In this paper we find explicit formulas for: (1) Green’s function for a system of one-dimensional bosons interacting via a delta-function potential with particles confined to the positive half-line; and (2) the transition probability for the one-dimensional asymmetric simple exclusion process (ASEP) with particles confined to the nonnegative integers. These are both for systems with a finite nu...

Let $mathfrak{A}$ be an algebra. A linear mapping $delta:mathfrak{A}tomathfrak{A}$ is called a textit{derivation} if $delta(ab)=delta(a)b+adelta(b)$ for each $a,binmathfrak{A}$. Given two derivations $delta$ and $delta'$ on a $C^*$-algebra $mathfrak A$, we prove that there exists a derivation $Delta$ on $mathfrak A$ such that $deltadelta'=Delta^2$ if and only if either $delta'=0$ or $delta=sdel...

let $r$ be a 2-torsion free ring and $u$ be a square closed lie ideal of $r$. suppose that $alpha, beta$ are automorphisms of $r$. an additive mapping $delta: r longrightarrow r$ is said to be a jordan left $(alpha,beta)$-derivation of $r$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin r$. in this paper it is established that if $r$ admits an additive mapping $g : rlongrigh...

Dimension change measures of regional ventricular function, such as absolute or percent wall thickening (delta T or % delta T) or segmental shortening (delta L or % delta L), are highly load dependent. In 16 anesthetized mongrel dogs we assessed use of the end-systolic pressure-thickness and end-systolic pressure-length relationships (ESPTR, ESPLR) as more load-independent measures of regional ...

In the present study we used regression analyses to evaluate the effects of stearic acid (18:0) on total cholesterol (TC), low-density-lipoprotein-cholesterol (LDL-C), and high-density-lipoprotein-cholesterol (HDL-C) concentrations (mmol/L). Using data from 18 articles, we developed the following predictive equations (monounsaturated fatty acids, MUFAs; polyunsaturated fatty acids, PUFAs): delt...

The relationship between the magnitude of the transmembrane electrical potential and the uptake of [14C]gentamicin was examined in wild-type Staphylococcus aureus in the logarithmic phase of growth. The electrical potential (delta psi) and the pH gradient across the cell membrane were determined by measuring the equilibrium distribution of [3H]tetraphenyl-phosphonium and [14C]acetylsalicylic ac...

Sigma-delta quantization is a way of representing bandlimited signals (functions with compactly supported Fourier transforms) by {0, 1} sequences for each sampling density such that convolving these sequences with appropriately chosen filters produces approximations of the original signals. Approximations are refined by increasing the sampling density; this is what makes such a scheme fundament...

This paper reviews the effect of nutrition on rate of post–mortem pH decline, pH change after electrical stimulation (delta pH) and ultimate pH in skeletal muscle of sheep and cattle. The importance of muscle glycogen concentration as a determinant of ultimate pH, delta pH and rate of pH decline post–mortem is illustrated. As delta pH and rate of pH decline are increased by high muscle glycogen...

Skalka B.: Antagonistic Effect of Staphylococcus hyicus and Staphylococcus chromogenes Exhibited on Staphylococcal Delta Hemolysin. Acta vet. Bmo, 60,1991: 61-69. Staphylococcus hyicus and Staphylococcus chromo genes are able to inhibit hemolytic effect of the staphylococcal delta hemolysin on agar media supplemented with human or sheep erythrocytes. This inhibition takes place even when the ef...

The Cauchy problem is considered for the massive Dirac equation in the non-extreme Kerr–Newman geometry, for smooth initial data with compact support outside the event horizon and bounded angular momentum. We prove that the Dirac wave function decays in L∞loc at least at the rate t−5/6. For generic initial data, this rate of decay is sharp. We derive a formula for the probabilityp that the Dira...