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     The Discussion of Some Nonlinear Operators and Applications to Boundary Value Problems for Differential Equations
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     Extension and discussion of vibrational relaxation equations
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     DISCUSSION OF A SU(2)×U(1)×S_3 MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS
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     Discussion of Knowledge Practice
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     A TENTATIVE DISCUSSION OF GENERAL PROPERTIES OF E_3
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     Discussion of the Subspecies of Salmonidae fishes,Brachymystax lenok tsinlingesis Li,from Shanxi,China
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     Discussion of Calculation Formula for Titration Error in Complexometry
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2(2) of "Calculus on Cantor triadic Set (I)-derivative" which is important to the discussion of exceptional Set is given.
      
The problem comes from the discussion of a growth model of self-maintaining protocell in multidimensional case.
      
An illustration is also given with the discussion of convergence by adjusting the parameters in the algorithm.
      
The particle diameters and 3D coordinates were calculated from the reconstructed 3D images by a series of image-processing methods, followed by a discussion of the experimental results.
      
The phenomenon of heterothallism in filamentous fungi is reviewed, with emphasis on the discussion of hormonal regulation of heterothallic strains of mucoraceous fungi.
      
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This paper presents an investigation of the"Automatic Operator" of Diesel Loco-motive based on the principle of compound programming control. According to the sur-rounding conditions of locomotive, the"Automatic Operator"can change its structure automatically in order to obtain better quality of control.In this paper, the principle scheme, the characteristics of"Automatic Operator" and the experimental results of automatic control of Diesel locomotive with "Automatic Operator"are presented, the principle and...

This paper presents an investigation of the"Automatic Operator" of Diesel Loco-motive based on the principle of compound programming control. According to the sur-rounding conditions of locomotive, the"Automatic Operator"can change its structure automatically in order to obtain better quality of control.In this paper, the principle scheme, the characteristics of"Automatic Operator" and the experimental results of automatic control of Diesel locomotive with "Automatic Operator"are presented, the principle and the design of logical circuit for changing the characteristics of"Automatic Operator"is emphasized. The latter part of the paper in-cludes a discussion of quality of control; and finally, formulas for determining the para-meters of the control system are derived.

文内介绍了采用复合控制原理和根据机车所处客观条件自动切换系统结构的内燃机车程序控制方案,介绍了按此方案制成的(自动司机)总体线路及其性能.介绍了利用这台控制机进行内燃机车自动驾驶的全面试验结果.文中着重讨论了自动切换系统结构的逻辑装置的设计计算.给出了综合这类系统参数的计算公式.此外,对系统的控制质量进行了详细讨论.

Conductivity measurements of the hydrochloride of aniline, methyl aniline and ethyl aniline in water aud in dioxane-water mixtures have been made at 25℃, by using a Jones Bridge. Measurements of conductances at 25℃ of these salts have been made in concentrations ranging from 0.1 normal to 0.001 normal, using water and numerous dioxane-water mixtures as solvents. The conductivities of these salts in water and some dioxane-water mixtures with excess free bases have also been measured. The hydrolysis constants...

Conductivity measurements of the hydrochloride of aniline, methyl aniline and ethyl aniline in water aud in dioxane-water mixtures have been made at 25℃, by using a Jones Bridge. Measurements of conductances at 25℃ of these salts have been made in concentrations ranging from 0.1 normal to 0.001 normal, using water and numerous dioxane-water mixtures as solvents. The conductivities of these salts in water and some dioxane-water mixtures with excess free bases have also been measured. The hydrolysis constants of these salts and the ionizatioa constants of these amines have been calculated from the conductivity measurements. The results are: K_h K_b Aniline hydrochloride 2.7 × 10~(-5) 4. 5 × 10~(-10) Methyl aniline hydrochloride 2.6 × 10~(-5) 4. 6 × 10~(-10) Ethyl aniline hydrochloride 1.1 × 10~(-5) 10. 6 × 10~(-10) A discussion of the effect of dielectric constant upon conductivities has been included. Calculations of the equivalent conductivities of these salts have been made and discussed. The equivalent conducfivities at infinite dilution at 25℃ are: Aniline hydrochloride 166 mho Methyl aniline hydrochloride 161 mho Ethyl aniline hydrochloride 152.5 mho

1. 作者在25℃時,用Jones電導橋测量氫氯化苯胺、N甲基苯胺及N乙基苯胺在水與水及二氧六圜的混合液裏的電導。這些氫氯化物的濃度為0.1,0.02,0.01, 及0.001 N。至於混合液中二氧六圜的成份,則爲每100毫升溶液內含有10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90等毫升。 2.含有過量苯胺類的這些氫氯化苯胺類的水溶液、以及水與二氧六圜的混合液中,也作了電導測定。 3.這些氫氯化物的水解分數、水解常數和這些苯胺的電離常數也作了計算和比較。 4.關於電導和介電常數的關係,在本文中曾爲簡單的討論。 5.這些氫氯化物的無限稀釋時的當量電導,在本文中也作了計算,並與文献中能查到的數據作了比較。

A new approximation method is proposed in this article for the discussion of molecular structures,and this new method includes the two well-known theories,molecular orbital theory and electron-pair bond theory as two special cases.Let a molecule have n bonds and let the ith bond be described by the anti-symmetrical two-electron bond function ψ_i(v_(2i-1),v_(2i)).(If there exist one- electron,three-electron or many-electron bonds,they can be similarly described by the corresponding one-electron,three-electron...

A new approximation method is proposed in this article for the discussion of molecular structures,and this new method includes the two well-known theories,molecular orbital theory and electron-pair bond theory as two special cases.Let a molecule have n bonds and let the ith bond be described by the anti-symmetrical two-electron bond function ψ_i(v_(2i-1),v_(2i)).(If there exist one- electron,three-electron or many-electron bonds,they can be similarly described by the corresponding one-electron,three-electron or many-electron bond func- tions.) Then the stationary state of the molecule is represented by the follow- ing wave function Ψ, where the summation is over all permutations of 1,2,……,2n except those within the interior of the functions,since each ψ_i is already anti-symmetrical.Obviously (2~n/((2n)/!))~(1/2) is the normalization factor. By quantum mechanics the energy of the molecule equals (1) here H_i,T_(ij) and S_(11)' are respectively the following three kinds of operators, (2) (3) (4) The third term of equation (1) is the exchange integral of electrons 1 and 1', while (1,2') is that of electrons 1 and 2'.According to the definition of bond functions,ψ_i may be written as (5) Substituting equation (5) into equation (1) and carrying out the integration over spin coordinates,we obtain (6) It can be easily seen from equation (6) that the combining energy of a mole- cule consists of two parts,one being the binding energy of the bonds represent- ed by the first term of equation (6),and the other being the interaction energy of the bonds denoted by the second term of that equation. If we choose certain functions φ_i~('s) involving several parameters and substi- tute them into equation (6),we may determine the values of those parameters by means of the variation principle. For the discussion of bond interaction energies,we develop a new method for the evaluation of certain types of three-center and four-center integrals.The interaction energy of a unit positive charge and an electron cloud of cylindrical- symmetry distribution may be written as (7) where (8) and R_0~2=a~2+b~2+c~2 The interaction energy of two electron clouds both of cylindrical-symmetry distributions with respect to their own respective axes is evaluated to be (9) (10) where is to sum over j from zero to the lesser value of n-2i and m, is to sum over i from zero to the integral one of n/2 and (n-1)/2,and is to sum over all cases satisfying the relation =m-j,while b_(n,n-2i) represents the coefficient of x~(n-2i) in the n th Legendre polynomial.

本文在分子结构理论方面,作了下列两点贡献:首先建议了用双电子或多电子键函数作为近似基础,来计算分子的近似能量和近似电子云分布。这样计算得来的结果,一定会比用分子轨道理论或电子配对理论好,因为它更真实的反映了分子的化学性质,同时它也包括了后两者,而以它们为特例。我们得到了分子结合能的表示式,用表示式证明了分子结合能由两部分组成:一部分是键的结合能,另一部分是键与键间的作用能。其次是建议了一种新方法,把在计算化学键相互间的作用能中遇到的一些三中心和四中心积分,还原为容易计算的二中心积分。这方法比以往所用的好,因为它计算比较简单,同时限制性也小。

 
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