - /S /L - /P 14 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [63 0 R] + /S /P + /P 61 0 R + /K [1 2 3 4 5 6] + /Pg 166 0 R >> endobj 63 0 obj << /Type /StructElem - /S /LI - /P 62 0 R - /K [68 0 R 64 0 R] + /S /Lbl + /P 60 0 R + /K [0] + /Pg 166 0 R >> endobj 64 0 obj << /Type /StructElem - /S /LBody - /P 63 0 R - /K [54 67 0 R 56 57 66 0 R 59 60 65 0 R 62] - /Pg 438 0 R + /S /LI + /P 8 0 R + /K [67 0 R 65 0 R] >> endobj 65 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 64 0 R - /K [61] - /Pg 438 0 R + /K [66 0 R] >> endobj 66 0 obj << /Type /StructElem - /S /Formula - /P 64 0 R - /K [58] - /Pg 438 0 R + /S /P + /P 65 0 R + /K [46 47 48] + /Pg 164 0 R >> endobj 67 0 obj << /Type /StructElem - /S /Formula + /S /Lbl /P 64 0 R - /K [55] - /Pg 438 0 R + /K [45] + /Pg 164 0 R >> endobj 68 0 obj << /Type /StructElem - /S /Lbl - /P 63 0 R - /K [53] - /Pg 438 0 R + /S /LI + /P 8 0 R + /K [71 0 R 69 0 R] >> endobj 69 0 obj << /Type /StructElem - /S /P - /P 14 0 R + /S /LBody + /P 68 0 R /K [70 0 R] >> endobj @@ -655,52 +663,48 @@ endobj 70 0 obj << /Type /StructElem - /S /Formula + /S /P /P 69 0 R - /K [45 46 47 48 49 50 51 52] - /Pg 438 0 R + /K [42 43 44] + /Pg 164 0 R >> endobj 71 0 obj << /Type /StructElem - /S /P - /P 14 0 R - /K [41 42 43 44] - /Pg 438 0 R + /S /Lbl + /P 68 0 R + /K [41] + /Pg 164 0 R >> endobj 72 0 obj << /Type /StructElem - /S /L - /P 14 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [73 0 R] + /S /LI + /P 8 0 R + /K [75 0 R 73 0 R] >> endobj 73 0 obj << /Type /StructElem - /S /LI + /S /LBody /P 72 0 R - /K [75 0 R 74 0 R] + /K [74 0 R] >> endobj 74 0 obj << /Type /StructElem - /S /LBody + /S /P /P 73 0 R /K [38 39 40] - /Pg 438 0 R + /Pg 164 0 R >> endobj @@ -708,29 +712,27 @@ endobj << /Type /StructElem /S /Lbl - /P 73 0 R + /P 72 0 R /K [37] - /Pg 438 0 R + /Pg 164 0 R >> endobj 76 0 obj << /Type /StructElem - /S /P - /P 14 0 R - /K [36] - /Pg 438 0 R + /S /LI + /P 8 0 R + /K [80 0 R 77 0 R] >> endobj 77 0 obj << /Type /StructElem - /S /P - /P 14 0 R - /K [35] - /Pg 438 0 R + /S /LBody + /P 76 0 R + /K [78 0 R] >> endobj @@ -738,32 +740,29 @@ endobj << /Type /StructElem /S /P - /P 14 0 R - /K [34] - /Pg 438 0 R + /P 77 0 R + /K [33 34 79 0 R 36] + /Pg 164 0 R >> endobj 79 0 obj << /Type /StructElem - /S /P - /P 14 0 R - /K [32 33] - /Pg 438 0 R + /S /Formula + /P 78 0 R + /K [35] + /Pg 164 0 R >> endobj 80 0 obj << /Type /StructElem - /S /L - /P 14 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [81 0 R] + /S /Lbl + /P 76 0 R + /K [32] + /Pg 164 0 R >> endobj @@ -771,8 +770,8 @@ endobj << /Type /StructElem /S /LI - /P 80 0 R - /K [83 0 R 82 0 R] + /P 8 0 R + /K [84 0 R 82 0 R] >> endobj @@ -781,46 +780,44 @@ endobj /Type /StructElem /S /LBody /P 81 0 R - /K [30 31] - /Pg 438 0 R + /K [83 0 R] >> endobj 83 0 obj << /Type /StructElem - /S /Lbl - /P 81 0 R - /K [29] - /Pg 438 0 R + /S /P + /P 82 0 R + /K [31] + /Pg 164 0 R >> endobj 84 0 obj << /Type /StructElem - /S /P - /P 14 0 R - /K [85 0 R 28] - /Pg 438 0 R + /S /Lbl + /P 81 0 R + /K [30] + /Pg 164 0 R >> endobj 85 0 obj << /Type /StructElem - /S /Formula - /P 84 0 R - /K [27] - /Pg 438 0 R + /S /LI + /P 8 0 R + /K [88 0 R 86 0 R] >> endobj 86 0 obj << /Type /StructElem - /S /P - /P 14 0 R + /S /LBody + /P 85 0 R /K [87 0 R] >> endobj @@ -828,23 +825,20 @@ endobj 87 0 obj << /Type /StructElem - /S /Formula + /S /P /P 86 0 R - /K [4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26] - /Pg 438 0 R + /K [28 29] + /Pg 164 0 R >> endobj 88 0 obj << /Type /StructElem - /S /L - /P 14 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [142 0 R 131 0 R 122 0 R 115 0 R 110 0 R 98 0 R 93 0 R 89 0 R] + /S /Lbl + /P 85 0 R + /K [27] + /Pg 164 0 R >> endobj @@ -852,7 +846,7 @@ endobj << /Type /StructElem /S /LI - /P 88 0 R + /P 8 0 R /K [92 0 R 90 0 R] >> endobj @@ -871,8 +865,8 @@ endobj /Type /StructElem /S /P /P 90 0 R - /K [3] - /Pg 438 0 R + /K [24 25 26] + /Pg 164 0 R >> endobj @@ -881,8 +875,8 @@ endobj /Type /StructElem /S /Lbl /P 89 0 R - /K [2] - /Pg 438 0 R + /K [23] + /Pg 164 0 R >> endobj @@ -890,8 +884,8 @@ endobj << /Type /StructElem /S /LI - /P 88 0 R - /K [97 0 R 94 0 R] + /P 8 0 R + /K [96 0 R 94 0 R] >> endobj @@ -900,7 +894,7 @@ endobj /Type /StructElem /S /LBody /P 93 0 R - /K [96 0 R 95 0 R] + /K [95 0 R] >> endobj @@ -909,70 +903,67 @@ endobj /Type /StructElem /S /P /P 94 0 R - /K [0 1] - /Pg 438 0 R + /K [21 22] + /Pg 164 0 R >> endobj 96 0 obj << /Type /StructElem - /S /P - /P 94 0 R - /K [144] - /Pg 436 0 R + /S /Lbl + /P 93 0 R + /K [20] + /Pg 164 0 R >> endobj 97 0 obj << /Type /StructElem - /S /Lbl - /P 93 0 R - /K [143] - /Pg 436 0 R + /S /LI + /P 8 0 R + /K [100 0 R 98 0 R] >> endobj 98 0 obj << /Type /StructElem - /S /LI - /P 88 0 R - /K [109 0 R 99 0 R] + /S /LBody + /P 97 0 R + /K [99 0 R] >> endobj 99 0 obj << /Type /StructElem - /S /LBody + /S /P /P 98 0 R - /K [107 0 R 106 0 R 104 0 R 102 0 R 101 0 R 100 0 R] + /K [19] + /Pg 164 0 R >> endobj 100 0 obj << /Type /StructElem - /S /Formula - /P 99 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [138 139 140 141 142] - /Pg 436 0 R + /S /Lbl + /P 97 0 R + /K [18] + /Pg 164 0 R >> endobj 101 0 obj << /Type /StructElem - /S /P - /P 99 0 R - /K [137] - /Pg 436 0 R + /S /H3 + /P 7 0 R + /T + /K [17] + /Pg 164 0 R >> endobj @@ -980,49 +971,49 @@ endobj << /Type /StructElem /S /P - /P 99 0 R - /K [133 103 0 R 136] - /Pg 436 0 R + /P 7 0 R + /K [103 0 R] >> endobj 103 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 102 0 R - /K [134 135] - /Pg 436 0 R + /K [13 14 15 16] + /Pg 164 0 R >> endobj 104 0 obj << /Type /StructElem - /S /P - /P 99 0 R - /K [129 105 0 R 131 132] - /Pg 436 0 R + /S /Table + /P 7 0 R + /K [117 0 R 111 0 R 105 0 R] >> endobj 105 0 obj << /Type /StructElem - /S /Formula + /S /TR /P 104 0 R - /K [130] - /Pg 436 0 R + /K [108 0 R 106 0 R] >> endobj 106 0 obj << /Type /StructElem - /S /P - /P 99 0 R - /K [128] - /Pg 436 0 R + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [107 0 R] >> endobj @@ -1030,57 +1021,64 @@ endobj << /Type /StructElem /S /P - /P 99 0 R - /K [124 125 108 0 R 127] - /Pg 436 0 R + /P 106 0 R + /K [12] + /Pg 164 0 R >> endobj 108 0 obj << /Type /StructElem - /S /Formula - /P 107 0 R - /K [126] - /Pg 436 0 R + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [109 0 R] >> endobj 109 0 obj << /Type /StructElem - /S /Lbl - /P 98 0 R - /K [123] - /Pg 436 0 R + /S /P + /P 108 0 R + /K [10 110 0 R] + /Pg 164 0 R >> endobj 110 0 obj << /Type /StructElem - /S /LI - /P 88 0 R - /K [114 0 R 111 0 R] + /S /Em + /P 109 0 R + /K [11] + /Pg 164 0 R >> endobj 111 0 obj << /Type /StructElem - /S /LBody - /P 110 0 R - /K [113 0 R 112 0 R] + /S /TR + /P 104 0 R + /K [114 0 R 112 0 R] >> endobj 112 0 obj << /Type /StructElem - /S /P + /S /TD /P 111 0 R - /K [121 122] - /Pg 436 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [113 0 R] >> endobj @@ -1088,57 +1086,64 @@ endobj << /Type /StructElem /S /P - /P 111 0 R - /K [120] - /Pg 436 0 R + /P 112 0 R + /K [9] + /Pg 164 0 R >> endobj 114 0 obj << /Type /StructElem - /S /Lbl - /P 110 0 R - /K [119] - /Pg 436 0 R + /S /TD + /P 111 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [115 0 R] >> endobj 115 0 obj << /Type /StructElem - /S /LI - /P 88 0 R - /K [121 0 R 116 0 R] + /S /P + /P 114 0 R + /K [7 116 0 R] + /Pg 164 0 R >> endobj 116 0 obj << /Type /StructElem - /S /LBody + /S /Em /P 115 0 R - /K [120 0 R 119 0 R 117 0 R] + /K [8] + /Pg 164 0 R >> endobj 117 0 obj << /Type /StructElem - /S /P - /P 116 0 R - /K [115 116 118 0 R 118] - /Pg 436 0 R + /S /TR + /P 104 0 R + /K [120 0 R 118 0 R] >> endobj 118 0 obj << /Type /StructElem - /S /Formula + /S /TD /P 117 0 R - /K [117] - /Pg 436 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [119 0 R] >> endobj @@ -1146,3339 +1151,154 @@ endobj << /Type /StructElem /S /P - /P 116 0 R - /K [113 114] - /Pg 436 0 R + /P 118 0 R + /K [6] + /Pg 164 0 R >> endobj 120 0 obj << /Type /StructElem - /S /P - /P 116 0 R - /K [111 112] - /Pg 436 0 R + /S /TD + /P 117 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [121 0 R] >> endobj 121 0 obj << /Type /StructElem - /S /Lbl - /P 115 0 R - /K [110] - /Pg 436 0 R + /S /P + /P 120 0 R + /K [4 122 0 R] + /Pg 164 0 R >> endobj 122 0 obj << /Type /StructElem - /S /LI - /P 88 0 R - /K [130 0 R 123 0 R] + /S /Em + /P 121 0 R + /K [5] + /Pg 164 0 R >> endobj 123 0 obj << /Type /StructElem - /S /LBody - /P 122 0 R - /K [129 0 R 128 0 R 126 0 R 125 0 R 124 0 R] + /S /Table + /P 7 0 R + /K [124 0 R] >> endobj 124 0 obj << /Type /StructElem - /S /P + /S /TR /P 123 0 R - /K [107 108 109] - /Pg 436 0 R + /K [127 0 R 125 0 R] >> endobj 125 0 obj << /Type /StructElem - /S /P - /P 123 0 R - /K [105 106] - /Pg 436 0 R + /S /TD + /P 124 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [126 0 R] >> endobj 126 0 obj << /Type /StructElem - /S /P - /P 123 0 R - /K [102 127 0 R 104] - /Pg 436 0 R + /S /Figure + /P 125 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [3] + /Pg 164 0 R >> endobj 127 0 obj << /Type /StructElem - /S /Formula - /P 126 0 R - /K [103] - /Pg 436 0 R + /S /TD + /P 124 0 R + /A [<< + /O /Table + /Headers [] + >>] + /K [128 0 R] >> endobj 128 0 obj << /Type /StructElem - /S /P - /P 123 0 R - /K [99 100 101] - /Pg 436 0 R + /S /Strong + /P 127 0 R + /K [0 1 2] + /Pg 164 0 R >> endobj 129 0 obj << - /Type /StructElem - /S /P - /P 123 0 R - /K [98] - /Pg 436 0 R + /Type /Font + /Subtype /Type0 + /BaseFont /KZZROJ+NewCM10-Bold-Identity-H + /Encoding /Identity-H + /DescendantFonts [130 0 R] + /ToUnicode 133 0 R >> endobj 130 0 obj -<< - /Type /StructElem - /S /Lbl - /P 122 0 R - /K [97] - /Pg 436 0 R ->> -endobj - -131 0 obj -<< - /Type /StructElem - /S /LI - /P 88 0 R - /K [141 0 R 132 0 R] ->> -endobj - -132 0 obj -<< - /Type /StructElem - /S /LBody - /P 131 0 R - /K [140 0 R 139 0 R 138 0 R 134 0 R 133 0 R] ->> -endobj - -133 0 obj -<< - /Type /StructElem - /S /Formula - /P 132 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] - /Pg 436 0 R ->> -endobj - -134 0 obj -<< - /Type /StructElem - /S /P - /P 132 0 R - /K [69 137 0 R 71 136 0 R 73 135 0 R 75] - /Pg 436 0 R ->> -endobj - -135 0 obj -<< - /Type /StructElem - /S /Formula - /P 134 0 R - /K [74] - /Pg 436 0 R ->> -endobj - -136 0 obj -<< - /Type /StructElem - /S /Formula - /P 134 0 R - /K [72] - /Pg 436 0 R ->> -endobj - -137 0 obj -<< - /Type 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#set par( - first-line-indent: ( - amount: 1.5em, - all: true - ), + //first-line-indent: ( + // amount: 1.5em, + // all: true + //), justify: true, leading: 0.52em, ) @@ -45,11 +50,15 @@ ] ] -#align(center)[= Рабочий протокол и отчет по \ лабораторной работе №4.07] +#align(center)[#text(size: 20pt)[*Рабочий протокол и отчет по \ лабораторной работе №4.07 \ \ Изучение дифракции фраунгофера на одной и многих щелях*]] + + #line(length: 100%) #line(length: 100%) +/* + === 1. Цель работы. 1. Изучение дифракции Фраунгофера на одной щели, на четырех щелях, на одномерной и двумерной дифракционных решетках. @@ -247,92 +256,33 @@ d_1 eq frac(1 dot 6.328 dot 10^(-4) dot 1000, 10) approx 63.3 "мкм" \ d_2 eq frac(1 dot 6.328 dot 10^(-4) dot 1000, 12) approx 52.7 "мкм" $ +*/ + === Контрольные вопросы. 1. В чем заключается явление дифракции? - Дифракция -- это явление огибания волнами препятствий и проникновения в область геометрической тени, а также характерное изменение распределения интенсивности света, когда волна проходит через щели, отверстия или вокруг объектов, сопоставимых по размеру с длиной волны. - 2. Объясните принцип Гюйгенса-Френеля. Приведите его математическую формулировку. - Принцип Гюйгенса–Френеля объясняет, как распространяются световые волны и как при этом возникает интерференция и дифракция. - - Каждая точка волнового фронта действует как источник вторичных сферических волн. Новый волновой фронт в следующий момент времени -- это огибающая всех вторичных волн, но вклад каждой точки складывается с учётом: амплитуды, фазы, расстояния до точки наблюдения, угла распространения. - - Поле в точке наблюдения $P$ определяется суперпозицией вкладов от всех точек $S$ на поверхности $Sigma$: - - $ - U(P) eq integral.double_Sigma U(S) K frac(e^(i k r), r) cos theta d S - $ - 3. При каких условиях происходит дифракция Френеля? Дифракция Фраунгофера? - Дифракция Френеля происходит тогда, когда источник света и/или экран находятся на конечном расстоянии от препятствия. Волновые фронты сферические, расстояния -- малые, геометрия -- неупрощённая. - - Условия: ближний источник, небольшое $L$, экран недалеко, волна не успевает превратиться в плоскую. - - Дифракция Фраунгофера -- это предельный случай, когда волновые фронты можно считать плоскими, а лучи -- параллельными. - Система сильно упрощается. - - Условия: источник находится очень далеко или перед препятствием стоит линза, создающая плоский фронт, экран также очень далеко или используется линза для наблюдения в фокальной плоскости, расстояния большие, фронты -- плоские. - 4. Почему дифракционные полосы нельзя наблюдать при протяженном или при немонохроматическом источнике света? - Протяженный источник дает много разных направлений света, каждая точка источника создаёт свою дифракционную картину. Эти картины смещены и накладываются, полосы размываются и исчезают. - - Немонохроматический источник. Разные длины волн дают максимумы в разных местах. Картины для разных $lambda$ накладываются, тёмные полосы заполняются светом, контраст пропадает. - 5. Каким способом можно получить узкий параллельный пучок света? - Узкий параллельный пучок получают с коллиматором: источник, щель, линза, установленная так, чтобы щель находилась в её фокусе. Тогда выходящие лучи становятся почти параллельными. 6. Как получить без вычислений соотношение, определяющее направление на первый минимум при дифракции на щели $b$? - - По принципу Гюйгенса–Френеля: - Разделяем щель ширины $b$ на две половины. В направлении, где получится первый минимум, волны от двух половин должны гасить друг друга -- то есть приходить в противофазе. - - Это означает, что разность хода между краями половин равна $lambda/2$. - - Отсюда следует условие первого минимума: - - $ - b sin theta = lambda - $ - 7. Какой вид имеет дифракционная картина при наклонном падении плоской волны на щель? - Дифракционная картина смещается в сторону наклона: максимум и минимумы перемещаются, а сама форма остаётся такой же. - 8. Объясните распределение интенсивности в дифракционной картине Фраунгофера от щели? -$I(phi) = I_0(sin(pi b/lambda sin phi)/(pi b/lambda sin phi))^2$ - - -$phi$ - угол дифракции 9. Как изменится интерференционная картина, если: а) изменить ширину щели? б) увеличить число щелей? в) уменьшить расстояние между ними? г) изменить ширину всех щелей? -а) если расширить - дифракционный максимум сузится, интерференционные полосы будут уже и ярче, если сузить - наоборот - -б) увеличится резкость и интенсивность - -в) интерференционная картина растянется на экране - -г) аналогично пункту а - 10. Объясните на основе принципа Гюйгенса–Френеля, почему при дифракции на одной щели существуют углы дифракции, для которых интенсивность света равна нулю? Получить выражение для определения значений таких углов. -Интенсивность света становится равной нулю, потому что векторы напряженности электрического поля лю -бых двух соседних лучей, имея одинаковые модули, колеблются в -противофазе, поэтому их геометрическая сумма равна нулю в любой момент времени. Сведенные в одну точку любые два соседних -луча «гасят» друг друга, имеют результирующую интенсивность -равную нулю. - -$b sin phi_m = ±m lambda$ - 11. Найти угловое распределение интенсивности света при фраунгоферовой дифракции на решетке из $N$ щелей с периодом $d$ при условии, что световые лучи падают на решетку нормально, а ширина щели равна $b$. -$I_N = I_phi (sin(pi N d / lambda sin phi) / (pi N d / lambda sin phi))^2$ 12. Параллельный пучок монохроматического света падает нормально на дифракционную решетку с заданной полной шириной ее штрихованной поверхности. При каком значении отношения $b/d$ ширины щели $b$ к периоду решетки $d$ интенсивность главных дифракционных максимумов второго порядка будет максимальна? 13. Найти угловое распределение дифракционных максимумов придифракции на решетке, период которой равен $d$, а ширина щели равна $b$.