Sentence examples for calculus formula from inspiring English sources

We give a functional calculus formula for infinitesimal generators of holomorphic semigroups of operators on Banach spaces, which involves the Bochner Riesz kernels of such generators.

There is a clearly defined relationship between S t) and h(t), which is given by the calculus formula: The formula is unimportant for routine survival analyses as it is incorporated into most statistical computer packages.

Motivated by the above discussion, we developed new fractional calculus formulas involving extended generalized Mathieu series.

Now, let us give two fractional calculus formulas obtained by Jaimini and Gupta [[15], p.145, Eqs.

Similarly, generalized fractional calculus formulas of the Aleph function associated with the Appell function F 3 is given by Saxena et al. [14, 15], and Ram and Kumar [19].

We isolate a class of modal μ-calculus formulae, interpreted over service configurations, that characterise configurations satisfying the properties of interest.

It is proved that for this functional calculus the trace formula of Helton-Howe holds.

Using differential calculus we provide formulas to estimate the range of μ where treatment effects are likely to occur when RTM is present.

This procedure, with its inevitable inaccuracies, is rendered unnecessary by applying elementary calculus to the supposed formula.

In addition, by using umbral calculus, we derived a formula expressing any polynomials as linear combinations of higher-order derangement polynomials and illustrated this with several special polynomials.

One of fundamental results for the connection calculus states that the formula (F) is a tautology if and only if (M) is a complementary matrix [3].