Sentence examples for derived from the generating from inspiring English sources

Equation (1.4) can be also derived from the generating function of Jacobi polynomials.

Kim and Kim have studied some identities of degenerate Daehee numbers which are derived from the generating function using nonlinear differential equation (see [1]).

As part of this we investigate some of the identities and properties that are associated with these numbers and polynomials which are derived from the generating functions and p-adic integral equations.

In this paper, we study some properties of degenerate Changhee-Genocchi numbers and polynomials and give some new identities of these polynomials and numbers which are derived from the generating function.

The above cdf can be derived from the generating function of the ZTGP distribution (M_{N}^{ast }(t)=frac {M_{N}(t -P(N=0)}{1-P(N=0)}=frac {1-mat -P {e}^{-(lambda /alpha) [W(g)+alpha ]}-mathrm {e}^{-lambda }}{1-mathrm {e}^{-lambda }}), which is equivaleN=0to the survival function 1−F(t;α,β,λ).

It is found that the photodynamic therapy (PDT) derived from the generated reactive oxygen species and the photothermal therapy (PTT) arising from the photothermal effect can be simultaneously triggered by a single 980 nm near infrared (NIR) light.

To avoid the labor required for plasmid exchange for continuous crossbreeding, a third selection marker gene, AUR1-C, was used to generate a/α-type hybrid strains (Fig. 2b, c). Figure 2b shows the procedure used to acquire a-type cells derived from the generated hybrids.

The OP, conditioned on M and n, can be derived from the moment generating function (MGF) of γ Σ.

Some satellites employ similar thermoelectric generators on satellites where the power is derived from the heat generated by radioactive decay which is then turned back into electricity.

In the Smart City, insights are derived from the data generated in the Instrumented City.

Etching the silica derived from the TEOS generates micropores in the carbon framework.