Sentence examples for for a homogeneous function from inspiring English sources

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

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).

If,,, is a homogeneous function of degree in, and for any,, then for,,, (2.5)., and, one has the following equivalent inequalities: (2.6).

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

Theorem A. If is a homogeneous function of degree in,,, and, then for,, and, one has (1.1).

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

where is a homogeneous function of a degree not above 1,, and by (1.9),, and let, for all ; then.

If is a homogeneous function of -degree, and is a positive number, then (i) (ii) for setting the weight functions as (2.3).

Ω is a homogeneous function of degree zero on R n ∖ { 0 }, i.e., Ω ( t x ) = Ω ( x ) for any  t > 0  and  x ∈ R n ∖ { 0 }.

This suggests a homogeneous function of LXR targets independent of possible different regulatory mechanisms.