Velvet noise is a sparse ternary pseudo-random signal containing only small portion of non-zero values. In this work, the derivation spectral properties velvet presented. particular, it shown that original white, i.e. has constant power spectrum. For variants with altered probability polarity, characteristics are analytically derived. Crushed additive to have potential in design coloured sequen...

Representations of Spin groups and Clifford algebras derived from the structure qubit trees are introduced in this work. For ternary construction is more general reduction to binary formally defined by deletion superfluous branches. The usual Jordan--Wigner also may be obtained approach bringing process up trivial chain (trunk). methods can used for effective simulation some quantum circuits co...

In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of  Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct p...

Unlike some other DNA polymerases, DNA polymerase lambda (pol lambda) utilizes DNA motion and active-site protein residue rearrangements rather than large-scale protein subdomain changes to transition between its active and inactive states. Pol lambda also has an unusual error tendency to generate single-base deletions (also known as frameshift mutations) resulting from DNA template-strand slip...

We prove that pillage games [Jordan, 2006, “Pillage and property”, JET] can have multiple stable sets, constructing pillage games with up to 2 n−1 3 stable sets, when the number of agents, n, exceeds four. We do so by violating the anonymity axiom common to the existing literature, instead endowing some agents to overpower all but a small number of opposing configurations of agents. Thus, when ...

Let $mathcal{A}$ be a $C^*$-algebra and $Z(mathcal{A})$ the‎ ‎center of $mathcal{A}$‎. ‎A sequence ${L_{n}}_{n=0}^{infty}$ of‎ ‎linear mappings on $mathcal{A}$ with $L_{0}=I$‎, ‎where $I$ is the‎ ‎identity mapping‎ ‎on $mathcal{A}$‎, ‎is called a Lie higher derivation if‎ ‎$L_{n}[x,y]=sum_{i+j=n} [L_{i}x,L_{j}y]$ for all $x,y in  ‎mathcal{A}$ and all $ngeqslant0$‎. ‎We show that‎ ‎${L_{n}}_{n...

Using high-resolution atomic force microscopy (AFM) we show that in a ternary complex of an activator protein, FIS, and RNA polymerase containing the sigma(70) specificity factor at the Escherichia coli tyrT promoter the polymerase and the activator form discrete, but connected, subcomplexes in close proximity. This is the first time that a ternary complex between an activator, a sigma(70) poly...

We extend the construction of Born’s Reciprocal Relativity theory in ordinary phase spaces to an extended phase space based on Quaternions. The invariance symmetry group is the (pseudo) unitary quaternionic group U(N+, N−,H) which is isomorphic to the unitary symplectic group USp(2N+, 2N−,C). It is explicitly shown that the quaternionic group U(N+, N−,H) leaves invariant both the quadratic norm...

I revisit Jordan's derivation of Einstein's formula for energy fluctuations in the black body thermal equilibrium. This is usually taken to represent unification wave and particle aspects electromagnetic field since can be shown sum wave-like particle-like contributions. However, treatment there no mention Planck distribution all averages are performed with respect pure number states radiation ...