Sentence examples for a regular measure from inspiring English sources

BY-ELECTIONS used to offer a regular measure of the government's popularity.

A regular measure of noncompactness possesses the following properties: (1), where (1.5). is the diameter of (cf. [2, Theorem  3.2.1]).

Below we recall the axiomatic definition of a regular measure of noncompactness on ; we refer to [2] for details.

The function (omega_{0}:mathfrak{M}_{C_{0}^{n}[J,E]}rightarrow mathbb{R}) is a regular measure of noncompactness on (C_{0}^{n}[J,E]).

A function will be called a regular measure of noncompactness if satisfies the following axioms, for, and : (1) if, and only if, is compact.

Also, regular Borel measures are important tools in studies on the Kolmogorov fractal dimension (Barnsley [6], Mandelbrot [30], etc).. Lebesgue measure is a remarkable example of a regular measure.

If you don't own a tailor's measuring tape, which is simply a measuring tape that is really flexible, try to find a regular measuring tape or ruler that can be easily wrapped around your head.

There the work is based on a new regular measure of noncompactness defined by us (see Lemma 3.1 of [27]).

For smooth (u) we then have begin{aligned} (dd^cu ^n=dd^cuwedge dots wedge dd^cu =4^nn!det (partial ^2u/partial z_jpartial bar{z}_k),dlambda end{aligned}and one would like to define ((dd^cu ^n) as a positive regular measure for arbitrary plurisubharmonic (u).

Since the Lebesgue-Stieltjes measure is a regular Borel measure, the result of Corollary 2.10 holds for the Lebesgue-Stieltjes measure.

The Riesz-Markov-Kakutani representation theorem states that, for every positive functional L on the space (C_{c}(T)) of continuous compact supported functional on a locally compact Hausdorff space T, there exists a unique Borel regular measure μ on T such that (L f) =int f,dmu) for all (f in C_{c}(T)).