Sentence examples for for extended functions from inspiring English sources
There are tons of plugins, free and premium which can be added to the basic template code for extended functions.
Other requirements (optional): For extended functions Open Babel [15] and R [19] (both free).
Project name: CheS-Mapper Project home page:http://ches-mapper.orgOperating system(s): Cross-platform Programming language: Java with Java Web Start support (can be started from a web browser) Other requirements (optional): For extended functions OpenBabel [34] and R [35] (both free).
For convenience of discussions that follow, we extend the spherical functions out of (S^{2}) radially, keeping the same notation for the extended functions (Y_{n}^{s}(x):=Y_{n}^{s}(x/vert xvert )) for (x inmathbf {R}^{3}setminus{0}).
Therefore, for further extended function of silica functionalized iron oxide NPs, some quantum dots and other optical materials have been introduced.
As a consequence, we find an exercise using RPS has certain educational effects, so the extended functions for handling RPSs improve the effectiveness of IPSS.
Extended functions are provided for cases the following software tools already pre-installed on the local computer (both freely available): Open Babel is a C++ library for chemoinformatics [15] (Open Babel is used by CheS-Mapper for 3D structure computing, SMARTS matching, structural fragment mining, and 3D alignment).
In Section 2.1, we state and prove several inequalities for extended beta functions.
In this section, applying classical integral inequalities like Chebychev's inequality for synchronous and asynchronous mappings and the Hölder-Rogers inequality, we derive several inequalities for extended beta functions.
The particular cases of those results also give the Turán-type inequalities for extended confluent and extended Gaussian hypergeometric functions.
Despite continued progress in the treatment of aortic valve (AV) disease, current treatments continue to be challenged to consistently restore AV function for extended durations.
