Sentence examples for continuous respect from inspiring English sources

This was to ensure full and continuous respect for the minimum level.

From Lemma 3.1, since we know that and are absolutely continuous respect to, and, the conclusions are in as follows.

The above equations imply the results in [1] for x = ± 1. On the other hand, since B m ( x ) is obviously continuous respect to x ∈ [ − 1, 1 ], we can certainly get B m ( ± 1 ) from Theorem 1.1.

Tehran's strong support for Hamas in Gaza -- coupled with Israel's relentless neo-colonial practices -- means the Islamic Republic enjoys continuous respect and admiration all over the Muslim world.

If φ : X × Y ↦ R satisfies the following conditions: (1) For any fixed y ∈ X, φ ( x, y ) is lower semi-continuous respect to x;   (2) s : Y ↦ 2 X is an upper semi-continuous mapping with nonempty, closed and contractible values, and for any fixed x ∈ s ( Y ), φ ( x, y ) is quasiconcave with respect to y;   (3) For any y ∈ Y and x ∈ s ( y ), φ ( x, y ) ≤ 0.  .

Suppose that is -strictly monotone and - continuous with respect to, - continuous with respect to on.

Then the map (f_{n+1}=Fcirc f_{n}) is simply defined as (f_{n+1} t,z)= varphi ^{n+1}_{t} z),z)) and is continuous with respect to t and analytic with respect to z. □.

Suppose that is - continuous with respect to, -strictly monotone, and - continuous with respect to on.

Let be the mapping such that and be Lipschitz continuous with respect to positive constants and respectively.

H A, B) is (gamma _1 -Lipschitz continuous with respect to A and (gamma _1 -Lipschitz continuous with respect to B;   3.

Since N is η-relaxed Lipschitz continuous with respect to T and η-relaxed Lipschitz continuous with respect to Q in first and second arguments with constants τ 1 and τ 2, respectively, we have (4.15).