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  2. Alternating series - Wikipedia

    en.wikipedia.org/wiki/Alternating_series

    In mathematics, an alternating series is an infinite series of terms that alternate between positive and negative signs. ... If s is a complex number, ...

  3. Alternating permutation - Wikipedia

    en.wikipedia.org/wiki/Alternating_permutation

    In combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set {1, 2, 3, ..., n} is a permutation (arrangement) of those numbers so that each entry is alternately greater or less than the preceding entry.

  4. Alternative algebra - Wikipedia

    en.wikipedia.org/wiki/Alternative_algebra

    An alternating associator is always totally skew-symmetric. ... algebra of dimension 8 over the real numbers. [3] ... rings and algebras", Encyclopedia of Mathematics

  5. Alternating series test - Wikipedia

    en.wikipedia.org/wiki/Alternating_series_test

    In mathematical analysis, the alternating series test is the method used to show that an alternating series is convergent when its terms (1) decrease in absolute value, and (2) approach zero in the limit.

  6. Harmonic series (mathematics) - Wikipedia

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

    In mathematics, the harmonic series ... Another proof that the harmonic numbers are ... is known as the alternating harmonic series. It is conditionally convergent by ...

  7. Series (mathematics) - Wikipedia

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

    In mathematics, a series is, roughly speaking, an addition of infinitely many terms, one after the other. [1] The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures in combinatorics through generating functions.

  8. Alternating group - Wikipedia

    en.wikipedia.org/wiki/Alternating_group

    In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on a set of n elements is called the alternating group of degree n , or the alternating group on n letters and denoted by A n or Alt( n ).

  9. Alternating algebra - Wikipedia

    en.wikipedia.org/wiki/Alternating_algebra

    In mathematics, an alternating algebra is a Z-graded algebra for which xy = (−1) deg(x)deg(y) yx for all nonzero homogeneous elements x and y (i.e. it is an anticommutative algebra) and has the further property that x 2 = 0 for every homogeneous element x of odd degree.

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