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关于指数平均与对数平均的一个推广不等式
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作者 赵玉环 《中国民航学院学报》 1999年第3期57-59,共3页
设a,b为两个不等的正数,则其几何平均√ab和算术平均(a+b)/2之间可以插入两数的对数平均和指数平均以及一般线幂平均等而民的不等式,证明了其间可以插入指数函数的幂平均,从而给出介于min(a,b)和max(a,b... 设a,b为两个不等的正数,则其几何平均√ab和算术平均(a+b)/2之间可以插入两数的对数平均和指数平均以及一般线幂平均等而民的不等式,证明了其间可以插入指数函数的幂平均,从而给出介于min(a,b)和max(a,b)之间的函数的幂平均不等式。 展开更多
关键词 对数平均 平均 线平均 指幂平均 不等式
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logx/(x-1)的界和平均值
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作者 张灵 王石安 《广州师院学报(自然科学版)》 1996年第1期34-38,共5页
通过研究函数logx/(x-1)(x>0,x≠1)的界,本文改进了Karamata不等式。
关键词 平均 Karamata不等式 Stolarsky不等式 函数 平均 王中烈-王兴华不等式
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Depinning Dynamics of Fluid Monolayer on a Quenched Substrate
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作者 曹义刚 刘嘉 付根义 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第11期893-896,共4页
Langevin simulations are preformed on the depinning dynamics of fluid monolayer on a quenched substrate. With increase in the strength of the substrate, we find for the first time a crossover from elastic crystal to s... Langevin simulations are preformed on the depinning dynamics of fluid monolayer on a quenched substrate. With increase in the strength of the substrate, we find for the first time a crossover from elastic crystal to smectic flows as well as a crossover from smectic to plastic flows above the depinning. A power-law scaling relationship can be derived between the drift velocity and the driving force for both the elastic crystal and smectic flows, but fails to be obtained for the plastic flow. The power-law exponents are found to be no larger than 1 for the elastic crystal flow and larger than 1 for the smeetic flow. The critical driving force and the averaged intensity of Bragg peaks remain invariant basically in the regime of smectic flow. A sudden increase in the critical driving force is observed within the crossover from the smeetic to plastic flows, and the averaged intensity of Bragg peaks shows sudden decreases within the crossovers both from the elastic crystal to smectic flows and from the smectic to plastic flows. The results are helpful for understanding the slip dynamics of fluids on a molecular level. 展开更多
关键词 FLUID elastic crystal flow smectic flow plastic flow
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