Sentence examples for functions can be extended from inspiring English sources

The elementary functions of real analysis, such as polynomials, trigonometric functions, and exponential functions, can be extended to complex numbers.

It states that holomorphic functions can be extended from lower dimensional sections with (L^2 -estimates.

The functions can be extended, and one proceeds to show that the extensions define a cocycle.

We will see that the picture for type C functions can be extended to a quite general setting.

To include additional factors into the model, the utility functions can be extended in several ways.

The methodology of constructing a simplified kinetic flux function can be extended to other flow systems.

Then the MAXQ decomposition of the Q-function can be extended for the joint action-values.

By analytic continuation, this function can be extended to a meromorphic function on the whole complex plane.

A choice frame is AGM-consistent if, for every interpretation of it, the associated partial belief revision function can be extended to a full-domain belief revision function that satisfies the AGM postulates.

Pixel-based cost function can be extended to patch (window -based matching cost by integrating pixel-based costs window -basedain neighborhood and such cost are based on census transformatchinglized costs correlation, etc. [10].

(27) The nature of (hat{mathcal{B}}_{q,1/k_{1}}(F T,m,epsilon))(tau)) allow us to affirm that this function can be extended to an unbounded sector of bisecting direction d, say (U_{d}), under q-exponential bounds of (k_{1}) type.