Sentence examples for function absolutely from inspiring English sources

A solution of differential system (1.5) is defined as an -dimensional column vector function, absolutely continuous on with a derivative in a Banach space    of functions integrable on with the degree satisfying (1.5) almost everywhere on.

I know people for whom Sonic Youth functioned absolutely as a portal band, an entry point for them into an underground wonderworld of dissident noisemaking and neo-beat bohemia stretching across several decades.

C ( M ) is the set of real functions continuous on M. AC ( M ) is the set of real functions absolutely continuous on M. L 1 [ a, b ] is the set of real functions Lebesgue integrable on [ a, b ].

Let M ⊂ R n, n ∈ N, [ a, b ] ⊂ R. C ( M ) is the set of real functions continuous on M. AC ( M ) is the set of real functions absolutely continuous on M. L 1 [ a, b ] is the set of real functions Lebesgue integrable on [ a, b ].

Assuming that an initial (nonmonotone) function is absolutely continuous on interval, we can decompose it on the interval into the difference of two strictly increasing absolutely continuous functions,.

Suppose that this time function is absolutely integrable.

So the convergence conditions as you'll see as you refer in detail to the text relate to whether the time function is absolutely integrable under one set of conditions and square integrable under another set of conditions.

Since a Lipschitzian function is absolutely continuous, τ is non-Lipschitzian.

A bivariate survival function with absolutely continuous and singular components can also be constructed when a 0<λ 1+λ 2. Suppose λ 1>λ 2 and let a 0=λ 1.

A function is absolutely continuous (or ) on if for each there exists such that whenever is a finite collection of nonoverlapping intervals that have endpoints in and satisfy while denotes the oscillation of over ; that is, (2.3).

So the coordination function was absolutely crucial to deliver equitable aid".