A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical res...

the principle of dimensionality reduction with pca is the representation of the dataset ‘x’in terms of eigenvectors ei ∈ rn  of its covariance matrix. the eigenvectors oriented in the direction with the maximum variance of x in rn carry the most      relevant information of x. these eigenvectors are called principal components [8]. assume that n images in a set are originally represented in mat...

We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular hermitian metric $h$ analytic singularities on holomorphic vector bundle $E$. The currents are constructed as pushforwards of generalized Monge-Amp\`ere products the projectivization represent classes $E$, respectively, coincide forms $E$ $h$, where is smooth. Moreover, our by first three authors ...