Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet L-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square L-functions and an asymptotic expansion for the average of central values...
关键词 卷积,卷积公式,应用,推广 Application and Generalization of Convolution Formula Wei Xie Shenyang Normal University, Shenyang Liaoning th th th Received: Nov. 27 , 2021; accepted: Dec. 17 , 2021; published: Dec. 29 , 2021 Abstract Convolution is an integral operation, which is also ...
Separable Convolution Formula: An Introduction Convolutional neural networks (CNNs) have revolutionized the field of computer vision, enabling remarkable progress in various image processing tasks. Among the essential components of CNNs, the separable convolution operation has gained significant attention due...
binomial coefficient (redirected fromVandermonde convolution formula) Encyclopedia binomial coefficient n (Mathematics)mathsany of the numerical factors which multiply the successive terms in a binomial expansion; any term of the formn!/(n–k)!k!: written (nk),nCk, orCnk. See alsocombination6 ...
网络卷积公式 网络释义 1. 卷积公式 ... 参数的确定( Determination of parameters)卷积公式(Convolution formula) 简单入流过程( Simple inflow hydrograph) ... www.docin.com|基于4个网页 例句 释义: 全部,卷积公式
direct- use direct convolution formula for computation. This is the default. – fft- use an algorithm based on the Fast Fourier Transform (FFT). This is a much faster algorithm than the direct formula for large samples, but numerical roundoff can cause significant numerical artifacts, especially...
The convolution formula above may look intimidating at first, but it is actually really simple! Explicitly, for the first few terms, we have: c0=a0b0c1=a0b1+a1b0c2=a0b2+a1b1+a2b0c3=a0b3+a1b2+a2b1+a3b0c_0 = a_0b_0\\ c_1 = a_0b_1+a_1b_0\\ c_2 = a_0b_2+a_1b...
While the symbol t is used above, it need not represent the time domain. But in that context, the convolution formula can be described as a weighted average of the function f(τ) at the moment t where the weighting is given by g(−τ) simply shifted by amount t. As t changes, th...
Answer to: Use the convolution formula to find (f * g)(t) for f(t) = cos(t) and g(t) = e^{3t}. By signing up, you'll get thousands of step-by-step...
We propose a general form for the statistical bootstrap equation by means of a convolution formula for the thermodynamical system of hadronic matter. In connection with a phase transition of hadronic matter to a state of quark liberation, we predict the negative binomial distribution with k1 for ...