Sentence examples for with constant of from inspiring English sources

A formula for the Peetre K-functional follows and is used to show that (L1,D∞) is a uniform Calderón couple with constant of K-divisibility equal to one.

Let (u<0), E be 1-concave with constant of concavity equal to M, and let F be just a Banach function space.

In the cases when (p<1), an additional condition on the function space E is that it should be concave with constant of concavity 1; in the cases when (q<1), an additional condition on the function space F is that it should be concave with constant of concavity 1.

If E is 1-concave with constant of concavity 1, (0< p<1) or (p<0) and (Vert f^{p} x,cdot) Vert _{E}>0), then inequality (4.1) holds in the reverse direction.

If (u>1), (qleq1leq p), (qneq0) and F is 1-concave with constant of concavity equal to N, then inequality (5.1) holds in the reverse direction with (C=N^{u-1}).

If (u<0), (p leq1leq q), (pneq0) and E is 1-concave with constant of concavity equal to M, then inequality (5.1) holds in the reverse direction with (C=M^{-u}).

'John and Maryry' are interpreted with constants of type e, 'loves' with a constant of type e → e → t, the default semantic types for the syntactic source types.

With respect to immunity, two or more classes of hosts with constant values of pII and pAI compete for fixation.

Here they mixed elegant, atmospheric pieces with bursts of furious energy, with constant changes of mood and volume.

I had picked up the disease myself and have spent the last two days and eight hours of that time with constant bouts of simultaneous diarrhea and vomiting.

Biologically, this stage corresponds to the stable production of the protein with constant recycling of the ribosomal subunits.