Computer algebra systems


ALTRAN (ALgebraic TRANslator) is a programming language for the formal manipulation of rational functions of several variables with integer coefficients. It was developed at Bell Labs in 1960s. ALTRAN is a FORTRAN version of ALPAK rational algebra package, and “can be thought of as a variant of FORTRAN with the addition of an extra declaration, the ‘algebraic’ type declaration.” Although ALTRAN is written in ANSI FORTRAN, nevertheless there exist differences in FORTRAN implementations. ALTRAN handles machine dependencies through the use of a macro processor called M6. ALTRAN should not be confused with the ALGOL to FORTRAN Translator, called Altran, that "converts Extended Algol programs into Fortran IV." (Wikipedia).

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Linear Algebra for Computer Scientists. 1. Introducing Vectors

This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of f

From playlist Linear Algebra for Computer Scientists

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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | Mathematics

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Group Definition (expanded) - Abstract Algebra

The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin

From playlist Abstract Algebra

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23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

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Subfactorial of 1/2 (via an integral)

Ok, we did the regular factorial of 1/2 and now it's time for the subfactorial of 1/2. !(1/2) Imaginary error function, erfi(x): recursive formula for subfactorial: subfactorial of 0, 1/2 regular facto

From playlist Factorial Family, #MathForFun

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What is linear algebra?

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

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A. Guionnet - Pavages aléatoires

Considérons le problème de paver un domaine par des losanges. Quand cela est possible, nous pouvons tirer un pavage au hasard dans tous les pavages possibles. De quoi a l'air ce pavage ? Nous discuterons de cette question ancienne.

From playlist 70 ans des Annales de l'institut Fourier

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SHM 18/10/2019 - Étudier Ulisse Dini : entre mathématiques et vie politique - Bottazzini

Bottazzini (Università degli studi di Milano) / 18.10.2019 Étudier Ulisse Dini : entre mathématiques et vie politique ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook :

From playlist Séminaire d'Histoire des Mathématiques

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Linear Algebra for Computer Scientists. 7. Linear Combinations of Vectors

This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about linear combinations of vectors, that is, you will learn how to create new vectors by scaling then adding other vectors together. You will also learn that some sets

From playlist Linear Algebra for Computer Scientists

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Sylvie Méléard - Stochastic modeling of Darwinian evolution in a chemostat­

Sylvie Méléard (Ecole Polytechnique) We consider a stochastic model describing the Darwinian evolution of a polymorphic population with mutation and selection in a multi-resource chemostat. The interactions between individuals occur by way of competition for resources whose concentrations

From playlist Schlumberger workshop on Topics in Applied Probability

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Lec 02. Cartesian Formulas and Circles College Algebra with Dennis Allison

See full course at: Video taken from: Lecture by Dennis Allison from Utah Valley University.

From playlist UVU: College Algebra with Dennis Allison | CosmoLearning Math

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1 Vectors

A short refresher on vectors. Before I introduce vector-based functions, it's important to look at vectors themselves and how they are represented in python™ and the IPython Notebook using SymPy.

From playlist Life Science Math: Vectors

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What is Abstract Algebra? (Modern Algebra)

Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t

From playlist Abstract Algebra

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Linear Algebra for Beginners

Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0

From playlist Linear Algebra

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The Difference Between an Expression and an Equation

This video explains the difference between an expression and an equation. Site: Blog:

From playlist Introduction to Linear Equations in One Variable

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Isoperimetry and boundaries with almost constant mean curvature - Francesco Maggi

Variational Methods in Geometry Seminar Topic: Isoperimetry and boundaries with almost constant mean curvature Speaker: Francesco Maggi Affiliation: The University of Texas at Austin; Member, School of Mathematics Date: February 12, 2019 For more video please visit

From playlist Variational Methods in Geometry

Related pages

Rational function | Reduce (computer algebra system) | FORMAC | Polynomial