Sentence examples for be a homogeneous function from inspiring English sources

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

Let be a homogeneous function of degree,, and ; then the function as follows has an upper bound for some constant.

Let Ω ∈ L 1 ( S n − 1 ) be a homogeneous function of degree zero and satisfy ∫ S n − 1 Ω ( u ) d σ ( u ) = 0. (1.1).

Let (01), (Omegain L^{s}(mathbb{S}^{mn-1})) be a homogeneous function of degree zero on (mathbb{R}^{mn}).

Let (omegain C mathbb{R}^{N}setminus{0})) be a homogeneous function of degree 0. Suppose (0<{sigma

Note that the function f in [14] has to be a homogeneous function, but in the present paper it is not the case.

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.

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

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).