Sentence examples for be an arbitrarily fixed from inspiring English sources
Let (x' in D) be an arbitrarily fixed point and denote by the weight space (C_{0}(D)) consisting of all continuous functions (h(x) in C(D backslash{ x' })), such that lim_{x to x'} biglvert bigl(x - x' bigr)h(x) bigrvert (3.7) exists.
where μ > 0 is an arbitrarily fixed constant.
where is an arbitrarily fixed constant and is the projection of onto.
where denotes the metric projection from onto and is an arbitrarily fixed positive constant.
where θ is an arbitrarily fixed constant such that 0 < θ < 1 − 2 α.
where is the (nearest point) projection from onto, that is, for each and where is an arbitrarily fixed constant.
where is an arbitrarily fixed number, and substitute (3.18) into (3.10), to see that satisfies (3.10) with a nonnegative forcing term.
We assume that X is an arbitrarily fixed nonempty and bounded subset of the Banach algebra B C ( R + ), that is, X ∈ M B C ( R + ).
Proof Set p ¯ ∗ = N p / ( N − p ) if N > p, and in the case of N ≤ p, p ¯ ∗ > p is an arbitrarily fixed constant.
It is also known that the VI(F, C) is equivalent to the fixed point equation x * = P C x * - μ F ( x * ), where P C is the projection of H onto the closed convex set C and μ > 0 is an arbitrarily fixed constant.
Daily lifetime expectancy (LTE t ), i.e. the number of days a newborn butterfly is expected to live, was computed from a virtual life table constructed from estimates of daily survival rate (φ t ) using the formula: L T E t = ∑ t = 1 k S t / S t with S t = S t -1· φ t -1 and S1 being an arbitrarily fixed initial population size (not affecting the resulting estimate of LTE t ).
