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・ N-Sulfinylaniline
・ N-sulfoglucosamine sulfohydrolase
・ N-sulfoglucosamine-3-sulfatase
・ N-Terminal peptide of proopiomelanocortin
・ N-terminal prohormone of brain natriuretic peptide
・ N-terminal telopeptide
・ N-terminus
・ N-tert-Butylbenzenesulfinimidoyl chloride
・ N-Toon
・ N-topological space
・ N-Town Plays
・ N-Track Studio
・ N-Train
・ N-Trance
・ N-Trance discography
N-transform
・ N-Triples
・ N-tv
・ N-Tyce
・ N-type calcium channel
・ N-universes
・ N-up
・ N-VCT
・ N-vector
・ N-vector model
・ N-version programming
・ N-Vinylacetamide
・ N-Vinylcarbazole
・ N-Vinylpyrrolidone
・ N-water ripple (n hieroglyph)


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N-transform : ウィキペディア英語版
N-transform

In mathematics, the Natural transform is an integral transform similar to the Laplace transform and Sumudu transform, introduced by Zafar Hayat Khan〔 in 2008. It converges to both Laplace and Sumudu transform just by changing variables. Given the convergence to the Laplace and Sumudu transforms, the N-transform inherits all the applied aspects of the both transforms. Most recently, F. B. M. Belgacem〔 has renamed it the natural transform and has proposed a detail theory and applications.〔〔
==Formal definition==
The natural transform of a function ''f''(''t''), defined for all real numbers ''t'' ≥ ''0'', is the function ''R''(''u'', ''s''), defined by:
: R(u, s) = \mathcal\ = \int_0^\infty f(ut)e^\,dt.\qquad(1)
Khan〔 showed that the above integral converges to Laplace transform when ''u'' = 1, and into Sumudu transform for ''s'' = 1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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