diff --git a/course2/sem3/exam/assets/2.png b/course2/sem3/exam/assets/2.png new file mode 100644 index 0000000..5322d7d Binary files /dev/null and b/course2/sem3/exam/assets/2.png differ diff --git a/course2/sem3/exam/scripts/2.py b/course2/sem3/exam/scripts/2.py new file mode 100644 index 0000000..3e2bc2c --- /dev/null +++ b/course2/sem3/exam/scripts/2.py @@ -0,0 +1,18 @@ +import numpy as np +import matplotlib.pyplot as plt + +E = 1.0 +r = 1.0 + +R = np.linspace(0.001, 5, 500) + +P = E**2 * R / (R + r)**2 + +plt.plot(R, P) +plt.xlabel("R") +plt.ylabel("P(R)") +plt.grid(True) + +plt.savefig("2.png", dpi=300, bbox_inches="tight") +plt.show() + diff --git a/course2/sem3/exam/tasks.pdf b/course2/sem3/exam/tasks.pdf index 69470ef..7dc5b5b 100644 --- a/course2/sem3/exam/tasks.pdf +++ b/course2/sem3/exam/tasks.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 4 - /Kids [253 0 R 255 0 R 257 0 R 259 0 R] + /Count 9 + /Kids [472 0 R 474 0 R 476 0 R 478 0 R 480 0 R 482 0 R 484 0 R 486 0 R 488 0 R] >> endobj @@ -13,8 +13,8 @@ endobj << /Type /Outlines /First 3 0 R - /Last 9 0 R - /Count 7 + /Last 14 0 R + /Count 12 >> endobj @@ -23,7 +23,7 @@ endobj /Parent 2 0 R /Next 4 0 R /Title - /Dest 246 0 R + /Dest 460 0 R >> endobj @@ -33,7 +33,7 @@ endobj /Next 5 0 R /Prev 3 0 R /Title - /Dest 247 0 R + /Dest 461 0 R >> endobj @@ -43,7 +43,7 @@ endobj /Next 6 0 R /Prev 4 0 R /Title - /Dest 248 0 R + /Dest 462 0 R >> endobj @@ -53,7 +53,7 @@ endobj /Next 7 0 R /Prev 5 0 R /Title - /Dest 249 0 R + /Dest 463 0 R >> endobj @@ -63,7 +63,7 @@ endobj /Next 8 0 R /Prev 6 0 R /Title - /Dest 250 0 R + /Dest 464 0 R >> endobj @@ -73,20 +73,70 @@ endobj /Next 9 0 R /Prev 7 0 R /Title - /Dest 251 0 R + /Dest 465 0 R >> endobj 9 0 obj << /Parent 2 0 R + /Next 10 0 R /Prev 8 0 R /Title - /Dest 252 0 R + /Dest 466 0 R >> endobj 10 0 obj +<< + /Parent 2 0 R + /Next 11 0 R + /Prev 9 0 R + /Title + /Dest 467 0 R +>> +endobj + +11 0 obj +<< + /Parent 2 0 R + /Next 12 0 R + /Prev 10 0 R + /Title + /Dest 468 0 R +>> +endobj + +12 0 obj +<< + /Parent 2 0 R + /Next 13 0 R + /Prev 11 0 R + /Title + /Dest 469 0 R +>> +endobj + +13 0 obj +<< + /Parent 2 0 R + /Next 14 0 R + /Prev 12 0 R + /Title + /Dest 470 0 R +>> +endobj + +14 0 obj +<< + /Parent 2 0 R + /Prev 13 0 R + /Title + /Dest 471 0 R +>> +endobj + +15 0 obj << /Type /StructTreeRoot /RoleMap << @@ -96,141 +146,63 @@ endobj /Strong /Span /Em /Span >> - /K [15 0 R] + /K [25 0 R] /ParentTree << - /Nums [0 11 0 R 1 12 0 R 2 13 0 R 3 14 0 R] + /Nums [0 16 0 R 1 17 0 R 2 18 0 R 3 19 0 R 4 20 0 R 5 21 0 R 6 22 0 R 7 23 0 R 8 24 0 R] >> - /ParentTreeNextKey 4 ->> -endobj - -11 0 obj -[209 0 R 211 0 R 211 0 R 209 0 R 209 0 R 210 0 R 210 0 R 209 0 R 208 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 204 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 200 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 196 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 195 0 R 192 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 191 0 R 187 0 R 186 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 181 0 R 184 0 R 181 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 183 0 R 181 0 R 182 0 R 182 0 R 181 0 R 179 0 R 180 0 R 179 0 R 179 0 R 178 0 R 177 0 R 177 0 R 173 0 R 172 0 R 172 0 R 172 0 R 172 0 R 169 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 165 0 R 164 0 R 164 0 R 164 0 R 161 0 R 160 0 R 160 0 R 160 0 R 160 0 R 156 0 R 154 0 R 154 0 R 154 0 R 155 0 R 153 0 R 153 0 R 153 0 R 153 0 R 153 0 R 152 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R] -endobj - -12 0 obj -[146 0 R 150 0 R 146 0 R 149 0 R 149 0 R 146 0 R 148 0 R 146 0 R 147 0 R 147 0 R 146 0 R 146 0 R 143 0 R 145 0 R 141 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 140 0 R 137 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 136 0 R 133 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 132 0 R 129 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 128 0 R 125 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 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 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 118 0 R 114 0 R 117 0 R 117 0 R 114 0 R 114 0 R 116 0 R 116 0 R 114 0 R 115 0 R 115 0 R 114 0 R 113 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 112 0 R 109 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 108 0 R 105 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 104 0 R 101 0 R 100 0 R 100 0 R 100 0 R 96 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 92 0 R 87 0 R 91 0 R 87 0 R 87 0 R 90 0 R 87 0 R] -endobj - -13 0 obj -[87 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 89 0 R 87 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 87 0 R 87 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 82 0 R 85 0 R 82 0 R 84 0 R 82 0 R 82 0 R 83 0 R 82 0 R 81 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 80 0 R 76 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 72 0 R 71 0 R 71 0 R 71 0 R 71 0 R 71 0 R 68 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 67 0 R 64 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 63 0 R 59 0 R 58 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 57 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 55 0 R 55 0 R 54 0 R 53 0 R 53 0 R 51 0 R 50 0 R 50 0 R 48 0 R 47 0 R 47 0 R 44 0 R 44 0 R 42 0 R 41 0 R] -endobj - -14 0 obj -[38 0 R 36 0 R 36 0 R 37 0 R 37 0 R 36 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 33 0 R 34 0 R 33 0 R 33 0 R 32 0 R 31 0 R 31 0 R 28 0 R 27 0 R 27 0 R 27 0 R 27 0 R 24 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 20 0 R 19 0 R 19 0 R 19 0 R] -endobj - -15 0 obj -<< - /Type /StructElem - /S /Document - /P 10 0 R - /K [209 0 R 205 0 R 188 0 R 186 0 R 185 0 R 181 0 R 179 0 R 174 0 R 170 0 R 157 0 R 154 0 R 153 0 R 152 0 R 151 0 R 146 0 R 142 0 R 138 0 R 121 0 R 119 0 R 118 0 R 114 0 R 97 0 R 93 0 R 87 0 R 86 0 R 82 0 R 77 0 R 73 0 R 60 0 R 58 0 R 57 0 R 56 0 R 55 0 R 45 0 R 43 0 R 39 0 R 36 0 R 35 0 R 33 0 R 16 0 R] + /ParentTreeNextKey 9 >> endobj 16 0 obj -<< - /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [29 0 R 25 0 R 21 0 R 17 0 R] ->> +[417 0 R 419 0 R 419 0 R 417 0 R 417 0 R 418 0 R 418 0 R 417 0 R 416 0 R 415 0 R 415 0 R 415 0 R 415 0 R 415 0 R 412 0 R 411 0 R 411 0 R 411 0 R 411 0 R 411 0 R 411 0 R 411 0 R 411 0 R 408 0 R 407 0 R 407 0 R 407 0 R 407 0 R 407 0 R 407 0 R 407 0 R 407 0 R 407 0 R 404 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 403 0 R 400 0 R 399 0 R 399 0 R 399 0 R 399 0 R 399 0 R 399 0 R 399 0 R 399 0 R 395 0 R 394 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 393 0 R 389 0 R 392 0 R 389 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 391 0 R 389 0 R 390 0 R 390 0 R 389 0 R 387 0 R 388 0 R 387 0 R 387 0 R 386 0 R 385 0 R 385 0 R 381 0 R 380 0 R 380 0 R 380 0 R 380 0 R 377 0 R 376 0 R 376 0 R 376 0 R 376 0 R 376 0 R 373 0 R 372 0 R 372 0 R 372 0 R 369 0 R 368 0 R 368 0 R 368 0 R 368 0 R 364 0 R 362 0 R 362 0 R 362 0 R 363 0 R 361 0 R 361 0 R 361 0 R 361 0 R 361 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] endobj 17 0 obj -<< - /Type /StructElem - /S /LI - /P 16 0 R - /K [20 0 R 18 0 R] ->> +[354 0 R 358 0 R 354 0 R 357 0 R 357 0 R 354 0 R 356 0 R 354 0 R 355 0 R 355 0 R 354 0 R 354 0 R 351 0 R 353 0 R 349 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 348 0 R 345 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 344 0 R 341 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 0 R 340 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 333 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 332 0 R 328 0 R 327 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 326 0 R 322 0 R 325 0 R 325 0 R 322 0 R 322 0 R 324 0 R 324 0 R 322 0 R 323 0 R 323 0 R 322 0 R 321 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 316 0 R 316 0 R 316 0 R 316 0 R 316 0 R 316 0 R 316 0 R 316 0 R 316 0 R 313 0 R 312 0 R 312 0 R 312 0 R 312 0 R 312 0 R 312 0 R 312 0 R 312 0 R 312 0 R 312 0 R 309 0 R 308 0 R 308 0 R 308 0 R 304 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 303 0 R 300 0 R 295 0 R 299 0 R 295 0 R 295 0 R 298 0 R 295 0 R] endobj 18 0 obj -<< - /Type /StructElem - /S /LBody - /P 17 0 R - /K [19 0 R] ->> +[295 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 297 0 R 295 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 296 0 R 295 0 R 295 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 294 0 R 290 0 R 293 0 R 290 0 R 292 0 R 290 0 R 290 0 R 291 0 R 290 0 R 289 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 288 0 R 284 0 R 283 0 R 283 0 R 283 0 R 283 0 R 283 0 R 280 0 R 279 0 R 279 0 R 279 0 R 279 0 R 279 0 R 276 0 R 275 0 R 275 0 R 275 0 R 275 0 R 275 0 R 275 0 R 272 0 R 271 0 R 271 0 R 271 0 R 271 0 R 271 0 R 271 0 R 267 0 R 266 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 265 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 264 0 R 263 0 R 263 0 R 262 0 R 261 0 R 261 0 R 259 0 R 258 0 R 258 0 R 256 0 R 255 0 R 255 0 R 252 0 R 252 0 R 250 0 R 249 0 R] endobj 19 0 obj -<< - /Type /StructElem - /S /Formula - /P 18 0 R - /K [36 37 38] - /Pg 259 0 R ->> +[246 0 R 244 0 R 244 0 R 245 0 R 245 0 R 244 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 243 0 R 241 0 R 242 0 R 241 0 R 241 0 R 240 0 R 239 0 R 239 0 R 235 0 R 234 0 R 234 0 R 234 0 R 234 0 R 231 0 R 230 0 R 230 0 R 230 0 R 230 0 R 230 0 R 227 0 R 226 0 R 226 0 R 226 0 R 223 0 R 222 0 R 222 0 R 222 0 R 222 0 R 218 0 R 216 0 R 216 0 R 216 0 R 217 0 R 215 0 R 215 0 R 215 0 R 215 0 R 215 0 R 214 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 212 0 R 212 0 R 212 0 R 211 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 210 0 R 207 0 R 206 0 R 206 0 R 206 0 R 206 0 R 206 0 R 206 0 R 206 0 R 202 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 201 0 R 198 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 194 0 R 193 0 R 193 0 R 193 0 R 193 0 R 193 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] endobj 20 0 obj -<< - /Type /StructElem - /S /Lbl - /P 17 0 R - /K [35] - /Pg 259 0 R ->> +[186 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 185 0 R 183 0 R 184 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 181 0 R 180 0 R 180 0 R 180 0 R 180 0 R 180 0 R 180 0 R 180 0 R 180 0 R 179 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 178 0 R 177 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 176 0 R 175 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 174 0 R 173 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 171 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 170 0 R 169 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 168 0 R 166 0 R 166 0 R 167 0 R 167 0 R 167 0 R 167 0 R 167 0 R 166 0 R 166 0 R 165 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R 164 0 R] endobj 21 0 obj -<< - /Type /StructElem - /S /LI - /P 16 0 R - /K [24 0 R 22 0 R] ->> +[161 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 160 0 R 157 0 R 156 0 R 156 0 R 156 0 R 156 0 R 156 0 R 156 0 R 156 0 R 152 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 148 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 147 0 R 143 0 R 142 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 141 0 R 140 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 139 0 R 138 0 R 137 0 R 137 0 R 137 0 R 137 0 R 136 0 R 135 0 R 135 0 R 135 0 R 135 0 R 135 0 R 135 0 R 135 0 R 132 0 R 134 0 R 134 0 R 132 0 R 133 0 R 133 0 R 132 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 131 0 R 130 0 R 129 0 R 129 0 R 129 0 R 129 0 R 129 0 R 128 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 127 0 R 125 0 R 126 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 124 0 R 123 0 R 122 0 R 122 0 R 122 0 R 122 0 R 122 0 R 121 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R 120 0 R] endobj 22 0 obj -<< - /Type /StructElem - /S /LBody - /P 21 0 R - /K [23 0 R] ->> +[116 0 R 119 0 R 116 0 R 116 0 R 118 0 R 116 0 R 116 0 R 117 0 R 116 0 R 115 0 R 114 0 R 113 0 R 113 0 R 113 0 R 113 0 R 113 0 R 113 0 R 111 0 R 112 0 R 111 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 110 0 R 108 0 R 109 0 R 109 0 R 109 0 R 109 0 R 107 0 R 107 0 R 107 0 R 107 0 R 107 0 R 107 0 R 107 0 R 107 0 R 107 0 R 107 0 R 105 0 R 106 0 R 106 0 R 106 0 R 105 0 R 104 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 102 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 101 0 R 100 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R 99 0 R] endobj 23 0 obj -<< - /Type /StructElem - /S /Formula - /P 22 0 R - /K [30 31 32 33 34] - /Pg 259 0 R ->> +[94 0 R 98 0 R 97 0 R 97 0 R 97 0 R 97 0 R 96 0 R 88 0 R 88 0 R 92 0 R 88 0 R 91 0 R 88 0 R 90 0 R 88 0 R 88 0 R 89 0 R 88 0 R 87 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 83 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 78 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 77 0 R 74 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 73 0 R 70 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 69 0 R 65 0 R 62 0 R 64 0 R 62 0 R 63 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 60 0 R 60 0 R 60 0 R 60 0 R 59 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R 58 0 R] endobj 24 0 obj -<< - /Type /StructElem - /S /Lbl - /P 21 0 R - /K [29] - /Pg 259 0 R ->> +[57 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 56 0 R 53 0 R 55 0 R 55 0 R 55 0 R 53 0 R 53 0 R 54 0 R 54 0 R 53 0 R 52 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 51 0 R 48 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 44 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 43 0 R 40 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 36 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 35 0 R 31 0 R 30 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 29 0 R 28 0 R] endobj 25 0 obj << /Type /StructElem - /S /LI - /P 16 0 R - /K [28 0 R 26 0 R] + /S /Document + /P 15 0 R + /K [417 0 R 413 0 R 396 0 R 394 0 R 393 0 R 389 0 R 387 0 R 382 0 R 378 0 R 365 0 R 362 0 R 361 0 R 360 0 R 359 0 R 354 0 R 350 0 R 346 0 R 329 0 R 327 0 R 326 0 R 322 0 R 305 0 R 301 0 R 295 0 R 294 0 R 290 0 R 285 0 R 281 0 R 268 0 R 266 0 R 265 0 R 264 0 R 263 0 R 253 0 R 251 0 R 247 0 R 244 0 R 243 0 R 241 0 R 236 0 R 232 0 R 219 0 R 216 0 R 215 0 R 214 0 R 213 0 R 212 0 R 203 0 R 199 0 R 195 0 R 190 0 R 188 0 R 187 0 R 186 0 R 185 0 R 183 0 R 182 0 R 181 0 R 180 0 R 179 0 R 178 0 R 177 0 R 176 0 R 175 0 R 174 0 R 173 0 R 172 0 R 171 0 R 170 0 R 169 0 R 168 0 R 166 0 R 162 0 R 153 0 R 149 0 R 144 0 R 142 0 R 141 0 R 140 0 R 139 0 R 138 0 R 137 0 R 136 0 R 135 0 R 132 0 R 131 0 R 130 0 R 129 0 R 128 0 R 127 0 R 125 0 R 124 0 R 123 0 R 122 0 R 121 0 R 120 0 R 116 0 R 114 0 R 113 0 R 111 0 R 110 0 R 108 0 R 107 0 R 105 0 R 104 0 R 103 0 R 102 0 R 101 0 R 100 0 R 99 0 R 93 0 R 88 0 R 79 0 R 75 0 R 66 0 R 62 0 R 61 0 R 59 0 R 58 0 R 57 0 R 56 0 R 53 0 R 49 0 R 32 0 R 30 0 R 29 0 R 28 0 R 26 0 R] >> endobj 26 0 obj << /Type /StructElem - /S /LBody + /S /P /P 25 0 R /K [27 0 R] >> @@ -241,77 +213,82 @@ endobj /Type /StructElem /S /Formula /P 26 0 R - /K [25 26 27 28] - /Pg 259 0 R + /K [] >> endobj 28 0 obj << /Type /StructElem - /S /Lbl + /S /P /P 25 0 R - /K [24] - /Pg 259 0 R + /K [70] + /Pg 488 0 R >> endobj 29 0 obj << /Type /StructElem - /S /LI - /P 16 0 R - /K [32 0 R 30 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [63 64 65 66 67 68 69] + /Pg 488 0 R >> endobj 30 0 obj << /Type /StructElem - /S /LBody - /P 29 0 R - /K [31 0 R] + /S /P + /P 25 0 R + /K [31 0 R 62] + /Pg 488 0 R >> endobj 31 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 30 0 R - /K [22 23] - /Pg 259 0 R + /K [61] + /Pg 488 0 R >> endobj 32 0 obj << /Type /StructElem - /S /Lbl - /P 29 0 R - /K [21] - /Pg 259 0 R + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [45 0 R 41 0 R 37 0 R 33 0 R] >> endobj 33 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [17 34 0 R 19 20] - /Pg 259 0 R + /S /LI + /P 32 0 R + /K [36 0 R 34 0 R] >> endobj 34 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 33 0 R - /K [18] - /Pg 259 0 R + /K [35 0 R] >> endobj @@ -319,136 +296,123 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [6 7 8 9 10 11 12 13 14 15 16] - /Pg 259 0 R + /P 34 0 R + /K [52 53 54 55 56 57 58 59 60] + /Pg 488 0 R >> endobj 36 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [38 0 R 1 2 37 0 R 5] - /Pg 259 0 R + /S /Lbl + /P 33 0 R + /K [51] + /Pg 488 0 R >> endobj 37 0 obj << /Type /StructElem - /S /Formula - /P 36 0 R - /K [3 4] - /Pg 259 0 R + /S /LI + /P 32 0 R + /K [40 0 R 38 0 R] >> endobj 38 0 obj << /Type /StructElem - /S /Strong - /P 36 0 R - /K [0] - /Pg 259 0 R + /S /LBody + /P 37 0 R + /K [39 0 R] >> endobj 39 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [40 0 R] + /S /Formula + /P 38 0 R + /K [46 47 48 49 50] + /Pg 488 0 R >> endobj 40 0 obj << /Type /StructElem - /S /LI - /P 39 0 R - /K [42 0 R 41 0 R] + /S /Lbl + /P 37 0 R + /K [45] + /Pg 488 0 R >> endobj 41 0 obj << /Type /StructElem - /S /LBody - /P 40 0 R - /K [177] - /Pg 257 0 R + /S /LI + /P 32 0 R + /K [44 0 R 42 0 R] >> endobj 42 0 obj << /Type /StructElem - /S /Lbl - /P 40 0 R - /K [176] - /Pg 257 0 R + /S /LBody + /P 41 0 R + /K [43 0 R] >> endobj 43 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [44 0 R] + /S /Formula + /P 42 0 R + /K [39 40 41 42 43 44] + /Pg 488 0 R >> endobj 44 0 obj << /Type /StructElem - /S /Strong - /P 43 0 R - /K [174 175] - /Pg 257 0 R + /S /Lbl + /P 41 0 R + /K [38] + /Pg 488 0 R >> endobj 45 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [52 0 R 49 0 R 46 0 R] + /S /LI + /P 32 0 R + /K [48 0 R 46 0 R] >> endobj 46 0 obj << /Type /StructElem - /S /LI + /S /LBody /P 45 0 R - /K [48 0 R 47 0 R] + /K [47 0 R] >> endobj 47 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 46 0 R - /K [172 173] - /Pg 257 0 R + /K [28 29 30 31 32 33 34 35 36 37] + /Pg 488 0 R >> endobj @@ -456,78 +420,78 @@ endobj << /Type /StructElem /S /Lbl - /P 46 0 R - /K [171] - /Pg 257 0 R + /P 45 0 R + /K [27] + /Pg 488 0 R >> endobj 49 0 obj << /Type /StructElem - /S /LI - /P 45 0 R - /K [51 0 R 50 0 R] + /S /P + /P 25 0 R + /K [52 0 R 50 0 R] >> endobj 50 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 49 0 R - /K [169 170] - /Pg 257 0 R + /K [51 0 R] >> endobj 51 0 obj << /Type /StructElem - /S /Lbl - /P 49 0 R - /K [168] - /Pg 257 0 R + /S /Strong + /P 50 0 R + /K [21 22 23 24 25 26] + /Pg 488 0 R >> endobj 52 0 obj << /Type /StructElem - /S /LI - /P 45 0 R - /K [54 0 R 53 0 R] + /S /Strong + /P 49 0 R + /K [20] + /Pg 488 0 R >> endobj 53 0 obj << /Type /StructElem - /S /LBody - /P 52 0 R - /K [166 167] - /Pg 257 0 R + /S /H3 + /P 25 0 R + /T + /K [11 55 0 R 15 16 54 0 R 19] + /Pg 488 0 R >> endobj 54 0 obj << /Type /StructElem - /S /Lbl - /P 52 0 R - /K [165] - /Pg 257 0 R + /S /Formula + /P 53 0 R + /K [17 18] + /Pg 488 0 R >> endobj 55 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [163 164] - /Pg 257 0 R + /S /Formula + /P 53 0 R + /K [12 13 14] + /Pg 488 0 R >> endobj @@ -535,78 +499,81 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [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] - /Pg 257 0 R + /K [1 2 3 4 5 6 7 8 9 10] + /Pg 488 0 R >> endobj 57 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133] - /Pg 257 0 R + /S /P + /P 25 0 R + /K [0] + /Pg 488 0 R >> endobj 58 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [59 0 R 82] - /Pg 257 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [109 110 111 112 113 114 115 116 117 118 119 120] + /Pg 486 0 R >> endobj 59 0 obj << /Type /StructElem - /S /Strong - /P 58 0 R - /K [81] - /Pg 257 0 R + /S /P + /P 25 0 R + /K [103 60 0 R 108] + /Pg 486 0 R >> endobj 60 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [69 0 R 65 0 R 61 0 R] + /S /Formula + /P 59 0 R + /K [104 105 106 107] + /Pg 486 0 R >> endobj 61 0 obj << /Type /StructElem - /S /LI - /P 60 0 R - /K [64 0 R 62 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [88 89 90 91 92 93 94 95 96 97 98 99 100 101 102] + /Pg 486 0 R >> endobj 62 0 obj << /Type /StructElem - /S /LBody - /P 61 0 R - /K [63 0 R] + /S /P + /P 25 0 R + /K [65 0 R 84 64 0 R 86 63 0 R] + /Pg 486 0 R >> endobj @@ -615,224 +582,224 @@ endobj /Type /StructElem /S /Formula /P 62 0 R - /K [75 76 77 78 79 80] - /Pg 257 0 R + /K [87] + /Pg 486 0 R >> endobj 64 0 obj << /Type /StructElem - /S /Lbl - /P 61 0 R - /K [74] - /Pg 257 0 R + /S /Formula + /P 62 0 R + /K [85] + /Pg 486 0 R >> endobj 65 0 obj << /Type /StructElem - /S /LI - /P 60 0 R - /K [68 0 R 66 0 R] + /S /Strong + /P 62 0 R + /K [83] + /Pg 486 0 R >> endobj 66 0 obj << /Type /StructElem - /S /LBody - /P 65 0 R - /K [67 0 R] + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [71 0 R 67 0 R] >> endobj 67 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 66 0 R - /K [68 69 70 71 72 73] - /Pg 257 0 R + /K [70 0 R 68 0 R] >> endobj 68 0 obj << /Type /StructElem - /S /Lbl - /P 65 0 R - /K [67] - /Pg 257 0 R + /S /LBody + /P 67 0 R + /K [69 0 R] >> endobj 69 0 obj << /Type /StructElem - /S /LI - /P 60 0 R - /K [72 0 R 70 0 R] + /S /Formula + /P 68 0 R + /K [70 71 72 73 74 75 76 77 78 79 80 81 82] + /Pg 486 0 R >> endobj 70 0 obj << /Type /StructElem - /S /LBody - /P 69 0 R - /K [71 0 R] + /S /Lbl + /P 67 0 R + /K [69] + /Pg 486 0 R >> endobj 71 0 obj << /Type /StructElem - /S /Formula - /P 70 0 R - /K [62 63 64 65 66] - /Pg 257 0 R + /S /LI + /P 66 0 R + /K [74 0 R 72 0 R] >> endobj 72 0 obj << /Type /StructElem - /S /Lbl - /P 69 0 R - /K [61] - /Pg 257 0 R + /S /LBody + /P 71 0 R + /K [73 0 R] >> endobj 73 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [76 0 R 74 0 R] + /S /Formula + /P 72 0 R + /K [56 57 58 59 60 61 62 63 64 65 66 67 68] + /Pg 486 0 R >> endobj 74 0 obj << /Type /StructElem - /S /Formula - /P 73 0 R - /K [75 0 R] + /S /Lbl + /P 71 0 R + /K [55] + /Pg 486 0 R >> endobj 75 0 obj << /Type /StructElem - /S /Strong - /P 74 0 R - /K [56 57 58 59 60] - /Pg 257 0 R + /S /P + /P 25 0 R + /K [78 0 R 76 0 R] >> endobj 76 0 obj << /Type /StructElem - /S /Strong - /P 73 0 R - /K [55] - /Pg 257 0 R + /S /Formula + /P 75 0 R + /K [77 0 R] >> endobj 77 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [78 0 R] + /S /Strong + /P 76 0 R + /K [43 44 45 46 47 48 49 50 51 52 53 54] + /Pg 486 0 R >> endobj 78 0 obj << /Type /StructElem - /S /LI - /P 77 0 R - /K [81 0 R 79 0 R] + /S /Strong + /P 75 0 R + /K [42] + /Pg 486 0 R >> endobj 79 0 obj << /Type /StructElem - /S /LBody - /P 78 0 R - /K [80 0 R] + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [84 0 R 80 0 R] >> endobj 80 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 79 0 R - /K [49 50 51 52 53 54] - /Pg 257 0 R + /K [83 0 R 81 0 R] >> endobj 81 0 obj << /Type /StructElem - /S /Lbl - /P 78 0 R - /K [48] - /Pg 257 0 R + /S /LBody + /P 80 0 R + /K [82 0 R] >> endobj 82 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [40 85 0 R 42 84 0 R 44 45 83 0 R 47] - /Pg 257 0 R + /S /Formula + /P 81 0 R + /K [30 31 32 33 34 35 36 37 38 39 40 41] + /Pg 486 0 R >> endobj 83 0 obj << /Type /StructElem - /S /Formula - /P 82 0 R - /K [46] - /Pg 257 0 R + /S /Lbl + /P 80 0 R + /K [29] + /Pg 486 0 R >> endobj 84 0 obj << /Type /StructElem - /S /Formula - /P 82 0 R - /K [43] - /Pg 257 0 R + /S /LI + /P 79 0 R + /K [87 0 R 85 0 R] >> endobj 85 0 obj << /Type /StructElem - /S /Formula - /P 82 0 R - /K [41] - /Pg 257 0 R + /S /LBody + /P 84 0 R + /K [86 0 R] >> endobj @@ -840,49 +807,30 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [26 27 28 29 30 31 32 33 34 35 36 37 38 39] - /Pg 257 0 R + /P 85 0 R + /K [19 20 21 22 23 24 25 26 27 28] + /Pg 486 0 R >> endobj 87 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [92 0 R 172 91 0 R 174 175 90 0 R 177 << - /Type /MCR - /MCID 0 - /Pg 257 0 R - >> 89 0 R << - /Type /MCR - /MCID 12 - /Pg 257 0 R - >> 88 0 R << - /Type /MCR - /MCID 24 - /Pg 257 0 R - >> << - /Type /MCR - /MCID 25 - /Pg 257 0 R - >>] - /Pg 255 0 R + /S /Lbl + /P 84 0 R + /K [18] + /Pg 486 0 R >> endobj 88 0 obj << /Type /StructElem - /S /Formula - /P 87 0 R - /K [13 14 15 16 17 18 19 20 21 22 23] - /Pg 257 0 R + /S /H3 + /P 25 0 R + /T + /K [7 8 92 0 R 10 91 0 R 12 90 0 R 14 15 89 0 R 17] + /Pg 486 0 R >> endobj @@ -890,9 +838,9 @@ endobj << /Type /StructElem /S /Formula - /P 87 0 R - /K [1 2 3 4 5 6 7 8 9 10 11] - /Pg 257 0 R + /P 88 0 R + /K [16] + /Pg 486 0 R >> endobj @@ -900,9 +848,9 @@ endobj << /Type /StructElem /S /Formula - /P 87 0 R - /K [176] - /Pg 255 0 R + /P 88 0 R + /K [13] + /Pg 486 0 R >> endobj @@ -910,202 +858,243 @@ endobj << /Type /StructElem /S /Formula - /P 87 0 R - /K [173] - /Pg 255 0 R + /P 88 0 R + /K [11] + /Pg 486 0 R >> endobj 92 0 obj << /Type /StructElem - /S /Strong - /P 87 0 R - /K [171] - /Pg 255 0 R + /S /Formula + /P 88 0 R + /K [9] + /Pg 486 0 R >> endobj 93 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [96 0 R 94 0 R] + /S /Div + /P 25 0 R + /K [95 0 R 94 0 R] >> endobj 94 0 obj << /Type /StructElem - /S /Formula + /S /Figure /P 93 0 R - /K [95 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0] + /Pg 486 0 R >> endobj 95 0 obj << /Type /StructElem - /S /Strong - /P 94 0 R - /K [161 162 163 164 165 166 167 168 169 170] - /Pg 255 0 R + /S /Caption + /P 93 0 R + /K [98 0 R 97 0 R 96 0 R] >> endobj 96 0 obj << /Type /StructElem - /S /Strong - /P 93 0 R - /K [160] - /Pg 255 0 R + /S /Span + /P 95 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [6] + /Pg 486 0 R >> endobj 97 0 obj << /Type /StructElem - /S /L - /P 15 0 R + /S /Formula + /P 95 0 R /A [<< - /O /List - /ListNumbering /Decimal + /O /Layout + /Placement /Block >>] - /K [110 0 R 106 0 R 102 0 R 98 0 R] + /K [2 3 4 5] + /Pg 486 0 R >> endobj 98 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [101 0 R 99 0 R] + /S /Span + /P 95 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [1] + /Pg 486 0 R >> endobj 99 0 obj << /Type /StructElem - /S /LBody - /P 98 0 R - /K [100 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92] + /Pg 484 0 R >> endobj 100 0 obj << /Type /StructElem - /S /Formula - /P 99 0 R - /K [157 158 159] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [63] + /Pg 484 0 R >> endobj 101 0 obj << /Type /StructElem - /S /Lbl - /P 98 0 R - /K [156] - /Pg 255 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [57 58 59 60 61 62] + /Pg 484 0 R >> endobj 102 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [105 0 R 103 0 R] + /S /P + /P 25 0 R + /K [56] + /Pg 484 0 R >> endobj 103 0 obj << /Type /StructElem - /S /LBody - /P 102 0 R - /K [104 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [50 51 52 53 54 55] + /Pg 484 0 R >> endobj 104 0 obj << /Type /StructElem - /S /Formula - /P 103 0 R - /K [146 147 148 149 150 151 152 153 154 155] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [49] + /Pg 484 0 R >> endobj 105 0 obj << /Type /StructElem - /S /Lbl - /P 102 0 R - /K [145] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [44 106 0 R 48] + /Pg 484 0 R >> endobj 106 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [109 0 R 107 0 R] + /S /Formula + /P 105 0 R + /K [45 46 47] + /Pg 484 0 R >> endobj 107 0 obj << /Type /StructElem - /S /LBody - /P 106 0 R - /K [108 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [34 35 36 37 38 39 40 41 42 43] + /Pg 484 0 R >> endobj 108 0 obj << /Type /StructElem - /S /Formula - /P 107 0 R - /K [136 137 138 139 140 141 142 143 144] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [29 109 0 R] + /Pg 484 0 R >> endobj 109 0 obj << /Type /StructElem - /S /Lbl - /P 106 0 R - /K [135] - /Pg 255 0 R + /S /Formula + /P 108 0 R + /K [30 31 32 33] + /Pg 484 0 R >> endobj 110 0 obj << /Type /StructElem - /S /LI - /P 97 0 R - /K [113 0 R 111 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [20 21 22 23 24 25 26 27 28] + /Pg 484 0 R >> endobj 111 0 obj << /Type /StructElem - /S /LBody - /P 110 0 R - /K [112 0 R] + /S /P + /P 25 0 R + /K [17 112 0 R 19] + /Pg 484 0 R >> endobj @@ -1114,49 +1103,53 @@ endobj /Type /StructElem /S /Formula /P 111 0 R - /K [126 127 128 129 130 131 132 133 134] - /Pg 255 0 R + /K [18] + /Pg 484 0 R >> endobj 113 0 obj << /Type /StructElem - /S /Lbl - /P 110 0 R - /K [125] - /Pg 255 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [11 12 13 14 15 16] + /Pg 484 0 R >> endobj 114 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [114 117 0 R 117 118 116 0 R 121 115 0 R 124] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [115 0 R 10] + /Pg 484 0 R >> endobj 115 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 114 0 R - /K [122 123] - /Pg 255 0 R + /K [9] + /Pg 484 0 R >> endobj 116 0 obj << /Type /StructElem - /S /Formula - /P 114 0 R - /K [119 120] - /Pg 255 0 R + /S /H3 + /P 25 0 R + /T + /K [0 119 0 R 2 3 118 0 R 5 6 117 0 R 8] + /Pg 484 0 R >> endobj @@ -1164,9 +1157,9 @@ endobj << /Type /StructElem /S /Formula - /P 114 0 R - /K [115 116] - /Pg 255 0 R + /P 116 0 R + /K [7] + /Pg 484 0 R >> endobj @@ -1174,64 +1167,67 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113] - /Pg 255 0 R + /P 116 0 R + /K [4] + /Pg 484 0 R >> endobj 119 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [120 0 R 94] - /Pg 255 0 R + /S /Formula + /P 116 0 R + /K [1] + /Pg 484 0 R >> endobj 120 0 obj << /Type /StructElem - /S /Strong - /P 119 0 R - /K [93] - /Pg 255 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [116 117 118 119 120 121 122] + /Pg 482 0 R >> endobj 121 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [134 0 R 130 0 R 126 0 R 122 0 R] + /S /P + /P 25 0 R + /K [115] + /Pg 482 0 R >> endobj 122 0 obj << /Type /StructElem - /S /LI - /P 121 0 R - /K [125 0 R 123 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [110 111 112 113 114] + /Pg 482 0 R >> endobj 123 0 obj << /Type /StructElem - /S /LBody - /P 122 0 R - /K [124 0 R] + /S /P + /P 25 0 R + /K [109] + /Pg 482 0 R >> endobj @@ -1239,133 +1235,163 @@ endobj << /Type /StructElem /S /Formula - /P 123 0 R - /K [78 79 80 81 82 83 84 85 86 87 88 89 90 91 92] - /Pg 255 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108] + /Pg 482 0 R >> endobj 125 0 obj << /Type /StructElem - /S /Lbl - /P 122 0 R - /K [77] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [91 126 0 R] + /Pg 482 0 R >> endobj 126 0 obj << /Type /StructElem - /S /LI - /P 121 0 R - /K [129 0 R 127 0 R] + /S /Formula + /P 125 0 R + /K [92] + /Pg 482 0 R >> endobj 127 0 obj << /Type /StructElem - /S /LBody - /P 126 0 R - /K [128 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [84 85 86 87 88 89 90] + /Pg 482 0 R >> endobj 128 0 obj << /Type /StructElem - /S /Formula - /P 127 0 R - /K [63 64 65 66 67 68 69 70 71 72 73 74 75 76] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [83] + /Pg 482 0 R >> endobj 129 0 obj << /Type /StructElem - /S /Lbl - /P 126 0 R - /K [62] - /Pg 255 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [78 79 80 81 82] + /Pg 482 0 R >> endobj 130 0 obj << /Type /StructElem - /S /LI - /P 121 0 R - /K [133 0 R 131 0 R] + /S /P + /P 25 0 R + /K [77] + /Pg 482 0 R >> endobj 131 0 obj << /Type /StructElem - /S /LBody - /P 130 0 R - /K [132 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [71 72 73 74 75 76] + /Pg 482 0 R >> endobj 132 0 obj << /Type /StructElem - /S /Formula - /P 131 0 R - /K [47 48 49 50 51 52 53 54 55 56 57 58 59 60 61] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [64 134 0 R 67 133 0 R 70] + /Pg 482 0 R >> endobj 133 0 obj << /Type /StructElem - /S /Lbl - /P 130 0 R - /K [46] - /Pg 255 0 R + /S /Formula + /P 132 0 R + /K [68 69] + /Pg 482 0 R >> endobj 134 0 obj << /Type /StructElem - /S /LI - /P 121 0 R - /K [137 0 R 135 0 R] + /S /Formula + /P 132 0 R + /K [65 66] + /Pg 482 0 R >> endobj 135 0 obj << /Type /StructElem - /S /LBody - /P 134 0 R - /K [136 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [57 58 59 60 61 62 63] + /Pg 482 0 R >> endobj 136 0 obj << /Type /StructElem - /S /Formula - /P 135 0 R - /K [31 32 33 34 35 36 37 38 39 40 41 42 43 44 45] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [56] + /Pg 482 0 R >> endobj 137 0 obj << /Type /StructElem - /S /Lbl - /P 134 0 R - /K [30] - /Pg 255 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [52 53 54 55] + /Pg 482 0 R >> endobj @@ -1373,8 +1399,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [141 0 R 139 0 R] + /P 25 0 R + /K [51] + /Pg 482 0 R >> endobj @@ -1382,59 +1409,69 @@ endobj << /Type /StructElem /S /Formula - /P 138 0 R - /K [140 0 R] + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [41 42 43 44 45 46 47 48 49 50] + /Pg 482 0 R >> endobj 140 0 obj << /Type /StructElem - /S /Strong - /P 139 0 R - /K [15 16 17 18 19 20 21 22 23 24 25 26 27 28 29] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [40] + /Pg 482 0 R >> endobj 141 0 obj << /Type /StructElem - /S /Strong - /P 138 0 R - /K [14] - /Pg 255 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [34 35 36 37 38 39] + /Pg 482 0 R >> endobj 142 0 obj << /Type /StructElem - /S /Div - /P 15 0 R - /K [144 0 R 143 0 R] + /S /P + /P 25 0 R + /K [143 0 R 33] + /Pg 482 0 R >> endobj 143 0 obj << /Type /StructElem - /S /Figure + /S /Strong /P 142 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [12] - /Pg 255 0 R + /K [32] + /Pg 482 0 R >> endobj 144 0 obj << /Type /StructElem - /S /Caption - /P 142 0 R + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] /K [145 0 R] >> endobj @@ -1442,25 +1479,18 @@ endobj 145 0 obj << /Type /StructElem - /S /Span + /S /LI /P 144 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [13] - /Pg 255 0 R + /K [148 0 R 146 0 R] >> endobj 146 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [0 150 0 R 2 149 0 R 5 148 0 R 7 147 0 R 10 11] - /Pg 255 0 R + /S /LBody + /P 145 0 R + /K [147 0 R] >> endobj @@ -1469,28 +1499,27 @@ endobj /Type /StructElem /S /Formula /P 146 0 R - /K [8 9] - /Pg 255 0 R + /K [25 26 27 28 29 30 31] + /Pg 482 0 R >> endobj 148 0 obj << /Type /StructElem - /S /Formula - /P 146 0 R - /K [6] - /Pg 255 0 R + /S /Lbl + /P 145 0 R + /K [24] + /Pg 482 0 R >> endobj 149 0 obj << /Type /StructElem - /S /Formula - /P 146 0 R - /K [3 4] - /Pg 255 0 R + /S /P + /P 25 0 R + /K [152 0 R 150 0 R] >> endobj @@ -1498,90 +1527,79 @@ endobj << /Type /StructElem /S /Formula - /P 146 0 R - /K [1] - /Pg 255 0 R + /P 149 0 R + /K [151 0 R] >> endobj 151 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [123 124 125 126 127 128 129 130] - /Pg 253 0 R + /S /Strong + /P 150 0 R + /K [17 18 19 20 21 22 23] + /Pg 482 0 R >> endobj 152 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [122] - /Pg 253 0 R + /S /Strong + /P 149 0 R + /K [16] + /Pg 482 0 R >> endobj 153 0 obj << /Type /StructElem - /S /Formula - /P 15 0 R + /S /L + /P 25 0 R /A [<< - /O /Layout - /Placement /Block + /O /List + /ListNumbering /Decimal >>] - /K [117 118 119 120 121] - /Pg 253 0 R + /K [158 0 R 154 0 R] >> endobj 154 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [156 0 R 113 114 115 155 0 R] - /Pg 253 0 R + /S /LI + /P 153 0 R + /K [157 0 R 155 0 R] >> endobj 155 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 154 0 R - /K [116] - /Pg 253 0 R + /K [156 0 R] >> endobj 156 0 obj << /Type /StructElem - /S /Strong - /P 154 0 R - /K [112] - /Pg 253 0 R + /S /Formula + /P 155 0 R + /K [9 10 11 12 13 14 15] + /Pg 482 0 R >> endobj 157 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [166 0 R 162 0 R 158 0 R] + /S /Lbl + /P 154 0 R + /K [8] + /Pg 482 0 R >> endobj @@ -1589,7 +1607,7 @@ endobj << /Type /StructElem /S /LI - /P 157 0 R + /P 153 0 R /K [161 0 R 159 0 R] >> endobj @@ -1608,8 +1626,8 @@ endobj /Type /StructElem /S /Formula /P 159 0 R - /K [108 109 110 111] - /Pg 253 0 R + /K [1 2 3 4 5 6 7] + /Pg 482 0 R >> endobj @@ -1618,16 +1636,16 @@ endobj /Type /StructElem /S /Lbl /P 158 0 R - /K [107] - /Pg 253 0 R + /K [0] + /Pg 482 0 R >> endobj 162 0 obj << /Type /StructElem - /S /LI - /P 157 0 R + /S /P + /P 25 0 R /K [165 0 R 163 0 R] >> endobj @@ -1635,7 +1653,7 @@ endobj 163 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 162 0 R /K [164 0 R] >> @@ -1644,38 +1662,41 @@ endobj 164 0 obj << /Type /StructElem - /S /Formula + /S /Strong /P 163 0 R - /K [104 105 106] - /Pg 253 0 R + /K [135 136 137 138 139 140 141] + /Pg 480 0 R >> endobj 165 0 obj << /Type /StructElem - /S /Lbl + /S /Strong /P 162 0 R - /K [103] - /Pg 253 0 R + /K [134] + /Pg 480 0 R >> endobj 166 0 obj << /Type /StructElem - /S /LI - /P 157 0 R - /K [169 0 R 167 0 R] + /S /H3 + /P 25 0 R + /T + /K [125 126 167 0 R 132 133] + /Pg 480 0 R >> endobj 167 0 obj << /Type /StructElem - /S /LBody + /S /Formula /P 166 0 R - /K [168 0 R] + /K [127 128 129 130 131] + /Pg 480 0 R >> endobj @@ -1683,119 +1704,143 @@ endobj << /Type /StructElem /S /Formula - /P 167 0 R - /K [98 99 100 101 102] - /Pg 253 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [119 120 121 122 123 124] + /Pg 480 0 R >> endobj 169 0 obj << /Type /StructElem - /S /Lbl - /P 166 0 R - /K [97] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [118] + /Pg 480 0 R >> endobj 170 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [173 0 R 171 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117] + /Pg 480 0 R >> endobj 171 0 obj << /Type /StructElem - /S /Formula - /P 170 0 R - /K [172 0 R] + /S /P + /P 25 0 R + /K [90] + /Pg 480 0 R >> endobj 172 0 obj << /Type /StructElem - /S /Strong - /P 171 0 R - /K [93 94 95 96] - /Pg 253 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [83 84 85 86 87 88 89] + /Pg 480 0 R >> endobj 173 0 obj << /Type /StructElem - /S /Strong - /P 170 0 R - /K [92] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [82] + /Pg 480 0 R >> endobj 174 0 obj << /Type /StructElem - /S /L - /P 15 0 R + /S /Formula + /P 25 0 R /A [<< - /O /List - /ListNumbering /Decimal + /O /Layout + /Placement /Block >>] - /K [175 0 R] + /K [56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81] + /Pg 480 0 R >> endobj 175 0 obj << /Type /StructElem - /S /LI - /P 174 0 R - /K [178 0 R 176 0 R] + /S /P + /P 25 0 R + /K [55] + /Pg 480 0 R >> endobj 176 0 obj << /Type /StructElem - /S /LBody - /P 175 0 R - /K [177 0 R] + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [42 43 44 45 46 47 48 49 50 51 52 53 54] + /Pg 480 0 R >> endobj 177 0 obj << /Type /StructElem - /S /Formula - /P 176 0 R - /K [90 91] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [41] + /Pg 480 0 R >> endobj 178 0 obj << /Type /StructElem - /S /Lbl - /P 175 0 R - /K [89] - /Pg 253 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [31 32 33 34 35 36 37 38 39 40] + /Pg 480 0 R >> endobj 179 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [85 180 0 R 87 88] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [30] + /Pg 480 0 R >> endobj @@ -1803,9 +1848,13 @@ endobj << /Type /StructElem /S /Formula - /P 179 0 R - /K [86] - /Pg 253 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [22 23 24 25 26 27 28 29] + /Pg 480 0 R >> endobj @@ -1813,9 +1862,9 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [72 184 0 R 74 183 0 R 81 182 0 R 84] - /Pg 253 0 R + /P 25 0 R + /K [21] + /Pg 480 0 R >> endobj @@ -1823,19 +1872,23 @@ endobj << /Type /StructElem /S /Formula - /P 181 0 R - /K [82 83] - /Pg 253 0 R + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [13 14 15 16 17 18 19 20] + /Pg 480 0 R >> endobj 183 0 obj << /Type /StructElem - /S /Formula - /P 181 0 R - /K [75 76 77 78 79 80] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [11 184 0 R] + /Pg 480 0 R >> endobj @@ -1843,9 +1896,9 @@ endobj << /Type /StructElem /S /Formula - /P 181 0 R - /K [73] - /Pg 253 0 R + /P 183 0 R + /K [12] + /Pg 480 0 R >> endobj @@ -1853,13 +1906,13 @@ endobj << /Type /StructElem /S /Formula - /P 15 0 R + /P 25 0 R /A [<< /O /Layout /Placement /Block >>] - /K [54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71] - /Pg 253 0 R + /K [1 2 3 4 5 6 7 8 9 10] + /Pg 480 0 R >> endobj @@ -1867,49 +1920,55 @@ endobj << /Type /StructElem /S /P - /P 15 0 R - /K [187 0 R 53] - /Pg 253 0 R + /P 25 0 R + /K [0] + /Pg 480 0 R >> endobj 187 0 obj << /Type /StructElem - /S /Strong - /P 186 0 R - /K [52] - /Pg 253 0 R + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [105 106 107 108 109 110 111] + /Pg 478 0 R >> endobj 188 0 obj << /Type /StructElem - /S /L - /P 15 0 R - /A [<< - /O /List - /ListNumbering /Decimal - >>] - /K [201 0 R 197 0 R 193 0 R 189 0 R] + /S /P + /P 25 0 R + /K [189 0 R 104] + /Pg 478 0 R >> endobj 189 0 obj << /Type /StructElem - /S /LI + /S /Strong /P 188 0 R - /K [192 0 R 190 0 R] + /K [103] + /Pg 478 0 R >> endobj 190 0 obj << /Type /StructElem - /S /LBody - /P 189 0 R + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] /K [191 0 R] >> endobj @@ -1917,143 +1976,145 @@ endobj 191 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 190 0 R - /K [44 45 46 47 48 49 50 51] - /Pg 253 0 R + /K [194 0 R 192 0 R] >> endobj 192 0 obj << /Type /StructElem - /S /Lbl - /P 189 0 R - /K [43] - /Pg 253 0 R + /S /LBody + /P 191 0 R + /K [193 0 R] >> endobj 193 0 obj << /Type /StructElem - /S /LI - /P 188 0 R - /K [196 0 R 194 0 R] + /S /Formula + /P 192 0 R + /K [98 99 100 101 102] + /Pg 478 0 R >> endobj 194 0 obj << /Type /StructElem - /S /LBody - /P 193 0 R - /K [195 0 R] + /S /Lbl + /P 191 0 R + /K [97] + /Pg 478 0 R >> endobj 195 0 obj << /Type /StructElem - /S /Formula - /P 194 0 R - /K [34 35 36 37 38 39 40 41 42] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [198 0 R 196 0 R] >> endobj 196 0 obj << /Type /StructElem - /S /Lbl - /P 193 0 R - /K [33] - /Pg 253 0 R + /S /Formula + /P 195 0 R + /K [197 0 R] >> endobj 197 0 obj << /Type /StructElem - /S /LI - /P 188 0 R - /K [200 0 R 198 0 R] + /S /Strong + /P 196 0 R + /K [90 91 92 93 94 95 96] + /Pg 478 0 R >> endobj 198 0 obj << /Type /StructElem - /S /LBody - /P 197 0 R - /K [199 0 R] + /S /Strong + /P 195 0 R + /K [89] + /Pg 478 0 R >> endobj 199 0 obj << /Type /StructElem - /S /Formula - /P 198 0 R - /K [24 25 26 27 28 29 30 31 32] - /Pg 253 0 R + /S /P + /P 25 0 R + /K [202 0 R 200 0 R] >> endobj 200 0 obj << /Type /StructElem - /S /Lbl - /P 197 0 R - /K [23] - /Pg 253 0 R + /S /Formula + /P 199 0 R + /K [201 0 R] >> endobj 201 0 obj << /Type /StructElem - /S /LI - /P 188 0 R - /K [204 0 R 202 0 R] + /S /Strong + /P 200 0 R + /K [83 84 85 86 87 88] + /Pg 478 0 R >> endobj 202 0 obj << /Type /StructElem - /S /LBody - /P 201 0 R - /K [203 0 R] + /S /Strong + /P 199 0 R + /K [82] + /Pg 478 0 R >> endobj 203 0 obj << /Type /StructElem - /S /Formula - /P 202 0 R - /K [15 16 17 18 19 20 21 22] - /Pg 253 0 R + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [208 0 R 204 0 R] >> endobj 204 0 obj << /Type /StructElem - /S /Lbl - /P 201 0 R - /K [14] - /Pg 253 0 R + /S /LI + /P 203 0 R + /K [207 0 R 205 0 R] >> endobj 205 0 obj << /Type /StructElem - /S /P - /P 15 0 R - /K [208 0 R 206 0 R] + /S /LBody + /P 204 0 R + /K [206 0 R] >> endobj @@ -2062,38 +2123,36 @@ endobj /Type /StructElem /S /Formula /P 205 0 R - /K [207 0 R] + /K [75 76 77 78 79 80 81] + /Pg 478 0 R >> endobj 207 0 obj << /Type /StructElem - /S /Strong - /P 206 0 R - /K [9 10 11 12 13] - /Pg 253 0 R + /S /Lbl + /P 204 0 R + /K [74] + /Pg 478 0 R >> endobj 208 0 obj << /Type /StructElem - /S /Strong - /P 205 0 R - /K [8] - /Pg 253 0 R + /S /LI + /P 203 0 R + /K [211 0 R 209 0 R] >> endobj 209 0 obj << /Type /StructElem - /S /H3 - /P 15 0 R - /T - /K [0 211 0 R 3 4 210 0 R 7] - /Pg 253 0 R + /S /LBody + /P 208 0 R + /K [210 0 R] >> endobj @@ -2102,62 +2161,2180 @@ endobj /Type /StructElem /S /Formula /P 209 0 R - /K [5 6] - /Pg 253 0 R + /K [68 69 70 71 72 73] + /Pg 478 0 R >> endobj 211 0 obj << /Type /StructElem - /S /Formula - /P 209 0 R - /K [1 2] - /Pg 253 0 R + /S /Lbl + /P 208 0 R + /K [67] + /Pg 478 0 R >> endobj 212 0 obj << - /Type /Font - /Subtype /Type0 - /BaseFont /WWYQGO+NewCM10-Bold-Identity-H - /Encoding /Identity-H - /DescendantFonts [213 0 R] - /ToUnicode 216 0 R + /Type /StructElem + /S /H3 + /P 25 0 R + /T + /K [64 65 66] + /Pg 478 0 R >> endobj 213 0 obj << - /Type /Font - /Subtype /CIDFontType0 - /BaseFont /WWYQGO+NewCM10-Bold - /CIDSystemInfo << - /Registry (Adobe) - /Ordering (Identity) - /Supplement 0 - >> - /FontDescriptor 215 0 R - /DW 0 - /W [0 0 280 1 1 901 2 2 575 3 3 544 4 4 527 5 7 639 8 8 559 9 9 639 10 10 575 11 11 607 12 12 383 13 13 510.99997 14 14 639 15 15 496 16 17 639 18 18 510.99997 19 20 639 21 21 766 22 22 575 23 23 958 24 24 862 25 25 319 26 26 575 27 27 863 28 28 800 29 29 830 30 30 639 31 31 510.99997 32 32 941 33 33 575 34 34 830 35 35 319 36 36 607 37 38 901 39 39 607 40 40 869 41 41 575 42 42 901 43 43 575 44 44 786 45 45 575] + /Type /StructElem + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [55 56 57 58 59 60 61 62 63] + /Pg 478 0 R >> endobj 214 0 obj << - /Length 14 - /Filter /FlateDecode + /Type /StructElem + /S /P + /P 25 0 R + /K [54] + /Pg 478 0 R >> -stream -x -endstream endobj 215 0 obj +<< + /Type /StructElem + /S /Formula + /P 25 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [49 50 51 52 53] + /Pg 478 0 R +>> +endobj + +216 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K [218 0 R 45 46 47 217 0 R] + /Pg 478 0 R +>> +endobj + +217 0 obj +<< + /Type /StructElem + /S /Formula + /P 216 0 R + /K [48] + /Pg 478 0 R +>> +endobj + +218 0 obj +<< + /Type /StructElem + /S /Strong + /P 216 0 R + /K [44] + /Pg 478 0 R +>> +endobj + +219 0 obj +<< + /Type /StructElem + /S /L + /P 25 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [228 0 R 224 0 R 220 0 R] +>> +endobj + +220 0 obj +<< + /Type /StructElem + /S /LI + /P 219 0 R + /K [223 0 R 221 0 R] +>> +endobj + +221 0 obj +<< + /Type /StructElem + /S /LBody + /P 220 0 R + /K [222 0 R] +>> +endobj + +222 0 obj +<< + /Type /StructElem + /S /Formula + /P 221 0 R + /K [40 41 42 43] + /Pg 478 0 R +>> +endobj + +223 0 obj +<< + /Type /StructElem + /S /Lbl + /P 220 0 R + /K [39] + /Pg 478 0 R +>> +endobj + +224 0 obj +<< + /Type /StructElem + /S /LI + /P 219 0 R + /K [227 0 R 225 0 R] +>> +endobj + +225 0 obj +<< + /Type /StructElem + /S /LBody + /P 224 0 R + /K [226 0 R] +>> +endobj + +226 0 obj +<< + /Type /StructElem + /S /Formula + /P 225 0 R + /K [36 37 38] + /Pg 478 0 R +>> +endobj + +227 0 obj +<< + /Type /StructElem + /S /Lbl + /P 224 0 R + /K [35] + /Pg 478 0 R +>> +endobj + +228 0 obj +<< + /Type /StructElem + /S /LI + /P 219 0 R + /K [231 0 R 229 0 R] +>> +endobj + +229 0 obj +<< + /Type /StructElem + /S /LBody + /P 228 0 R + /K [230 0 R] +>> +endobj + +230 0 obj +<< + /Type /StructElem + /S /Formula + /P 229 0 R + /K [30 31 32 33 34] + /Pg 478 0 R +>> +endobj + +231 0 obj +<< + /Type /StructElem + /S /Lbl + /P 228 0 R + /K [29] + /Pg 478 0 R +>> +endobj + +232 0 obj +<< + /Type /StructElem + /S /P + /P 25 0 R + /K [235 0 R 233 0 R] +>> +endobj + +233 0 obj +<< + /Type /StructElem + /S /Formula + /P 232 0 R + /K [234 0 R] +>> +endobj + +234 0 obj +<< + /Type /StructElem + /S /Strong + /P 233 0 R + /K [25 26 27 28] + /Pg 478 0 R +>> +endobj + +235 0 obj +<< + /Type /StructElem + /S /Strong + /P 232 0 R + /K [24] + /Pg 478 0 R +>> 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Y"Ap +i C7&^ ٿS=щa5=;/y.:]ί߉OE:˿f ]{c7b}c`ڃ[ڷlNJCյey(544orL|auYK}٤v|+y}iI.n.^Ȩc,*|_]ҷ9w ?Ee 4KLI"5 =sΌbAΤo$HNmr@iMbߧLM1 \t}*]O:SD<}M8)Zv:7䖝Aw>~'2U~/SܡRCx3 {+8A)&Vn:y33u_3cކEhu G2],֬ {I!GP!a; oٿ-R}U`9#` +[8 Uf3!WdB}l\CUD&4Sf G*!$'Fd37A `-d*VĽbLIZ& {Phj{}oKcr>/CFW[6Dı-fS ԃSҔgtǟ\&`mc/ttMFZ +}>EH}.[} jHRX_q㨹^R~Pjůc!]H7n@c2Bcj3sY{x:KI[`$ILvgÖ'-jl-0\I= Nhyy`]ި2-Ȼs+8Fi>>µנTSP[}79:n&ucyypЭ'7כ SDmNc YSl6BZLyBf-[ #jLZ˥1NSBPB:2TĀGiAJXƔiOg3ʂojJ#R6rPu.))-~'hSNpKf)kRNJOLO\!r+5g]Euh)@alǥxʲk/ z+8dAۅDM_Y_-A}5X +QRSKՠVH!XgHS wq*;cRtueKwh՞=rk+U@Z]/pYI>I)Ҳ | \aI?`tLLit W E<Qkvhzg\,'F]Hr67[hpăzMM) Fa+sO諄nɚNhimovC]zya!Ica9/#%o%샰B-y$T<{~;:r.֍>go}lELāX*aB"#EPKWErqQ)k.藺BMOˣ5s6;`c"dj-yq5ﾴo+Ag2\qt:JWԇΥ{EJ,)nKi.-͜N' 8qɑ6z]r V ܄Ķ۸?2T*H5Da`9 K?3q۪C?b}iWX39Ux 37,FNӇUe:b79#%Vf swusxg`XMٝOG [YAzdgp,rs7VN5FlrQ{~'Q12`$ ir2ѐjZ,l?;dQ2'^lrxU5)(3?(yYwl% .g=辜uKE XPb ;,Bz, 8K+o,OG0[N^~1ӳ+!֡RR|Ƶ8.HʩBz&}{>YK6a7-MoP:DSP,KLgKɂZvMBW2apԥwz֠VtE>5:,6uAфm"UN.S1꿚٤"F.Od_/~@ KȂ, MUp@P~(P}vlwz"?g,x/<ܚN5&Vb5g-'thk=2 +םW]}ru˧ҳ6&T\x%]VB#UQ|",_J-eF<˃ѽHIi;͐jHѤɔ}qDq>5z@#}J6ƌYŽF S D)wj˫!ÔN`Ct9miQhZv$e MUA $u2z NW2Fd6tSSR tu hoE RFc:O|o]륛z97PJpJpzHz+`QW,\#+րVϞ !-$[ +@gCLeā 8 pj_p qH!ZlM=c(3B%45V(Ǿu,SdWV\#S>E!db +.ޏ[\`XzE`qZq|K4(-h< u葐s9"jnf0rX{gHAz \pә  YИ2AC _IO +xK endstream endobj -236 0 obj +444 0 obj << /Type /Font /Subtype /Type0 - /BaseFont /MMWELY+LibertinusSerif-Regular-Identity-H + /BaseFont /YOXPTI+LibertinusSerif-Regular-Identity-H /Encoding /Identity-H - /DescendantFonts [237 0 R] - /ToUnicode 240 0 R + /DescendantFonts [445 0 R] + /ToUnicode 448 0 R >> endobj -237 0 obj +445 0 obj << /Type /Font /Subtype /CIDFontType0 - /BaseFont /MMWELY+LibertinusSerif-Regular + /BaseFont /YOXPTI+LibertinusSerif-Regular /CIDSystemInfo << /Registry (Adobe) /Ordering (Identity) /Supplement 0 >> - /FontDescriptor 239 0 R + /FontDescriptor 447 0 R /DW 0 - /W [0 0 500 1 1 479 2 2 586 3 3 515 4 4 445 5 5 519] + /W [0 0 500 1 1 479 2 2 586 3 3 515 4 4 445 5 5 519 6 6 428 7 7 504 8 8 489 9 9 481 10 10 436 11 11 586 12 12 527] >> endobj -238 0 obj +446 0 obj << - /Length 9 + /Length 10 /Filter /FlateDecode >> stream -x +x endstream endobj -239 0 obj +447 0 obj << /Type /FontDescriptor - /FontName /MMWELY+LibertinusSerif-Regular + /FontName /YOXPTI+LibertinusSerif-Regular /Flags 131078 - /FontBBox [0 -234 557 698] + /FontBBox [0 -234 557 702] /ItalicAngle 0 /Ascent 894 /Descent -246 /CapHeight 658 /StemV 95.4 - /CIDSet 238 0 R - /FontFile3 241 0 R + /CIDSet 446 0 R + /FontFile3 449 0 R >> endobj -240 0 obj +448 0 obj << - /Length 675 + /Length 774 /Type /CMap /WMode 0 >> @@ -2909,12 +5142,19 @@ end def 1 begincodespacerange <0000> endcodespacerange -5 beginbfchar +12 beginbfchar <0001> <0432> <0002> <043D> <0003> <0443> <0004> <0442> <0005> <0440> +<0006> <0441> +<0007> <043E> +<0008> <0431> +<0009> <044F> +<000A> <0437> +<000B> <043F> +<000C> <043B> endbfchar endcmap CMapName currentdict /CMap defineresource pop @@ -2925,32 +5165,145 @@ end endstream endobj -241 0 obj +449 0 obj << - /Length 1038 + /Length 1813 /Filter /FlateDecode /Subtype /CIDFontType0C >> stream -xULe߃W٭FnĀ ȖEQ͍qH9h+Q -]hB)?el%[:)P\1yM~l<>y'/$ H[l1uv̆Ζb(sY0@f514^a07Gci |H ylma/Xx< -A&oV676b;l:k3Sz*VqH,q I0_4  ͅC2DɬJKM" p,ˉb djF3g|ao76$3Y ~tV%` 2! ݔIB?'=*  pCD -|9w -Z=?/Dj;+t(jTcwk]v5qﰂij/maa??jhԫ₞/[{:WιJ Oo8Y1];UVDhmt] < RsH -gZߗV )<ͅخZJE#f"XJpx|p J&GƮw^XSk ׺GqG[N}a6]˾&F4r֝+B03h;o3zZV{K{֏&/O?3VDO.ٰ*߃UPAh.{3Ź>Vqtmڸ:j|1_{K}ZU!;}թ:9;BȵٟT2^0tAU^ZW}Ob^B0aόkH0x/LvQyS+:,Gq8-p &ȓ !;C F%./5SGjyIaiiUIun?)$\LBhY?\vMT{b?2  +?A%Aܔ6w+DXײUEr\SWUQ4ɏv;OOKߑL+ZJ4UJ}9ѠM;lNkw(Cwnr7E6EڸU c&V"f ƶ-XhֿІ&g->f.&g J0 [ke-+@E10Q7P19q0P VY,K/A?"}Q.xF +eFkș7w3T;S*6O011 SÁx[Ti)(9k+9+im[S`Farf頤RЪ*:)p3W:lzNR`U$D17! ?on3g +D#6ZKwEd]nv?a)D@` > Ȉ[Sİ>ujINn *(2_yFߥε/}[kpP>rh JQu - tPPw;gVKRyQ2 ^1`R= 5'ӊӪ2Nɠn2tF]Oƣh$:Qԙĭk>Lj/>i9V{G9[1x8eqO-,QaM悖kٍ.- Y<%!9e/~;tQ8v [&b5 UJ~x጑Ô+01JBxpp߃? 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В однородном изотропном диэлектрике, который помещен в однородное электрическое поле. 1. $"div" arrow(E) eq rho_"своб"$ 2. $"div" arrow(P) eq -rho_"своб"$ *3. $"div" arrow(D) eq rho_"своб"$* + *4. $"div" arrow(P) eq -rho_"связ"$* 5. $"div" arrow(D) eq 0$ -*Ответ*: +*Ответ*: Плотность связанных зарядов определяется формулой: +$ +rho_"связ" eq - "div" arrow(P) +$ + +Вектор электрической индукции: + +$ +arrow(D) eq epsilon_0 arrow(E) + arrow(P) +$ + +Уравнения Гаусса для поля $E$ + +$ +"div" arrow(E) eq frac(rho_"полн", epsilon_0) +$ + +где + +$ +rho_"полн"eq rho_"своб" + rho_"связ" +$ + +Возьмем дивергенцию для + +$ +arrow(D) eq epsilon_0 arrow(E) + arrow(P) +$ + +Получим + +$ +"div" arrow(D) eq epsilon_0 "div" arrow(E) + "div" arrow(P) +$ + +Подставляем в уравнение Гаусса + +$ +eq epsilon_0 dot frac(rho_"своб" + rho_"связ", epsilon_0) + "div" arrow(P) eq \ +eq rho_"своб" + rho_"связ" + "div" arrow(P) +$ + +Но мы знаем, что + +$ +rho_"связ" eq -"div" arrow(P) +$ + +то есть + +$ +"div" arrow(D) eq rho_"своб" + rho_"связ" + "div" arrow(P) eq rho_"своб" -"div" arrow(P) + "div" arrow(P) eq rho_"своб" +$ + +В результате получим + +$ +"div" arrow(D) eq rho_"своб" +$ + +#line(length: 100%) + +=== Электрическое поле проходит через границу раздела двух незаряженных диэлектриков $epsilon_2 gt epsilon_1$. Укажите все верные утверждения. На границе раздела + +*1. $D_(1 n) eq D_(2 n)$* + +2. $D_(1 n) lt D_(2 n)$ +3. $D_(1 n) gt D_(2 n)$ +*4. $D_(1 tau) lt D_(2 tau)$* + +5. $D_(1 tau) gt D_(2 tau)$ + +*Ответ*: Так как + +$ +"div" arrow(D) eq rho_"своб" +$ + +Проинтегрировав, получим + +$ +D_(2 n) - D_(1 n) eq rho_"своб" +$ + +Так как диэлектрики незаряжены + +$ +rho_"своб" eq 0 +$ + +Тогда + +$ +D_(1 n) eq D_(2 n) +$ + +Векторы $arrow(D)$ и $arrow(E)$ связаны + +$ +arrow(D) eq epsilon arrow(E) +$ + +Из уравнения + +$ +"rot" arrow(E) eq 0 +$ + +Следует + +$ +E_(1 tau) eq E_(2 tau) +$ + +Теперь умножаем на $epsilon$ + +$ +D_(1 tau) eq epsilon_1 E_tau \ +D_(2 tau) eq epsilon_2 E_tau +$ + +Так как + +$ +epsilon_2 gt epsilon_1 +$ + +то + +$ +D_(2 tau) gt D_(1 tau) +$ + +#line(length: 100%) + +=== Источник внутренним спротивлением $r$ подключен к нагрузке, сопротивлением $R$. Какой из графиков правильно качественно отражает зависимость полезной мощности от $R$. + +*Ответ*: По закону Ома для замкнутой цепи: + +$ +U eq cal(E) - I r +$ + +Домножим на $I$. + +$ +I U eq cal(E) I - I^2 r +$ + +Переставим слагаемые и воспользуемся $U eq I R$ + +$ +I cal(E) eq I^2 R + I^2 r +$ + +где $I^2 R$ -- полезная мощность. + +Полное сопротивление + +$ +R_"полн" eq R + r +$ + +Ток + +$ +I eq frac(cal(E), R + r) +$ + +Тогда полезная мощность + +$ +P(R) eq I^2 dot R eq (frac(cal(E), R + r))^2 dot R eq frac(cal(E)^2 R, (R + r)^2) +$ + +#align(center)[ + #figure( + image("assets/2.png"), + supplement: [Рис.], + caption: [График $P(R)$.] + ) +] + +#line(length: 100%) + +=== Какая формула позволяет вычислить разность потенциалов между точками $A$ и $B$, расположенными на расстоянии $l$ друг от друга в однородном электрическом поле напряженностью $E$. + +1. $phi_A - phi_B eq - E dot l$ +2. $phi_A - phi_B eq E dot l dot tg alpha$ +*3. $phi_A - phi_B eq E dot l dot cos alpha$* + +4. $phi_A - phi_B eq -E dot l dot cos alpha$ +5. $phi_A - phi_B eq -E dot l dot tg alpha$ + +*Ответ*: По определению разности потенциалов между точками $A$ и $B$ + +$ +phi_A - phi_B eq integral_A^B arrow(E) dot d arrow(l) +$ + +Так как поле однородное, то $arrow(E) eq "const"$ и интеграл упрощается до + +$ +phi_A - phi_B eq arrow(E) dot d arrow(l) +$ + +И по определению скалярного произведения + +$ +phi_A - phi_B eq E l cos alpha +$ + +#line(length: 100%) + +=== Потенциальная энергия контура с магнитным моментом $arrow(P)_m$ в поле с индукцией $arrow(B)$ равна + +*1. $- arrow(P)_m arrow(B)$* +2. $- |arrow(P)_m| |arrow(B)|$ +3. $arrow(P)_m times arrow(B)$ +4. $arrow(P)_m arrow(B)$ +5. $|arrow(P)_m| |arrow(B)|$ + +*Ответ*: Для контура с током магнитный момент: + +$ +arrow(p)_m eq I arrow(S) +$ + +Для электрического диполя в электрическом поле + +$ + +$