Sentence examples for homogeneous functioning from inspiring English sources

In soil, the horizon is usually considered to be elementary and homogeneous functioning system in the description of gas and water functioning.

Homogeneous functions and algebraic K-theory (with R. Laubenbacher), in preparation.

The normal derivation of the Gibbs-Duhem equation is performed using the theorem of Euler under the presupposition that the energy is a homogeneous function of order one.

It is a homogeneous function of degree (−2), and then for 2πN-symmetric vortex configurations can be expressed in terms of the so-called correlation coefficient.

Since we may deal with the initial data in the weak Lp-spaces, the existence of self-similar solutions provided the initial data are small homogeneous functions.

As in other cases of nonlinear estimation with integrated processes and unlike stationary process asymptotics, the properties of the nonlinear transformations affect the asymptotics and, in particular, give rise to parameter dependent rates of convergence and differences between the limit results for integrable and asymptotically homogeneous functions.

To prove this, we consider the analogous Sobolev space W̊k,1 of the homogeneous type and show that a nonconstant homogeneous function of degree zero cannot be a Fourier multiplier of W̊k,1(Rn) (Theorem 2).

The yield surface is represented by a recently developed generic format, combining the section forces into a homogeneous function of degree one and permitting smooth transition between regions with large and more moderate curvature.

This representation is the sum of a first term involving the absolutely continuous component of the measure and of a second one which is a positively homogeneous function of the singular part.

We give the precise asymptotic behavior of the Boolean radius of several natural subclasses of functions on finite Boolean cubes, as e.g. the class of all real functions on {−1,1}N, the subclass made of all homogeneous functions or certain threshold functions.

We proceed with some special homogeneous functions.