Sentence examples for certain summation from inspiring English sources

Furthermore, we give a certain summation formula for this unification.

In Section 3, we give more trigonometric generating functions for this unification and obtain a certain summation formula.

It was shown [7] that algorithms which fit the Statistical Query model [8] can be written in a certain "summation form".

The works of [11, 12, 13, 14, 15, 16, 17] and references therein also investigate various representations of binomial sums and zeta functions in a simpler form by the use of the beta function and by means of certain summation theorems for hypergeometric series.

In this study, we have obtained some explicit closed-form evaluations of certain summations that arise as solutions of the Poisson equation, which in turn arises in numerous arenas ranging from engineering to studies of crystal structures.

This means that energy of the tumor E Tumor along the WEPT is (2.1.5 Accordingly, the ratio of the dose released energy during a certain time to summation of tumor energy along the shrinkage stage in the same duration is equivalent to the radionuclide decay constant, i.e., (2.1.6).

Although radiological features are traditionally known to be non-specific, recognition of certain characteristics using summation of imaging modalities as well as knowledge of clinical features can help in making the diagnosis.

As with the earlier summation, a certain provincialism is implicit in these lists.

Ken Turkel, in his summation, made certain that the jury knew where the Gawker offices were situated.

Ms. Cook brings a fresh perspective to "Here's to Life," a toast to experience that stars of a certain age treat as a proud summation of accomplishment and determination to continue.

The abstract Poisson summation formula also holds under certain integrability conditions [76].