Sentence examples for differentiation integral from inspiring English sources

Oriented to reduce the adverse effects of numerical differentiation, integral equation formulations based on Green's function methods have been considered, in the chemical engineering fields.

In this section, we introduce Bernoulli polynomials and their properties such as differentiation, integral means conditions, etc. Obviously, Bernoulli polynomials are not orthonormal polynomials, we orthonormal these polynomials by Gram-Schmidt algorithm.

Vector algebra, partial differentiation, multiple integrals, and vector calculus.

Brief Course Description: Covers largely the same mathematical topics as MAT201, namely vectors, lines, planes, curves, and surfaces in 3-space and more generally in n-space; limits, continuity, optimization, differentiation and integration of functions of several variables; vector fields, line integrals, flux integrals and integration theorems generalizing the Fundamental Theorem of Calculus.

The general rule for differentiation under the integral sign.

The word alone is enough strike terror into the hearts of even the most accomplished students, but for those who break out in cold sweats at the thought of differentiation rules and integral tables, researchers Philip Sadler and Gerhard Sonnert bring a message of hope.

We remark once more that the operator is uniformly elliptic due to the (epsilon - regularization, hence the differentiation under the integral can ben considered standard.

The approach of employing operational matrices of differentiation and integration is considered an important technique for solving various kinds of differential and integral equations.

The fractional derivative and fractional integrals are the main tools in fractional calculus, where the order of differentiation or integration is not an integer.

Fractional calculus is as old as the conventional calculus, and it is the generalization of integral order differentiation and integration to arbitrary non-integer order.

This formulation has a form involving the observer time differentiation outside the integrals.