Sentence examples for increasing absolutely from inspiring English sources

for a.e. ( t, x ) ∈ D because z ( ⋅, x ) is an increasing absolutely continuous function for every x ∈ [ c, d ].

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,.

We will also use the known fact that every absolutely continuous function can be decomposed into the difference of two strictly increasing absolutely continuous functions [19, page 315].

Over the same period, the global burden of non-communicable diseases has increased absolutely and relative to communicable diseases.

Now, let us consider the following operator defined by S ( x ) ( t ) = b K x ( φ ( t ) ) + e − t = b ∫ 0 ∞ k ( t − s ) x ( φ ( s ) ) d s + e − t. for any x ∈ L 1 ( R + ), where b > 0 and the function φ : R + → R + is increasing and absolutely continuous such that φ ′ ( t ) ≥ B for some constant B > 0 and for almost all t ∈ R +.

Not in raw pixel count (though that's increased) but absolutely in image quality and finesse of image processing.

"The amount of data is increasing at an absolutely ferocious pace, and unless we can catch up it will remain useless".

Let W be a non-negative, strictly increasing and locally absolutely continuous function on I. Suppose that (frac{dW x)}{dx}=w(x)), a.e.

Increasing capital borrowing was "absolutely essential", but he chided the UK government for not allowing it more quickly.

"Firearms ownership in NSW is only increasing, and there is absolutely no need to allow this weapon to be added the already overstocked arsenals around the state".

On this front violence absolutely increased.