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Multi-index notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory of distributions, by generalising the concept of an integer index to an ordered tuple of indices.
Core math functions include BLAS, LAPACK, ScaLAPACK, sparse solvers, fast Fourier transforms, and vector math. Intel IPP is a multi-threaded software library of functions for multimedia and data processing applications. OpenBLAS is an open source implementation of the BLAS API with many hand-crafted optimizations for specific processor types ...
Math.NET Numerics started 2009 by merging code and teams of dnAnalytics with Math.NET Iridium. It is influenced by ALGLIB, JAMA and Boost, among others, and has accepted numerous code contributions. [1] [2] It is part of the Math.NET initiative to build and maintain open mathematical toolkits for the .NET platform since 2002. [citation needed]
A vector treated as an array of numbers by writing as a row vector or column vector (whichever is used depends on convenience or context): = (), = Index notation allows indication of the elements of the array by simply writing a i, where the index i is known to run from 1 to n, because of n-dimensions. [1]
dc: "Desktop Calculator" arbitrary-precision RPN calculator that comes standard on most Unix-like systems. KCalc, Linux based scientific calculator; Maxima: a computer algebra system which bignum integers are directly inherited from its implementation language Common Lisp. In addition, it supports arbitrary-precision floating-point numbers ...
With the multi-index notation for partial derivatives of functions of several variables, the Leibniz rule states more generally: =: () (). This formula can be used to derive a formula that computes the symbol of the composition of differential operators.
This calculator program has accepted input in infix notation, and returned the answer , ¯. Here the comma is a decimal separator. Here the comma is a decimal separator. Infix notation is a method similar to immediate execution with AESH and/or AESP, but unary operations are input into the calculator in the same order as they are written on paper.
An unpublished computational program written in Pascal called Abra inspired this open-source software. Abra was originally designed for physicists to compute problems present in quantum mechanics. Kespers Peeters then decided to write a similar program in C computing language rather than Pascal, which he renamed Cadabra. However, Cadabra has ...