Sentence examples for such an analytic from inspiring English sources

However, it is also important to give such an analytic expression of (p^(A,B,r)).

We give such an analytic expression of such (p^) based on the restricted isometry property (RIP).

The need for such an analytic framework is underscored by the consensus that efficiently produced wood bioenergy could provide many climate benefits compared to fossil-fuel intensive substitutes.

Although sociological insights into the relationship between consumption and class are mostly borne out by current research in the Chinese context, it is important to consider the implications of applying such an analytic framework which arose within American and European social contexts to contemporary China.

The results of such an analytic approach can be used as a descriptive tool capable of predicting the long-term properties of a multi-agent system, and they can also be considered a prescriptive tool that supports the design of multi-agent systems with desired asymptotic characteristics.

Advancement in registration methods, such as DARTEL, improves the realignment of small brain structures [27], making such an analytic strategy particularly robust for quantifying the hippocampus in such a large dataset.

In the present work, it is proposed to focus on analysis/monitoring of socially responsible behavior of social media big data and develop an upper level ontology as the framework/tool for such an analytics.

The operator of such systems generates an analytic C0-semigroup T t, ε), which possesses some nice properties such as (a) the C0-semigroup T t,ε) satisfies the contraction condition; (b) the C0-semigroup T t,ε) is differentiable with respect to parameter ε on the entire space (see [2] for details).

By virtue of the fact that analytic judgments are necessarily true, and given Kant's thesis that necessity entails apriority, it follows that all analytic judgments are a priori and that there is no such thing as an analytic a posteriori judgment.

If Ka is the set of bounded functions ƒ such that ƒ has an analytic continuation to a strip ¦Im z¦ < a with (Im z)(Im ƒ z)) ⩾ 0, then it is sufficient that ƒ ϵ Ka and g ϵ Kb with ab ⩾ π2.

It may become quite tricky to attack such a problem with an analytic gradient approach since the boundary conditions are usually difficult to handle and the search domain consists of isolated points.