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I Made Scientific Magic Chapter 69
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I Made Scientific Magic Chapter 69

  Chapter 69 How many Mathematical Olympiad questions have you done to achieve today's achievement (read more)

  Lynn's two short sentences knocked Ai Luo from heaven to hell, and the students present couldn't help shivering,

"The Mathematical Olympiad is an extremely precise course. We need to find the rules from a large amount of extremely complicated data calculations, and then summarize them into corresponding formulas, so as to simplify the algorithm and improve the efficiency of the entire calculation." Lynn looked around the classroom. Everyone in the room paused and spoke again.

"Of course the law summarized by Eloke is not wrong, but the scope of application is too small. Since the exponential increase in the grid can be doubled, it can also be three times, five times, or ten times! In this way, the law will change. It doesn't apply anymore..."

   "And this exponential summation formula is applicable to all eligible exponential increases!" Lynn snapped his fingers, and under the surge of magic power, the complicated formula appeared in front of everyone again.

  q≠1, Sn=a1(1-q^n)/(1-q)

Jonny, Peirce and the others stared at the so-called exponent summation formula, pondered for a while, and then picked up the quills to calculate, listed the number series of multiples of two, three, and four, looked for the rules, and then tried to combine They are substituted into this formula.

  According to Ellok's previous summary, and deriving through q≠1, Peirce quickly realized that this symbol should refer to the multiple of the increase, but why use one to subtract?

Peirce bit his finger, substituting the initial double-increasing square game into it, ignoring the following (1-q), and directly performing calculations, he found that it was completely feasible, but the numbers obtained were just the opposite. is negative.

   That is to say, the role of the following formula is to convert negative numbers into positive numbers?

  But if it is replaced by a 3-fold exponential growth, the amount is completely wrong...

  Pierce's brain was running fast, and he had vaguely grasped the answer, almost, almost!

   But what exactly is it?

  In the entire classroom, there are many people who are as immersed in the problem as Pierce, or pulling their hair, or scratching their ears, but no one chooses to give up.

  Is the learning atmosphere of Iyeta Magic Academy so strong?

  Lin En is somewhat strange, these people love learning too much...

  Most of the class passed quickly, just when Lynn felt that there would be no more results today, he raised one hand high.

   "Professor Lynn, I have some ideas!"

   It was Johnny who spoke. After receiving the instruction, the girl stood up and spoke. "A1 in the summation formula should refer to the number placed in the first square, q refers to the multiple, and n corresponds to the number of squares, right? Professor?"

   "Approximately correct, after class, you can go to the gate of the academy to collect your reward!" Lin En nodded and responded, although Jonny's expression was very general, it was indeed accurate.

  Pierce on the side couldn't help beating his chest and stamping his feet. After Jonny reminded him, he quickly understood why, and it was almost a little bit, he was about to untie it soon!

After waving Jonny to sit down, Lynn explained to the apprentices present what is called a geometric sequence, its general terms, summation formula, and how each formula is deduced .

The wizard apprentices below all picked up the quills very seriously, and wrote down every word Lynn said on the page, and then tried to change the first item and the multiple to verify repeatedly, and the desk was soon full of All kinds of manuscript paper…

   It has to be said that with the general term formula and summation formula, the calculation speed is several times faster, and the more complex the calculation formula, the faster the improvement.

  Looking at these students who were more active in solving the questions one by one, Lynn couldn't help but sigh, it's too easy for him to be a professor!

  If this is the case in all federal schools, why worry about the lack of technology?

  The second Mathematics Olympiad class was over soon, and Ai Luoke and others left the classroom unsatisfied, still discussing the derivation of the summation formula...

   "Jonny, from last night to now, how much has the magic power you can control increased?" A black-haired witch apprentice caught up, patted Jonny on the shoulder, and asked curiously.

   "About 10%?" The silver-gray-haired girl thought for a while and replied casually.

   "That's a little more than me." The black-haired apprentice witch curled her lips, but she didn't show any envy.

  According to rumors, Eloque spent a night without sleep, and when he woke up the next day, he found that his mana that he could control had increased by about 20%. It was precisely because of this news that the entire Iyeta Magic Academy was detonated.

  So this morning, as long as the wizard apprentices who had no class came, and wanted to hear what kind of magical power this so-called Olympiad class had, she was naturally no exception.

  The conclusion is also obvious. Complex and tedious Mathematical Mathematical operations can effectively exercise their brain power. This process of logical derivation, finding and deciphering digital laws is also interesting, at least more interesting than boring meditation.

  Jonny didn't pay attention to the words of the black-haired witch. He glanced back in the direction of the classroom and thought to himself, how many Olympiad questions did Lin En do in the [Secret Law Society] in the past six months to achieve today's achievement...

   "Doing math problems can actually improve the wizard's control over magic power?"

   Lynn certainly heard the voices of the students discussing clearly, but at the same time he was somewhat surprised.

   But thinking about it carefully, it seems normal. The reason why his spiritual connection with the brain will greatly increase his strength is precisely because the overload mode has greatly enhanced his computing power, or mental power.

   This is extremely important for wizards, because the amount of magic power they can control is closely related to the strength of the wizard's own spiritual power. What makes Lynn feel a little helpless is that this happens to be his blind spot in knowledge.

  At least the process of forming a spell slot is a bit like practicing an action repeatedly to form muscle memory.

For example, pick up a wine glass from the table and drink it. If it is done by artificial intelligence, it needs to judge the distance first, calculate the angle and strength of holding the water glass, and then analyze the most natural arc of picking up the water glass and handing it to the mouth. .

  Such a complicated process can be completed in an instant under the control of the subconscious, without any hindrance, and the same is true for the spell slot. After a long period of practice, a single thought can release extremely complicated magic.

   There is only a premise, that is, the wizard has strong mental power and can provide enough computing power, otherwise the process of casting the spell will be prolonged, thus revealing flaws.

  Thinking of this, Lin En rubbed his chin, wondering if he should come up with a few high-level math problems for himself to do the math...

  Maybe it is really useful?

  (end of this chapter)

Chapter end

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Chapter 690
Chapter 689
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Chapter 687
Chapter 686
Chapter 685
Chapter 684
Chapter 683
Chapter 682
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Chapter 680
Chapter 679
Chapter 678
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Chapter 676
Chapter 675
Chapter 674
Chapter 673
Chapter 672
Chapter 671
Chapter 670
Chapter 669
Chapter 668
Chapter 667
Chapter 666
Chapter 665
Chapter 664
Chapter 663
Chapter 662
Chapter 661
Chapter 660
Chapter 659
Chapter 658
Chapter 657
Chapter 656
Chapter 655
Chapter 654
Chapter 653
Chapter 652
Chapter 651
Chapter 650
Chapter 649
Chapter 648
Chapter 647
Chapter 646
Chapter 645
Chapter 644
Chapter 643
Chapter 642
Chapter 641
Chapter 640
Chapter 639
Chapter 638
Chapter 637
Chapter 636
Chapter 635
Chapter 634
Chapter 633
Chapter 632
Chapter 631
Chapter 630
Chapter 629
Chapter 628
Chapter 627
Chapter 626
Chapter 625
Chapter 624
Chapter 623
Chapter 622
Chapter 621
Chapter 620
Chapter 619
Chapter 618
Chapter 617
Chapter 616
Chapter 615
Chapter 614
Chapter 613
Chapter 612
Chapter 611
Chapter 610
Chapter 609
Chapter 608
Chapter 607
Chapter 606
Chapter 605
Chapter 604
Chapter 603
Chapter 602
Chapter 601
Chapter 600
Chapter 599
Chapter 598
Chapter 597
Chapter 596
Chapter 595
Chapter 594
Chapter 593
Chapter 592
Chapter 591
Chapter 590
Chapter 589
Chapter 588
Chapter 587
Chapter 586
Chapter 585
Chapter 584
Chapter 583
Chapter 582
Chapter 581
Chapter 580
Chapter 579
Chapter 578
Chapter 577
Chapter 576
Chapter 575
Chapter 574
Chapter 573
Chapter 572
Chapter 571
Chapter 570
Chapter 569
Chapter 568
Chapter 567
Chapter 566
Chapter 565
Chapter 564
Chapter 563
Chapter 562
Chapter 561
Chapter 560
Chapter 559
Chapter 558
Chapter 557
Chapter 556
Chapter 555
Chapter 554
Chapter 553
Chapter 552
Chapter 551
Chapter 550
Chapter 549
Chapter 548
Chapter 547
Chapter 546
Chapter 545
Chapter 544
Chapter 543
Chapter 542
Chapter 541
Chapter 540
Chapter 539
Chapter 538
Chapter 537
Chapter 536
Chapter 535
Chapter 534
Chapter 533
Chapter 532
Chapter 531
Chapter 530
Chapter 529
Chapter 528
Chapter 527
Chapter 526
Chapter 525
Chapter 524
Chapter 523
Chapter 522
Chapter 521
Chapter 520
Chapter 519
Chapter 518
Chapter 517
Chapter 516
Chapter 515
Chapter 514
Chapter 513
Chapter 512
Chapter 511
Chapter 510
Chapter 509
Chapter 508
Chapter 507
Chapter 506
Chapter 505
Chapter 504
Chapter 503
Chapter 502
Chapter 501
Chapter 500
Chapter 499
Chapter 498
Chapter 497
Chapter 496
Chapter 495
Chapter 494
Chapter 492
Chapter 491
Chapter 490
Chapter 489
Chapter 488
Chapter 487
Chapter 486
Chapter 485
Chapter 484
Chapter 483
Chapter 482
Chapter 481
Chapter 480
Chapter 479
Chapter 478
Chapter 477
Chapter 476
Chapter 475
Chapter 474
Chapter 473
Chapter 472
Chapter 471
Chapter 470
Chapter 469
Chapter 468
Chapter 467
Chapter 466
Chapter 465
Chapter 464
Chapter 463
Chapter 462
Chapter 461
Chapter 460
Chapter 459
Chapter 458
Chapter 457
Chapter 456
Chapter 455
Chapter 454
Chapter 453
Chapter 452
Chapter 451
Chapter 450
Chapter 449
Chapter 448
Chapter 447
Chapter 446
Chapter 445
Chapter 444
Chapter 443
Chapter 442
Chapter 441
Chapter 440
Chapter 439
Chapter 438
Chapter 437
Chapter 436
Chapter 435
Chapter 434
Chapter 433
Chapter 432
Chapter 431
Chapter 430
Chapter 429
Chapter 428
Chapter 427
Chapter 426
Chapter 425
Chapter 424
Chapter 423
Chapter 422
Chapter 421
Chapter 420
Chapter 419
Chapter 418
Chapter 417
Chapter 416
Chapter 415
Chapter 414
Chapter 413
Chapter 412
Chapter 411
Chapter 410
Chapter 409
Chapter 408
Chapter 407
Chapter 406
Chapter 405
Chapter 404
Chapter 403
Chapter 402
Chapter 401
Chapter 400
Chapter 399
Chapter 398
Chapter 397
Chapter 396
Chapter 395
Chapter 394
Chapter 393
Chapter 392
Chapter 391
Chapter 390
Chapter 389
Chapter 388
Chapter 387
Chapter 386
Chapter 385
Chapter 384
Chapter 383
Chapter 382
Chapter 381
Chapter 380
Chapter 379
Chapter 378
Chapter 377
Chapter 376
Chapter 375
Chapter 374
Chapter 373
Chapter 372
Chapter 371
Chapter 370
Chapter 369
Chapter 368
Chapter 367
Chapter 366
Chapter 365
Chapter 364
Chapter 363
Chapter 362
Chapter 361
Chapter 360
Chapter 359
Chapter 358
Chapter 357
Chapter 356
Chapter 355
Chapter 354
Chapter 353
Chapter 352
Chapter 351
Chapter 350
Chapter 349
Chapter 348
Chapter 347
Chapter 346
Chapter 345
Chapter 344
Chapter 343
Chapter 342
Chapter 341
Chapter 340
Chapter 339
Chapter 338
Chapter 337
Chapter 336
Chapter 335
Chapter 334
Chapter 333
Chapter 332
Chapter 331
Chapter 330
Chapter 329
Chapter 328
Chapter 327
Chapter 326
Chapter 325
Chapter 324
Chapter 323
Chapter 322
Chapter 321
Chapter 320
Chapter 319
Chapter 318
Chapter 317
Chapter 316
Chapter 315
Chapter 314
Chapter 313
Chapter 312
Chapter 311
Chapter 310
Chapter 309
Chapter 308
Chapter 307
Chapter 306
Chapter 305
Chapter 304
Chapter 303
Chapter 302
Chapter 301
Chapter 300
Chapter 299
Chapter 298
Chapter 297
Chapter 296
Chapter 295
Chapter 294
Chapter 293
Chapter 292
Chapter 291
Chapter 290
Chapter 289
Chapter 288
Chapter 287
Chapter 286
Chapter 285
Chapter 284
Chapter 283
Chapter 282
Chapter 281
Chapter 280
Chapter 279
Chapter 278
Chapter 277
Chapter 276
Chapter 275
Chapter 274
Chapter 273
Chapter 272
Chapter 271
Chapter 270
Chapter 269
Chapter 268
Chapter 267
Chapter 266
Chapter 265
Chapter 264
Chapter 263
Chapter 262
Chapter 261
Chapter 260
Chapter 259
Chapter 258
Chapter 257
Chapter 256
Chapter 255
Chapter 254
Chapter 253
Chapter 252
Chapter 251
Chapter 250
Chapter 249
Chapter 248
Chapter 247
Chapter 246
Chapter 245
Chapter 244
Chapter 243
Chapter 242
Chapter 241
Chapter 240
Chapter 239
Chapter 238
Chapter 237
Chapter 236
Chapter 235
Chapter 234
Chapter 233
Chapter 232
Chapter 231
Chapter 230
Chapter 229
Chapter 228
Chapter 226
Chapter 225
Chapter 224
Chapter 222
Chapter 221
Chapter 220
Chapter 219
Chapter 218
Chapter 217
Chapter 216
Chapter 215
Chapter 214
Chapter 213
Chapter 212
Chapter 211
Chapter 210
Chapter 209
Chapter 207
Chapter 206
Chapter 204
Chapter 203
Chapter 202
Chapter 201
Chapter 200
Chapter 199
Chapter 198
Chapter 197
Chapter 196
Chapter 195
Chapter 194
Chapter 193
Chapter 192
Chapter 191
Chapter 190
Chapter 189
Chapter 188
Chapter 187
Chapter 186
Chapter 185
Chapter 184
Chapter 183
Chapter 182
Chapter 181
Chapter 180
Chapter 179
Chapter 178
Chapter 177
Chapter 176
Chapter 175
Chapter 174
Chapter 173
Chapter 172
Chapter 171
Chapter 170
Chapter 169
Chapter 168
Chapter 167
Chapter 166
Chapter 165
Chapter 164
Chapter 163
Chapter 162
Chapter 161
Chapter 160
Chapter 159
Chapter 158
Chapter 157
Chapter 156
Chapter 155
Chapter 154
Chapter 153
Chapter 152
Chapter 151
Chapter 150
Chapter 149
Chapter 148
Chapter 147
Chapter 146
Chapter 145
Chapter 144
Chapter 143
Chapter 142
Chapter 141
Chapter 140
Chapter 139
Chapter 138
Chapter 137
Chapter 136
Chapter 135
Chapter 134
Chapter 133
Chapter 132
Chapter 131
Chapter 130
Chapter 129
Chapter 128
Chapter 127
Chapter 126
Chapter 125
Chapter 124
Chapter 123
Chapter 122
Chapter 121
Chapter 120
Chapter 119
Chapter 118
Chapter 117
Chapter 116
Chapter 115
Chapter 114
Chapter 113
Chapter 112
Chapter 111
Chapter 110
Chapter 109
Chapter 108
Chapter 107
Chapter 106
Chapter 105
Chapter 104
Chapter 103
Chapter 102
Chapter 101
Chapter 100
Chapter 99
Chapter 98
Chapter 97
Chapter 96
Chapter 95
Chapter 94
Chapter 93
Chapter 92
Chapter 91
Chapter 90
Chapter 89
Chapter 88
Chapter 87
Chapter 86
Chapter 85
Chapter 84
Chapter 83
Chapter 82
Chapter 81
Chapter 80
Chapter 79
Chapter 78
Chapter 77
Chapter 76
Chapter 75
Chapter 74
Chapter 73
Chapter 72
Chapter 71
Chapter 70
Chapter 69
Chapter 68
Chapter 67
Chapter 66
Chapter 65
Chapter 64
Chapter 63
Chapter 62
Chapter 61
Chapter 60
Chapter 59
Chapter 58
Chapter 57
Chapter 56
Chapter 55
Chapter 54
Chapter 53
Chapter 52
Chapter 51
Chapter 50
Chapter 49
Chapter 48
Chapter 47
Chapter 46
Chapter 45
Chapter 44
Chapter 43
Chapter 42
Chapter 41
Chapter 40
Chapter 39
Chapter 38
Chapter 37
Chapter 36
Chapter 35
Chapter 34
Chapter 33
Chapter 32
Chapter 31
Chapter 30
Chapter 29
Chapter 28
Chapter 27
Chapter 26
Chapter 25
Chapter 24
Chapter 23
Chapter 22
Chapter 21
Chapter 20
Chapter 19
Chapter 18
Chapter 17
Chapter 16
Chapter 15
Chapter 14
Chapter 13
Chapter 12
Chapter 11
Chapter 10
Chapter 9
Chapter 8
Chapter 7
Chapter 6
Chapter 5
Chapter 4
Chapter 3
Chapter 2
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