Sentence examples for any implies from inspiring English sources

Thus, for any, implies, that is, (2.15).

It is monotone increasing if for any, implies that.

A linear operator is called weakly positive if, for any implies that.

A Banach space is said to uniformly convex if, for any, there exists such that, for any, implies.

It is easy to see that Banach space is uniformly convex if and only if for any implies.

It is known that is a continuous, (strictly) monotone (i.e., for any,, implies that and implies that ), subadditive, and convex function.

Is there any implied connection between stanzas four and five?

But Cumper remains unfazed by any implied criticism that Talawa have lost their way.

Any implied criticism of Sky TV's comedy heavyweights is – well, not denied outright.

Any implied criticism of their man as he settles into the job though could shatter this fragile truce forever.

Yet any implied eroticism is always undercut by good-humored satire as in "Sundance," a women's fan dance with huge yellow fans manipulated to suggest sunflowers.