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1)  continuous additive functional
连续可加泛函
2)  continuous functional
连续泛函
1.
That is,first construct interpolation networks in general spaces,and then construct approximate interpolation networks,finally,study the approximation of continuous functional with approximating network.
本文研究一般距离空间中的神经网络插值与逼近问题,即先在距离空间中构造新的插值网络,然后在此基础上构造近似插值网络,最后研究近似插值网络对连续泛函的逼近。
2.
The completement and continuous functional of double sequence space Lpq are discussed.
讨论二重序列空间Lpq的完备性及连续泛
3)  additive functional
可加泛函
1.
Using the ideal of Dynkin’s branching particle systems for reference,We constructa widespread class of two-type superprocesses by taking limit to the renormalized two-typebranching particle systems,and study the properties of the additive functional of the two-typesuperprocesses.
本文利用Dynkin的分枝粒子系统的方法,通过对两物种分枝粒子系统规整取极限,构造了一类广泛的两物种超过程,并研究了这类超过程的可加泛函的性质。
2.
In this paper, we investigate the Balayage Problem of a new form for X which is finer than the Balayage Problem in classical case and prove a representation Theorem of additive functionals for X: If A= {A_t,t≥0} is a nature additive functional of X,then, under some conditions, there exists a non-negative function g_A such that A_t=∫_0~gA(X_)ds andthe exact form of g_A is given.
设X是一个跳过程,本文解决了X的Bahyage问题,证明了X的任何自然可加泛函均能表示为一个连续的积分型可加泛函,还建立了X的下包络原理。
4)  Functional modulus of continuity
泛函连续模
5)  continuous glimm functional
连续 Glimm 泛函
6)  quasi-continuous functional
拟连续泛函
补充资料:连续泛函


连续泛函
continuous functional

  连续泛函Icon6皿ous fu.比onai;谈网阵件..曰.切皿-”“口困‘】] 把拓扑空间X(它通常也是向量空间)映射到R或C中的连续算子(contm以)us opemtor)(连续映射(田ntit田璐讯apping)),因此,对于任意算子的连续性定义和准则对于泛函仍保持成立.例如, l)为使泛函f:M一C(其中M是拓扑空间X的子集)在点从,任M上连续,必须对于任何“>O,存在x()的邻域U‘使得}f(劝一f(苏))}<。对于x任U成_侧泛函的连续性定义); 2)在分离拓扑向量空间的紧集上连续的泛函在该集合上有界,且达到它的上、下确界(,几记巧姗“牢稗(Wele侣位巧5 lj袱〕n习刀)): 3)因为每个非零线性泛函把Banach空间X映射_,‘r、_阶以非芍一一_、一也崔
  
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