We prove that every 2-local derivation from the algebra Mn(A)(n > 2) into its bimodule Mn(M) is a derivation, where A is a unital Banach algebra and M is a unital A-bimodule such that each Jordan derivation from A into M is an inner derivation, and that every 2-local derivation on a C*-algebra with a faithful traceable representation is a derivation. We also characterize local and 2-local Lie d...

A system with equation and dynamic boundary condition of Cahn–Hilliard type is considered. This comes from a derivation performed in Liu–Wu (Arch. Ration. Mech. Anal., 233:167–247, 2019) via an energetic variational approach. Actually, the related problem can be seen as transmission for phase variable bulk corresponding on boundary. The asymptotic behavior coefficient surface diffusion acting g...

This paper presents a highly efficient approach for bounding the responses and probability of failure nonlinear models subjected to imprecisely defined stochastic Gaussian loads. Typically, such computations involve solving nested double-loop problem, where propagation aleatory uncertainty has be performed each realization epistemic parameters. Apart from near-trivial cases, computation is gene...

‎an  oriented perfect path double cover (oppdc) of a‎ ‎graph $g$ is a collection of directed paths in the symmetric‎ ‎orientation $g_s$ of‎ ‎$g$ such that‎ ‎each arc‎ ‎of $g_s$ lies in exactly one of the paths and each‎ ‎vertex of $g$ appears just once as a beginning and just once as an‎ ‎end of a path‎. ‎maxov{'a} and ne{v{s}}et{v{r}}il (discrete‎ ‎math‎. ‎276 (2004) 287-294) conjectured that ...

A bstract Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting study condensed matter systems with non-relativistic symmetry. Derivation an action principle for these generally proved challenging various reasons. In this technical note, we employ the formulation double field theory construct actions variety ...

‎In this article we discuss examples of fractal $omega$-operads‎. ‎Thus we show that there is an $omega$-operadic approach to explain existence of‎ ‎the globular set of globular setsfootnote{Globular sets are also called $omega$-graphs by the French School.}‎, ‎the reflexive globular set of reflexive globular sets‎, ‎the $omega$-magma of $omega$-magmas‎, ‎and also the reflexive $omega$-magma ...

Krzysztof Pachucki Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland (Dated: November 18, 2004) Abstract We present the derivation of the effective higher-order Hamiltonian, which gives mα6 contribution to energy levels of an arbitrary light atom. The derivation is based on the Foldy-Wouthuysen transformation of the one-particle Dirac Hamiltonian followed by pe...