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Words related to cauchy
Cau·chy
C c -
cauchy integral formula
a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. -
cauchy integral theorem
the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero. -
cauchy sequence
fundamental sequence. -
cauchy's inequality
Schwarz inequality (def 1). -
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fundamental sequence
an infinite sequence, x 1 , x 2 , …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn = y if and only if for every ε>0, there exists a number N such that i > N and j > N implies | xi − xj |< ε. Also called Cauchy sequence, convergent sequence. Compare complete (def 10b).