查询词典 total differential

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

To get more factors associated with erythropoiesis in K562 cells, modified differential display reverse transcription polymerase chain reaction method was applied to identify genes with differential expression in uninduced and hemin-induced K562 cells. Remarkable differential ESTs were firstly selected for cloning, sequencing and analyzed with bioinformatics methods.

为了进一步获得分化过程中相关基因表达的信息，我们应用改良的差异显示RT-PCR技术，分析K562细胞在Hemin诱导的红系分化前后的基因表达变化，获得红系分化相关基因的线索，进而确定在红系分化中起重要作用的基因，并研究它们的作用机制。

The principles and the types of limited slip differentials are discussed. Compared with all kinds of limited slip differential, the preload spring friction disc limited slip differential which is used as the axle bridge differential in a certain SUV is selected at last.

在总结相关资料的基础上，对防滑差速器的原理和分类情况作了分析，通过分析和比较各种防滑差速器的优缺点，最终选择了一种预压弹簧摩擦片式防滑差速器作为某SUV车型的后桥差速器。

The vertical axis of the switch has a surface of positive first differential, comprised of splines drawn between points if varying distance from a datum plane, and has along the horizontal axis a surface of a positive first differential and negative second differential, comprised of a combination of splines drawn between points of varying distance from the datum plane.

开关的竖直轴线的表面具有正的一阶微分，其由多个在离基准平面不同距离的点之间绘制的样条构成，并且沿水平轴线具有一个表面，该表面具有正的一阶微分和负的二阶微分，其由一组在离基准平面不同距离的点之间绘制的样条构成。

The heat due to losses of a process can be calculated according to total losses, differential equation of the motor, initial conditions and rotational angle. Since a period has several processes, the total heat due to losses of a period can be get by summing the losses heat of every process and the average losses can be calculated by dividing the total heat of a period with the cycle time.

根据电机运行总损耗和电机运行微分方程，结合初始条件和电机转角，获得了电机运行过程的损耗热，将一个周期内各运行过程的损耗热相加，可以得到一个周期内的总损耗热，从而一个周期内的平均损耗可求，以此为依据，和电机的额定损耗相比较，可以判断该电机在该工作制下的合理性。

The results show that the angular distribution of the total differential cross section at zero degree increases and the position of oscillation minimum of the same order gradually shift towards small scattering angle along with the increase of the incident isotope He atom mass at identical collision energy. And crossing angle between the elastic and total inelastic DCS gradually decreases and the total inelastic DCS gradually increases.

结果表明：在相同碰撞能量时，随着同位素氦原子质量的增加，总微分截面在0°时的角分布逐渐增大，同一级衍射振荡极小值位置逐渐向小散射角方向移动；弹性与总非弹性截面交界角逐渐减小，总非弹性截面逐渐增加。

For weak nonlinear distortion, the expressions of total harmonic distortion, the second order intermodulation distortion(IM2 ), the third order intermodulation distortion(IM 3) and intercept point(IP 3) are deduced. With the aid of software Multisim, we simulate transistor common emitter amplifier, transistor common emitter amplifier with resistor in emitter, differential amplifier and differential amplifier with resistor between emitters. The simulational results and theoretical analyses are almost the same.

针对弱非线性失真，推导了总谐波人、二阶互调失真( IM2 )、三阶互调失真( IM3)和截点( IP3)的表达式，借助于 Multisim软件，对晶体管共发放大器、发射极带反馈电阻的失发放大器、差分放大器和发射极间带反馈电阻的差分放大器进行了仿真，并与理论结果作了比较，结果令人满意。

An optical system with refraction and total internal reflection was proposed according to the luminous characteristic of LED and the law of energy conservation. The ordinary differential equations satisfying the spots on the contour curve of TIR refractive and reflective planes were established. The coordinates of points on profile curves were obtained by solving these ordinary differential equations using Runge-Kutta method. The profile curves were acquired by curve fitting of the coordinate spots with software UG, and then TIR model of the projector and data of the surface shape suitable for NC manufacture were obtained.

根据LED的发光特性以及能量守恒定律选择采用折射全反射光学系统，通过建立TIR折射面及全反射面轮廓曲线上的点所满足的常微分方程，利用RungeKutta求解常微分方程得到轮廓曲线上点的坐标，再在UG中对坐标点进行曲线拟合得到轮廓曲线，进而得到TIR模型及适合数控加工的面形数据。

The calculated results show that the total differential cross section is the general rule and characteristics of collision between an atom and a diatomic molecule, the phenomenon of the scattering oscillation at large angles is more evident along with increase of the incident energy for low-lying rotational excitation state-to-state differential cross sections in He-BH collision system.

计算结果表明：He-BH碰撞体系的总微分截面具有原子与双原子分子散射的一般规律和特征；随着入射能量的增加，低转动激发态-态微分截面在大角区的散射振荡现象会更加明显。

These transfer equations were used to reestablish the entropy transfer equation for the electromagnetic fluid,and further to reconstitute the differential component equations for different forms of exergy and the differential equation for total exergy in the fluid by the definitions of thermal,pressure,chemical,kinetic,potential and electromagnetic forms of exergy.

通过定义热火用、压火用、化学火用、动能火用、势能火用、电磁火用，重新构建了不同形式火用传递的分量方程及其总火用传递方程。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。