matrices precalculus

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Data Structure --- using the c language to store and represent arrays (adjacent matrices) of graphs; --- using the c matrix

Data Structure --- using the c language to store and represent arrays (adjacent matrices) of graphs; --- using the c matrix // Map array (Adjacent matrix) Storage representation # include Copyright Disclaimer: This article is an original article by the blogger and cannot be reproduced without the permission of the blogger.

A brief talk on compression perception (vii): MATLAB implementation of common measurement matrices

sparserandom Matrix% M--RowNumber% N--ColumnNumber% d--the number of'1' inchEvery column,dM% Phi--The sparserandom matrix%%Generate sparserandom Matrix Phi=zeros (m,n); forII =1: N colidx=randperm (M); Phi (Colidx (1:D), ii) =1; EndEnd6. Gnas measurement matrix and cyclic measurement matrixfunction [Phi] =toeplitzmtx (m,n)%TOEPLITZMTX Summary of Thisfunction goes here%Generate Toeplitz Matrix% M--RowNumber% N--ColumnNumber% Phi--The Toeplitz matrix%%Generate a random vector% %(1) Gauss% u

NumPy and Matlab Calculate the difference of covariance matrices (matlab is standard, numpy equivalent to post-transpose calculation)

MATLAB is standard, numpy equivalent to the post-transpose calculation>> x = [2,0,-1.4;2.2,0.2,-1.5;2.4,0.1,-1;1.9,0,-1.2]x =2.0000 0-1.40002.2000 0.2000-1.50002.4000 0.1000-1.00001.9000 0-1.2000>> CoV (x)Ans =0.0492 0.0142 0.01920.0142 0.0092-0.00580.0192-0.0058 0.0492>> xt=x 'XT =2.0000 2.2000 2.4000 1.90000 0.2000 0.1000 0-1.4000-1.5000-1.0000-1.2000>> CoV (XT)Ans =2.9200 3.1600 2.9500 2.67003.1600 3.4300 3.1750 2.88502.9500 3.1750 3.0100 2.70502.6700 2.8850 2.7050 2.4433Np.array (x). TArray

Affine transformation matrix affine transformation matrices and OpenGL

shear compound Effect: Rotation transform (Rotation)The target graph rotates theta radians clockwise around the origin, and the transformation matrix is: Effect: Combination Rotation transformation, the target graph rotates theta radians clockwise (x, y), and the transformation matrix is: The equivalent of two translation transformations and one-time Origin rotation transformation: Move to the center node first, then rotate, and then move back. Reference:Http://wenku.baidu.com/link?url= At

Leetcode 2D Matrix (search 2D matrices)

translation写一个高效算法用于在一个m x n的矩阵中查找一个值。这个矩阵有如下属性:每行的整型数都是从左到右排序的。每行的第一个元素都比上一行的最后一列大。例如,考虑如下矩阵:[ [1, 3, 5, 7], [10111620], [233034503,返回true。OriginalWrite an efficient algorithm thatSearches forA valueinchAn M x n matrix. This matrix has theFollowing properties:integersinchEach row is sorted fromLeft toRight. The First integer ofEach row is Greater than the Last integer of thePrevious row. For Example,consider theFollowing matrix:[[1,3,5,7], [Ten, One, -, -], [ at, -, the, -]]given

poj1050 Maximum sub-matrices and

This is read the other people's report written, it is often a good idea.The question is to the effect. Given an n-order matrix (Phalanx), there is a number in each element. The task is to find the largest sub-matrix so that the maximum between the matrix elements.n=100;1. Matrix A[m][n] and capable of direct sum+=a[i][j] (i = 0 to n-1 j=0 to n-1); It is also possible to find out the and p[i of column I, and add up the column (of course, the same).2. So the row K of the selected matrix can be enu

Symmetric matrices a simple trick.

Using System;Using System.Collections.Generic;Using System.Linq;Using System.Text;Using System.Threading.Tasks;Namespace ConsoleApplication13{Class Program{static void Main (string[] args){while (true){Console.WriteLine ("Please enter the rank of matrix!! ");int M = Int. Parse (Console.ReadLine ());string[,] A = new string[m, M];Random r = new Random (System.Guid.NewGuid (). GetHashCode ());for (int i = 0; i {for (int j = i; J {A[i, J] = R.next (1, 100). ToString ();}}for (int i = 0; i {for (int

The "Data structure" symmetric matrix and the compressed storage of symmetric matrices

Symmetric matrices:Set a n*n square a,a any element aij, when and only if AIJ = = Aji (0 such as the following matrix:650) this.width=650; "src="/e/u261/themes/default/images/spacer.gif "style=" Background:url ("/e/u261/lang/zh-cn/ Images/localimage.png ") no-repeat center;border:1px solid #ddd;" alt= "Spacer.gif"/>650) this.width=650; "src=" Http://s4.51cto.com/wyfs02/M02/7E/ED/wKioL1cNhDTx1gApAAAO50iPSO8800.png "title=" ey[j]x {) g_) ~om ' 8odt2s (t.png "alt=" Wkiol1cnhdtx1gapaaao50ipso8800.pn

Reprint: Covariance and covariance matrices

The main content of this paper is covariance and covariance matrix.The most basic three concepts we've seen in statistics are mean, variance , and standard deviation . Assuming that a collection of n samples is given, the formula is as follows The mean is the average of the description sample, and the standard deviation describes the average distance from each point of the sample set, reflecting the degree of walk of the sample. and SquareThe difference is just the square of the standard deviat

Opencv2 Learning: Calculating covariance matrices

, 121.5, 243, 364.5] Press any key to continue ...The results are the same as MATLAB calculations.There is also a relatively simple method, that is, using OpenCV's own function Calccovarmatrix to calculate.void Calccovarmatrix(inputarray samples, Outputarray covar, Outputarray Mean, int flags, int CType=cv_64f)Code:Mat Covar, means; Mat Data= (mat_float> (2,3) 1,2,3,Ten, -, -); cout"Data:"Endl; Calccovarmatrix (data, Covar, means, cv_covar_normal| Cv_covar_rows); cout "means:"Endl; cout"Cov

Understanding of matrices

potential to learn advanced non-linear knowledge. Our ancestors summed up a number of such things after a long life of practice. These numbers can be used to represent the number of objects, and the accumulation of the same objects, the old ancestors used the number of addition operation to express. A pile of steamed buns, eaten, is used to express the loss. But the addition and subtraction operation is not enough, then summed up your multiplication and division.So, the number (of these things)

[Easy] Search for two-dimensional matrices

Title Source: http://www.lintcode.com/zh-cn/problem/search-a-2d-matrix/You can accept the following procedures:1 classSolution {2 Public:3 /**4 * @param Matrix, a list of lists of integers5 * @param target, an integer6 * @return A Boolean, indicate whether matrix contains target7 */8 BOOLSearchmatrix (vectorint> > matrix,inttarget) {9 intn =matrix.size ();Ten if(n = =0) { One return false; A } - intm = matrix[0].size (); - in

UVA 11019 (Matrix matcher-vector values from iterators, ac automata match character matrices)

Problem HMatrix MatcherInput: standard inputOutput: Standard OutputGiven a N * M Matrix, your task is to find the number of occurences in an X * Y pattern.InputThe first line contains a single integer t (t≤15), the number of test cases.For each case, the first line contains the integers n and M (n, m≤1000). The next N lines contain M characters each.The next line contains the integers x and Y (x, y≤100). The next X lines contain Y characters each.OutputFor each case, output A, the number of occu

Codeforces 489F Special matrices

Test instructionsN (+) *n matrix each row of only two 1 now give the first m line ask there are several legitimate matricesIdeas:Just consider a few 1 on each column and then scan by row only 2 1 in each maintenance row so you can construct a legitimate matrixThen we define DP[I][J][K] to indicate that the scan to line I has j column is contains 1 1 of the K column is contains 2 1 of this time 500^3 array is not open so scroll iSo for Dp[i][j][k]If the n-j-k>=2 can choose two columns to fill 1 i

Topic 1180: Symmetric matrices

Title Description: Enter an n-dimensional matrix to determine whether it is symmetrical. Input: Enter the first line to include a number: N (1The next n rows, each containing the n number, represent the elements of the n*n matrix. Output: There may be multiple sets of test data, for each set of data,Output "yes!" Represents the matrix as a symmetric matrix.Output "no!" Indicates that the matrix is no

DirectX vectors and matrices

,0.0f, the 1.0f,2.0f,3.0f,1.0f); + - D3dxmatrix B; theD3DXMatrixIdentity (B);Bayi the //Matrix-matrix Multiplication theD3dxmatrix C = A *B; - - D3dxmatrix D, E, F; the theD3dxmatrixtranspose (d, A); the theD3dxmatrixinverse (e,0, A); - theF = A *E; the theD3dxvector4 P (2.0f,2.0f,2.0f,1.0f);94D3dxvector4 Q (2.0f,2.0f,2.0f,0.0f); the D3dxvector4 R, S; the theD3dxvec4transform (r, p, A);98 AboutD3dxvec4transform (s, q, A); - 101cout "A ="Endl;102cout "B ="Endl;103cout

Matrix inversion (i): algebraic cofactor and adjoint matrices

toTemprankIf noti = AIAndAlso notj = AJ ThenTempdet.item (i-IIf(I > AI,1,0), J-IIf(J > AJ,1,0)) =Amatrix.item (i, J)End If Next Next ReturnMath.pow (-1, AI + aJ) * Tempdet.value'return algebraic cofactor type End Function  2) Adjoint matrix 'adjoint Matrix " " " "returns the adjoint matrix of a matrix" " " " Original Matrix " " " " Public Shared FunctionAdjointmatrix (ByValAmatrix asMatrix) asMatrixDimTempmatrix as NewMatrix (Amatrix. Row

[Leetcode] Search a 2D Matrix II searches for two-dimensional matrices

characteristics. If we look at the example given in the topic, we can see that there are two locations where the number is very characteristic, the lower left and the upper right corner. The lower left 18, all the number to a small, to the right of all the number increase, then we can compare with the target number, if the target number is large, go to the right, if the target number is small, go to the left search. This makes it possible to determine whether the target number exists. Of course

The rank and subspace of matrices

Suppose that matrix A is a m*n matrix:1. The number of column rank of the matrix column is rank (a), the rank of 0 space of the matrix (that is, the space composed of all the x in ax=0) is the number of the column where the free variable is located n-rank (a)2. The line rank of the matrix equals the column rank equals rank (a), the left 0 space of the matrix (that is, the space made up of all the x in A^tx=0, T is the transpose), and the rank of M-rank (a)Notice: Understanding subspace is a line

Fibonacci Series--a power solution of matrices

Topic:The recursive formula for the Fibonacci sequence is as follows:F (0) = 0;F (1) = 1;F (n + 2) = f (n + 1) + f (n);The result of finding the value of the nth item of the sequence number to 10000. (0To solve the Fibonacci sequence, if n is relatively small, the table can be solved directly, but it is not applicable for large n cases.So, some people will think of high-precision calculation, but, N to reach 10^5 above, time complexity is unimaginable, each calculation of a number, the need for

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