It has recently been established that there are exactly seven Witt equivalence classes of quadratic number fields, and then all quadratic and cubic number fields have been classified with respect to ...

Let $(X, \mathscr{B})$ be a standard Borel space, $R \subset X \times X$ an equivalence relation $\in \mathscr{B} \times \mathscr{B}$. Assume each equivalence class ...

1 Apply the basic principles of mathematical logic. 2 Construct and analyse mathematical proofs. 3 Apply the principles of set theory, functions and relations. 4 Apply the principles of abstract ...

Abstract: Discrete Mathematics is a required course for the specialty of Data Science and Big Data Technology, and has an important position in the curriculum system of the specialty. By clarifying ...

Abstract: In this paper we propose definitions of equivalence via stochastic bisimulation and of equivalence of stochastic external behavior for the class of discrete-time stochastic nonlinear control ...