Sentence examples for calculus provides a from inspiring English sources

(i) Fractional calculus provides a natural interpolation between different equations.

This modular calculus provides a novel foundation for the analysis of algorithms.

In fact, fractional calculus provides a powerful tool for hereditary properties on various materials and memory processes [7, 8].

Fractional calculus provides a powerful tool for the description of hereditary properties of various materials and memory processes.

It is well known that compared with integer-order models, fractional-order calculus provides a more accurate instrument for the description of memory and hereditary properties of various processes.

In this paper we introduce a minimal model generation calculus for multi-modal logic K(m) and extensions of K(m) with the axioms T and B. The calculus provides a method to generate all and only minimal modal Herbrand models, and each model is generated exactly once.

Fractional calculus provides an excellent tool for describing the hereditary properties of various materials and processes.

Fractional calculus provides an alternative approach where complex dynamical systems can be modeled with compact fractional equations that not only can still guarantee analytical solutions, but can also enable high levels of order reduction without compromising on accuracy.

With this advantage, in many eco-economical systems and diffusive processes with long time memory behavior [2, 3, 15, 39], fractional calculus provides an excellent tool to describe the hereditary properties of them.

This is mostly due to the fact that fractional calculus provides an efficient and excellent instrument to describe many practical dynamical phenomena which arise in viscoelasticity, electrochemistry, control, porous media, electromagnetic, etc.

This is mostly due to the fact that fractional calculus provides an efficient and excellent instrument to describe many practical dynamical phenomena which arise in engineering and science such as physics, chemistry, biology, economy, viscoelasticity, electrochemistry, electromagnetic, control, porous media; see [8 13].