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theory
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  theory
We use the theory of tilting modules for algebraic groups to propose a characteristic free approach to "Howe duality" in the exterior algebra.
      
This study was continued in the paper [FKRW] in the framework of vertex algebra theory.
      
As in the case of Mumford's geometric invariant theory (which concerns projective good quotients) the problem can be reduced to the case of an action of a torus.
      
We also show how to distinguish examples of open subsets with a good quotient coming from Mumford's theory and give examples of open subsets with non-quasi-projective quotients.
      
The theory is applied to the case of cubic hypersurfaces, which is the one most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special K?hler manifolds.
      
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Measurement of the intensity of total scattering of x-rays by a number of polyatomic gases was made for scattering angles between 15° and 130 ° using an ionization method of recording the scattered intensity. Balanced filters of ZrO2, and SrO were used to separate the MoKa rays and Soller slits were placed in front of the ionization chamber to obtain a definite scattering angle. The gases studied are CL2, CO2, N2O, H2S, CC14 and CHCl3. In each case the absolute values of the scattered intensity were determined...

Measurement of the intensity of total scattering of x-rays by a number of polyatomic gases was made for scattering angles between 15° and 130 ° using an ionization method of recording the scattered intensity. Balanced filters of ZrO2, and SrO were used to separate the MoKa rays and Soller slits were placed in front of the ionization chamber to obtain a definite scattering angle. The gases studied are CL2, CO2, N2O, H2S, CC14 and CHCl3. In each case the absolute values of the scattered intensity were determined by comparison with the scattering from oxygen, the results of Wollan for the latter gas being taken as correct. The experimental results are actually compared with Woo's theory of the scattering of x-rays by polyatomic gases and the agreement seems to be satisfactory.

吴有训氏最近对于多原子气体散射线之理论,曾作详尽的探讨。吴氏得到一个公式,表示由多原子气体所散射之强度,其中一部为相干的散射,另一部为不相干的散射。 以前关于多原子气体散射X-线之实验,为数甚少,且为定性的结果。最近美人Wollan,对于由O_2及N_2(双原子气体)所散射钼的K_3α线之强度,曾作绝对的度量。Wollan的结果,与吴有训氏的理论,甚属相符。本篇目的,在测定由 Cl_2,CO_2,N_2O,H_2S,CCl_4及 CHCl六种气体所散射X-线之强度,每一实验,均与由0_2者互相比较,根据Wollan的结果,每种气体所散射之绝对强度,皆一一量得。所用之入射X-线为钼之Kα线,系藉Ross的平衡过滤法分出。强度之测量,系用一游离方法。散射角度的范围,自15度至130度。每种气体的实验结果,均与吴氏的理论,互相比较,证明理论与实验,甚属相符。在计算时,原子的“构造因数”,系由Hartree的方法算得,一分子中两原子的相隔距离,则由带光谱的结果推得。

The general feature of the Stark effect of the alkali atoms, the linear effect observed by Ny and Choong for the lines near the series limit of Cs and Rb, the decomposition of the m2S-n2D lines of Na into n-2 equidistant components, and the appearence of m2S-n2S series in a polarization are discussed on the basis of the perturbation theory.

本文於金硷属原子Stark效应之主要现象,及严锺二氏观察得在电场中Cs及Rb线系限附近之线之 移动与电场所成之直线关系,m~2S—n~2S系线在σ偏极面之出现,及严翁二氏视察得Na之3~2S—n~2D线之分为n—2线等现象,从量子力学之微扰理论,加以讨论及解释。

A simplified wave-mechanical method of deriving the temperature factor in the reflection of X-rays from crystals is given(1). The general expression for the function M is the same as calculated by Zener and Jauncey. Hence the discrepency between Zener's theory for hexagonal crystals and the experiments may be due to the special model used in his calculation.

由简单之波动力学计算,求得Debye-Waller函数结果与Zener及Jauncey者相同故Zener对六角结晶之理论与实验结果之差异,或因其计算中所用之特殊模形所致。

 
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