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was known for his ability to coin new names and new notation for mathematical objects, not based on his own name. Nevertheless, many objects and results in mathematics have come to be named after him:
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Erwin H. Bareiss (1968), Sylvester's
Identity and Multistep Integer- Preserving Gaussian Elimination. Mathematics of Computation, Vol. 22, No. 103, pp. 565–578
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lists over 500 mathematics articles with "Sylvester" in their titles, most of which concern mathematical subjects named after
Sylvester.
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Fibonacci–Sylvester expansion of a rational number, a representation as a sum of unit fractions found by a greedy algorithm.
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Recent
Progress in Combinatorics (Proc. Third Waterloo Conf. on Combinatorics, 1968)
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a.k.a. Sylvester's rigidity theorem, about the signature of a quadratic form.
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Sylvester's "four point problem" of geometric probability.
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Sylvester's identity about determinants of submatrices.
454:, London: Academic Press Inc. , pp. 576, 606,
302:Franklin, Fabian (1897), "James Joseph Sylvester",
275:Sylvester's construction for an arbitrarily large
18:List of topics named after James Joseph Sylvester
71:, for a matrix function in terms of eigenvalues.
475:"Creating the Royal Society's Sylvester Medal"
408:, New York: Academic Press, pp. 283–286,
268:Sylvester's closed solution for the Frobenius
40:, on the existence of a line with only two of
304:Bulletin of the American Mathematical Society
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255:, a vector, matrix and geometry library for
529:Lists of things named after mathematicians
482:British Journal for the History of Science
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450:Winning Ways for your Mathematical Plays
56:, a matroid without any two-point lines.
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283:Scientific equations named after people
74:Sylvester's theorem on the product of
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67:Sylvester's matrix theorem, a.k.a.
235:Other things named after Sylvester
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62:Sylvester's determinant identity
317:10.1090/S0002-9904-1897-00424-4
404:(1969), "Sylvester matroids",
272:when there are only two coins.
253:Sylvester (javascript library)
243:, an impact crater on the Moon
48:Sylvester–Gallai configuration
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452:, Vol. 2: Games in Particular
124:Sylvester cyclotomic numbers
177:Sylvester's rank inequality
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229:, a number-theoretic game.
90:Sylvester's law of inertia
78:consecutive integers >
494:10.1017/S0007087403005132
473:Cantor, Geoffrey (2004),
357:Aequationes Mathematicae
38:Sylvester–Gallai theorem
159:are given matrices and
163:is an unknown matrix.
99:Sylvester's criterion
118:Sylvester's sequence
114:for two polynomials.
84:Bertrand's postulate
437:Berlekamp, Elwyn R.
171:Sylvester expansion
82:, that generalizes
69:Sylvester's formula
380:10.1007/BF02112289
241:Sylvester (crater)
131:Sylvester equation
27:The mathematician
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263:See also
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