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By using theconvergence properties of infinite matrix in E and the sequentially open sets notion,it pr-esents a criterion for the sequential topological vector spaces.

本文首先借助于E中无穷矩阵的收敛性态及序列开集概念给出了E是序列型空间的刻划。

Using the infinite product of unevenly distributed probability space with potential of 3, the concept of formula truth degree was introduced into the Gdel 3-valued propositional logic system. Moreover, it was proved that in the 3-value (1/4, 1/2, 1/4), measure the set of truth of degree of propositions was dense in [0, 1], and a general expression of truth degree was obtained, providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

利用势为3的非均匀概率空间的无穷乘积,在Gdel三值命题逻辑系统中引入公式的真度概念,在三值逻辑(四分之一,二分之一,四分之一)测度下证明G3中全体公式的真度值之集在[0, 1]上是稠密的,并给出公式真度的表达通式,为进一步在三值命题逻辑系统中展开近似推理奠定基础。

And the exceptional set in his result was an infinite sequence of complex numbers.

在文献〔4〕中Anderson等人推广Hayman的结果〔3〕并提出问题:能否把例外集扩大为无穷多个小圆盘?

Assuming that there is a plural Z and , with the following iterative calculation : Z = Z2 +, because the value of different , after several iteration number Z after the amplitude may tend to infinity. May also maintained sector, Mandebo Lott who is set to make Z maintained sector pool put on the complex plane make the distribution of images, as demonstrated above in the extremely complex structure.

假设有复数Z和μ,用下式迭代计算:Z=Z2+μ,由于μ的取值不同,经过若干次数迭代以后Z的幅值可能趋向无穷,也可能保持有界,曼德勃罗特集就是那些使Z保持有界的μ的集合,把μ在复平面上的分布作成图像,就像上面演示的那样具有极其复杂的结构。

There are many places of interest in Nanguo Peach Garden including Peach Blossom Valley, Egrets' Paradise,"Movie Town"(the Nanhai Television branch and Film Town of CCTV), the European style Peach Garden Country Club, the 5 star Fontainebleu Hotel, the beautiful Butterfly Valley Resort, the long-historical Kwan-Yin Temple…… Nanguo Peach Garden would be the best choice for your leisure, vacation, business and conference. You will consider it a joy to play golf in such a wonderful environment.

南国桃园内有倾城倾国的桃花园、引人入胜的鹭鸟天堂、南海影视文化城、欧陆风格的乡村俱乐部、时尚高档的枫丹白鹭酒店、高贵典雅的蝴蝶谷酒店、历史悠久的南海观音寺……南国桃园已成为一个集休闲度假、康体娱乐、商务会议于一体的旅游胜地,阁下在这样的环境中打球可以享受到无可比拟的自然景色与挥杆的无穷乐趣。

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形,同时,也按照这一理论框架,给出了高维二进径向小波的具体例子,具有下列性质:ψ是无穷次连续可微的;ψ是局部支撑的,支集为‖x‖≤1;ψ含有分式因子,因此对&奇异点&更为敏感;ψ是不可分的,不同于张量积形式的高维小波;ψ是各向同性的。

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