The simultaneity framework describes the relativistic interaction of time with space. two major proposed frameworks are differential simultaneity, in which is offset distance “moving” or rotating frames for each “stationary” observer, and absolute not distance. We use Mansouri Sexl test theory to analyze absence spacetime curvature. has four parameters. Three parameters describe effects. fourth...

Starting from the experimental fact that light propagates over a closed path at speed c, we show to what extent the isotropy of the speed of light can be considered a matter of convention. We prove the consistence of anisotropic and inhomogenous conventions, limiting the allowed possibilities. All conventions lead to the same physical theory even if its formulation can change in form. The mathe...

Recently Zangari and Censor discussed the non-uniqueness of the spatiotemporal world-view, and proposed a representative alternative based on the Fourier transform as a mathematical model. It was argued that this so called spectral representation, by virtue of the invertibility of the Fourier transform, is fully equivalent to our conventional spatiotemporal world-view, although in the two syste...

The article evaluates the influence of synchronous and asynchronous types learning in online environment on mastering a foreign language. field provides flexible efficient that makes it easy for students to form, explore learn information. author considers characteristic features learning, as well their joint, so-called hybrid use educational process. combines with an set electronic activities,...

In this article, the q-analogues of the linear relations of non-strict multiple zeta values called “the sum formula” and “the cyclic sum formula” are established.

We consider the class of two-person zero-sum allocation games known as Captain Lotto games (Hart 2014). These are Colonel Blotto type games in which the players have capacity constraints. We consider the game with non-strict constraints, and with strict constraints. We show in most cases that when optimal strategies exist, they are necessarily unique. When they don’t exist, we characterize the ...

Jarik Nešetřil suggested to the first author the investigation of notions of homogeneity for relational structures, where “isomorphism” is replaced by “homomorphism” in the definition. Here we look in detail at what happens for posets. For the strict order, all five generalisations of homogeneity coincide, and we give a characterisation of the countable structures that arise. For the non-strict...