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     The author has given a sort of the negative g state of J j coupling of 5 electrons and demonstrated that the possible negative g state of J j coupling is numerous. It is different from L S state.
     通过构造5 个电子 Jj 耦合的一类可能的负 g 因子原子态,表明了 Jj 耦合不同于 L S 耦合,它可能的负g 态的存在是大量的.
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     , Garcia J J.
     ,Garcia J J.
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     This paper studies the simple regression model y_j=α+βx_j+ε_j, j=1,2,…,n,where Eε_j=0,Eε_j~2=σ_1~2. But y_1, y_2, …, y_n are contaminated by another i. i. d.
     研究简单回归模型: y_i=α+βx_j+ε_j,j=1,2,…,n,其中Eε_j=0,Eε_j~2=σ_1~2;
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     This paper presents about the mathematics model of IF_i, that is IF_i=min {sum from i=1 to E FF_i~E}(i
     本文提出了IF_i~E的数学模型,即IF_i~E=min{sum from j to E FF_j~E}(i
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     SetT_3 = {(1 i), (j j + 1)|2 ≤ i ≤ m, m ≤ j ≤ n - 1} (4 ≤ m ≤ n - 1),T_4 = {(1 2i), (2i 2i + 1)|1 ≤ i ≤ m} (m ≥ 3).
     T_3={(1 i),(j j+1)|2≤i≤m,m≤j≤n-1}(4≤m≤n-1), T_4={(1 2i)),(2i 2i+1)|1≤i≤m}(m≥3)。
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     Five molecular makers R14,JJ113,JJ6782,JJ6242 and G103 linking with Pi-3,the blast resistance gene,with a distance of 1.7 cM,5.4 cM,16.2 cM,21.7 cM and 6.9 cM on rice Chromosome 9 were found by using both parents C104PKT and A57,and their F2 progenies with CO39 background in this study.
     利用CO39近等基因系中的C104PKT和A57-119及其杂交F2代为材料,在水稻第9染色体上找到了5个与Pi-3基因紧密连锁的分子标记R14,JJ113,JJ6782,JJ6242和G103,它们与Pi-3间的遗传距离分别为1.7cM,5.4 cM,16.2 cM,21.7 cM和6.9cM。
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Let Γ be the set of all permutations of the natural series and let α = {α j}j∈?, ν = {νj}j∈?, and η = {ηj}j∈? be nonnegative number sequences for which
      
It is found that even biquadratic exchange small by comparison with the Heisenberg value (j/J0 = 0.05) produces considerable changes (up to 30%) in the magnitude and temperature dependence of x-1(T) in the region kT ? J0.
      
We prove that for Λ = π and J = J1, the system has a unique two-magnon bound state (TMBS), while for Λ = π and J = 2J1, the system has three bound states.
      
Their actual values can be obtained by solving J(J+1) linear equations.
      
After service completion in the ith server station a unit is transmitted to the jth client station with probability pi,j (j=1,2,...,k), and being served in the jth client station the unit returns to the ith server station.
      
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By using the theory of symmetric group, an explicit formula for the calculation of fractional parentage coefficients in j -j coupling is obtained. For n = 3, 4 we obtain an explicit formula for the calculation of the fractional parentage coefficients with definite seniority number and reduced isotopic spin.

本文应用对称群的理论得到了jj偶合下的f.p.系数的一般表达式。对于n=3n=4的情形得到了具有一定前辈数与约化同位旋的f.p.系数的表达式。

A general theoretical approach is developed to treat the effect of point imperfections on the spin waves in a ferromagnetic crystal. Special attention is paid to the formation of localized modes. As an example, the calculations have been carried out for a one-dimensional linear lattice. The main results obtained indicate the following features. A substitutional magnetic impurity atom may introduce more than one localized mode of spin waves. The conditions for the localized modes to appear and the positions of...

A general theoretical approach is developed to treat the effect of point imperfections on the spin waves in a ferromagnetic crystal. Special attention is paid to the formation of localized modes. As an example, the calculations have been carried out for a one-dimensional linear lattice. The main results obtained indicate the following features. A substitutional magnetic impurity atom may introduce more than one localized mode of spin waves. The conditions for the localized modes to appear and the positions of their energy levels are given in terms of J'S'/JS and J'/J. Here S' and S are respectively the spin quantum number of the impurity and that of the normal atoms. J' and J are respectively the exchange integral between an impurity and its neighbors and that between the normal neighboring atoms. Highly concentrated strains and interstitial atoms which cause the exchange interaction between the atoms in their neighborhood to increase lead also to the formation of localized modes. Furthermore, the dipole-dipole interaction has been taken into consideration with the conclusion reached that it should not destroy the existence of these localized modes. Discussions have been given to the discrete energy levels which appear below the continuous spectrum in case of J'<0. It is pointed out that the Holstein-Primakoff approximation adopted in the present work is not quite legitimate for certain cases in which on one or more atoms the spin deviation becomes not very much smaller than 2S or 2S'.

本文提出了一个处理磁性杂质或其他缺陷在磁性晶体中对自旋波频谱的影响的一般理论方法,并特别着重讨论了局域模自旋波。以一维线性格子为例进行计算的结果显示出:一个代位磁性杂质,可能产生不只一个高于连续带顶的局域模。其产生的条件和其能级位置均通过J′S/JS和J′/J表达出来,这里S′和S各为杂质原子和基质原子的自旋量子数,J′和J各为杂质与近邻之间和一般近邻之间的交换作用系数。高度集中的应变和间隙原子如致使邻近处的交换作用增大,也导致局域模的出现。我们也考虑了磁偶极矩相互作用的影响,证明其并不破坏这些局域模的存在。我们还讨论了在J′<0时,连续谱之下出现的局域模能级。我们也指出,在某些情况下,自旋偏离过于局域在较少数的原子上,本文中所采用的Holstein-Primakoff近似就不十分合法了。

This paper explains the physical meaning of fracture parameter J (J integral) and presents a simple and accurate formula for determining the plane strain fracture toughness with a single three-point bending test piece. Also recommended is the method of testir.g KIC and JIC at the same time with the same test plece. By this method the relation between the stress intensity factor KI and the J integral, and the formula for calculating JIC are verified.The values of the plane strain fracture toughness...

This paper explains the physical meaning of fracture parameter J (J integral) and presents a simple and accurate formula for determining the plane strain fracture toughness with a single three-point bending test piece. Also recommended is the method of testir.g KIC and JIC at the same time with the same test plece. By this method the relation between the stress intensity factor KI and the J integral, and the formula for calculating JIC are verified.The values of the plane strain fracture toughness of the seven home-made high strength steels tested by this method are given.

本文首先介绍了断裂参数J(能量线积分)的物理意义,给出了测试平面应变断裂初度J_(IC)的一种比较简便而精确的、用三点弯曲试样和单点法计算J_(IC)的实用公式。其次,介绍了用同一试样同时测定K_(IC)和J_(IC)的方法,并用此法验证了应力强度因子K_I与能量线积分J的关系以及本文介绍的J_(IC)的实用计算公式。最后给出了用上述方法测定的七种在给定热处理条件下的国产高强钢的平面应变断裂韧度值。

 
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