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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On cancellation laws in cardinal arithmetic without the axiom of choice
选择公理 基数算术 取消定律
2023/4/17
We survey known results concerning cancellation laws in cardinal arithmetic without the axiom of choice. These results include the cancellation law for Dedekind finite cardinals in cardinal addition a...
Open colorings,the continuum and the second uncountable cardinal
Open colorings the continuum second uncountable cardinal
2015/8/17
The purpose of this article is to analyze the cardinality of the continuum using Ramsey theoretic statements about open colorings or “open coloring axioms.” In particular I will show that the conjunct...
PROPER FORCING,CARDINAL ARITHMETIC,AND UNCOUNTABLE LINEAR ORDERS
PROPER FORCING CARDINAL ARITHMETIC UNCOUNTABLE LINEAR ORDERS
2015/8/17
In this paper I will communicate some new consequences of the Proper Forcing Axiom. First, the Bounded Proper Forcing Axiom implies that there is a well ordering of R which is Σ1-definable in (H(ω2), ...
Linear Orderings and Powers of Characterizable Cardinal
Infinitary Logic Scott sentence Characterizable cardinals
2011/2/21
The current paper answers an open question of [5].We say that a countable modelMcharacterizes an infinite cardinal , if the Scott sentence ofMhas a model in cardinality , but no models in cardinalit...
An efficient nonlinear cardinal B-spline model for high tide forecasts at the Venice Lagoon
nonlinear cardinal B-spline model high tide forecasts Venice Lagoon
2009/11/9
An efficient class of nonlinear models, constructed using cardinal B-spline (CBS) basis functions, are proposed for high tide forecasts at the Venice lagoon. Accurate short term predictions of high ti...
关于Cardinal L-样条的一些极值问题
2007/12/11
本文研究了Cardinal L-样条函数空间对一类可微函数类在$L^1(R)$尺度下的最佳逼近和最佳线性逼近,确定了这两类最佳逼近的精确值相等,并表明了Cardinal L-样条插值为最佳的线性逼近方法。
Cardinal-Hermite插值逼近
Sobolev空间 Cardinal-Hermite插值 逼近
2012/11/13
Sobolev空间的Cardinal样条逼近已有较多研究.在此研究了Sobolev空间的Cardinal-Hermite插值问题,构造了插值逼近算子,并利用插值算子对多项式的重构性质获得了逼近阶的估计.
Lipschitz空间的Cardinal样条逼近
Lipschitz空间 Cardinal样条 逼近
2012/11/13
给出了Lipschitz空间Lip(γ,Lp)利用多元Cardinal样条的逼近和刻画,给出了Cardinal样条逼近算子的Bernstein不等式以及K-泛函由逼近阶的控制不等式.