Sentence examples for a nonincreasing function for from inspiring English sources

Then is a nonincreasing function for and (2.13).

Then E ( t ) is a nonincreasing function for t > 0 and d d t E ( t ) = − a ∥ u t ( t ) ∥ α α. (2.2).

(E ( t ) ) is a nonincreasing function for (tgeq0) and frac{d}{dt}E ( t ) =-int_{Omega} bigl( vert u vert ^{k}+vert vvert ^{l} bigr) vert u_{t}vert ^{p+1},dx-int_{Omega} bigl( vert vvert ^{theta}+vert uvert ^{varrho} bigr) vert v_{t}vert ^{q+1},dx.

Here, the monotonicity assumption is that the exposure is a nondecreasing function of the IV for all persons (or, equivalently, a nonincreasing function for all persons).

It is well known that, for fixed of dimension, is a nonincreasing function of for with (with weights, ).

Subsequently, is a nonincreasing function of ν i π i for all i, j.

Next, since P is positive definite and (dot {V}(S t),tilde{S}_{2}^{mathrm{I}}(t))) is a nonincreasing function of time, it follows that (V(S t))) is bounded for all (tgeq0), and hence, (S t)) is bounded for all (tgeq0), which further implies that (S^{mathrm{E}}(t)) is bounded for all (tgeq0).

Define a nonincreasing function from into by (1.2).

Define a nonincreasing function from onto by (1.1).

Then, we show that is a nonincreasing function of, and thus proving the required.

Since the right-hand side of (B.10b) corresponds to the condition (B.4) with proving the previous statement amounts to (i) pointing out that the right-hand side of (B.4) is a nondecreasing function of and (ii) showing that for private rate equal to the maximum common rate according to (B.4) is a nonincreasing function of This latter conclusion can be obtained as follows.