Sentence examples for a homogeneous function from inspiring English sources

Theorem 1. Suppose that is a homogeneous function of -degree, and is a positive number.

Recall that for a homogeneous function of degree,, equality is satisfied for every.

Note that the kernel is a homogeneous function of degree In this case we have (2.22).

As for the assumption of Lemma 2.1, if is a homogeneous function of degree in (2.3).

Let Ω ∈ L s (smn-1) for some s > 1 be a homogeneous function of degree zero on R mn.

Theorem C. If,,, is a homogeneous function of degree in, and for any,, then for,,,,, and, we have (1.3).

It must be noted that the heterogeneity is around 80% when an homogeneous function is evaluated, such as the IQ or specific models of memory functioning, The language functioning was evaluated in 70 works for a total of 6,396 cases (3,962 SG and 2,434 CG).

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.

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 term log m - log a p b p is the indirect utility function of a PIGLOG demand system and λ(p) is a differentiable, homogeneous function of degree zero of prices.

If, is a nonnegative homogeneous function of degree in with, and for any,, then and (2.1).