The salient feature of the composition operators for Gamma programs is that for termination, the parallel composition operator demands that its operands must terminate synchronously. This paper studies the inequational partial correctness properties of the combination of sequential and parallel composition operators for Gamma programs, provable from a particular compositional semantics (Brookes...

We consider the phenomenological implications of charged scalar extensions Standard Model (SM) Higgs sector in addition to effective field theory (EFT) couplings this new state SM matter. perform a detailed investigation modifications loop-induced decays 125 GeV boson, which receives corrections from propagating scalars alongside one-loop EFT operator insertions and demonstrate that interplay $...

The stabilization of Hochschild homology of commutative algebras is Gamma homology. We describe a cyclic variant of Gamma homology and prove that the associated analogue of Connes’ periodicity sequence becomes almost trivial, because the cyclic version coincides with the ordinary version from homological degree two on. We offer an alternative explanation for this by proving that the B-operator ...

We study the probability that all eigenvalues of $n\times n$ Hermitian matrices, from Laguerre unitary ensemble with weight $x^{\gamma}\mathrm{e}^{-4nx},\;x\in[0,\infty),\;\gamma>-1$, lie in interval $[0,\alpha]$. By using previous results for finite $n$ obtained by ladder operator approach orthogonal polynomials, we derive large asymptotics largest eigenvalue distribution function $\alpha$ ran...

In the present paper, we study Cauchy-Dirichlet problem to a nonlocal nonlinear diffusion equation with polynomial nonlinearities $$\mathcal {D}_{0|t}^{\alpha }u+(-\varDelta )^s_pu=\gamma |u|^{m-1}u+\mu |u|^{q-2}u,\,\gamma ,\mu \in \mathbb {R},\,m>0,q>1,$$ involving time-fractional Caputo derivative }$$ and space-fractional p-Laplacian operator $$(-\varDelta )^s_p$$ . We give simple proof of co...