An even-positive function is an even function k given on a nuclear space Φ and satisfying the following condition: ∑ i,j=1 n k(t (i) +t (j) )+k(t (i) -t (j) ) 2ξ i ξ j ≥0,n,t (1) ,···,t (n) ∈Φ,ξ 1 ,···,ξ n ∈· Any such function, if it...
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Recall that an even function is a function such that {eq}f (-x) = f (x) {/eq}. In other words, an even function is symmetric about the y-axis. Since an integral tells us the area of a region below a curve and above the x-axis, whenever we have an even function over a ...
1. the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x) Adjective 1. existing as an essential constituent or characteristic; "the Ptolemaic system with its built-in concept of periodicity" "a constitutional inability to tell the truth" ...
Integral of Even and Odd Functions: We will use the following to solve the problem We say that f is even if f(x)=−f(x) and f is uneven if f(x)=−f(−x). f(x)=xn is an even function if n is even and an uneven function if n is uneven....
Odd and even function's integral calculation is a kind of particular operation in integral calculus,if the character of odd and even function can be applied flexibly in the process of calculating,it will play a role of simplifying calculation.This article discusses integral calculation of odd and...
The meaning of ITERATED INTEGRAL is an integral of a function of several variables that is evaluated by finding the definite integral with respect to one variable and then the definite integral of the result with respect to the second and so continuing u
摘要: The paper draws some conclusions about generalized integral of odd and even function in infinite interval(-∞,+∞),which brings about some convenience to the calculation of generalized integral.关键词: odd function even function generalized integral striction and amplification ...
However, for a general monotone set function (fuzzy measure) we cannot get an acceptable integral applying the above mentioned construction methods. Therefore, some modified integral construction has to be applied, all adapted to the most expressive property of a general fuzzy measure: its monotonicit...
Integral Proteins: The Role of Transporters and Channels Another important function of an integral protein is transporting molecules across the cell membrane and this transport is important in the uptake of nutrients and in the removal of wastes as well as in maintaining the ionic balance in cells...