scholarly journals Affine-ruled varieties without the Laurent cancellation property

2016 ◽  
Vol 48 (5) ◽  
pp. 822-834
Author(s):  
Adrien Dubouloz ◽  
Pierre-Marie Poloni
Keyword(s):  
Cancellation Property

On the calculation of the reliability of general load sharing systems

1995 ◽  
Vol 32 (03) ◽  
pp. 777-792 ◽  
Author(s):  
Shiowjen Lee ◽  
S. Durham ◽  
J. Lynch
Keyword(s):  
Large Scale ◽  
Recursive Formula ◽  
Load Sharing ◽  
Interesting Property ◽  
Strength Distribution ◽  
Sharing Rule ◽  
Cancellation Property ◽  
Sharing Rules ◽  
Relationship Of ◽  
Insight Into

Harlow et al. (1983) have given a recursive formula which is fundamental for computing the bundle strength distribution under a general class of load sharing rules called monotone load sharing rules. As the bundle size increases, the formula becomes prohibitively complex and, by itself, does not give much insight into the relationship of the assumed load sharing rule to the overall strength distribution. In this paper, an algorithm is given which gives some additional insight into this relationship. Here it is shown how to explicitly compute the bundle strength survival distribution by using a new type of graph called the loading diagram. The graph is parallel in structure and recursive in nature and so would appear to lend itself to large-scale computation. In addition, the graph has an interesting property (which we refer to as the cancellation property) which is related to the asymptotics of the Weibull as a minimum stable law.

The cancellation property for direct products of analytic space germs

1990 ◽  
Vol 286 (1-3) ◽  
pp. 209-223 ◽  
Author(s):  
Herwig Hauser ◽  
Gerd Müller
Keyword(s):  
Analytic Space ◽  
Direct Products ◽  
Cancellation Property

Marcinkiewicz integral operators on product domains

2002 ◽  
Vol 132 (3) ◽  
pp. 523-530
Author(s):  
KYUNG SOO RIM
Keyword(s):  
Integral Operator ◽  
Integral Operators ◽  
Marcinkiewicz Integral ◽  
Cancellation Property ◽  
Product Domains ◽  
Marcinkiewicz Integral Operator

With the cancellation property of the bounded kernel, we prove that the generalized Marcinkiewicz integral operator is bounded on L2 (ℝn×ℝm) for all dimensions n, m.

scholarly journals A chromatic-cancellation property of human pupillary responses

1996 ◽  
Vol 36 (11) ◽  
pp. 1543-1550 ◽  
Author(s):  
Eiji Kimura ◽  
Rockefeller S.L. Young
Keyword(s):  
Cancellation Property ◽  
Pupillary Responses

scholarly journals A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise

2021 ◽  
Vol 31 (6) ◽  
Author(s):  
Diego Alonso-Orán ◽  
Christian Rohde ◽  
Hao Tang
Keyword(s):  
Hilbert Spaces ◽  
Differential Operators ◽  
Approximation Property ◽  
Blow Up ◽  
Nonlinear Models ◽  
Local Theory ◽  
Cancellation Property ◽  
Singular Drift ◽  
Two Component ◽  
And Diffusion

AbstractWe establish a local theory, i.e., existence, uniqueness and blow-up criterion, for a general family of singular SDEs in Hilbert spaces. The key requirement relies on an approximation property that allows us to embed the singular drift and diffusion mappings into a hierarchy of regular mappings that are invariant with respect to the Hilbert space and enjoy a cancellation property. Various nonlinear models in fluid dynamics with transport noise belong to this type of singular SDEs. By establishing a cancellation estimate for certain differential operators of order one with suitable coefficients, we give the detailed constructions of such regular approximations for certain examples. In particular, we show novel local-in-time results for the stochastic two-component Camassa–Holm system and for the stochastic Córdoba–Córdoba–Fontelos model.

scholarly journals Schreier systems in free products

1965 ◽  
Vol 7 (2) ◽  
pp. 61-79 ◽  
Author(s):  
I. M. S. Dey
Keyword(s):  
Free Group ◽  
Free Products ◽  
Cancellation Property

In 1927 Schreier [8] proved the Nielsen-Schreier Theorem that a subgroup H of a free group F is a free group by selecting a left transversal for H in F possessing a certain cancellation property. Hall and Rado [5] call a subset T of a free group F a Schreier system in F if it possesses this cancellation property, and consider the existence of a subgroup H of F such that a given Schreier system T is a left transversal for H in F.

The Cancellation Property of Projective Modules

2006 ◽  
Vol 13 (04) ◽  
pp. 617-622 ◽  
Author(s):  
Hongbo Zhang ◽  
Wenting Tong
Keyword(s):  
Projective Modules ◽  
Finitely Generated ◽  
Prüfer Domain ◽  
Cancellation Property ◽  
Dedekind Domains

An R-module M is said to have the cancellation property provided that M⊕ B ≅ M⊕ C implies B ≅ C for any pair of R-modules B and C. We obtain a characterization of the cancellation property for projective R-modules. With this result, it is proved that Dedekind domains have the cancellation property; and if R is a Prüfer domain, then R⊕ B ≅ R⊕ C implies B ≅ C for any pair of finitely generated R-modules B and C.

CONSTRUCTION OF BLOW-UP SEQUENCES FOR THE PRESCRIBED SCALAR CURVATURE EQUATION ON Sn I: UNIFORM CANCELLATION

2012 ◽  
Vol 14 (02) ◽  
pp. 1250008 ◽  
Author(s):  
MAN CHUN LEUNG
Keyword(s):  
Scalar Curvature ◽  
Positive Solutions ◽  
Infinite Number ◽  
Reduction Method ◽  
Blow Up ◽  
Curvature Function ◽  
Cancellation Property ◽  
First Order ◽  
Curvature Equation ◽  
Derivatives Of

For n ≥ 6, using the Lyapunov–Schmidt reduction method, we describe how to construct (scalar curvature) functions on Sn, so that each of them enables the conformal scalar curvature equation to have an infinite number of positive solutions, which form a blow-up sequence. The prescribed scalar curvature function is shown to have Cn - 1,β smoothness. We present the argument in two parts. In this first part, we discuss the uniform cancellation property in the Lyapunov–Schmidt reduction method for the scalar curvature equation. We also explore relation between the Kazdan–Warner condition and the first-order derivatives of the reduced functional, and symmetry in the second-order derivatives of the reduced functional.

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