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  2. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    a.e. – almost everywhere. AFSOC - Assume for the sake of contradiction. Ai – Airy function. AL – Action limit. Alt – alternating group (Alt ( n) is also written as A n.) A.M. – arithmetic mean. AP – arithmetic progression. arccos – inverse cosine function. arccosec – inverse cosecant function.

  3. Sum of squares - Wikipedia

    en.wikipedia.org/wiki/Sum_of_squares

    The squared Euclidean distance between two points, equal to the sum of squares of the differences between their coordinates. Heron's formula for the area of a triangle can be re-written as using the sums of squares of a triangle's sides (and the sums of the squares of squares) The British flag theorem for rectangles equates two sums of two squares.

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...

  5. Matrix (mathematics) - Wikipedia

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

    Matrix (mathematics) An m × n matrix: the m rows are horizontal and the n columns are vertical. Each element of a matrix is often denoted by a variable with two subscripts. For example, a2,1 represents the element at the second row and first column of the matrix. In mathematics, a matrix ( pl.: matrices) is a rectangular array or table of ...

  6. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies algebraic operations [ a] and algebraic structures. [ 2] An algebraic structure is a non-empty set of mathematical objects, such as the real numbers, together with algebraic operations defined on that set, such as addition and multiplication. [ 3] Algebra explores the laws, general ...

  7. Polynomial SOS - Wikipedia

    en.wikipedia.org/wiki/Polynomial_SOS

    In mathematics, a form (i.e. a homogeneous polynomial) h ( x) of degree 2 m in the real n -dimensional vector x is sum of squares of forms (SOS) if and only if there exist forms of degree m such that. Every form that is SOS is also a positive polynomial, and although the converse is not always true, Hilbert proved that for n = 2, 2 m = 2, or n ...

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