alpha-fetoprotein (afp), a serum glycoprotein belonging to the onco-developmental proteins group, serves as a marker both in cancer research and in studies concerning fetal development and fetal pathophysiology. monoclonal anti-afp antibodies are essential reagents in developing appropriate techniques for measurement of this protein. in this study, in order to produce anti-afp monoclonal antibo...

Let $A(G)$ be the adjacency matrix and $D(G)$ diagonal of vertex degrees a simple connected graph $G$. Nikiforov defined $A_{\alpha}(G)$ convex combinations as $A_{\alpha}(G)=\alpha D(G)+(1-\alpha)A(G)$, for $0\leq \alpha\leq 1$. If $ \rho_{1}\geq \rho_{2}\geq \dots \geq \rho_{n}$ are eigenvalues (which we call $\alpha$-adjacency $G$), \alpha $-adjacency energy $G$ is $E^{A_{\alpha}}(G)=\sum_{i...

We consider the punctured plane with volume density $|x|^\alpha$ and perimeter $|x|^\beta$. show that centred balls are uniquely isoperimetric for indices $(\alpha,\beta)$ which satisfy conditions $\alpha-\beta+1>0$, $\alpha\leq 2\beta$ $\alpha(\beta+1)\leq\beta^2$ except in case $\alpha=\beta=0$ corresponds to classical inequality.

We investigate the structure of rank-to-rank elementary embeddings at successor rank, working in $\mathrm{ZF}$ set theory without Axiom Choice. Recall that set-theoretic universe is naturally stratified by cumulative hierarchy, whose levels $V\_\alpha$ are defined via iterated application power operation, starting from $V\_0=\emptyset$, setting $V\_{\alpha+1}=\mathcal{P}(V\_\alpha)$, and taking...

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...