In this paper, we introduce a superimposing of de la Vallee Poussin means into deferred matrix means of Fourier series to determine the degree of approximation of functions belonging to W (L-p, ?, ?) space.KRASNIQI, XH. Z.Acta Mathematica Universitatis Comenianae...
Two of these *Form "functions" are useful for debugging: InputForm and FullForm. Also useful for debugging are various "functions" that prevent evaluation. So, to debug your notebook, here's what I did... For your first input, I copied the cell contents to my clipboard by hovering ...
The Mathematica FourierMatrix function does not use a scaling factor. (1) where ω=e‐2πi/n is an nth root of unity in which i=−1. Illustration ■ A 2-by-2 Fourier matrix ω=Exp‐2πI/2 − 1 MatrixForm[F2 = (1 / Sqrt[2]) {{1, 1}, {1, ω}}] 121212−12 ...
The Mathematica FourierMatrix function does not use a scaling factor. (1) where ω=e‐2πi/n is an nth root of unity in which i=−1. Illustration ■ A 2-by-2 Fourier matrix ω=Exp‐2πI/2 − 1 MatrixForm[F2 = (1 / Sqrt[2]) {{1, 1}, {1, ω}}] 121212−12 ...
现在我尽可能少写一些繁琐的细节,节约一些时间用来复习古代汉语。 做人要厚道,转贴请注明出处。 查看更多:http://www.luschny.de/math/factorial/FastFactorialFunctions.htmhttp://www.luschny.de/math/factorial/index.html <—- 巨牛,20多种阶乘算法的代码!神奇的分形艺术(四):Julia集和Mandelbrot集...
When using Mathematica, the routine MatrixExp[, ] gives the result directly in terms of RootSum[, ]. The three diagonal generators are λ3=diag(1,−1,0,0),λ8=diag(1,1,−2,0)/3, and λ15=diag(1,1,1,−3)/6. The remaining 12 generators have two non-zero entries either ...
I'm going to slightly change the definition instead and have a length n vector of functions of x,y,z {f1[x,y,z], ... , fn[x,y,z]} I first create a matrix A where a 1 denotes "differentiate with this variable": vars = {x, y, z}; nVars = Length@vars; A = With[{id ...
BLOCKMATRIX: Mathematica package to handle block matrix operations 来自 ideas.repec.org 喜欢 0 阅读量: 11 作者: DA Belsley 摘要: BlockMatrix.m provides the Kronecker product, Vec operator, Adjoin, BlockDiagonal and BlockMatrix functions, particularly useful in econometric applications of systems...
If you are interested I have a library of elementary and special functions implemented in Java and in C partly vectorized. They are fast mainly because I pre-calculated their coefficients with the help of Mathematica 8 and used Horner Scheme for result convergence. Moreover I have...
Before we can illustrate the action of these and other functions, it is useful to generate some sparse matrices. This is easily done using a different form of the sparse function. This time the function is supplied with the location of the non-zero entries in the matrix, the value of thes...