Sentence examples for integral on the from inspiring English sources

What is a sensible value for Integral on the interval [0, 1 ] of ∫ 01f(x dx?

The double integral for flux now becomes double integral on the sphere of z^2 over a dS.

The integral Integral on the interval [C, ] of ∫ C f z dz of an analytic function f along a curve (or contour) C in the complex plane is defined in a similar manner to the real Riemann integral.

In fact, Integral on the interval [a, b ] of ∫ abg(x dx = b − a. Lebesgue reasoned that the same result ought to hold for f but he knew that it would not if the integral were defined in Riemann's manner.

In 2011 I was involved in proposing a positive quantity that decreases along any renormalization group flow from one three-dimensional CFT to another: it is minus the logarithm of the path integral on the three-dimensional sphere.

When we set up a surface integral on the surface of a sphere, most likely we will be using phi and theta as our two variables of integration and dS will become this.

We study an operator analogue of the classical problem of finding the rate of decay of an oscillatory integral on the real line.

First, we apply the numerical steepest descent path (NSDP) method to calculate the highly oscillatory PO integral on the triangular patch.

The Rayleigh integral on the plate surface is coupled with the derived finite element formulation to model acoustic fluid structure interaction of the baffled laminated plate subjected to heavy fluid loading.

Note that the improper integral on the right is divergent.

For (n>m), the integral on the left, using Eqs.