Sentence examples for a suppose from inspiring English sources
Theorem 5.1 (Aumann & Brandenburger 1995: Theorem A) Suppose that \(G\) is a 2-person strategic game, \((p_1,p_2)\) are conjectures for players 1 and 2, and \ \T\) is a type space for \(G\).
In the year 1960, Opial [1] established the following integral inequality: Theorem A Suppose f ∈ C1[0, h] satisfies f(0) = f(h) = 0 and f(x) > 0 for all x ∈ (0, h).
(a) Suppose that T satisfies condition ( P ).
(a) Suppose (z in Soperatorname{Fix}(T)).
We are interested in the frequency of a single allele with two types, A and a. Suppose the a allele has frequency f t at generation t for t = 0, …, T. The a allele has selection coefficient s so the relative finesses of the A and a genotypes are 1 and 1 + s.
Therefore, d ( a, f a ) = 0, that is, a = f a. Suppose that f has another fixed point w ∈ X ∖ { a }.
Assume the inheritance is equiprobable at a. Suppose there is a normal path from q1 to x1 ∈ X, from q2 to x2 ∈ X, and from a to y ∈ X.
Assume that ∥ A x ∥ ≤ ∥ A x − A p ∥ for all x ∈ C and p ∈ VI ( C, A ). Suppose that 0 < a < μ n < b = c 2 γ 2, where c is the constant in Lemma 2.1.
The beamwidth of antenna is θ b e t a. Suppose that the azimuth scanning region is fixed, the scanning region of azimuth dimension can be discretized as a M×1 target amplitude vector of x.
