Def 1.2\mathcal A_n是 size function 在 n 处的原像集Def 1.3The couting sequence of a com...
Recently, Chan and Wang [2] studied the coefficients of qn in the series of expansion of (∏n=1∞(1qn))k,|q|<1 when k is a rational number which is denoted by pk(n). In particular, they proved many congruences satisfied by pk(n) and conjectured modulo 192 congruences for pk(...
Generating function只不过是coefficients有特定含义的power series。比如coefficients可以是某些Gromov-Witten i...
Generating functionsPartition functionsPyramid partitionsWe verify a recent conjecture of Kenyon/Szendri by computing the generating function for pyramid partitions... B Young - 《Journal of Combinatorial Theory》 被引量: 79发表: 2009年 ℓ-Adic properties of the partition function Ramanujans famous ...
Cumulant generating function formula and examples. Where it's used and why it's important in calculus and statistics.
Equality of P-Partition Generating Functions 来自 EBSCO 喜欢 0 阅读量: 51 作者:PRW Mcnamara,RE Ward 摘要: To every labeled poset ( P, ω ), one can associate a quasisymmetric generating function for its ( P, ω )-partitions. We ask: when do two labeled posets have the same generating ...
On the partial fraction decomposition of the restricted partition generating function. Forum Math., 27(2):735-766, 2015.Cormac O'Sullivan, On the partial fraction decomposition of the restricted partition gener- ating function, Forum Math., 27(2):735-766, 2015....
Cormac O'Sullivan, Asymptotics for the partial fractions of the restricted partition generating function I, Int. J. Number Theory, 12(6):1421-1474, 2016.Cormac O'Sullivan. Asymptotics for the partial fractions of the restricted ... C O'Sullivan 被引量: 0发表: 2015年 Asymptotics for the pa...
and the second representation may include a denser but still incomplete geometry for the training 3D scene that is derived from complete set of scans of the training 3D scene. The machine learning model can also be trained using a loss function that is computed using points that are visible in...
Partition函数、Green函数和Fourier级数展开是来自各种应用科学领域的其他例子。在这些领域中,它们的称呼各有不同:数字信号处理(DSP)中,使用z变换。计量经济学、数值计算中,使用特征方程。一些工程领域中,使用正则函数(canonical function)。算法分析中,零化多项式(annihilator polynomials)。这些都是特殊类型的生成函数(...