Sentence examples for a function with respect to from inspiring English sources

denotes the right-sided fractional integral of a function with respect to another function in.

denotes the left-sided fractional integral of a function with respect to another function in.

The crack spacing is determined as a function with respect to the geometries, material properties, and external loads.

Thus, a function with respect to ω can be established by f 1 2 + f 2 2 = 1.

The left- and right-sided fractional integrals of a function with respect to another function in are given by (2.63).

We continue with definitions and some properties of the fractional integrals of a function with respect to given function.

If a function u is both subfunction and superfunction, it is, clearly, continuous and is called an a-harmonic function (with respect to the Schrödinger operator Sch a ).

A meromorphic function a is called a small function with respect to f, provided that T (r, a) = S r, f).

A meromorphic function a ( z ) is called a small function with respect to f if T ( r, a ) = S ( r, f ).

A meromorphic function a ( z ) is said to be a small function with respect to f ( z ) if T ( r, a ) = S ( r, f ).

(a) Suppose that is a nondecreasing function with respect to and for.