Continuous-flow paper electrophoresis has been used to separate human blood serum and extracts of the formed elements of blood into several frac tions exhibiting lactic dehydrogenase (LDH) activity (1, 2, 4). Fractionation patterns obtained by this procedure have been shown to differ from normal in certain diseases. The pattern differences were not attributable to the appearance of new fraction...

We calculate the magnetic moments of ground state $J^P=\frac{1}{2}^+$ and $J^P=\frac{3}{2}^+$ heavy flavor charm bottom baryon states employing concept effective mass based on single gluon exchange interaction coupling to spectator quarks in non-relativistic quark model. exploit current experimental information sector estimate contributions get masses inside baryons. study spin $\frac{1}{2}^{'+...

In this paper, we mainly prove the following conjectures of Z.-H. Sun \cite{SH2}: Let $p>3$ be a prime. If $p\equiv1\pmod3$ and $p=x^2+3y^2$, then have $$ \sum_{k=0}^{p-1}\frac{D_k}{4^k}\equiv\sum_{k=0}^{p-1}\frac{D_k}{16^k}\equiv4x^2-2p-\frac{p^2}{4x^2}\pmod{p^3}, if $p\equiv2\pmod3$, \sum_{k=0}^{p-1}\frac{D_k}{4^k}\equiv-2\sum_{k=0}^{p-1}\frac{D_k}{16^k}\equiv\frac{p^2}2\binom{\frac{p-1}2}{\f...

the average distance of a vertex $v$ of a connected graph $g$is the arithmetic mean of the distances from $v$ to allother vertices of $g$. the proximity $pi(g)$ and the remoteness $rho(g)$of $g$ are defined as the minimum and maximum averagedistance of the vertices of $g$. in this paper we investigate the difference between proximity or remoteness and the classical distanceparameters diameter a...

In this paper, we prove two supercongruences conjectured by Sun via the Wilf–Zeilberger method. One of them is, for any prime $$p>3$$ , $$\begin{aligned} {}_{4}F_{3}\bigg [\begin{array}{llll} \frac{7}{6}&{}\frac{1}{2}&{}\frac{1}{2}&{}\frac{1}{2}\\ &{}\frac{1}{6}&{}1&{}1\end{array}\bigg |\frac{1}{4}\bigg ]_{p-1}\equiv p(-1)^{(p-1)/2}-p^{3}E_{p-3}\pmod {p^{4}}, \end{aligned}$$ where $$E_{p-3}$$ i...

Maximizing revenue in the presence of perfectly informed players is a well known goal in mechanismdesign. Yet, all current mechanisms for this goal are extremely vulnerable to equilibrium selection. In thispaper we both clarify and rectify this situation by proving that • No (even weakly) dominant-strategy mechanism can guarantee an arbitrarily small fraction of themaximum possible ...

An exchange assay has been validated and used to measure the total concentration of estrogen receptors in the nuclei of cells from human breast tumors and myometrium. Tissue homogenates were centrifuged through 1.2 M sucrose pads to separate crude chromatin from soluble and membranous frac tions. The yield of DMA by this procedure was approximately 80%. Total binding sites were measured by incu...

In AAMAS 2014, Bouveret and Lemâıtre (2014) presented a hierarchy of fairness concepts for allocation of indivisible objects. Among them CEEI (Competitive Equilibrium with Equal Incomes) was the strongest. In this note, we settle the complexity of computing a discrete CEEI assignment by showing it is strongly NP-hard. We then highlight a fairness notion (CEEI-FRAC) that is even stronger than CE...

the textit{commutativity degree}, $pr(g)$, of a finite group $g$ (i.e. the probability that two (randomly chosen) elements of $g$ commute with respect to its operation)) has been studied well by many authors. it is well-known that the best upper bound for $pr(g)$ is $frac{5}{8}$ for a finite non--abelian group $g$. in this paper, we will define the same concept for a finite non--abelian textit{...