Sentence examples for formulas that arise from inspiring English sources

In this paper we introduce simplified, exact, combinatorial formulas that arise in the vortex interaction model found in [33].

It's a real formula that arose in Frenkel's own research, and you can find it on page 238, together with a brief explanation.

Several misinterpretations that arise from the formula relating mean radiant temperature and the operative temperature are highlighted, coupled with a discussion on the lack of reliable and affordable devices that measure this parameter.

In this section we highlight the theory of reproducing formulas for holomorphic functions by means of integral operators that arise from the Cauchy Fantappié formalism.

The common functions that arise in analysis are usually definable by formulas, such as f(x) = x2.

Although there is no magic formula for weight maintenance, here are answers to some questions that arise over and over.

They could eliminate ambiguities in calculating values that arise from different implementations (or different understandings) of mathematical and physical formulae in different programs.

A possible worlds approach based on Kripke structures is developed, and it is shown that this approach resolves various problems that arise in a first-order setting, including specificity arising from nested quantifiers in a formula and an analogue of the lottery paradox that arises in reasoning about default properties.

There are also the pitfalls that arise.

However, in order to avoid the use of functions involving complex arguments that arise during a portion of the integration, the Laplace Transform identity of the convolution integral and a ten-term Gaver Stehfest inversion formula were used.

Propose additional questions that arise.