Sentence examples for expanded the function from inspiring English sources
Charlemagne expanded the function of these meetings to make them an instrument for cementing the king's personal ties with counts, bishops, abbots, and powerful magnates.
They expanded the function in q-analogues of Lidstone polynomials which are in fact q-Bernoulli polynomials as in the classical case (see Section 2).
Compared with the traditional oscilloscope, the designed oscilloscope not only expanded the function, simplified the structure, but also improved economical efficiency.
This addition could have expanded the function of the vault from sequestration of ions or molecules to transportation.
The recent discovery of metabolic roles for fibroblast growth factor 1 (FGF1) in glucose homeostasis has expanded the functions of this classically known mitogen.
It expands the function of the familiar key-based system that unlocks cars from a few feet away so that it also activates a few presets, like the seat position.
Her work -- which included setting up a cooperative breeding program for tamarins among zoos worldwide and making minute observations of decades of pandas' social, sexual and gastronomic lives -- helped expand the function of the modern zoo from mere exhibition to concerted, scientifically informed conservation.
Thus, we can expand the function f ^ λ with the aid of Whittaker-Shannon-Kotel'nikov theorem.
That is, elements of a cellular network and a WSN are mixed in order to easily expand the function of each network.
In order to show that the one-periodic wave (3.7) degenerates to the one-soliton solution (2.12) under the limit (rhorightarrow0), we expand the function f in the form begin{aligned} f=1+rho^{2}bigl(e^{2pixi}+e^{-2pipixi}bigrgr)+ rho^{8}bigl(e^{4pixi}+e^{-4pipixi}bigrgr)+cdots.
In order to verify that the one-periodic wave (3.6) tends to the one-soliton solution (2.3) when (rhorightarrow0), we expand the function f in the form begin{aligned} f=1+rho^{2}bigl(ie^{2pi ixi}-ixi}-ie^{-2pi bigr -rho^{8}bigl(e^{4pi ixi }+e^{-4pi ixi}bigr -rho^{8}bigl
