Sentence examples for calculus result from inspiring English sources

Perhaps the only basic calculus result missed by the Leibniz school was one on Newton's specialty of power series, given by Taylor in 1715.

(P_lambda ^2 = P_lambda ) is then a special case of his functional calculus result ((fg)(x)=f(x g(x)).

Advances in numerical calculation, the development of symbolic algebra and analytic geometry, and the invention of the differential and integral calculus resulted in a major expansion of the subject areas of mathematics.

The comparison analysis between simulation and network calculus results.

In Section 4.1.1, we obtain the calculus results of the star topology.

Lastly, we compare the simulation results with the network calculus results based on network calculus model and simulation model.

The results of generalized k-fractional derivative and generalized Caputo type k-fractional derivative are reduced to the k-calculus results for (s = 1) and are also reduced to the classical calculus results for (s = 1), (k = 1).

It also applies to Figures 5 and 6. Figure 5 The comparison analysis between the simulation and network calculus results.

The essential role of the Mittag-Leffler function in fractional calculus results from the following formula for the inverse Laplace transform [28 30]: (3.7).

The English mathematicians had feuded with the continental mathematicians over the issues of priority in the development of the calculus, resulting in the English following Newton's notation, and those on the continent following that of Leibniz.

Secondly, on suitably specializing the various parameters of the general class of multivariable variable polynomials, our results can be reduced to a large number of fractional calculus results involving the general class of polynomials, Jacobi polynomials, Legendre polynomials, Hermite polynomials, Bessel polynomials, Gould-Hopper polynomials, and their various particular cases.