Cauchy principal value

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Cauchy principal value

[kō·shē ¦prin·sə·pəl ¦val·yü]
(mathematics)
Also known as principal value.
The Cauchy principal value of provided the limit exists.
If a function ƒ is bounded on an interval (a,b) except in the neighborhood of a point c, the Cauchy principal value of provided the limit exists.
References in periodicals archive ?
The technique of neglecting appropriately defined infinite quantities was devised by Hadamard, and the resulting finite value extracted from a divergent integral is referred to as the Hadamard finite part.
Using this capability in conjunction with advanced probing routines eliminates the need for time-consuming finite part alignment, resulting in a substantial reduction in part set-up time.
I don't believe in a novel until I get to the really finite part of rewriting it.
They have no domestic markets and suddenly they're competing for a finite part of the market in Europe, the United States, Africa.
This is what director of rugby John White calls the finite part of their season.
Ross provides the following general definitions of the latter terms: "An organic relation describes a set of objects integrated in such a way that they are all bound together by a common teleology, each animated by the desire to take part in a whole that has a continuity that transcends that of the finite parts.
He mentioned that whatever nature divides stays in it endlessly in actuality, and that bodies are composed of compounded finite parts.
Also the finite parts of the radiative corrections are fixed.
However, Bernoulli does not give any explicit indication that he concedes Leibniz's point that an infinitude of finite parts need not necessarily sum to an infinite magnitude.