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  2. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations .

  3. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    Manipulating expressions is the basis of algebra. Factorization is one of the most important methods for expression manipulation for several reasons. If one can put an equation in a factored form E⋅F = 0, then the problem of solving the equation splits into two independent (and generally easier) problems E = 0 and F = 0. When an expression ...

  4. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.

  5. Computer algebra - Wikipedia

    en.wikipedia.org/wiki/Computer_algebra

    Symbolic integration of the algebraic function f(x) = ⁠ x / √ x 4 + 10x 2 − 96x − 71 ⁠ using the computer algebra system Axiom. In mathematics and computer science, [1] computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other ...

  6. Category:Computer algebra systems - Wikipedia

    en.wikipedia.org/wiki/Category:Computer_algebra...

    symbolic manipulation engine, to simplify algebraic expressions, differentiate and integrate functions and solve equations; graphing facility, to produce graphs of functions, typically in two and three dimensions; linear algebra subsystem, to allow matrix computations and solving of systems of linear equations

  7. Tensor software - Wikipedia

    en.wikipedia.org/wiki/Tensor_software

    vmmlib [44] is a C++ linear algebra library that supports 3-way tensors, emphasizing computation and manipulation of several tensor decompositions. Spartns [45] is a Sparse Tensor framework for Common Lisp. FAstMat [46] is a thread-safe general tensor algebra library written in C++ and specially designed for FEM/FVM/BEM/FDM element/edge wise ...

  8. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization

  9. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Algebraic notation describes the rules and conventions for writing mathematical expressions, as well as the terminology used for talking about parts of expressions. For example, the expression + has the following components: Algebraic expression notation: 1 – power (exponent) 2 – coefficient 3 – term

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