Sentence examples for the maximum exists from inspiring English sources

With ( Z = 0 ), the maximum exists where the curve turns flat, forming a company size of ( S_{Z = 0} ).

For every A, B ∈ CL ( X ), let H ( A, B ) = { max { sup x ∈ A d ( x, B ), sup y ∈ B d ( y, A ) } if the maximum exists ; ∞ otherwise.

Since the noise variance is strict positive, standard arguments can be used to show that with our choice of the utility functions, the maximum exists.

When ( Z > 0 ), the maximum exists at the point that the slope of the income curve is tangent to the indifference curve between income and size of the work group.

For every A, B ∈ C L X X ), let H ( A, B ) = { max { sup x ∈ A d ( x, B ), sup y ∈ B d ( y, A ) }, if the maximum exists ; ∞, otherwise.

For every (A, B inoperatorname{CL}(X) ), let H A,B) = begin{cases} max {sup_{xin A}d x,B),sup_{yin B}d y,A) }&mbox{if the maximum exists}; infty&mbox{otherwise.} end{cases} (1) Such a map H is called the generalized Hausdorff metric induced by d.

A maximum exists in the potential dependence of the pit initiation rate.

This maximum exists as the coefficients of q.s.o. are not greater than 1.

The total contract value under management for each sport was then multiplied by the maximum agent commission (or average where no maximum exists) as allowed by each respective players' association.

The total contract value under management for each sport was then multiplied by the maximum agent commission (or average where no maximum exists) as allowed by each respective players' association: NFL (3%), NHL (4%), NBA (4%), MLB (5%), FIFA (10%).

The loglikelihood function is globally concave, and hence a global maximum exists.