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THE GAMMA AND BETA MATRIX FUNCTION AND OTHER APPLICATIONS
The paper presents Gamma and Beta functions and their applications to real life problems. After relating the gamma function withEuler’s infinite products, the Hermite series and Hypergeometric series, then the computation of perimeter ( pn ) of a ...
UWAMUSI, STEPHEN
core
Exact Expressions for Kullback–Leibler Divergence for Multivariate and Matrix-Variate Distributions
The Kullback–Leibler divergence is a measure of the divergence between two probability distributions, often used in statistics and information theory. However, exact expressions for it are not known for multivariate or matrix-variate distributions apart ...
Victor Nawa, Saralees Nadarajah
doaj +1 more source
Ising field theory in a magnetic field: φ 3 coupling at T > Tc
We study the “three particle coupling” Γ 11 1 ξ $$ {\Gamma}_{11}^1\left(\xi \right) $$ , in 2d Ising Field Theory in a magnetic field, as the function of the scaling parameter ξ := h/(−m)15/8, where m ∼ T c − T and h ∼ H are scaled deviation from the ...
Hao-Lan Xu, Alexander Zamolodchikov
doaj +1 more source
Robust Relative Error Estimation
Relative error estimation has been recently used in regression analysis. A crucial issue of the existing relative error estimation procedures is that they are sensitive to outliers.
Kei Hirose, Hiroki Masuda
doaj +1 more source
Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
The nullity of the net Laplacian matrix of a signed graph
The net Laplacian matrix of a signed graph \(\Gamma = (G, \sigma)\), where \(G = (V(G),E(G))\) is an unsigned graph (referred to as the underlying graph) and \(\sigma: E(G) \rightarrow \{-1, +1\}\) is the sign function, is defined as \(L^{\pm}(\Gamma) =
Zhuang Xiong
doaj +1 more source
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
Radiative B decay spectrum: DGE at NNLO.
We compute the differential ¯B → Xsγ decay width in the Standard Model as a function of the photon energy using Dressed Gluon Exponentiation (DGE).
Andersen, Jeppe R., Gardi, Einan
core +1 more source
Exchange Coupling of Paramagnetic Ions in a Polyoxometalate Matrix: Density Functional Study of Diiron(III) Substituted γ-Silicotungstates [PDF]
The quantum chemical (density functional) analysis of the antiferromagnetic interactions between the two iron centers incorporated into the gamma-silicotungstate is performed. The influence of the polyoxometalate framework on the exchange coupling within the diiron core unit is studied.
Zueva, Ekaterina +2 more
openaire +2 more sources
This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
wiley +1 more source

