Results 91 to 100 of about 1,100,887 (279)
Fock spaces corresponding to positive definite linear transformations
Suppose $A$ is a positive real linear transformation on a finite dimensional complex inner product space $V$. The reproducing kernel for the Fock space of square integrable holomorphic functions on $V$ relative to the Gaussian measure $d\mu_A(z)=\frac ...
Fabec, R., Olafsson, G., Sengupta, A.
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ABSTRACT Wilson disease (WD) is an autosomal recessive disorder of copper metabolism caused by ATP7B mutations. Diagnosis is usually straightforward in symptomatic patients, but can be challenging in children and adolescents with mild liver disease, borderline urinary copper excretion, or inconclusive genetic findings.
Emanuele Nicastro +10 more
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On the Positive Definite Solutions of a Nonlinear Matrix Equation
The positive definite solutions of the nonlinear matrix equation are discussed. A necessary and sufficient condition for the existence of positive definite solutions for this equation is derived.
Panpan Liu, Shugong Zhang, Qingchun Li
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ABSTRACT Carpenter syndrome type 2 (CRPT2) is a rare autosomal recessive disease mainly characterized by craniosynostosis and polysyndactyly. CRPT2 is the rarer subtype of Carpenter syndrome (CRPTS) and is caused by biallelic variants in the multiple epidermal growth factor‐like domains 8 gene (MEGF8).
Kiana Rashidi +11 more
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Some trace inequalities for matrix means
In this short note, we present some trace inequalities for matrix means. Our results are generalizations of the ones shown by Bhatia, Lim, and Yamazaki.
Limin Zou, Yang Peng
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ABSTRACT Griscelli Syndrome Type 2 (GS2) is a rare autosomal recessive disorder caused by pathogenic mutations in the RAB27A gene. Typically, it is characterized by cutaneous hypopigmentation, immunodeficiency, with or without neurological abnormalities secondary to hemophagocytic lymphohistiocytosis (HLH). Without treatment, GS2 often results in fatal
Dzhoy Papingi +6 more
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Positive Semi-Definite and Sum of Squares Biquadratic Polynomials
Hilbert proved in 1888 that a positive semi-definite (PSD) homogeneous quartic polynomial of three variables always can be expressed as the sum of squares (SOS) of three quadratic polynomials, and a psd homogeneous quartic polynomial of four variables ...
Chunfeng Cui, Liqun Qi, Yi Xu
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Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids.
Massoud Amini, Alireza Medghalchi
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Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold
In the MIMO broadcasting system, channel state information (CSI) is often used for data detection at the receiver or preprocessing techniques such as the power control and user scheduling at the transmitter and hence, the study of its acquisition is ...
Wen Zhou +4 more
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Message-Passing Algorithms for Quadratic Minimization
Gaussian belief propagation (GaBP) is an iterative algorithm for computing the mean of a multivariate Gaussian distribution, or equivalently, the minimum of a multivariate positive definite quadratic function.
Ruozzi, Nicholas, Tatikonda, Sekhar
core

