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construction
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     construction.
     建构原理
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  construction
In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
      
The aim of this paper is to discuss a construction of a class of linear isomorphisms σ:S(g)→U(g) which commute with the adjoint representation.
      
However, there are many examples that do not arise from this construction.
      
Using the properties ofn-Hopf algebras we show that certain spaces do not admit the structure of ann-valued group and that certain commutativen-valued groups do not arise by applying then-coset construction to any commutative group.
      
We give complete proofs of the K-theoretic construction of the quantized enveloping algebra of affine gl(n) sketched in [GV].
      
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The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and...

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and Humason's velocity-distance relation. The second part is a correction which amounts to 11.5% for d2x10~8 l.y. and hence lies within observational error of the present Mt. Wilson 100-inch telescope. The theory shows that both Milne's recent Newtonian theory of the expanding universe and Lemaitre's interpretation of tha velocity-distance are first order approximations and are valid only within 2xl08 l,y. from our galaxy. The calculation for the phenomsna of nebular recession beyond 2xl08 l.y. to be observed by the 200-inch telescope now under construction according to the present scheme will be presented in the near future.

本文用安因斯坦力学及引力论解释宇宙之膨胀现象。从本文方程式中可证明雷猛德及米恒诸氏之学说皆为本文之近似值,而本文理论之能成立与否须恃200英寸反光镜完成后之观测云。

This paper describes the construction of a new function of n variables i,u,v,……,z,which becomes identical to the given function f(t,u,v,……, z) of n variables when (n-1) of the variables are each assigned their own specific values used in the construction of the function.In case of two variables, the surfaces of f(t, u) and coincide laong 4r sections at the values t_1,t_1′,t_2,t_2′,……,t_r, t_r′, u_1,u_1′,u_2,u_2′,……,u_r,u_r′. If both are ocntinuous and single-valued, actual examples indicate that...

This paper describes the construction of a new function of n variables i,u,v,……,z,which becomes identical to the given function f(t,u,v,……, z) of n variables when (n-1) of the variables are each assigned their own specific values used in the construction of the function.In case of two variables, the surfaces of f(t, u) and coincide laong 4r sections at the values t_1,t_1′,t_2,t_2′,……,t_r, t_r′, u_1,u_1′,u_2,u_2′,……,u_r,u_r′. If both are ocntinuous and single-valued, actual examples indicate that the new function is a very close approximation of the original function f(t,u) within the region of cross-lines of coincidence.

本文介绍一个新型多元函数结构.它在一定条件下: 1)可根据一定的已知数值决定函数的其他近似值, 2)可作为构成经验公式的骨架.

It is well known to engineers that railway embankments should be compacted during construction in order to insure stability and prevent excessive settlement. Naturally there arises the problem, to what degree of density should an embankment be compacted. This forms the subject of this paper from both the theoretical and the practical points of view.

路堤高填土應達到什麼密度的問題最近在鐵路工作中被提出來。在文獻中,關於這個問題的系統分析不很多見。這篇報告從土壤的强度理論和土壤的壓縮性質出發,解釋路堤中一些現象的根源,提供合理地設計高填土密度的論據;並且針對現場的需要而介紹一部份有關的蘇聯先進資料。希望關心這件工作的同志們多給以批評和討論。

 
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