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In mathematics, an alternating series is an infinite series of terms that alternate between positive and negative signs. ... If s is a complex number, ...
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.
An alternating associator is always totally skew-symmetric. ... algebra of dimension 8 over the real numbers. [3] ... rings and algebras", Encyclopedia of Mathematics
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.
In mathematics, the harmonic series ... Another proof that the harmonic numbers are ... is known as the alternating harmonic series. It is conditionally convergent by ...
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.
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 ).
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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