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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...
The coordinate system has been proposed as a fundamental and cross-culturally used spatial representation, through which people code location and direction information in the environment. Here we prov...
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...
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), ...
A class of novel spatial relation, internal cardinal direction (ICD) relation, is introduced and discussed. Applying ICD-9 model, the characteristics and the simplification rule of ICD relations are d...
This article presents data on cardinal numerals in three sign languages from small-scale communities with hereditary deafness. The unusual features found in these data considerably extend the known ra...
Direction relations, as an important spatial relationship, is simply expressed as object prosperity in traditional geo-ontology. The lacking of explicit specifications and reasoning rules of direction...
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 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...
Star flowers are flowers that differ from normal Vitis flowers in that the calyptra breaks open from the top like the flowers of most other species plants. This is the first report of the occurrence o...
In the Nilotic and Ubangian languages expressions for cardinal directions have been created on the basis of a wide range of conceptual sources: primarily cosmological, geographical and atmospheric con...
In this paper the claim that Zeno's paradoxes have been solved is contested. Although "no one has ever touched Zeno without refuting him" (Whitehead), it will be our aim to show that, whatever it was ...
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。
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.
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.

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