双目标优化排序问题1／rj，UET／Lmax∩Cmax

本文首先证明排序问题1/rj/Cmax的“随手加工”法则，然后在此基础上对1/rj,UET/Lmax∩Cmax给出一个多项式最优化算法。     

命题中量词的否定

本文拟讨论含有量词的命题的否定法则,作为对该文的一点补充。 §1 命题否定的意义 数学中的定理常采用假言命题:“A→B”,它是由命题A与B,用条件联结词“→”组成的。假言命题的四种形式可表达为:     

一种估算谱载疲劳裂纹起始寿命的方法

提出了一种估算谱载疲劳裂纹起始寿命的等效载荷法，该法在变幅载荷的均方根算式中引入加权因子和修正系数来分别反映不同载荷变程和平均应力对变幅疲劳寿命的影响，并用相应获得的等幅载荷取代变幅载荷来估算谱载下的疲劳裂纹起始寿命．该法仅依赖于材料的等幅S-N曲线和单轴力学性能，不含任何待定参数，使用方便；两种材料3种谱载下15组变幅疲劳试验数据的评估结果显示，该法的平均寿命预测精度分别较同类型的Miner法则、修正Miner法则、均方根法提高了99．1％，24．6％和50．0％。     

一类齐次线性方程组有非零解的充分条件的一种新证法

利用行列式基本理论,给出了由n个方程n个未知量组成的齐次线性方程组有非零解的充分条件的一种新证法.     

Improved algorithm of light scattering by a coated sphere

An efficient numerical algorithm for computing the light scattering by a coated sphere is proposed. The calculation of relevant functions by different recurrence algorithms is discussed. The new algorithm avoids the numerical difficulties, which give rise to significant errors encountered in practice by prior methods. Exemplifying results such as extinction efficiency, scattering efficiency, light scattering intensity as well as calculation speed are provided. The results show that this algorithm is efficient, fast, numerically stable and accurate.     

CONSTRUCTION OF UNITONS VIA PURELY ALGEBRAIC ALGORITHM

1.IntrodnctionHarmonicmapsfromR2(oritssimplyconnectedregion)toU(N)areconsideredextensively.TheconceptionofunitonsareintroducedbyK.Uhlenbeck[7].Thereareaseriesofpapers[2,8,9]devotedtotheconstructionofunitons.Inourpaper[4]theDarbouxtransformationhasbee...     

PARALLEL STABILIZATION

1.IntroductionLetusconsideranevolutionsystemwhosestateisgivenbythesolutionofaPartialDifferentialEquation(PDE)whichiswritten(formallyforthetimebeing)asIn(1.1),(1.2),whichmaybealinearoranonlinearPDE,ydenotesthestate,andvdenotesthecontrol.TheoperatorA,w...     

Auxiliary principle and three-step iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities

An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle technique. The convergence of three-step iterative sequences generated by the algorithm is also proved.     

刚性弹侵彻不同靶材的侵彻深度比较

根据刚性弹侵彻动力学的量纲一侵彻深度公式,通过比较刚性弹侵彻不同靶材的侵彻深度,提出不同靶材之间可以互相替换进行实验研究的思想。讨论了相同弹丸在相同撞击速度下对不同靶材的侵彻深度的比例关系。结合现有相关实验中的数据来验证和分析对于不同靶材量纲一侵彻深度公式的实用范围以及不同靶材之间互相替换的可行性,得出了具有工程实用意义的结论。