Sentence examples for suppose function from inspiring English sources

Suppose function (fin operatorname{QUAD}(P,Delta )) and (mathcal{P}subset mathcal{Q}).

Let X be nonempty invex set in R n with respect to η : R n × R n → R n, where η satisfies Condition C. Suppose function f : X → R is semistrictly preinvex on X with respect to η.

Lemma 6 Let X be a nonempty invex set in R n with respect to η : R n × R n → R n, where η satisfies Condition C. Suppose function f : X → R is G-preinvex on X with respect to η.

Suppose function g in Eq. (1) with two variables x 1 and x 2. Transform the variables into standard normalized random variables u 1 and u 2 : u i = x i - μ x i σ x i (2). Figure 5 shows geometrical interpretation of the most probable point in a two-dimensional space and function g expressed in Eq. 1. Figure 6 shows this interpretation in a three-dimensional graph.

Proof Suppose functions w, v ∈ C 1 ∩ C 2.

The larger lesson is that the form of an urban space is often more important than its supposed function.

Most damningly of all for the book's supposed function as a high-class self-help text, De Botton consistently writes about the contemporary world as though he has heard reports of it but never actually been there.

This review describes the actual or supposed function of the various CAM subsets in the sequential series of events that underlie vascular changes during tumor angiogenesis.

This is in agreement with the supposed function of these proteins in NPQ [ 18, 23, 25].

In order to further test this hypothesis, we generated AtPP2-A1-overexpression plants and investigated them to elucidate the supposed function of AtPP2-A1.

RA is mentioned early (first mentioned without definition; also not defined in Figure 1 legend) and often, but its supposed function and anatomic definition is not given.