Sentence examples for hold l from inspiring English sources

(a) The family L = { L α : X × X → [ 0, ∞ ], α ∈ A }, A  - index set, is said to be a -family of generalized pseudodistances on X ( -family on X, for short) if the following two conditions hold: ( L 1 ) If α ∈ A and x, y, z ∈ X and if L α (x, z) and L α (z, y) are finite, then L α (x, y) is finite and L α (x, y) ≤ L α (x, z) + L α (z, y); and.

Then the following convolution theorem can hold: L q [ h ( t ) ∗ g ( t ) ] = L q [ h ( t ) ] L q [ g ( t ) ], (51a).

It is noted that for any q > 1, we have the proper inclusion relations hold: L q ( S n - 1 ) ⊂ L ( log L ) α ( S n - 1 ) ⊂ L 1 ( S n - 1 ), L ( log L ) β ( S n - 1 ) ⊂ L ( log L ) α ( S n - 1 ) if 0 < α < β.

Theorem 1.1 The following mean-inequalities hold: L 2 < P < B 2 / 3, L 4 < M < B 4 / 3, L 5 < T < B 5 / 3. Further these inequalities are the best possible i.e. L 2, L 4, L 5 are the best power logarithmic means lower bounds of P, M, T, while B 2 / 3, B 4 / 3, B 5 / 3 are the best power (binomial) means upper bounds of P, M, T, respectively.

Given an AF F = (A, R ), a function L : A → { in, out, undec } is a complete labeling iff the following conditions hold: L (a ) = in iff for each b with (b, a ) ∈ R, L (b ) = out.

Definition 4 Given an AF F = (A, R ), a function L : A → { in, out, undec } is a complete labeling iff the following conditions hold: L (a ) = in iff for each b with (b, a ) ∈ R, L (b ) = out.

They hold midnight sabbaths.

Many churches around the city hold midnight Christmas Eve Mass.

The process of awarding all contracts was put on hold last night as the inquiries got underway.

Hold morning meetings.

In the next result, we provide conditions in order to hold (7).