Newton公式和Vieta定理的等价性

利用待定系数法和数学归纳法证明Newton公式和Vieta定理的等价性.     

钢丝绳模型比较研究

将现有的各种钢丝绳计算模型进行比较研究，通过将数值结果与现有的实验数据进行比较可以看出，考虑绳芯变化并结合Love曲杆理论的JW和KC模型更适用于实际的钢丝绳结构。     

ChemInform Abstract: A Matrix Isolation and Computational Study of Molecular Palladium Fluorides: Does PdF6 Exist?

Binary palladium fluorides from PdF to PdF₆ are investigated by matrix‐isolation methods using thermal evaporation and laser ablation to generate Pd atoms for reaction with F₂‐doped Ar and Ne matrices as well as neat F₂ matrices.     

Double Michael addition of nitromethane to divinyl ketones: A remarkably positive effect of additive

An efficient double Michael addition of nitromethane to divinyl ketones was established in good to high yields (75–99%). A wide range of cyclohexanones were obtained with excellent diastereocontrol (up to >20:1 dr) and enantioinduction (91–99% ee) in a one-pot fashion. The involvement of basic additive significantly enhanced the reactivity of this cascade sequence.     

快速凝固结合严酷变形镁合金丝的组织与性能

采用快速凝固(RS)技术制备了厚度小于80μm,具有细微组织的Mg-6.0%Zn-1.0%Y-0.6%Ce-0.6%Zr合金薄带,薄带经往复挤压(RE)4道次后,制成Φ35 mm坯料,坯料被进一步正挤压(EX)成Φ2.08 mm~Φ1.55 mm表面光洁的细丝。用SEM和STEM分析组织,用In-stron 5500R和弯曲试验装置测试机械性能。细丝基体晶粒直径为~1μm。一类强化相颗粒的平均直径为0.25μm,另一类50 nm。变形态细丝抗拉强度和延伸率分别为335 MPa和13%;经过300℃保温10 min,然后水冷处理,抗拉强度和延伸率分别为403 MPa和12%。材料的临界弯曲直径为~6.28 mm,压应力是细丝弯曲断裂的控制因素。     

KKT系统结构条件数与条件数的比较

本文讨论Karush-Kuhn_Tucker(KKT)系统的条件数．首先利用单参数展开方法建立了Byers型不等式,然后讨论结构条件数与条件数的定性比较,结果表明,在极端情形,条件数与结构条件数之比可以任意大．