Sentence examples for attain its maximum at from inspiring English sources

Let f attain its maximum at the point L ∗ of [ 0, L ].

Let a function (fin H^{1}(0,T)) attain its maximum at a point (t_{0}in [0,T]) and (0<alpha<1).

By an easy calculation, we see that f ″ ( 1 ) = r s α ( 1 − α ) ( r − s ) ≤ 0. It follows that f attains its maximum at t = 1.

If this quantity is positive, D P attains its maximum at D 3, while if it is negative the maximum is attained at D 3 or 1 2 D 2, whichever is smaller.

By the continuity of, attains its maximum at some point, and we denote it by, that is,, where.

Either f attains its maximum at an endpoint, x = a or x = b, or it attains a maximum for some x inside this interval.

This result is consistent with the recently proven theorem that the phase-space Shannon information entropy attains its maximum at constant temperature.

If X is a compact convex set in a real locally convex space, B⊂X is said to be its boundary if every affine continuous function on X attains its maximum at some point of B. We study relations between fragmentability of B and the whole set X.

Therefore, the function attains its maximum at s = 1/2.

Obvious, g(t) attains its maximum at t = 1/2.

Noting that attains its maximum at, thus when,.