Sentence examples for via calculus from inspiring English sources

Analytic geometry had its greatest impact on mathematics via calculus.

Generally speaking, non-Newtonian calculus is a methodology that allows one to have a different look at problems which can be investigated via calculus.

The long-run average cost function is derived and its convexity is proved via differential calculus.

Nowadays the Hadamard and the Fejér–Hadamard inequalities via fractional calculus are in focus of researchers.

The next two lemmas are quite elementary via differential calculus; see [23, 25].

This force (generated by a specific movable constraint) is derived both via variational calculus and, independently, through an asymptotic approach.

A real-valued continuous function on an interval gives rise to a map via functional calculus from the convex set of Hermitian matrices all of whose eigenvalues belong to the interval.

The aim of this paper is to compute the mean field and variance of solutions to three-dimensional Maxwell's equations with random interfaces via shape calculus and pivoted low-rank approximation.

Içöz gave a Dunkl generalization of Szász-Mirakjan-Kantorovich operators in [23] and one gave a Dunkl generalization of Szász operators via q-calculus in [24].

Motivated essentially by Içöz and Çekim's [19] recent investigation of Dunkl generalization of Szász-Mirakjan operators via q-calculus, we show that our modified operators have better error estimation than those in [19].

Following an intervention on a given node X i, denoted do(X i  =  x), we consider the expected value of each other gene in the network via do-calculus as shown in Theorem 3.2.2 (Adjustment for direct causes) in [ 10]: E (X j | do (X i = x ) ) = E (X j ) if X j ∈ pa (X i ) ∫ E (X j | x, pa (X i ) ) ℙ (pa (X i ) ) d pa (X i ) if X j ∉ pa (X i ) where pa(X i ) represents the parents of node X i.