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Sylvester J.J. — The Collected Mathematical Papers, Volume II
Sylvester J.J. — The Collected Mathematical Papers, Volume II

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Название: The Collected Mathematical Papers, Volume II

Автор: Sylvester J.J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 1973

Количество страниц: 746

Добавлена в каталог: 08.05.2008

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Предметный указатель
1’Entrelacement d’une fonction par rapport a une autre      iii 449
Actions mutuelles des formes invariantives derivees, sur les      iii 218
Algebra, universal      iv 146 208
Alliance, or Ueberschiebung      iii 132 217
Allineation, theory of      iii 390
Allotrious factori      i 438 580
Alternants      iv 416
Amphigenous surface      ii 436 478
Anakolouthic sum      ii 40
Annihilator      iv 288 451
Apocopated      i 580
Approximation, Poncelet’s, to a linear function of two irrationalities      iii 635 644
Approximation, Poncelet’s, to a square root      ii 181 200
Arborescent functions      ii 49
Arithmetic      see “Numbers”
Arithmetic, addition to the vocabulary of      iv 588
Arithmetic, theorems in      ii 40 484 485
Arithmetical progression containing an infinite number of primes      ii 712 iv
Arithmetical series, On      iv 687
Arrangement, compound      ii 325
Arrangements, a theorem of Cauchy for      ii 245 290
Associated algebraical forms      i 198
Astronomical prolusions      ii 519 546
Asymptotic limits for number of primes      iii 530 iv
Asyzygetic invariants, extension of theorem      iv 515
Atomic theory and theory of concomitants      iii 148
Axis of rotation of a rigid body      i 157
Barycentric perspective      ii 342 358
Bernoulli’s numbers      ii 254
Bezoutians      i 430 444 548 557 580
Bezoutic square      i 430 444
Bezoutoid      i 555
Bicorn      ii 469 478 iii
Binariants      iii 571 iv
Binary system of cubics compared with ternary system of quadratics      ii 15
Binomial extractor      iii 14
Biorthogonal reduction of lineo-linear form      iv 638 650 654
Bipartition      iv 34
Bipotential      iii 38
Biquadratic      see “Quartic”
Bismarck      iii 32
Bisyntheme      i 92
Boole-Mongian      iv 283 380
Bring, Jerrard and Hamilton on quintic equation      iv 531 553
Brioschi’s equation for symmetric functions      iv 166
Buffon’s problem of the needle      iv 663
Burman’s law for inversion of independent variable      ii 44 50 65
Caesura      ii 146
Calculus of forms, On the      i 284 328 402 411 ii
Canonic roots      ii 331
Canonical forms      i 184 190 202 208
Canonical forms for binary forms      i 190 202
Canonical forms for even degrees      i 216 271 279 293
Canonical forms for odd degrees      i 208 265
Canonical forms for several variables      iv 527
Canonical forms of binary sextic      ii 18
Canonical forms of cubic surface      i 195
Canonical forms of quartic and octavic      ii 18
Canonical forms of ternary cubic      i 201
Canonical forms, a discovery in      i 265
Canonical forms, a memoir on elimination, transformation, and canonical forms      i 184
Canonical forms, Essay on      i 203
Cartesian ovals      ii 527 550
Catalectic      i 211
Catalecticant      i 293
Cayley’s theorem for number of invariants      iii 55 iv 519
Central force      ii 547
Centre of gravity of figures in homography      ii 323
Centre of gravity of figures in homography, of a quadrilateral      ii 338
Centre of gravity of figures in homography, of a truncated pyramid      ii 342
Characteristic      i 580
Chemistry and algebra      iii 103 150
Circle of convergence      ii 301
Circle, successive involutes to      ii 629 630 641 663
Cissoid      iii 16
Clausen and von Staudt’s law for factors of denominators of Bernoulli’s numbers      ii 254
Clebsch, a theorem for curves of the fourth order      iv 527
Coexistence, rational derivation from equations of      i 40 47 54
Cogredience and contragredience      i 285
Cogredience and contragredience, compound      i 287
Cogredient and Contragredient      i 581
Cogredient and Contragredient, systems      i 290
Colligation      iii 23
Combinant      i 402 411 554 580
Combinatorial aggregation      i 91
Commemoration-day address at Baltimore      iii 72
Commutants      i 201 255 305
Compound cogredience      i 287
Compound partitions      ii 113
Computing products without logarithms      ii 34
Concomitance, complex      i 291
Concomitant      i 200 286 581
Concomitant of given order and degree for any system of forms      iii 67 113 241
Concomitant, plexus      i 291
Concomitants, derivation of one from another      i 287 290
Cone projecting intersection of two surfaces      i 169
Congruences, the resultant of two      iii 475
Conies, differential equation of      iv 282 380
Conies, having contact of third order      i 155
Conies, intersections and contacts      i 119
Conies, intersections of two      i 162
Conies, meeting cubic curve in six consecutive points      ii 59
Conies, porismatic property of      i 155
Conjugate equations      ii 399
Conjugate system of regular substitutions      ii 623
Conjunctive      i 581
Connumerant      ii 133
Conoid      i 228
Consecutive points, four upon a tangent line of a surface      i 177
Constructive Theory of Partitions      iv 1
Contacts of conies      i 119 223
Contacts of conies, of lines and surfaces of the second order      i 219 227 ii
Contents of polygons, von Staudt’s theorems for      i 382
Continuants      iii 249
Continued fractions      i 641
Continued fractions for the quadrature of the circle      ii 691
Continued fractions, arithmetic theorem      iv 659
Continued fractions, expressing the roots of a quadratic      iv 641 645 647
Continued fractions, improper      i 583
Contrary, reciprocal or complementary substitutions      i 200
Contravariant      i 200 581
Contravariant, changing to a covariant      i 200
Contravector      ii 19
Convergence, circle of      ii 301
Convergence, corona of      ii 301
Coreciprocants      iv 419
Corpus of matrices      iv 222
Correlations, of two conies      i 119
Correspondence between arrangements of complex numbers      iv 59
Correspondence of partitions      iv 24 38
Covariant      i 200 581
Crocchi’s theorem      iii 653
Cross-gratings used to prove formulae in elliptic functions      iii 667
Crystals, Fresnel’s theory of      i 1
Cube root extracting machine      iii 18
Cubes, sum and difference, numbers so resoluble      iii 347
Cubic and linear form, concomitants of      iii 97 393
Cubic and quadratic, concomitants of      iii 97 394
Cubic and quadratic, concomitants of syzygies      iii 505
Cubic and quartic, concomitants of      iii 127 39
Cubic and quartic, concomitants, reconciliation of two enumerations of concomitants      iii 132 136
Cubic curve and conic of sextactic contact      ii 59
Cubic curve, law of squares      iii 359
Cubic curve, polygons inscribed and circumscribed      iii 341
Cubic curve, rational derivation of points      ii 107 iii
Cubic curvetriangles inscribed and circumscribed      iii 474
Cubic Form, in integers      i 107 110 114 ii 107 iii
Cubic residues, 2 and 3 as      iii 345
Cubic surface, expressed by five cubes      i 195
Cubic surface, expressed by five cubes, polar reciprocal      i 302
Cubic surface, expressed by five cubes, twenty-seven lines of      ii 242 451
Cubic, binary, concomitants of      iii 283 579
Cubic, binary, concomitants of, generating function for covariants      iii 113
Cubic, quadratic and quartic      iii 625
Cubic, ternary, degeneracies of      i 335
Cubic, ternary, degeneracies of, concomitants of      i 192 308 327 331 599 ii 387
Cubics, two binary, concomitants of      iii 97 395
Cubics, two binary, concomitants of, reconciliation of two enumerations of concomitants      iii 258
Cumulant      i 504 580
Cursality or genus of a plane curve      iii 14
Curve of any order, differential equation of      iv 495 524 529
Curves in space analogous to Cartesian ovals      ii 555 559
Cyclodes      ii 629 641 663
Cyclotheme      i 93
Cyclotomy      iii 317 326 381 428 437 446 477 479 iv 626
Decimic, binary, concomitants of      iii 256 302
Definite integrals, two new      ii 208 298
Degree of a symmetrical function in the coefficients      i 595
Denumerant      ii 120 iii 614
Denumerant for invariants of octavic      iii 52
Denumerant of a diptych      ii 668
Derivation, rational, from equations of coexistence      i 40 47 54
Derivative, of two equations, of specified degree      i 41
Derivative, of two equations, of specified degree, points of curves of third order      ii 107 iii
Determinants and duadic disynthemes      iii 264
Determinants and polar umbrae      ii 327
Determinants and quadratic forms      i 129 147
Determinants of parallel motion      iii 35
Determinants of two quadratic forms, summary of possibilities      i 236
Determinants, a fundamental theorem      i 252
Determinants, combination of      i 399
Determinants, compound      i 126
Determinants, comprising the secular determinant      iii 453
Determinants, definition      i 581
Determinants, determinants composes, sur les      iii 456
Determinants, diminished      i 126 136
Determinants, double      ii 326 331 336
Determinants, minor, condition of all vanishing      i 147 221
Determinants, relation of minor determinants of equivalent quadratics      i 241 647
Determinants, relative      i 183 188
Determinants, Sylvester’s theorems in the First Volume      i 647
Dialytic elimination      i 133 256 581
Dialytic elimination for ternary forms      i 62 76
Dialytic elimination, extensions of      i 256
Dialytic elimination, origin of      iii 77
Dialytic elimination, restatement      i 86
Difference and differential equations      ii 689 iii 551 iv
Differential equation of a curve of any order      iv 495 524 529
Differential equation of conies      iv 282 380
Differential equations of a concomitant      i 352
Differential invariants      iv 245 520
Differential transformation      ii 50 65
Differentiants      iii 113 118 124 151 232 iv
Diploidal contact      i 225
Diplotheme      i 92
Diptych      ii 665
Discriminant      i 581
Discriminant of the canonizant      ii 418
Discriminatrix      ii 395 478
Disjunctive      i 582
Ditheme      i 175
Divisors of cyclotomic functions      iii 428 437 446 479
Divisors of the sum of a geometrical series      iv 607 625
Double integration      i 36
Double six of lines      ii 243 451
Duadic disynthemes and determinants      iii 264
Duadic syntheme      iii 170
Duodecimic, binary, concomitants of      iii 489
Dyadism      iii 23
D’Alembert-Carnot, geometrical paradox      iv 238
E(x), the function      ii 177 178 179
Educational Times, index to occurrence of Author’s name in mathematical questions from      iv 743
Eduction      ii 147
Elimination, a new theory of      i 40
Elimination, between quadratic functions      i 139 145
Elimination, by inspection      i 54
Elimination, Dialytic method      i 61 86
Elimination, Dialytic method, extensions of      i 256
Elimination, from ternary forms      i 62 76 298
Elimination, linear method of      i 75
Elimination, note on      i 58
Elimination, Sketch of a Memoir on      i 184
Elliptic integral of the first kind      11 203 211
Elliptic motion      11 496
Emanant      i 288 431 582
Endoscopic and exoscopic      i 431 582
Equal roots and multiple points      i 367
Equation, roots of, difference functions in correspondence with power sums      iv 163
Equations of which all the roots are real      iii 411
Equatrix      ii 395 478
Euler’s numbers      ii 254
Euler’s theorem for parabolic motion      ii 522
Euler’s theorem for perfect numbers      iv 589
Euler’s theorem for the partition of pentagonal numbers      iii 664 685 iv 95
Euler’s theorem for the partition of pentagonal numbers, Franklin’s proof      iv 11
Euler’s theorem of reciprocity in partitions      i 597 ii
Evectants      i 329 367
Even number, partition into two primes      ii 709
Expansion of first negative power of a power series      ii 103
Extent and content of a partition      iv 2
Eyes, ears, nose, lips and chin as singularities      iv 293
Ezekiel’s valley of dry bones      iv 282
Facultative point, in theory of quintic      i 436
Farey series      iii 672 687 iv 78 101 603
Fermatian      iv 607 625
Fermat’s theorem      ii 229 232 234 241 263 iv
Finite differences      ii 307 308 313 318 iii 633
Fluids, on the motion and rest of      i 28
Form, definition of      i 582
Formes-adjointes      i 200
Formes-associees      iii 108 199
Forms, Calculus of      i 284 328 402 411 ii
Fractions with limited numbers      iii 672 689 iv 738
Fractions, vulgar, a point in the theory of      iii 440
Functional relations among the roots of a quartic      i 192
Fundamental theorem of the theory of invariants      iii 117 232 iv
Funicular solution of Bufion’s problem      iv 663
Generating function for covariants      iii 113
Generating function for invariants of binary forms      iii 58
Generating function for invariants of octavic      iii 52
Generating function for reciprocants      iv 402
Generating function in partitions      iv 21
Geometrical notions and determinations      iv 259
Geometrical problem, on a simple      i 392
Geometry, descriptive and metrical      ii 8
Geometry, descriptive and metricalLecture before the Gresham Committee      ii 2
Germany, the classical land of learning      iii 79
Goldbach — Euler theorem for primes      iv 734
Graphical conversion of a continued product into a series      iv 26 91
Graphical dissection, H.J.S.Smith on      iv 49
groups      ii 269
Groups, continuous      iv 422
Groups, intransitive      ii 275
Halphen, on reciprocants      iv 290
Hamilton’s numbers      iv 553 585
Hamilton’s numbers, Hammond’s theorem on      iv 550 557 586
Hammond, benefit of intercourse with      iv 300
Hessian, or Hessean      i 583
Hessian, or Hessean of a cubic surface      i 195
Homaloid      i 175
Homaloid, Homaloidal Law      i 129 150 ii
Homogeneous functions, general properties      i 165
Homonomial resolubility      ii 289
Homonymous      ii 122
Huxley, on Mathematics      ii 653 654
Hyperdeterminants      i 185 583
Hyperdeterminants, a discovery in      i 265
Imaginaries, the eight square      iii 642
Imaginary roots, Newton’s rule for      ii 376
Inaugural lecture at Oxford      iv 278
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