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We show that manifolds which parameterize values of first integrals of integrable finite-dimensional bihamiltonian systems carry a geometric structure which we call aKronecker web.
      
We give a lower bound for the values Px,w(1) in terms of "patterns".
      
Using twisted Fock spaces, we formulate and study two twisted versions of the n-point correlation functions of Bloch-Okounkov, and then identify them with q-expectation values of certain functions on the set of (odd) strict partitions.
      
We construct a one-parameter family of flat connections ?κ on h with values in any finite-dimensional g-module V and simple poles on the root hyperplanes.
      
The irreducibility of a subspace U ?= V under the κα implies that, for generic values of the parameter, the braid group Bg acts irreducibly on U.
      
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Two types of optimalizing control systems are analyzed and compared under random interferences. By means of approximation, the expectation values of hunting loss are calculated.

本文利用近似法求出两种极值調节系統在随机干扰影响下搜索損耗的数学期望,因而可以在具体条件下比較两种調节器的优缺点。在正态平稳随机干扰下,相关搜索法对較强的輸入端干扰是适宜的;反之,在較弱的輸入端干扰时,一般步进搜索法比較有利。計算結果也給出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅,这些都是調节器的重要参数。

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 magneto-optical dispersion of acetyl acetone was measured in a magnetic field of about 6000 gausses in intensity and 4 cms in length. Absolute values of Verdet constant for the substance were obtained. Account for the discrepancies of the values of e/m and the atomic specific rotations calculated from the data was given.

吾人曾用各种单色光,测定Acetyl acetone之磁偏极化。

 
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