查询词典 variation of a function

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

It is found that:(1) the variation of dFM may lead to two different features for the IEC,one is the oscillatory behavior of IEC with the spacer thickness,the other is the exponential behavior in the most spacer thickness.(2)As a oscillatory function of dFM ,the IEC exhibits multiple periods and a negative non-oscillatory term.(3)The Fermi energy of the conduction electrons has a little variation as the magnetization of the two FMs changes from parallel to antiparallel alignment,furthermore,this variation is correlated with the IEC to some extent.

结果发现：（1）dFM的变化会导致层间交换耦合出现两种不同的特征，一种是随着中间层厚度的增加，IEC有振荡行为；另一种是其指数衰减行为；（2）作为dFM的振荡函数，IEC表现出多个周期和一个负的非振荡项；（3）传导电子的费密能会随着两铁磁体的磁化排列变化而稍有变化，进一步地，这种变化与IEC有着某种程度的关联。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

Because of the interaction between bonds, the variation of wave function of a shallow level is small, but the correction on the ionization energy may be appreciable.

对浅能级，由于键间相互作用，电离能可以有相对较大的修正，但波函数却变化很小，这与电子自旋共振超精细结构的实验结果一致。

The research results show as follows. As plastic deformation increases, the Young's modulus of material continuously changes. This variation law is able to be described using a piecewise linear function .Hardening model and whether the variation is considered or not make great effet on springback prediction. It is proved that the springback prediction result which adopts the elastic-plastic constitutive model based on INLK hardening model and the variation of Young's modulus is considered, is more close to experimental result. After the sheet metal undergoes multiple bending, the corner radius and bending height also affect springback greatly.But the effect trend is different. At the same time, the reliability of springback research using numerical simulation is proved.

研究结果表明：材料弹性模量随塑性变形的变化是不断变化的，该变化规律可用分段线性函数进行描述；强化模型及考虑弹性模量变化与否对回弹预测有很大的影响，基于INLK强化模型和考虑弹性模量变化的弹塑性本构模型对回弹的预测结果与试验最接近；多次弯曲中圆角半径与弯曲高度对板料变形后的回弹有较大影响，但影响趋势不同；证明了数值模拟方法对回弹研究的可靠性。

In order to investigate the effect of IFN-γon the expression of TNF-αin the hypothala- mus-pituitary-ovary axisof RU486-induced aborted SD rats, RU486 was used to establish the abortion model, then the aborted rats were administrated with different doses of IFN-γintraperitoneal injection, the method of immunohistochemical ultrasensitive SP was us- ed to study the variation of positive TNF-αcells in hypothalamus, pituitary, ovary and uterus in normal pregnant group A, aborted model group B and three different doses of IFN-γgroup C,D,E. The main goal of this research was to study whether the low dose of IFN-γcould have a protective function to pregnancy and the mechanism of its function so as to provide morph- ologic basis for the scientific using of IFN-γin the process of animal abortion control.

为探讨IFN-γ对流产大鼠下丘脑-垂体-卵巢轴(hypothalamus-pituitary- ovary-axis，HPOA )TNF-α表达的影响，本试验用米非司酮(RU486)建立SD大鼠流产模型，通过腹腔注射不同剂量IFN-γ，采用超敏感免疫组织化学SP法(链霉素抗生物素—过氧化物酶法)，观察了孕13天(d13)SD大鼠正常妊娠A组、流产模型B组、不同剂量IFN-γC、D、E组下丘脑、垂体、卵巢、子宫TNF-α的表达变化，探讨低剂量IFN-γ对妊娠是否有保护作用及其作用机制，期望能为在妊娠过程中如何科学应用IFN-γ防止动物流产提供形态学依据。

The third winding is coupled between the primary winding and a capacitor to produce a current that controls a variation of a ratio between the focus voltage and the anode voltage as a function of variation in a beam current in the cathode ray tube.

在初级绕组和电容器之间连接第三绕组，从而产生一个电流，该电流用于对作为阴极射线管中电子束电流的变化的函数的聚焦电压与阳极电压之间的比率的变化进行控制。

This large variation is a function of the structure of production in developed countries and the share of their labor market that is in direct competition with low-skilled workers in developing countries.

在发达国家，这种巨大差异是生产结构在起作用，也反映了与发展中国家低技术工人直接竞争的劳动力市场份额。

The part of calculus that deals with the variation of a function with respect to changes in the independent variable by means of the concepts of derivative and differential.

微积分学中有关用导数与微分的观念讨论函数随独立变量改变的部分。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了