It is well-known that a Hausdorff space is exponentiable if and only if it is locally compact, and that in this case the exponential topology is the compact-open topology. It is less well-known that among arbitrary topological spaces, the exponentiable spaces are precisely the core-compact spaces. The available approaches to the general characterization are based on either category theory or co...

A categorical proof of the statement given by the title is provided, in generalization of a result for topological spaces proved recently by Clementino, Hofmann and Tholen.

We propose splitting methods for the computation of the exponential of perturbed matrices which can be written as the sum A = D+εB of a sparse and efficiently exponentiable matrix D with sparse exponential eD and a dense matrix εB which is of small norm in comparison with D. The predominant algorithm is based on scaling the large matrix A by a small number 2−s, which is then exponentiated by ef...

one of the modern paradigms to develop an application is object oriented analysis and design. in this paradigm, there are several objects and each object plays some specific roles in applications. in an application, we must distinguish between procedural semantics and declarative semantics for their implementation in a specific programming language. for the procedural semantics, we can write a ...