A necessary and sufficient condition for the simplicity of the C∗– algebra reduced free product of finite dimensional abelian algebras is found, and it is proved that the stable rank of every such free product is 1. Related results about other reduced free products of C∗–algebras are proved. Introduction The reduced free product of C∗–algebras with respect to given states was introduced indepen...

Squashed entanglement is a measure for the entanglement of bipartite quantum states. In this paper we present a lower bound for squashed entanglement in terms of a distance to the set of separable states. This implies that squashed entanglement is faithful, that is, it is strictly positive if and only if the state is entangled. We derive the lower bound on squashed entanglement from a lower bou...

Efficient and reliable classification of visual stimuli requires that their representations reside a low-dimensional and, therefore, computationally manageable feature space. We investigated the ability of the human visual system to derive such representations from the sensory input-a highly nontrivial task, given the million or so dimensions of the visual signal at its entry point to the corte...

We study quadratic Lie conformal superalgebras associated with Novikov superalgebras. For every superalgebra $(V,\circ)$, we construct an enveloping differential Poisson $U(V)$ a derivation $d$ such that $u\circ v=ud(v)$ and ${u,v}=u\circ v-(-1)^{|u||v|}v\circ u$ for $u,v\in V$. The latter means the commutator Gelfand–Dorfman of $V$ is special. Next, prove constructed on finite-dimensional spec...

DNA methyltransferase-1 (DNMT1) has a higher specific activity on hemimethylated DNA than on unmethylated DNA, but this preference is too small to explain the faithful mitotic inheritance of genomic methylation patterns. New genetic studies in plants and mammals have identified a novel factor that increases the fidelity of maintenance methylation.

This paper presents an approach to construct a verified virtual prototyping framework of embedded software. The machine code executed on a simulated target architecture can be proven to provide the same results as the real hardware, and the proof is verified with a theorem prover. The method consists in proving each instruction of the instruction set independently, by proving that the execution...