Sentence examples for assumed to be a harmonic function from inspiring English sources

The time-dependent velocity is assumed to be a harmonic function about a mean velocity.

The transverse and circumferential displacements are assumed to be harmonic and expanded in the form of a finite series of functions.

First, the transverse displacement is assumed to be harmonic and is expanded in the form of a finite series of functions.

In the present work, the transverse displacement is assumed to be harmonic and is expanded in the form of a finite series of functions corresponding to the constrained vibrations, which exclude the axisymmetric displacements.

The displacements are assumed to be harmonic in time and are expanded space-wise in terms of polynomial basis functions which satisfy the boundary conditions exactly.

The structure is assumed to be subjected to harmonic excitation in the analysis.

The coordinate P 1 ( 0.43870.4387 ) is chosen, where P 1 ∈ Π 0. The harmonic function u ( x, y ) = e x cos y (5.3). is assumed to be the exact solution.

(The argument principle for harmonic functions [5, 17]) Let H be a harmonic function in a Jordan domain D with boundary (Gamma).

Let be a harmonic convex set a function is called a harmonic convex (or concave, resp).

Because classical elasticity theory assumes that energy is a quadratic ("harmonic") function of strain, such models are collectively called "harmonic-elasticity" models; one example is the wormlike chain model.

Assume that (f:[0,1]tomathbb{R}) is a differentiable function such that (vert f^{prime} vert ^{q}) is a harmonic convex function on [0,1].