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THE BOSON BOUND STATES IN FOUR-DIMENSIONAL STATIC RIEMANN SPACETIME

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Chinese Science Bulletin 1985年第7期30卷 877-880页

作者：桂元星 Department of Physics Dalian Institute of Technology

Recently, the boson bound states in Schwarzschild spacetime and Kerr spacetime has been discussed by some authors. It has been proved that the boson bound states in a Schwarzschild spacetime do not exist. In this paper, the work is extended to general 4-dimensional static Riemann spacetime. We find that no boson bound state solution exists, when energy w≠0 in an asymptotically flat static spacetime with non-degenerate horizon, and if cosmic censorship is a principle of Nature. When w=0, it depends on the metric. Only in some special spacetime, for example, in a Schwarzschild spacetime, can a rigorous proof be given.

关键词： rigorous asymptotically degenerate Riemann horizon proof cosmic infinity infinitely assumed

SOME ENUMERATING PROBLEMS OF MAPS WITH VERTEX PARTITION

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Chinese Science Bulletin 1986年第15期31卷 1009-1013页

作者：刘彦佩 Institute of Applied Mathematics Academia Sinica Beijinghis paper provides the results on the enumerating problems of rooted treesrooted winter sweets and rooted unicycle graphs as planar maps with vertex partition although no such types of results have been obtained for more general cases in which some functional equations satisfied by the enumerating functions have been found.

This paper provides the results on the enumerating problems of rooted trees,rooted winter sweets and rooted unicycle graphs as planar maps with vertex partition although no such types of results have been obtained for... 详细信息

关键词： partition vertex planar winter satisfied subset 于沙 remaining mention infinitely

DECIDABILITY OF FINITE FORCING COMPANION

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Chinese Science Bulletin 1990年第15期35卷 1315-1315页

作者：沈恩绍 Beijing Normal University Beijing 100875 PRC

It is well known that the finite forcing companion Tf is, in general, hyperarithmetic over T? . We obtain Tf is T?-decidable if it ∑1T?. The way of computing, one of the achievements of the 19th century mathematics, was found, by which for each positive primitive formula ψ, a single quantifier-free（Q-free） formula ψ* is equivalent to Resψ mod T, where T is the theory of fields. A. Robinson developed a model-theoretic approach, showing the exist-

关键词： mathematics primitive forcing showing quant infinitely recursive 切一树行

ON THE HOMOTOPY GROUPS OF FINITE DIMENSIONAL CW-COMPLEXES

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Chinese Science Bulletin 1989年第14期34卷 1229-1229页

作者：沈文淮 South China Normal University Guangzhou

Let p be a prime and Z_p a cyclic group of order p. C. A. McGibbon and J. A. Neisendorfer have proved the following result (Comment. Math. Helv., 59(1984),253—257):

关键词： subgroup infinitely letter sufficiently

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形色人生索妮亚·德劳内的艺术回溯

流行色 2015年第6期 86-95页

作者：张亚南王婷

色彩是世界的肌肤。Colour is the skin of the world.色彩展现音符的形象。Colour was the hue of number.一个善于发现色彩之间的关联、影响、对比与不和谐的人,将被赋予无限丰富的形色意象。One who knows how to appreciate colour ... 详细信息

色彩是世界的肌肤。Colour is the skin of the world.色彩展现音符的形象。Colour was the hue of number.一个善于发现色彩之间的关联、影响、对比与不和谐的人,将被赋予无限丰富的形色意象。One who knows how to appreciate colour relationships,the influence of one colour on another,their contrasts and dissonances,is promised an infinitely diverse imagery.——索妮亚·德劳内Sonia Delaunay

关键词：德劳内 Delaunay appreciate diverse infinitely 阿波利奈尔 imagery colour 现代艺术馆立体主义

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一类三阶非线性系统的全局渐近稳定性

经济数学 1991年第1期9卷 30-38页

作者：苏醒湖南财经学院

本文利用Liapanov函数讨论了一类菲线性系统的全局渐近稳定性态。在研究自动调节系统和实际运用中,以往都是运用BKL定理,本文利用改进了的BKL定理,得到了一类三阶非线性系统的全局渐近稳定性。包含了Lurpe、Rongelerff、徐兆、张献珍文... 详细信息

本文利用Liapanov函数讨论了一类菲线性系统的全局渐近稳定性态。在研究自动调节系统和实际运用中,以往都是运用BKL定理,本文利用改进了的BKL定理,得到了一类三阶非线性系统的全局渐近稳定性。包含了Lurpe、Rongelerff、徐兆、张献珍文献的结论作为特例,并削弱了上述文献中的一些条件。

关键词：全局渐近稳定性三阶非线性 proof nontrivial Liapunov 自动调节系统 infinitely arbitrarily infinity satis

ON THE CONGRUENCE 2^(n-k)≡1(mod n)

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Chinese Science Bulletin 1988年第13期33卷 1139-页

作者：袁平之 Department of Mathematics Sichuan University Chengdu

Recently, Rotkiewicz proved that there exist infinitely many positive integers n such that 2n-2≡1（modn）. Shen Mok-Kong proved that for each of i≡0, 1,.., there exist infinitely many positive integers n such that 2n-k≡1（?）（modn）, where k0=2, ki+1=2ki-1. However, it remains a question whether there are infinitely many positive integers n such that 2n-k≡1（modn） for each given positive integer k>1（see Shen Mok-Kong, Math. Comp., 46（1986）, 715—716）

关键词： integers infinitely letter mod n n-k 内凡 careful thank

TWO THEOREMS OF ELLIPTIC MBIUS GROUPS IN 3 DIMENSIONS

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Chinese Science Bulletin 1988年第8期33卷 704-页

作者：周展 Department of Applied Mathematics Hunan University Changsha

Let M((?)~3) denote the group consisting of all orientation-preserving M(?)bius transformations in (?)~3. g∈ M((?)~3) is called elliptic if it has infinitely many fixed points in (?)~3. R. C. Lyndon and J. L. Ullman have ever proved a theorem of the elliptic M(?)bius groups in 2 dimensions. In this letter, we consider the elliptic M(?)bius

关键词： elliptic infinitely dimensions preserving letter formations 石口

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Fditor's Note

城市漫步（GBA版） 2017年第6期 4-4页

作者： Jocelyn Richards 不详

This time last year;sidewalks in southern China were reserved for ***-less bike share-and the rows of multicolored frames now inundating city streets-was still largely in conception,and no one could be sure how Mobike would fare in a country that had,for so many years,become fixated on ***,here we are in June 2017,wondering how we lived without these‘park anywhere'cycles that make our morning commutes and weekend outings infinitely more convenient.

关键词： infinitely colored dating