Sentence examples for making use of the principle from inspiring English sources

By making use of the principle of subordination between analytic functions, we introduce the subclasses,, and of the class which are defined by.

By making use of the principle of superposition, simple and accurate formulas are obtained for the case of transverse loading combined with end moments.

Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions.

Making use of the principle of subordination between analytic functions, Miller et al. [13] and, more recently, Owa and Srivastava [14] obtained some interesting subordination-preserving properties for certain integral operators.

Making use of the principle of subordination, Miller et al. [13] obtained some subordination theorems involving certain integral operators for analytic functions in U. Also, Owa and Srivastava [14] investigated the subordination properties of certain integral operators (see also [15]).

The present proof differs from the one in the supplement Basic set theory to the entry on set theory, because that one argues by cases, depending on whether or not A = B. To avoid making use of the principle of excluded middle we can instead argue as follows.

By the end of the course, a substantial amount of work should have been completed, making use of the principles that have been laid down during the sessions.

By making use of the principles of photoelectrochemistry, several semiconductor systems comprised of native and surface-modified semiconducor nanoparticles have been employed in the direct conversion of light energy into chemical or electrical energy.

Further, a practical linear accelerator for heavy particles, such as protons, must make use of the principle of phase stability.

Two new telephone headsets are the first consumer products that incorporate the technology, which is known as near-field magnetic communication and makes use of the principle of magnetic induction.

For the proof, we will make use of the principle of mathematical induction.