Sentence examples for extending a function from inspiring English sources

In this article, we compare several algorithms for successfully extending a function f(x) into the "fog" even when the analytic extension is singular.

A base is a set, say B, such that every relation with domain B extends a function with domain B. The compatibility of all these forms of choice with constructive set theory has been proved by Aczel by extending his interpretation of CZF in Martin-Löf type theory (Aczel 1982).

The very low alpha coefficient for the Self Directed Aggression scale was expected because it only consists of two items, and the alpha statistic is to some extend a function of the number of items in a scale.

The range of Fourier methods can be significantly increased by extending a nonperiodic function f(x) to a periodic function f̃ on a larger interval.

It is even a greater challenge to extend a molecular function prediction into a biological process prediction.

Having in mind that, can be (uniquely) extended as a function satisfying (2.3) onto.

This can be extended to a function of the complex variable z as given in (1.4).

A model of the alternative set theory in the usual set theory is a nonstandard model of Vω of size ω1 in which every countable external function extends to a function in the model.

A function f verifies [5b1] in a model M iff f maps x onto an individual in M which "is a Pedro", i.e. which is called "Pedro", and f cannot be extended to a function g which verifies [5b2] that is to say, no such g should map y onto a donkey that Pedro owns.

The latter requirement is met iff every extension g of f, Dom(g) = {x,y}, such that g verifies [y: B x,y)] can be extended to a function h, Dom(h) = {x,y,z}, such that h verifies [z: C x,y,z)].

τ and can be holomorphically extended as a function (psi_{k_{1}}^{mathfrak{d}_{p}} tau,m,epsilon)) on any unbounded sectors (U_{mathfrak{d}_{p}}) with direction (mathfrak{d}_{p}) and small aperture, provided that (U_{mathfrak {d}_{p}}) stays away from the roots of some polynomial (mathbf{P}_{m} tau)) constructed with the help of (mathbf{Q}(X)) and (mathbf{R}_{mathbf{D}}(X)) in (204).