Difference and sameness -or identity -are correlated concepts: to understand one is to understand the other. I will distinguish two accounts of sameness and difference: first, an essentialist account of sameness against which an understanding of difference is presented as derivative; secondly, a contextualist account which relates both sameness and difference to a more fundamental horizon or co...

The concept of Essentially derived varieties (EDVs) was introduced in the UPOV 1991 act to protect the interests of the breeder of the initial variety. When a variety is considered as an EDV, authorisation for commercial exploitation is needed from the breeder of the initial variety. There is considerable debate going on about which approaches to use for determining essential derivation and als...

Mathematical models of quantum mechanics can be studied and distinguished using nonlocal games. We discuss a class games called synchronous linear constraint system (syncLCS) unify two algebraic approaches to studying syncLCS relate these played on graphs, known as graph isomorphism In more detail, are that verify whether or not players share solution given equations. Two objects associated wit...

The ordinariness of elliptic curves is essential in proving various expected properties positive characteristic and can be extended to algebraic arbitrary genus. present paper deals with another kind extension, i.e., dormant sl2-opers, or more generally, sln-opers. We prove that, for sl2-opers on curves, this notion essentially equivalent the classical ordinariness. Moreover, main result assert...

Statistical linearization has recently seen a particular surge of interest as numerically cheap method for robust control stochastic differential equations. Although it already been successfully applied to complex systems, accessibility and controllability properties statistical linearization, which are key make the problem well-posed, have not investigated yet. In this paper, we bridge gap by ...

Algebraic hypermaps combinatorially describe topological hypermaps, that is, embeddings of hypergraphs on compact orientable surfaces. It turns out that algebraic hypermaps enjoy several properties of Riemann surfaces. For instance, each algebraic hypermap has its genus, and the analogue of Riemann–Hurwitz formula for Riemann surfaces was proved to hold for a quotient hypermap with respect to a...