The recently developed refractory multi-principle element alloy (MPEA), AlMo$_{0.5}$NbTa$_{0.5}$TiZr, shows an interesting microstructure with cuboidal precipitates of a disordered phase (${\beta}$, bcc) coherently embedded in ordered (${\beta}'$, B2) matrix, unlike the conventional Ni-based superalloys where (${\gamma}'$, L12) is precipitate and (${\gamma}$, fcc) matrix phase. It becomes criti...

A beta-negative binomial (BNB) process is proposed, leading to a beta-gamma-Poisson process, which may be viewed as a “multiscoop” generalization of the beta-Bernoulli process. The BNB process is augmented into a beta-gamma-gamma-Poisson hierarchical structure, and applied as a nonparametric Bayesian prior for an infinite Poisson factor analysis model. A finite approximation for the beta proces...

Distribution functions are introduced based on power transformations of beta and gamma distributions, and properties of these distributions are discussed. The gamma, beta, F, Pareto, Burr, Weibull and loglogistic distributions ares special cases. The transformed gamma mixed with a gamma yields a transformed beta. The transformed gamma is used to model aggregate distributions by matching moments...

background: &beta-glucans; are glucose polymers with a variety of stimulatory effects on the immune system. the objective of this study was to evaluate the immune-enhancing activities of low molecular weight gamma irradiated &beta-glucan; (i&beta-g;) extracted from pleurotus ostreatus in response to pseudomonas aeruginosa infection in rats. materials and methods: &beta-glucan; (&beta-g;) powder...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

this paper consider the   general  forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related  pr...

We make an investigation of modular $\Gamma^{\prime}_5 \simeq A^{\prime}_5$ group in inverse seesaw framework. Modular symmetry is advantageous because it reduces the usage extra scalar fields significantly. Moreover, Yukawa couplings are expressed terms Dedekind eta functions, which also have a $q$ expansion form, utilized to achieve numerical simplicity. Our proposed model includes six heavy ...