Search results

{{R|Integral equation}}

...l around a simple closed curve <math>\partial\Omega</math> with the double integral over the plane region <math>\Omega\,</math>. This formula gives a relationship between the area of a region and the line integral around its boundary.

{{r|Integral}}

{{r|Integral}}

...ction is defined as a solution of a simple [[differential equation]] or an integral of an [[elementary function]], or an [[inverse function]] of some [[element

Auto-populated based on [[Special:WhatLinksHere/Integral]]. Needs checking by a human.

Auto-populated based on [[Special:WhatLinksHere/Integral domain]]. Needs checking by a human.

The argument, first given by Cauchy, hinges on [[Cauchy's integral formula]] and the power series development of the expression ...at open disk but farther from ''a'' than ''z'' is. Starting with Cauchy's integral formula, we have

{{r|Cauchy's integral formula}}

{{r|Integral domain}}

...pril 25, 1840) was a French mathematician known for his work on [[definite integral]]s, [[electromagnetism | electromagnetic theory]] and [[probability theory] [[Poisson's integral]], [[Poisson's equation]] in [[potential theory ]], [[Poisson's brackets]]

{{r|Integral}}

{{r|Integral domain}}

...tion ''f''(''x'') that vanishes for plus/minus infinity, the result of the integral is minus the function value for ''x'' = 0, ...hy principal value of the integral, i.e., exclude the singularity from the integral; we make the replacement

{{r|Integral}}

...ral]]s of entire functions, for example the [[error function]] erf, [[sine integral]] Si and the [[Bessel function]] ''J''₀ are also entire function ===Cauchy integral===

...integrand of the integral on the left-hand side may be taken constant, the integral becomes ...is a unit vector perpendicular to &Delta;''S''. The right-hand side is an integral over a small contour, say a small circle, and in total the curl may be writ

...on which is varying as the rocket's mass decreases from fuel usage, and an integral can take this complication into account. Finally, within calculus ''integra ...um of their individual areas. This is the basic meaning of integration: an integral is simply a sum of smaller parts that together add up to the whole.

[[integral equation|integral]] and [[functional equation|functional]] equations.

The integral operator that has the Green function as kernel may be seen as the inverse o ...'x''''', ''j'' &harr; '''''y''''', and compare the sum over ''j'' with the integral over '''''y''''', and the correspondence is evident.