Alternating may refer to:
Mathematics
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Alternating algebra
In mathematics, an alternating algebra is a -graded algebra for which for all nonzero homogeneous elements and (i.e. it is an Graded-commutative ring, anticommutative algebra) and has the further property that (Nilpotent, nilpotence) for ever ...
, an algebra in which odd-grade elements square to zero
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Alternating form
In mathematics, the exterior algebra or Grassmann algebra of a vector space V is an associative algebra that contains V, which has a product, called exterior product or wedge product and denoted with \wedge, such that v\wedge v=0 for every vector ...
, a function formula in algebra
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Alternating group
In mathematics, an alternating group is the Group (mathematics), group of even permutations of a finite set. The alternating group on a set of elements is called the alternating group of degree , or the alternating group on letters and denoted ...
, the group of even permutations of a finite set
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Alternating knot, a knot or link diagram for which the crossings alternate under, over, under, over, as one travels along each component of the link
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Alternating map, a multilinear map that is zero whenever any two of its arguments are equal
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Alternating operator, a multilinear map in algebra
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Alternating permutation, a type of permutation studied in combinatorics
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Alternating series
In mathematics, an alternating series is an infinite series of terms that alternate between positive and negative signs. In capital-sigma notation this is expressed
\sum_^\infty (-1)^n a_n or \sum_^\infty (-1)^ a_n
with for all .
Like an ...
, an infinite series in which the signs of the general terms alternate between positive and negative
Electronics
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Alternating current
Alternating current (AC) is an electric current that periodically reverses direction and changes its magnitude continuously with time, in contrast to direct current (DC), which flows only in one direction. Alternating current is the form in w ...
, a flow of electric charge that periodically reverses direction
Other
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Alternating turns, the process by which people in a conversation decide who is to speak next
See also
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Alternate bass
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Alternative (disambiguation)
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