conclusions there is a significant increased incidence of mortality, prolonged hospitalization, and rehospitalization in symptomatic patients with severe tr. therefore, we recommend more aggressive approach toward tv repair or replacement in these patients regardless of pap and systolic function. results heart failure (50%) was the most cause of death. mean years of survival from diagnosis of s...

The efficient solution of the normal equations corresponding to a large sparse linear least squares problem can be extremely challenging. Robust incomplete factorization (RIF) preconditioners represent one approach that has the important feature of computing an incomplete LLT factorization of the normal equations matrix without having to form the normal matrix itself. The right-looking implemen...

Background Celiac disease (CD) is an autoimmune mediated gluten sensitive enteropathy and characterized by a wide range of clinical manifestations. The study aimed to compare Doppler tissue echocardiography findings between children with celiac disease and healthy children. Materials and Methods This case-control study was performed on 186 celiac and healthy children aged 6- 19 years.  Celiac d...

In this paper, we characterize when the radical $\sqrt{I}$ of every interior ideal $I$ a semigroup $S$ is subsemigroup $S$. Also, (or right or left quasi-ideal bi-ideal subsemigroup) an bi-ideal)

Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields are studied. An algorithm for factorizing xn − λ over Fq2 is given, where λ is a unit in Fq2 . Based on this factorization, the dimensions of the Hermitian hulls of λ-constacyclic codes of length n over Fq2 are determined. The characterization and enumeration of constacyclic Hermitian self-dual (resp., complementary dua...

This paper is concerned with how the QR factors change when a real matrix A suffers from a left or right multiplicative perturbation, where A is assumed to have full column rank. It is proved that for a left multiplicative perturbation the relative changes in the QR factors in norm are no bigger than a small constant multiple of the norm of the difference between the perturbation and the identi...

Given a system of linear equations ℓ i ( x ) = β $$ {\ell}_i(x)={\beta}_i in an n -vector 0–1 variables, we compute the expectation exp − ∑ γ 2 \exp \left\{-{\sum}_i{\gamma}_i{\left({\ell}_i(x)-{\beta}_i\right)}^2\right\} , where is vector independent Bernoulli random variables and > 0 {\gamma}_i>0 are constants. The algorithm runs quasi-polynomial O ln {n}^{O\left(\ln n\right)} time under some...

A natural variant of Lehmer’s conjecture that the Ramanujan $$\tau $$ -function never vanishes asks whether, for any given integer $$\alpha , there exist $$n \in \mathbb {Z}^+$$ such (n) = \alpha . series recent papers excludes many integers as possible values using theory primitive divisors Lucas numbers, computations points on curves, and congruences (n)$$ We synthesize these results methods ...