Bond orders and hybrid populations have been calculated from the density matrix localized in molecular space using similarity transformation for some fluorobenzene with the minimal basis set using Gaussian series of program. The ab initio bond orders and hybrid populations have been compared with the ...
A mapping that associates with each square matrixPthe matrixQ=R-1PR, whereRis a nonsingular matrix andR-1is the inverse matrix ofR; ifPis the matrix representation of a linear transformation, then this definition is equivalent to the second definition. ...
On the reduction of a matrix to triangular or diagonal form by consimilarity This leads to natural analogs of spectral theory both for general S and for unitary S. There is an application to the simultaneous reduction of a family of matrices under this transformation... YP Hong,RA Horn - ...
Let S(A) be the similarity class of an n×n diagonal matrix A with distinct eigenvalues and nonzero trace. The form of a linear transformation on the n×n matrices that preserves S{A) is determined.William WatkinsCalifornia state UniversityNorthridgeLinear and Multilinear Algebra...
Also calledhomothetic transformation.a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements. an operation performed upon a square matrix that leaves invariant its characteristic polynomial, trace, and...
Affine transformation matrix 仿射变换矩阵 变换模型是指根据待匹配图像与背景图像之间几何畸变的情况,所选择的能最佳拟合两幅图像之间变化的几何变换模型。可采用的变换模型有如下几种:刚性变换、仿射变换、透视变换和非线形变换等,如下图: 仿射变换(Affine Transformation) Affine Transformation是一种二维坐标到二维坐标...
Bernoulli Mixture Models and Similarity-Based Prediction Completely Positive Similarity Kernels Transformation from Similarity Matrix to Bernoulli Mixture Model Numerical Experiments of Reciprocal Recommendation Discussions and Concluding Remarks Author Contributions Funding Conflicts of Interest Referencesshare...
matrixWf, two corresponding matrices were derived: 1)Pf, which contains thefullsimilarity information of each subject to all others; 2)Sf, which only carries the importantsparsesimilarity information of each subject with itsKnearest neighbors. The matrixPfwas obtained by normalizing the similarity ...
Pre-processing Transformation 2 (T2). Local translation. Given a matrix, one subtracts its minimum value from each entry, thus getting a new matrix with a minimum equal to zero. Being a translation, this transformation preserves the relative differences between the entries of the matrix (z-valu...
Y coordinates of the transformed points. HomMat2D(output_control)hom_mat2d→(real) Output transformation matrix. 可能的后置算子 affine_trans_image,affine_trans_image_size,affine_trans_region,affine_trans_contour_xld,affine_trans_polygon_xld,affine_trans_point_2d ...