Results 11 to 20 of about 2,185,451 (280)
The w-integral closure of integral domains
Let \(D\) be an integral domain with quotient field qf\((D)=K\). Recall that an element \(x \in K\) is called \(w\)-integral [respectively: pseudo-integral (or \(v\)-integral)] on \(D\) if \( xI^w \subseteq I^w\) [respectively: \(xI^v \subseteq I^v\)] for some nonzero finitely generated ideal \(I\) of \(D\). The authors denote by \(D^w\) [respectively:
Gyu Whan Chang, Muhammad Zafrullah
exaly +4 more sources
It is proved that if $D$ is a $UFD$ and $R$ is a $D$-algebra, such that $U(R)\cap D\neq U(D)$, then $R$ has a maximal subring. In particular, if $R$ is a ring which either contains a unit $x$ which is not algebraic over the prime subring of $R$, or $R$ has zero characteristic and there exists a natural number $n>1$ such that $\frac{1}{n}\in R$, then
exaly +4 more sources
Associations between ventricular boundary shift integral and composite cognitive domains across the alzheimer’s disease continuum [PDF]
Cognitive impairment is hallmark of Alzheimer’s disease (AD). Although structural MRI has consistently demonstrated widespread brain atrophy in AD, the comparative utility of different imaging sequences for predicting cognitive decline remains uncertain.
Hamide Nasiri +14 more
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The use of spline and singular functions in an integral equation method for conformal mapping [PDF]
We consider the integral equation method of Symm for the conformal mapping of simply-connected domains. For the numerical solution, we examine the use of spline functions of various degrees for the approximation of the source density o. In particular, we
Papamicheal, N, Hough, DM
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An orthonormalization method for the approximate conformal mapping of multiply-connected domains [PDF]
We consider the use of an orthonormalization method for constructing approximations to one of the standard conformal maps for multiply-connected domains. The method has been used successfully in [12], but only for the mapping of doubly-connected domains.
Kokkinos, CA +2 more
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Analysis of some localized boundary-domain integral equations [PDF]
Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is
Mikhailov, SE +2 more
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A Nyström Method for 2D Linear Fredholm Integral Equations on Curvilinear Domains
This paper is devoted to the numerical treatment of two-dimensional Fredholm integral equations, defined on general curvilinear domains of the plane. A Nyström method, based on a suitable Gauss-like cubature formula, recently proposed in the literature ...
Anna Lucia Laguardia, Maria Grazia Russo
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Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]
We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
doaj +1 more source
In the recent era of research, the field of integral inequalities has earned more recognition due to its wide applications in diverse domains. The researchers have widely studied the integral inequalities by utilizing different approaches.
Yabin Shao +5 more
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