Real-life math

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ISBN: 9780787694227, 0-7876-9422-3, 0787694231, 078769424X

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K. Lee Lerner, Brenda Wilmoth Lerner9780787694227, 0-7876-9422-3, 0787694231, 078769424X

v.1. A-L — v.2. M-Z

Table of contents :
Cover Page……Page 1
Title Page – Volume 1……Page 3
Title Page – Volume 2……Page 4
ISBN 0787694223……Page 5
Volume 1: A–L……Page 6
Volume 2: M–Z……Page 7
Architectural Math……Page 8
Cartography……Page 9
Domain and Range……Page 10
Functions……Page 11
Inverse……Page 12
Multiplication……Page 13
Perspective……Page 14
Ratio……Page 15
Scientific Notation……Page 16
Topology……Page 17
Zero-Sum Games……Page 18
Introduction……Page 19
List of Advisors and Contributors……Page 21
ACKNOWLEDGMENTS……Page 22
A Brief History of Discovery and Development……Page 23
SPORTS AND FITNESS ADDITION……Page 25
FINANCIAL ADDITION……Page 26
POKER, PROBABILITY, AND OTHER USES OF ADDITION……Page 27
USING ADDITION TO PREDICT AND ENTERTAIN……Page 28
Potential Applications……Page 29
Where to Learn More……Page 30
Fundamental Mathematical Concepts and Terms……Page 31
A Brief History of Discovery and Development……Page 34
PERSONAL FINANCES……Page 35
COLLEGE FOOTBALL……Page 36
UPC BARCODES……Page 37
FLYING AN AIRPLANE……Page 38
SKYDIVING……Page 39
CRASH TESTS……Page 40
BUILDING SKYSCRAPERS……Page 41
BUYING LIGHT BULBS……Page 42
ART……Page 43
FINGERPRINT SCANNERS……Page 44
TELEPORTATION……Page 45
Where to Learn More……Page 46
A Brief History of Discovery and Development……Page 48
CREDIT CARD FRAUD DETECTION……Page 49
ENCRYPTION AND ENCRYPTION DEVICES……Page 50
INTERNET DATA TRANSMISSION……Page 51
MARKET OR SALES ANALYSIS……Page 52
TAX RETURNS……Page 53
Where to Learn More……Page 54
RATIO……Page 55
SCALE DRAWING……Page 56
A Brief History of Discovery and Development……Page 57
ARCHITECTURE……Page 58
USE OF GRIDS……Page 59
USE OF RECTANGLE AS “ GOLDEN RECTANGLE” AND “ GOLDEN RATIO”……Page 60
SPORTS……Page 62
TECHNOLOGY……Page 63
JEWELRY……Page 64
ARCHITECTURAL CONCEPTS IN WHEELS……Page 65
Where to Learn More……Page 66
UNITS OF AREA……Page 67
A Brief History of Discovery and Development……Page 68
DRUG DOSING……Page 69
CLOUD AND ICE AREA AND GLOBAL WARMING……Page 70
SURVEYING……Page 71
Where to Learn More……Page 72
ARITHMETIC MEAN……Page 73
THE MEDIAN……Page 74
BATTING AVERAGES……Page 75
WEIGHTED AVERAGES IN BUSINESS……Page 76
THE “AVERAGE” FAMILY……Page 77
STUDENT LOAN CONSOLIDATION……Page 78
EVOLUTION IN ACTION……Page 79
Where to Learn More……Page 80
A Brief History of Discovery and Development……Page 81
BASE 2 AND COMPUTERS……Page 82
Where to Learn More……Page 83
Overview……Page 84
ACCOUNTING……Page 85
PAYROLL……Page 87
EARNINGS……Page 88
INTEREST……Page 89
Where to Learn More……Page 90
Fundamental Mathematical Concepts and Terms……Page 91
A Brief History of Discovery and Development……Page 93
NAUTICAL NAVIGATION……Page 95
COMPOUND INTEREST……Page 96
RANDOM NUMBER GENERATOR……Page 97
BRIDGE CONSTRUCTION……Page 98
UNDERSTANDING WEATHER……Page 99
SUPERCOMPUTERS……Page 100
Where to Learn More……Page 101
Overview……Page 102
THE DERIVATIVE……Page 103
THE INTEGRAL……Page 105
MAXIMA AND MINIMA……Page 107
APPLICATIONS OF DERIVATIVES……Page 108
REAL- LIFE APPLICATIONS OF INTEGRALS……Page 113
Where to Learn More……Page 118
A Brief History of Discovery and Development……Page 119
Real-life Applications……Page 120
Where to Learn More……Page 121
MAP PROJECTION……Page 122
COORDINATE SYSTEMS……Page 125
A Brief History of Discovery and Development……Page 126
Where to Learn More……Page 127
LINE CHARTS……Page 129
BAR CHARTS……Page 131
PIE CHARTS……Page 132
PIE CHARTS……Page 133
CHOOSING THE RIGHT TYPE OF CHART FOR THE DATA……Page 134
Where to Learn More……Page 135
BINARY SYSTEM……Page 136
A Brief History of Discovery and Development……Page 137
TEXT CODE……Page 138
IP ADDRESS……Page 139
COMPRESSION……Page 140
DATA TRANSMISSION……Page 141
ENCRYPTION……Page 142
Where to Learn More……Page 143
Fundamental Mathematical Concepts and Terms……Page 144
THE INTERNATIONAL SYSTEM OF UNITS ( SI)……Page 145
A Brief History of Discovery and Development……Page 146
Conversion of Temperature Units……Page 147
WEATHER FORECASTING……Page 148
ABSOLUTE SYSTEMS……Page 149
Conversion of Distance Units……Page 150
Non-standard Units of Conversion……Page 151
Where to Learn More……Page 152
DIMENSIONS OF A COORDINATE SYSTEM……Page 153
CARTESIAN COORDINATE PLANE……Page 154
A Brief History of Discovery and Development……Page 155
PAPER MAPS OF THE WORLD……Page 156
MODERN NAVIGATION AND GPS……Page 157
RADAR SYSTEMS AND POLAR COORDINATES……Page 158
Where to Learn More……Page 159
Fundamental Mathematical Concepts and Terms……Page 160
GRADE POINT AVERAGE CALCULATIONS……Page 161
Where to Learn More……Page 162
ELECTION ANALYSIS……Page 163
CENSUS……Page 164
Where to Learn More……Page 165
LOGIC, SETS, AND FUNCTIONS……Page 166
ALGORITHMS……Page 167
COMPUTER DESIGN……Page 168
COUNTING JAGUARS USING PROBABILITY THEORY……Page 169
Where to Learn More……Page 170
A Brief History of Discovery and Development……Page 171
DIVISION AND DISTRIBUTION……Page 172
DIVISION AND COMPARISON……Page 173
AVERAGES……Page 174
OTHER USES OF DIVISION……Page 175
Where to Learn More……Page 177
A Brief History of Discovery and Development……Page 178
ENGINEERING……Page 179
Where to Learn More……Page 180
CONFORMAL MAPS……Page 181
Where to Learn More……Page 182
Fundamental Mathematical Concepts and Terms……Page 183
BUYING A USED CAR……Page 184
GUMBALL CONTEST……Page 185
DIGITAL IMAGING……Page 186
THE HUBBLE SPACE TELESCOPE……Page 187
Where to Learn More……Page 188
INTEGER EXPONENTS……Page 189
EXPONENTIAL FUNCTIONS……Page 190
A Brief History of Discovery and Development……Page 191
EXPONENTIAL GROWTH……Page 193
ROTTING LEFTOVERS……Page 195
EXPONENTS AND EVOLUTION……Page 196
RADIOACTIVE DECAY……Page 197
INTEREST AND INFLATION……Page 199
THE AMAZING EXPANDING UNIVERSE……Page 200
Where to Learn More……Page 201
Fundamental Mathematical Concepts and Terms……Page 202
REDUCING EQUATIONS……Page 203
Potential Applications……Page 204
Where to Learn More……Page 205
BUYING MUSIC……Page 206
Unknown……Page 0
CREDIT CARDS……Page 207
CHOOSING A WIRELESS PLAN……Page 209
BUDGETS……Page 210
BALANCING A CHECKBOOK……Page 211
INVESTING……Page 212
RETIRING COMFORTABLY BY INVESTING WISELY……Page 214
CALCULATING A TIP……Page 216
CURRENCY EXCHANGE……Page 217
Where to Learn More……Page 218
Fundamental Mathematical Concepts and Terms……Page 220
A Brief History of Discovery and Development……Page 221
FRACTALS AND NATURE……Page 222
NONLIVING SYSTEMS……Page 223
Where to Learn More……Page 224
TYPES OF FRACTIONS……Page 225
FRACTIONS AND PERCENTAGES……Page 226
A Brief History of Discovery and Development……Page 227
MUSIC……Page 228
SIMPLE PROBABILITIES……Page 229
FRACTIONS AND VOTING……Page 230
Where to Learn More……Page 231
HOW FUNCTIONS ARE DESCRIBED……Page 232
GUILLOCHÉ PATTERNS……Page 233
FINITE- ELEMENT MODELS……Page 234
NUCLEAR WASTE……Page 235
Where to Learn More……Page 236
Fundamental Mathematical Concepts and Terms……Page 237
A Brief History of Discovery and Development……Page 238
CARD GAMES……Page 240
OTHER CASINO GAMES……Page 241
BASIC BOARD GAMES……Page 242
MAGIC SQUARES……Page 243
Where to Learn More……Page 245
Overview……Page 247
A Brief History of Discovery and Development……Page 248
DECISION THEORY……Page 250
EVOLUTION AND ANIMAL BEHAVIOR……Page 251
ARTIFICIAL INTELLIGENCE……Page 252
Where to Learn More……Page 253
Fundamental Mathematical Concepts and Terms……Page 254
A Brief History of Discovery and Development……Page 257
POTHOLE COVERS……Page 258
ARCHITECTURE……Page 259
GLOBAL POSITIONING……Page 261
MANIPULATING SOUND……Page 263
SOLAR SYSTEMS……Page 264
RUBIK’S CUBE……Page 265
STEALTH TECHNOLOGY……Page 266
THE FOURTH DIMENSION……Page 267
Where to Learn More……Page 269
Fundamental Mathematical Concepts and Terms……Page 270
BAR GRAPHS……Page 271
LINE GRAPHS……Page 273
PIE GRAPHS……Page 274
RADAR GRAPHS……Page 275
X- Y GRAPHS……Page 276
GLOBAL WARMING……Page 279
BIOMEDICAL RESEARCH……Page 280
COMPUTER NETWORK DESIGN……Page 281
Potential Applications……Page 282
Where to Learn More……Page 283
Fundamental Mathematical Concepts and Terms……Page 284
ANALYZING IMAGES……Page 285
RECOGNIZING FACES: A CONTROVERSIAL APPLICATION……Page 286
STEGANOGRAPHY AND DIGITAL WATERMARKS……Page 288
ART……Page 289
Where to Learn More……Page 290
Fundamental Mathematical Concepts and Terms……Page 291
UNEQUALLY LIKELY MESSAGES……Page 293
COMMUNICATIONS……Page 295
INFORMATION THEORY IN BIOLOGY AND GENETICS……Page 296
ERROR CORRECTION……Page 297
QUANTUM COMPUTING……Page 298
Where to Learn More……Page 299
THE MULTIPLICATIVE INVERSE……Page 300
A Brief History of Discovery and Development……Page 301
CRYPTOGRAPHY……Page 302
FLUID MECHANICS AND NONLINEAR DESIGN……Page 303
STEREO……Page 304
Where to Learn More……Page 305
ITERATION AND SPORTS……Page 306
ITERATION AND CREATIVITY……Page 307
Where to Learn More……Page 308
Fundamental Mathematical Concepts and Terms……Page 309
EARTHQUAKE PREDICTION……Page 311
RECOVERING HUMAN MOTION FROM VIDEO……Page 312
LINEAR PROGRAMMING……Page 313
LINEAR REPRODUCTION OF MUSIC……Page 314
Where to Learn More……Page 315
Fundamental Mathematical Concepts and Terms……Page 316
POWERS AND LOGS OF BASE 10……Page 317
History of Logarithms……Page 318
USING A LOGARITHMIC SCALE TO MEASURE SOUND INTENSITY……Page 319
USE IN MEDICAL EQUIPMENT……Page 320
Where to Learn More……Page 321
PROPOSITION AND CONCLUSION……Page 322
FUZZY LOGIC……Page 323
Where to Learn More……Page 324
Fundamental Mathematical Concepts and Terms……Page 325
DIGITAL IMAGES……Page 326
DESIGNING CARS……Page 327
Where to Learn More……Page 328
Fundamental Mathematical Concepts and Terms……Page 329
DIMENSIONS……Page 330
ENGINEERING……Page 331
DOCTORS AND MEDICINE……Page 332
NAVIGATION……Page 333
SPACE TRAVEL AND TIMEKEEPING……Page 334
Where to Learn More……Page 335
Overview……Page 336
Fundamental Mathematical Concepts and Terms……Page 337
VALUE OF DIAGNOSTIC TESTS……Page 340
STANDARD DEVIATION AND VARIANCE FOR USE IN HEIGHT AND WEIGHT CHARTS……Page 341
GENETIC RISK FACTORS: THE INHERITANCE OF DISEASE……Page 342
CLINICAL TRIALS……Page 345
RATE OF BACTERIAL GROWTH……Page 348
Where to Learn More……Page 349
Fundamental Mathematical Concepts and Terms……Page 350
ECOLOGICAL MODELING……Page 352
MILITARY MODELING……Page 353
Where to Learn More……Page 356
A Brief History of Discovery and Development……Page 357
INVESTMENT CALCULATIONS……Page 359
SPORTS MULTIPLICATION CALCULATING A BASEBALL ERA……Page 360
MULTIPLICATION IN INTERNATIONAL TRAVEL……Page 361
OTHER USES OF MULTIPLICATION……Page 362
Where to Learn More……Page 363
PYTHAGORAS AND STRINGS……Page 365
QUANTIFICATION OF MUSIC……Page 367
WELL- TEMPERED TONES……Page 368
ELECTRONIC INSTRUMENTS……Page 369
DIGITAL MUSIC……Page 370
COMPUTER- GENERATED MUSIC……Page 371
MATH- ROCK……Page 373
Where to Learn More……Page 374
FIBONACCI NUMBERS AND THE GOLDEN RATIO……Page 375
MATHEMATICAL MODELING OF NATURE……Page 376
Where to Learn More……Page 377
A Brief History of Negative Numbers……Page 378
THE MATHEMATICS OF BOOKKEEPING……Page 379
FLOOD CONTROL……Page 380
Where to Learn More……Page 381
Fundamental Mathematical Concepts and Terms……Page 382
CRYPTOGRAPHY……Page 384
ERROR CORRECTING CODES……Page 385
Where to Learn More……Page 386
A Brief History of Discovery and Development……Page 387
SPORTS AND ENTERTAINMENT ODDS……Page 388
ODDS IN EVERYDAY LIFE……Page 389
ODDS IN STATE LOTTERIES……Page 390
OTHER APPLICATIONS OF ODDS……Page 391
Where to Learn More……Page 393
DEFINITIONS AND BASIC APPLICATIONS……Page 394
A Brief History of Discovery and Development……Page 395
FINDING THE BASE RATE……Page 396
CALCULATING A TIP……Page 397
RETAIL SALES: PRICE DISCOUNTS AND MARKUPS AND SALES TAX……Page 398
SALES TAX CALCULATION: IN- STORE DISCOUNT VERSUS MAIL- IN REBATE……Page 399
UNDERSTANDING PERCENTAGES IN THE MEDIA……Page 400
PUBLIC OPINION POLLS……Page 401
SPORTS MATH……Page 402
Percentiles……Page 404
Potential Applications……Page 405
Where to Learn More……Page 406
A Brief History of Discovery and Development……Page 407
BODIES OF WATER……Page 408
MILITARY……Page 409
Where to Learn More……Page 410
A Brief History of Discovery and Development……Page 411
ART……Page 413
ANIMATION……Page 414
FILM……Page 415
INTERIOR DESIGN……Page 416
Where to Learn More……Page 418
FILM SPEED……Page 420
SHUTTER SPEED……Page 421
DEPTH OF FIELD……Page 422
DIGITAL PHOTOGRAPHY……Page 423
SPORTS AND WILDLIFE PHOTOGRAPHY……Page 424
Where to Learn More……Page 425
DIAGRAMS……Page 426
SCATTER GRAPH……Page 427
POLAR CHART……Page 428
SCATTER GRAPH……Page 429
LINE GRAPH……Page 430
TRIANGULAR GRAPH……Page 432
FLOW CHART……Page 433
TREE DIAGRAM……Page 434
MAPS……Page 435
OTHER DIAGRAMS……Page 436
Where to Learn More……Page 437
A Brief History of Discovery and Development……Page 438
COMPUTER SCIENCE AND BINARY LOGIC……Page 439
Where to Learn More……Page 440
A Brief History of Discovery and Development……Page 442
BIOLOGICAL APPLICATIONS OF PRIME NUMBERS……Page 443
Where to Learn More……Page 444
Fundamental Mathematical Concepts and Terms……Page 445
SECURITY……Page 446
GAMBLING AND PROBABILITY MYTHS……Page 447
PROBABILITY IN SPORTS AND ENTERTAINMENT……Page 448
PROBABILITY IN BUSINESS AND INDUSTRY……Page 449
OTHER USES OF PROBABILITY……Page 450
Where to Learn More……Page 451
SOLVING RATIOS WITH CROSS PRODUCTS……Page 452
A Brief History of Discovery and Development……Page 453
ARCHITECTURE……Page 454
ART, SCULPTURE, AND DESIGN……Page 455
ERGONOMICS……Page 456
CHEMISTRY……Page 457
PROPORTION IN NATURE……Page 458
Where to Learn More……Page 459
Fundamental Mathematical Concepts and Terms……Page 460
CAR TIRES……Page 461
Where to Learn More……Page 462
Fundamental Mathematical Concepts and Terms……Page 463
A Brief History of Discovery and Development……Page 464
GENETIC TRAITS……Page 465
SPORTS……Page 467
STEM CELL RESEARCH……Page 468
DETERMINING THE ORIGIN OF THE MOON……Page 469
Where to Learn More……Page 470
WHOLE NUMBERS……Page 471
BULK PURCHASES……Page 472
ACCOUNTING……Page 473
Where to Learn More……Page 474
SCORING RUBRICS……Page 475
GENERAL RUBRICS AND TASK- SPECIFIC RUBRICS……Page 477
Where to Learn More……Page 478
PROBABILITY SAMPLING……Page 479
NON- PROBABILITY SAMPLING……Page 480
AGRICULTURE……Page 481
DRUG MANUFACTURING……Page 482
WEATHER FORECASTS……Page 483
ASTRONOMY……Page 484
MARKETING……Page 485
Where to Learn More……Page 486
LOGARITHMIC SCALE……Page 487
RATIO SCALE……Page 488
MAP SCALE……Page 489
WEIGHING SCALE……Page 490
TECHNOLOGY AND IMAGING……Page 491
MUSIC……Page 493
Where to Learn More……Page 494
FUNCTIONS AND MEASUREMENTS……Page 495
TRIGONOMETRY AND THE PYTHAGOREAN THEOREM……Page 496
MATRICES AND ARRAYS……Page 497
WEATHER PREDICTION……Page 498
ESTIMATING DATA USED FOR ASSESSING WEATHER……Page 499
AVIATION AND FLIGHTS……Page 500
SIMPLE CARPENTRY……Page 501
ROCKET LAUNCH……Page 502
EARTHQUAKES AND LOGARITHMS……Page 504
Where to Learn More……Page 505
Fundamental Mathematical Concepts and Terms……Page 506
MATHEMATICAL OPERATIONS……Page 507
LIGHT YEARS, THE SPEED OF LIGHT, AND ASTRONOMY……Page 508
COMPUTER SCIENCE……Page 509
FORENSIC SCIENCE……Page 510
EARTH SCIENCE……Page 511
Where to Learn More……Page 512
SEQUENCES……Page 513
OPERATING ON SETS……Page 514
SERIES……Page 515
Where to Learn More……Page 516
Fundamental Mathematical Concepts and Terms……Page 517
RULES MATH……Page 518
MATH TO UNDERSTAND SPORTS PERFORMANCE……Page 519
BASEBALL……Page 520
BASKETBALL……Page 521
PASCAL’S TRIANGLE AND PREDICTING A COIN TOSS……Page 522
FOOTBALL TACTICS— MATH AS A DECISION- MAKING TOOL……Page 523
UNDERSTANDING THE SPORTS MEDIA EXPERT……Page 524
RATINGS PERCENTAGE INDEX ( RPI)……Page 525
BASEBALL……Page 526
CYCLING— GEAR RATIOS AND HOW THEY WORK……Page 527
GOLF TECHNOLOGY……Page 528
MONEY IN SPORT— CAPOLOGY 101……Page 529
MATH AND SPORTS WAGERING……Page 530
Where to Learn More……Page 532
Fundamental Mathematical Concepts and Terms……Page 533
A Brief History of Discovery and Development……Page 534
ARCHITECTURE……Page 535
SPORT……Page 536
Where to Learn More……Page 537
POPULATIONS AND SAMPLES……Page 538
PROBABILITY……Page 539
MINIMUM, MAXIMUM, AND RANGE……Page 540
AVERAGE VALUES……Page 541
MEASURES OF DISPERSION……Page 542
CORRELATION AND CURVE FITTING……Page 543
ANALYSIS OF VARIANCE……Page 544
USING STATISTICS TO DECEIVE……Page 545
GEOSTATISTICS……Page 547
QUALITY ASSURANCE……Page 548
PUBLIC OPINION POLLS……Page 549
Where to Learn More……Page 550
Fundamental Mathematical Concepts and Terms……Page 551
SUBTRACTION IN FINANCIAL CALCULATIONS……Page 553
TAX DEDUCTIONS……Page 554
SUBTRACTION IN ENTERTAINMENT AND RECREATION……Page 555
Sleep Management……Page 556
Antenna Design……Page 557
Where to Learn More……Page 558
Fundamental Mathematical Concepts and Terms……Page 559
EXPLORING SYMMETRIES……Page 561
FRACTAL SYMMETRIES……Page 563
SYMMETRIES IN NATURE……Page 564
A Brief History of Discovery and Development……Page 565
MATH SKILLS……Page 566
CONVERTING MEASUREMENTS……Page 567
FINANCE……Page 568
HEALTH……Page 570
DAILY USE……Page 571
Where to Learn More……Page 573
Overview……Page 575
VISUAL ANALYSIS……Page 576
MÖBIUS STRIP……Page 577
Where to Learn More……Page 578
MEASURING ANGLES……Page 579
TYPES OF TRIANGLES……Page 580
PYTHAGOREAN THEOREM……Page 581
TRIGONOMETRIC FUNCTIONS……Page 582
A Brief History of Discovery and Development……Page 583
NAVIGATION……Page 584
VECTORS, FORCES, AND VELOCITIES……Page 585
SURVEYING, GEODESY, AND MAPPING……Page 586
Potential applications……Page 588
Where to Learn More……Page 589
TWO- DIMENSIONAL VECTORS……Page 590
THE MAGNITUDE OF A VECTOR……Page 591
VECTOR ALGEBRA……Page 592
A Brief History of Discovery and Development……Page 593
LAND MINE DETECTION……Page 594
Where to Learn More……Page 595
VOLUMES OF COMMON SOLIDS……Page 597
PRICING……Page 599
MEDICAL APPLICATIONS……Page 600
GLOWING BUBBLES: SONOLUMINESCENCE……Page 601
WHY THERMOMETERS WORK……Page 602
BIOMETRIC MEASUREMENTS……Page 603
Where to Learn More……Page 604
Fundamental Mathematical Concepts and Terms……Page 605
INSURANCE……Page 606
ENGINEERING……Page 607
PROPORTION AND INVERSE PROPORTION……Page 608
NAVIGATION……Page 609
LINEAR PROGRAMMING……Page 610
RANKING TEST SCORES……Page 611
ARCHITECTURE……Page 612
GEOLOGY……Page 613
QUALITY CONTROL……Page 614
THROWING A BALL……Page 615
Where to Learn More……Page 616
Fundamental Mathematical Concepts and Terms……Page 617
GAMBLING……Page 618
Where to Learn More……Page 619
Glossary……Page 621
C……Page 627
H……Page 628
S……Page 629
T……Page 630
A……Page 631
B……Page 632
C……Page 633
D……Page 636
E……Page 637
F……Page 638
G……Page 639
H……Page 640
I……Page 641
M……Page 642
N……Page 644
P……Page 645
R……Page 647
S……Page 648
T……Page 651
W……Page 652
Z……Page 653

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