# jacobi number

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### [Forget the high number] Jacobi Matrix and Jacobi determinant

Updated: 5 June 2016 "Vector value function" \ (Y=\textbf{f} (X): \omega\subset\mathbb{r}^n\rightarrow\mathbb{r}^m\) Can be thought of as M-component functions \ (y_1=f_1 (x_1,x_2,\cdots,x_n) \) \ (y_2=f_2 (x_1,x_2,\cdots,x_n) \) ...... \ (y_m=f_m

### Reprint primality Test

Original Address https://www.douban.com/note/271270932/The judgment of a number is n no is the prime numbers can be removed from 2 to the square root n in turn, if n can be divided into one of the n is not prime, otherwise n is a prime number. can

### Number theory algorithm--Summary of basic algorithm of information security Mathematics (Python version)

/*author:wsnpyo Update Date:2014-11-16Algorithm: Fast power/fermat, Solovay_stassen, miller-rabin primality test/EXGCD non-recursive version/Chinese remainder theorem */ImportRandomdefQuickpower (A, N, p):#Fast Power AlgorithmTMP =a ret= 1 while(N >0

### [FZSZOJ 1029] Observer-Enhanced Edition

1029: Observer-Enhanced Edition time limit: 1 Sec Memory Limit: MB Title DescriptionThe final exam of the Academy of Witchcraft and Wizardry began.The headmaster Jacobi used magic to create an observer in the examination room

### [Forget the high number] Hesse Matrix

Updated: 5 June 2016 "Multivariate function Taylor expands" n-ary function \ (y=f (X) \) A field in the \ (x_0\) point \ (B (x_0,r) \) Nei continuous micro, then \ (\forall x\in B (x_0,r), \exists \theta\in (0,1) \), Makes \ (f (X) =f (x_0) +JF (x_0)

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### Several commonly used optimization methods gradient Descent method, Newton method, and so on.

Several common optimization methods 1. Preface Children who are familiar with machine learning are aware that the optimization method is one of the most important topics, and the most common scenario is to use the derivative of the objective

### Number of Cattleya

Catalan number CattleyaTurn from:Http://www.mathoe.com/dispbbs.asp?boardid=89&replyid=46004&id=34522&page=1&skin=0&Star =2About the Cattleya number of extensions:1. (n-m+1)/(n+1) *c (n+m,n)2.C[N+M][N]-C[N+M][M-1]Catalan,eugene,charles, a Belgian

### GNU Scientific Library

The GNU Scientific Library is a powerful c,c++ math repository. It covers a wide range of facets, and the code is highly efficient and rich in interfaces. This library was found in a recent project where multiple Gaussian distributions were used.

### Implementation of the Jacobian algorithm of the Matrix's eigenvalues and eigenvectors

The eigenvalues and eigenvectors of matrices are a very important concept in linear algebra and matrix theory. It is also frequently used in the field of remote sensing. For example, the principal component analysis of multispectral and

### Implementation of the Jacobian algorithm of the Matrix's eigenvalues and eigenvectors

The eigenvalues and eigenvectors of matrices are a very important concept in linear algebra and matrix theory. In the field of remote sensing, for example, the principal component analysis of multispectral and hyperspectral images requires the

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