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numpy.org. NumPy (pronounced / ˈnʌmpaɪ / NUM-py) is a library for the Python programming language, adding support for large, multi-dimensional arrays and matrices, along with a large collection of high-level mathematical functions to operate on these arrays. [3] The predecessor of NumPy, Numeric, was originally created by Jim Hugunin with ...
Random matrix. In probability theory and mathematical physics, a random matrix is a matrix -valued random variable —that is, a matrix in which some or all of its entries are sampled randomly from a probability distribution. Random matrix theory (RMT) is the study of properties of random matrices, often as they become large.
Pages in category "Random matrices". The following 20 pages are in this category, out of 20 total. This list may not reflect recent changes. Random matrix. Wigner surmise.
MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
A matrix whose elements are of the form 1/ (xi + yj) for (xi), (yj) injective sequences (i.e., taking every value only once). Centrosymmetric matrix. A matrix symmetric about its center; i.e., aij = an−i+1,n−j+1. Circulant matrix. A matrix where each row is a circular shift of its predecessor. Conference matrix.
Let X be a p × p symmetric matrix of random variables that is positive semi-definite. Let V be a (fixed) symmetric positive definite matrix of size p × p. Then, if n ≥ p, X has a Wishart distribution with n degrees of freedom if it has the probability density function
In Matlab/GNU Octave a matrix A can be vectorized by A(:). GNU Octave also allows vectorization and half-vectorization with vec(A) and vech(A) respectively. Julia has the vec(A) function as well. In Python NumPy arrays implement the flatten method, [note 1] while in R the desired effect can be achieved via the c() or as.vector() functions.
Euclidean random matrix. Within mathematics, an N × N Euclidean random matrix  is defined with the help of an arbitrary deterministic function f ( r, r ′) and of N points { ri } randomly distributed in a region V of d -dimensional Euclidean space. The element A ij of the matrix is equal to f ( ri, rj ): A ij = f ( ri, rj ).