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・ N-Butanol
・ N-Butylamine
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・ N-carbamoyl-L-amino-acid hydrolase
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N-curve
・ N-Cyclohexyl-2-pyrrolidone
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N-curve : ウィキペディア英語版
N-curve

We take the functional theoretic algebra ''C''() of curves. For each loop ''γ'' at 1, and each positive integer ''n'', we define a curve \gamma_n called ''n''-curve. The ''n''-curves are interesting in two ways.
#Their f-products, sums and differences give rise to many beautiful curves.
#Using the ''n''-curves, we can define a transformation of curves, called ''n''-curving.
== Multiplicative inverse of a curve ==
A curve ''γ'' in the functional theoretic algebra ''C''(), is invertible, i.e.
: \gamma^ \,
exists if
: \gamma(0)\gamma(1) \neq 0. \,
If \gamma^=(\gamma(0)+\gamma(1))e - \gamma , where e(t)=1, \forall t \in (1 ), then
: \gamma^= \frac.
The set ''G'' of invertible curves is a non-commutative group under multiplication. Also the set ''H'' of loops at 1 is an Abelian subgroup of ''G.'' If \gamma \in H, then the mapping \alpha \to \gamma^\cdot \alpha\cdot\gamma is an inner automorphism of the group ''G.''
We use these concepts to define ''n''-curves and ''n''-curving.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「N-curve」の詳細全文を読む



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