Abstract I present a method for estimating the fidelity F ( μ , τ ) between preparable quantum state and classically specified pure target $$\tau =\left|\tau \right\rangle \left\langle \tau \right|$$ τ = using simple circuits on-the-fly clas...

Glutathione S-transferase is a family of multifunctional detoxification enzymes which are mainly cytosolic that detoxify natural and exogenous toxic compounds by conjugation with glutathione. Glutathione, an endogenous tripeptide, is important as either a reducing agent or a nucleophilic scavenger. This molecule alleviates the chemical toxicity in plants by reaction of glutathione S-transferase...

We first characterize $tau$-complemented modules with relative (pre)-covers. We also introduce an extending module relative to $tau$-pure submodules on a hereditary torsion theory $tau$ and give its relationship with $tau$-complemented modules.

we first characterize $tau$-complemented modules with relative (pre)-covers. we also introduce an extending module relative to $tau$-pure submodules on a hereditary torsion theory $tau$ and give its relationship with $tau$-complemented modules.

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

Neutrino oscillations in matter provide a unique probe of new physics. Leveraging the advent neutrino appearance data from NOvA and T2K recent years, we investigate presence CP-violating non-standard interactions oscillation data. We first show how to very simply approximate expected NSI parameters resolve differences between two long-baseline experiments analytically. Then, by combining data, ...

We consider a finite element method with symmetric stabilisation for the discretisation of transient convection--diffusion equation. For time-discretisation we either second order backwards differentiation formula or Crank-Nicolson method. Both convection term and associated are treated explicitly using an extrapolated approximate solution. prove stability $\tau^2 + h^{p+{\frac12}}$ error estim...

Let $n>1$ be an odd integer, and let $\zeta$ a primitive $n$th root of unity in the complex field. Via Eigenvector-eigenvalue Identity, we show that$$\sum_{\tau\in D(n-1)}\mathrm{sign}(\tau)\prod_{j=1}^{n-1}\frac{1+\zeta^{j-\tau(j)}}{1-\zeta^{j-\tau(j)}}=(-1)^{\frac{n-1}{2}}\frac{((n-2)!!)^2}{n},$$where $D(n-1)$ is set all derangements $1,\ldots,n-1$.This confirms previous conjecture Z.-W. S...

In finance, one usually deals not with prices but with growth rates R, defined as the difference in logarithm between two consecutive prices. Here we consider not the trading volume, but rather the volume growth rate R, the difference in logarithm between two consecutive values of trading volume. To this end, we use several methods to analyze the properties of volume changes |R|, and their rela...