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We consider the fission process from saddle point to scission point as a non-equili-brium transport process obeying the Master equation, which can be reduced into theform of Fokker-Planck equation approximately. Taking the mass asymmetry coordinatex as the macrovariable, the nuclear fission can be considered as a diffusion process inx space, the drift velocity v(x,t), which is a non-linear. function of x, is proportionalto the gradient of the potential surface of fission nucleus in x space. The kinetics ofnuclear...

We consider the fission process from saddle point to scission point as a non-equili-brium transport process obeying the Master equation, which can be reduced into theform of Fokker-Planck equation approximately. Taking the mass asymmetry coordinatex as the macrovariable, the nuclear fission can be considered as a diffusion process inx space, the drift velocity v(x,t), which is a non-linear. function of x, is proportionalto the gradient of the potential surface of fission nucleus in x space. The kinetics ofnuclear deformation from saddle point to scission point is represented by the variationof v(x,t) with time t phenomenologically. Assuming the mass distribution at saddlepoint is a symmetric one, and to solve the Fokker-Planck equation by means of Su-zuki's scaling limit approximation method, we get a solution which becomes a double-Gaussian asymmetric distribution on the potential valley after a time interval longenough, the width of mass distribution is proportional to nuclear temperature and in-versely proportional to relative depth of the potential valley. In the case of ~(235)U(n,f),the time interval evaluated from saddle point to scission point would be larger than1.6×10~(-21) second, while it has arrived at the statistical equilibrium state. The Fong'sstatistical theory of nuclear fission is proved to be the case of stationary solution of theFokker-Planck equation exactly.

本文把Ayik等人关于重离子核反应的非平衡统计理论运用于核裂变过程,证明了冯氏裂变统计理论是Fokker-Planck方程的稳定解情形,平衡时质量分布的峰值位于位能曲面的极小值处。本文还通过用Suzuki标度极限近似法解一个简化的数学模型,表明裂变过程中核子输运趋向平衡的时间约为10~(-21)秒的数量级,估计出~(235)U(n,f)从鞍点到断点的时间应大于1.6×10~(-21)秒。

In the last seyeral years some progress has been made in the study of the properties of the extent of Banach space. In 1979, for example, when Suillivan discussed a related characterization of real Lp(x)space,he used uniform behavior of all two-dimensional subspace and defined this concept of a KUR space; In 1980 Huff used the concept of an NUC space when he discussed the property of generalizing uniform convexity which was defined in terms of sequence; And in 1980 Yu Xin-tai stated certainly and proved that...

In the last seyeral years some progress has been made in the study of the properties of the extent of Banach space. In 1979, for example, when Suillivan discussed a related characterization of real Lp(x)space,he used uniform behavior of all two-dimensional subspace and defined this concept of a KUR space; In 1980 Huff used the concept of an NUC space when he discussed the property of generalizing uniform convexity which was defined in terms of sequence; And in 1980 Yu Xin-tai stated certainly and proved that the RKU space is equal to the NUC space[1].

近年来,在研究外延Banach空间性质上取得了进展的有:1979年SuilliVan讨论实L~P(x)空间性质并采用二维子空间的一致状态,定义了KUR空间的概念;1980年Huff讨论用序列定义的广义一致凸性,引用了NUC空间的概念:1982年俞鑫泰断言:KUR空间就是NUC空间的证明。 而值得注意的是Suillivan及Huff又分别提出了十分有趣的问题如下:是否每一个上自反空间都存在一个不动点?及在什么条件下L~P(x)空间是NUC空间? 本文旨在研究变换函数的性质及其与上述两个问题的关系。

In this paper we introduced the topology on complete set lattice. The derived sets, closure axioms and separation properties are discussed. Particularly we gived the following results: there are exactly 2|x| spaces consisted of the open-closed sets (they are also complete lattice spaces ) ; for every topological space , there is a complete lattice space < X, L(τ) ) which is generated by < X,τ> If is also not T1 ( or not T0)

文中在完全集格上引进了拓扑,讨论了这类空间中的导集、闭包公理与分离性质等。特别是给出了如下结果;恰好存在2|x|个由开拓集构成的空间(它们都是完全格空间):对每个拓扑空间,存在一个由生成的完全空间(X,L(τ))。如果(X,τ)不是T_1的(或不是T_0的),则也不是T_1的(或不是T_0的)。

 
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