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Limiting case (mathematics)

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is the limiting case of compound interest in which the compounding period becomes infinitesimally small, achieved by taking the limit as the number of compounding periods per year goes to infinity.
169:. Each type of figure is a circle for certain values of the defining parameters, and the generic figure appears more like a circle as the limiting values are approached. 146:. As the number of events tends to infinity in the binomial distribution, the random variable changes from the binomial to the Poisson distribution. 363: 93: 65: 72: 35: 339: 79: 424: 61: 443: 130:
that arises when one or more components of the object take on their most extreme possible values. For example:
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Essays on mathematical reasoning : cognitive aspects of mathematical research and education
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is zero (the totally inelastic case) or infinity (the infinitely elastic case).
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in which some qualitative properties differ from the corresponding
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Special case which arises when input values are at their extremes
382: 257: 253: 176: 179:by treating the circle as the limiting case of a 435: 267:can degenerate into two distinct or coinciding 418: 51:introducing citations to additional sources 425: 411: 362:: CS1 maint: location missing publisher ( 327: 278:can degenerate into a single point or a 153:of various other figures, including the 41:Relevant discussion may be found on the 436: 377: 202:is much larger than the system size. 18: 175:calculated an approximate value of 13: 14: 460: 381: 62:"Limiting case" mathematics 34:relies largely or entirely on a 23: 236:A limiting case is sometimes a 321: 242:properties of the generic case 198:is the limiting case when the 1: 314: 397:. You can help Knowledge by 7: 297: 138:, the limiting case of the 10: 465: 376: 328:Pogonowski, Jerzy (2020). 209:, two limiting cases of a 192:electricity and magnetism 151:circle is a limiting case 304:Degeneracy (mathematics) 289:can degenerate into two 217:are those in which the 393:-related article is a 334:. Zürich. p. 79. 230:continuous compounding 444:Mathematical concepts 196:long wavelength limit 183:with 3 × 2 sides, as 140:binomial distribution 144:Poisson distribution 47:improve this article 309:Limit (mathematics) 124:mathematical object 291:intersecting lines 449:Mathematics stubs 406: 405: 341:978-3-643-96310-9 112: 111: 97: 456: 427: 420: 413: 385: 378: 368: 367: 361: 353: 325: 252:is a degenerate 107: 104: 98: 96: 55: 27: 19: 464: 463: 459: 458: 457: 455: 454: 453: 434: 433: 432: 431: 374: 372: 371: 355: 354: 342: 326: 322: 317: 300: 244:. For example: 238:degenerate case 181:regular polygon 108: 102: 99: 56: 54: 40: 28: 17: 12: 11: 5: 462: 452: 451: 446: 430: 429: 422: 415: 407: 404: 403: 386: 370: 369: 340: 319: 318: 316: 313: 312: 311: 306: 299: 296: 295: 294: 283: 272: 269:parallel lines 261: 234: 233: 222: 203: 188: 170: 155:Cartesian oval 147: 110: 109: 45:. Please help 31: 29: 22: 15: 9: 6: 4: 3: 2: 461: 450: 447: 445: 442: 441: 439: 428: 423: 421: 416: 414: 409: 408: 402: 400: 396: 392: 387: 384: 380: 379: 375: 365: 359: 351: 347: 343: 337: 333: 332: 324: 320: 310: 307: 305: 302: 301: 292: 288: 284: 281: 277: 273: 270: 266: 262: 259: 255: 251: 247: 246: 245: 243: 239: 231: 227: 223: 220: 216: 212: 208: 204: 201: 197: 193: 189: 186: 182: 178: 174: 171: 168: 164: 160: 156: 152: 148: 145: 141: 137: 133: 132: 131: 129: 125: 121: 120:limiting case 117: 106: 95: 92: 88: 85: 81: 78: 74: 71: 67: 64: –  63: 59: 58:Find sources: 52: 48: 44: 38: 37: 36:single source 32:This article 30: 26: 21: 20: 399:expanding it 388: 373: 330: 323: 280:line segment 235: 215:supply curve 211:demand curve 184: 167:Cassini oval 163:superellipse 128:special case 119: 113: 100: 90: 83: 76: 69: 57: 33: 391:mathematics 187:gets large. 116:mathematics 438:Categories 350:1191668852 315:References 219:elasticity 200:wavelength 173:Archimedes 165:, and the 136:statistics 73:newspapers 358:cite book 287:hyperbola 207:economics 43:talk page 298:See also 265:parabola 260:is zero. 256:, whose 103:May 2024 276:ellipse 226:finance 159:ellipse 142:is the 87:scholar 348:  338:  258:radius 254:circle 194:, the 161:, the 157:, the 89:  82:  75:  68:  60:  389:This 250:point 126:is a 122:of a 94:JSTOR 80:books 395:stub 364:link 346:OCLC 336:ISBN 118:, a 66:news 274:An 224:In 213:or 205:In 190:In 134:In 114:In 49:by 440:: 360:}} 356:{{ 344:. 285:A 263:A 248:A 228:, 149:A 426:e 419:t 412:v 401:. 366:) 352:. 293:. 282:. 271:. 185:n 177:π 105:) 101:( 91:· 84:· 77:· 70:· 53:. 39:.

Index


single source
talk page
improve this article
introducing citations to additional sources
"Limiting case" mathematics
news
newspapers
books
scholar
JSTOR
mathematics
mathematical object
special case
statistics
binomial distribution
Poisson distribution
circle is a limiting case
Cartesian oval
ellipse
superellipse
Cassini oval
Archimedes
π
regular polygon
electricity and magnetism
long wavelength limit
wavelength
economics
demand curve

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