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An unpublished computational program written in Pascal called Abra inspired this open-source software.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 ...
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
Different programming languages have adopted different conventions. For example: Pascal chooses the result of the mod operation positive, but does not allow d to be negative or zero (so, a = (a div d) × d + a mod d is not always valid). [4] C99 chooses the remainder with the same sign as the dividend a. [5] (Before C99, the C language allowed ...
Java's java.math.BigInteger class has a modPow() method to perform modular exponentiation; MATLAB's powermod function from Symbolic Math Toolbox; Wolfram Language has the PowerMod function; Perl's Math::BigInt module has a bmodpow() method to perform modular exponentiation; Raku has a built-in routine expmod.
A variant of the MATLAB language is the GNU Octave language, which extends the original language with augmented assignments: A += B ; Both MATLAB and GNU Octave natively support linear algebra operations such as matrix multiplication, matrix inversion , and the numerical solution of system of linear equations , even using the Moore–Penrose ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
matrix-free save memory: Yes No Yes matrix-free speed-up: Yes No Yes Used language: Native language: Primarily C++ and Java C++ C++ C++ Fortran (2008 standard) C++ C++ Matlab / Octave Bindings to language: Full API for Java and Matlab (the latter via add-on product) PyMFEM (Python) Python, Scilab or Matlab Python bindings to some functionality
Matrix Toolkit Java (MTJ) is an open-source Java software library for performing numerical linear algebra. The library contains a full set of standard linear algebra operations for dense matrices based on BLAS and LAPACK code. Partial set of sparse operations is provided through the Templates project.