Sentence examples for of calculus with from inspiring English sources
While Westerners often associate the invention of calculus with 17th century European luminaries like Isaac Newton and Gottfried Leibniz, its theoretical foundations actually stretch back millennia.
The study of calculus, with its fundamental concepts of limit, derivative and integral, requires an ability to understand algebraic variables as generalised numbers and as functionally related varying quantities (Gray, Loud, & Sokolowski, 2009).
The mixed method uses the recently developed spectral element histopolation functions, which exactly satisfy the fundamental theorem of calculus with respect to the standard Lagrange basis functions in one dimension.
Nonstandard analysis originated with Abraham Robinson (1966), who noticed that the use of nonstandard models of the continuum would allow one to make sense of the infinitesimal numbers of Leibniz, and so obtain an elegant formulation of the calculus with fewer alternations of quantifiers.
Still, the necessary departures from the sheer elegance of standard forms of predicate calculus, with all the significant associated complexities, might seem to count against opting for any such departure in the first place, and instead perhaps adopting some species of reductionism.
Credit for the independent discovery, about 1670, of the fundamental theorem of calculus together with the invention of techniques to apply this theorem goes jointly to Gottfried Wilhelm Leibniz and Isaac Newton.
In Section 3, we analyze the possible bridges between fractional calculus and fractals while in Section 4, we consider the relation of fractional calculus with the modellization of relaxation processes.
The proofs of our results combine techniques of fractional calculus with semigroup estimates.
Furthermore, Bashirov et al. [20] illustrated the usefulness of multiplicative calculus with some interesting applications.
The theory of fractional calculus with operators having nonsingular kernels depends on a limiting approach via dirac delta functions.
It is possible for researchers to construct a variety of stochastic calculus with respect to the wfBm (B_{t}^{a,b}) associated with the Malliavin calculus.
