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  2. Inverse function - Wikipedia

    en.wikipedia.org/wiki/Inverse_function

    Sometimes, this multivalued inverse is called the full inverse of f, and the portions (such as √ x and − √ x) are called branches. The most important branch of a multivalued function (e.g. the positive square root) is called the principal branch , and its value at y is called the principal value of f −1 ( y ) .

  3. Inverse Symbolic Calculator - Wikipedia

    en.wikipedia.org/wiki/Inverse_Symbolic_Calculator

    Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants. Plouffe's Inverter (opened in 1998) contains 214 million. A newer version of the tables with 3.702 billion entries (as of June 19, 2010) exists.

  4. Computer algebra system - Wikipedia

    en.wikipedia.org/wiki/Computer_algebra_system

    Other early handheld calculators with symbolic algebra capabilities included the Texas Instruments TI-89 series and TI-92 calculator, and the Casio CFX-9970G. [2] The first popular computer algebra systems were muMATH, Reduce, Derive (based on muMATH), and Macsyma; a copyleft version of Macsyma is called Maxima. Reduce became free software in ...

  5. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    For example, the inverse of 3 modulo 11 is 4 because 4 ⋅ 3 ≡ 1 (mod 11). The extended Euclidean algorithm may be used to compute it. The sedenions are an algebra in which every nonzero element has a multiplicative inverse, but which nonetheless has divisors of zero, that is, nonzero elements x, y such that xy = 0.

  6. Mathematical software - Wikipedia

    en.wikipedia.org/wiki/Mathematical_software

    A solver is a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem.A solver takes problem descriptions in some sort of generic form and calculates their solution.

  7. Invertible matrix - Wikipedia

    en.wikipedia.org/wiki/Invertible_matrix

    The following statements are equivalent, i.e., they are either all true or all false for any given matrix: [3] A is invertible, i.e. it has an inverse under matrix multiplication, i.e., there exists a B such that AB = I n = BA. (In this statement, "invertible" can equivalently be replaced with "left-invertible" or "right-invertible", in which ...

  8. Involution (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Involution_(mathematics)

    Any involution is a bijection.. The identity map is a trivial example of an involution. Examples of nontrivial involutions include negation (x ↦ −x), reciprocation (x ↦ 1/x), and complex conjugation (z ↦ z) in arithmetic; reflection, half-turn rotation, and circle inversion in geometry; complementation in set theory; and reciprocal ciphers such as the ROT13 transformation and the ...

  9. Moore–Penrose inverse - Wikipedia

    en.wikipedia.org/wiki/Moore–Penrose_inverse

    In mathematics, and in particular linear algebra, the Moore–Penrose inverse ⁠ + ⁠ of a matrix ⁠ ⁠, often called the pseudoinverse, is the most widely known generalization of the inverse matrix. [1] It was independently described by E. H. Moore in 1920, [2] Arne Bjerhammar in 1951, [3] and Roger Penrose in 1955. [4]