Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Pong, Wai Yan"'
We show that the four best-known substitutions used to integrate secant rely on different rational parametrizations of conic sections, coming from stereographic projections. We also investigate other possible explanations for the four substitutions,
Externí odkaz:
http://arxiv.org/abs/2204.11187
We give a new proof of the fact that the vanishing of generalized Wronskians implies linear dependence of formal power series in serveral variables. Our results are also valid for quotients of germs of analytic functions.
Externí odkaz:
http://arxiv.org/abs/1611.00248
Autor:
Pong, Wai Yan
Publikováno v:
Acta Arith. 172. (2016) no. 2 149-173
We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture. Along the way, we find counter-examples to some results in the lite
Externí odkaz:
http://arxiv.org/abs/1504.03263
Autor:
Hui, Chun Yin, Pong, Wai Yan
We solve a family of quadratic Diophantine equations associated to a simple kind of games. We show that the ternary case, in many ways, is the most interesting and the least arbitrary member of the family.
Comment: submitted to the journal INTEG
Comment: submitted to the journal INTEG
Externí odkaz:
http://arxiv.org/abs/1104.3900
Autor:
Pong, Wai Yan
Two numbers are spectral equivalent if they have the same length spectrum. We show how to compute the equivalence classes of this relation. Moreover, we show that these classes can only have either 1,2 or infinitely many elements.
Comment: 17 pa
Comment: 17 pa
Externí odkaz:
http://arxiv.org/abs/math/0701232
Autor:
Pong, Wai Yan
A decomposition of a natural number n is a sequence of consecutive natural numbers that sums to n. We construct a one-to-one correspondence between the odd factors of a natural number and its decompositions. We study the decompositions by their lengt
Externí odkaz:
http://arxiv.org/abs/math/0701149
Autor:
Aschenbrenner, Matthias, Pong, Wai-Yan
We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for
Externí odkaz:
http://arxiv.org/abs/math/0305384
Autor:
Pillay, Anand, Pong, Wai Yan
Publikováno v:
The Journal of Symbolic Logic, 2002 Sep 01. 67(3), 1189-1196.
Externí odkaz:
https://www.jstor.org/stable/3648565
Autor:
Pong, Wai Yan
Publikováno v:
The Journal of Symbolic Logic, 2000 Mar 01. 65(1), 347-356.
Externí odkaz:
https://www.jstor.org/stable/2586542
Corrigendum to: "On Lascar Rank and Morley Rank of Definable Groups in Differentially Closed Fields"
Autor:
Pillay, Anand, Pong, Wai Yan
Publikováno v:
The Journal of Symbolic Logic, 2009 Dec 01. 74(4), 1436-1437.
Externí odkaz:
https://www.jstor.org/stable/40378275