查询词典 arc hyperbolic function

Analyses of loci in the π plane and meridian line s show that the parabolic and hyperbolic type failure envelopes have no influences on the shape of the.

对改进式所作的π平面极限线和子午线分析表明，采用抛物线和双曲线形强度包络线基本上不会改变原准则在π平面上的极限线形状，但子午线由直线改为曲线，极限面在主应力空间内分别为抛物面和双曲面，其锥顶距坐标原点也比采用线性强度包络线的要小。

The paper consists of four chapters:In chaper 1, we introduce the background and signficance, research and actuality on oscillation of functional partial differential equations; we present research subject in this paper;In chaper 2, we discuss oscillatory property of systems of parabolic differential equations with delays and obtain necessary and sufficient conditions for the oscillation of their solutions; we show the difference between oscillatory property of systems of parabolic differential equations with delays and that of systems of partial differential equtions without delays; we explain the main results with examples;In chapter 3, we discuss oscillatory property of systems of functional parabolic differential equations of neutral type; we obtain some sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples;In chapter 4, we discuss oscillatory property of systems of functional hyperbolic differential equations of neutral type; we obtain sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples.

全文共分四章：第一章简要介绍了泛函偏微分方程的振动的背景和意义、对其研究的简单历史和现状，给出了本文的主要研究对象；第二章讨论了一类时滞抛物方程组解的振动性质，获得了判断其所有解振动的一个易于验证的充要条件；指出了这类具有时滞偏差变元的抛物方程组解的振动性质和不具有时滞偏差变元的抛物方程组解的振动性质的差异；并举例对主要结果进行阐明；第三章讨论了一类中立型抛物方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明；第四章讨论了一类中立型双曲方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明。

Next, we study the case when the approximation spaces are the anisotropic linear triangular element and a new conforming triangular Hermite-type one, by taking advantage of a series of new approaches, the convergence analysis of hyperbolic type integro-differential equations is provided, the error estimates are also obtained .

其次，把逼近空间分别取成具有各向异性特征的协调线性三角形元和一个新的二次Hermite型三角形元，针对双曲型积分方程，给出了相应的收敛性分析及其误差估计。

The process of shock mechanical energy flowing into the molecule of the en-ergetic material is expounded.According to the hyperbolic type thermal conduc-tion equation,the author modifies the mathematic model describing intramolecu-lar vibrational state pumping,which was presented by D.D.

论述了冲击机械能向含能材料分子内部流动的过程，结合双曲型的热传导方程修正了国外一些学者提出的分子内部振动态泵浦的数学模型，提出了一组与他们的方程不同的非线性偏微分方程，根据方程的试探解，用迭代方法，得到了数值解。

The results indicate that its dynamic stress-strain curve is hyperbolic type. The dynamic strain of LCES decreases with increasing confining pressure, cement content, curing ages and cyclic loading frequency when it is subjected to the same dynamic stress. At the same dynamic strain, the dynamic secant elastic modulus E_(sec of LCES increases and the damping ratio decreases with increasing confining pressure, cement content, curing ages and cyclic loading frequency. The curves ofσ_d～ε_d,E_～ε_d and D～ε_d with different EPS content intersect respectively, the trend of LCES deformation characteristic is inversely proportional to EPS content near the intersection. The value of dynamic strain at the intersection is about 0.5%~3.0%, the magnitude of which is related to the mixing proportions and confining pressure.

试验结果表明，LCES的动应力应变骨干曲线形态符合双曲线；在相同的动应力作用下，LCES产生的动应变随着固结压力、水泥掺量、试样养护龄期和振动频率的增大而减小；在动应变相同的情况下，随着固结压力、水泥掺量、试样养护龄期和振动频率的增大，LCES的动模量增大而阻尼比减小；随着加载次数的增大，LCES的动模量在开始阶段显著降低，然后趋于稳定，但当加载次数达到几百次时，动模量又有增大的趋势；不同EPS掺入比的LCES的动应力应变骨干曲线、动模量随应变变化曲线和阻尼比随应变变化曲线都发生了相交，交点前后EPS掺入比的大小对LCES动力变形特性的影响趋势是截然相反的，交点处的动应变值一般在0.5％～3.0％范围内变化，其大小与LCES的配比以及固结压力有关。

Kinetics of methanol dehydration to dimethyl ether on modified kaolin catalyst was studied in an integral reactor under normal pressure. It is deduced that the surface reaction of methanol molecule adsorbed on the active site of catalyst with methanol molecule in gas phase is the rate determining step. The hyperbolic type kinetic equation r=ksbMpM2/(1+bMpM+bpE) is obtained according to the theory of langmuir even adsorption and using the R-E mechanism.

采用积分反应器，考察了常压下在改性高岭土催化剂上甲醇脱水生成二甲醚的反应动力学，根据Langmuir均匀吸附理论，采用R-E机理，推断吸附的甲醇分子与气相主体中的甲醇分子发生的表面反应为速率控制步骤，得到双曲线型动力学方程为： r= ksbMpM2 /(1+bMpM+bpE)（r为反应速率， ks为反应速率常数， bM为甲醇的吸附平衡常数， b为二甲醚和水的吸附平衡常数之和， pM、 pE分别为甲醇、二甲醚的分压）。

However, this is hyperbolic.

不过，这是双曲线。

So what is this impossible hyperbolic structure?

因此，这个不可能的双曲结构到底什麼？

At last we propose a method of designing the H∞ controller for the hyperbolic model.

最后给出了基于此模型的稳定H∞控制器的设计方法。

A new hyperbolic model is proposed for the complex nonlinear system.

提出一种新型的双曲正切模型。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。