严格解

By using symmetry and boundary conditions the field and input impedance of finite wide-angle biconical antenna can be derived by modal analysis, which generally results in solving infinite linear equations.

模式匹配法利用有限长双锥天线的轴对称性求解天线电磁场边值问题，通常导致求解无限多个线性方程而得不到严格解。

In chapter two, under the assumption that the set of decision variables is convex and the objective functions are concave, it is shown that the set of noninferior solutions in valued space of the objective functions turns out to be a strictly decreasing, concave and no chinky block of surface, and it can be constructed recursively.

在第2章凸性假设下非劣解集的构造及其几何性质中，在假设决策变量集为凸集，目标函数向量是凹的情况下，证明了目标函数向量值空间中的非劣解集是一严格单调递减，无缝隙且凹的曲面块，并给出了m维目标函数向量值空间中非劣解集的一种递归构造方式。

Now by using Dai's exact solution formula and studying the asymptotical behavior controlcondition and using the series expression of the famous Riemann Zeta-function in number theory,after introducing and proving a new representation theory of inverse Laplace transformation wedirectly obtained Chen's solution formulae and their unique existence condition without usingLaplace transformation and〓 inverse formula.

本文从带消发散参数的严格解出发，通过研究渐近行为控制条件，利用数论中著名的Riemann-Zeta函数的级数表示，引入并证明一个逆Laplace变换的新的表示定理，直接导出了陈等发展的级数解，并得到了级数解的存在、唯一性条件。

It is also proved that the class of monotone increase functions is PAC solvable under a GA with reproduction and random mutation.

本文还证明了对于由复制和一个按顺序的变异构成的遗传算法，严格单增的函数是PAC可解的，单峰函数是非PAC可解的；对于由复制和随机变异构成的遗传算法，严格单增函数是PAC可解的。

Firstly, the normal stress distribution over the 3D slip surface is initially assumed, which is modified by a function with five parameters involved for the rigorous solution, or by a function with four parameters involved for the quasi-rigorous solution.

假定空间滑面上正应力初始分布，对于严格解，用含5个参数的修正函数对其修正；对于准严格解，则采用含4个参数的修正函数。

To be the heart of the dissertation, the fundamental coupling equations of multi-conductor system with both parallel and cross conductors existed are drawn by using secondary field theory. In addition to the strict solution, a kind of approximate solution, namely, equivalent transmission line equation is presented.

作为本论文的核心，重点研究了地下存在受扰多导体时地下场的分布情况，利用二次场的方法，得到了地下平行、交越多导体系统的基本耦合方程，除给出该方程的严格解外，还给出了一种近似解法——等效传输线方程解法。

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。

The exact solutions of the linearized Schwinger-Dyson equation of fermion self-energy are obtained and applied to the problem of chiral symmetry breaking in the theory of four-fermion and gauge interactions.

零温下线性化费密子自能的许温格-戴森方程的严格解被求出并用于四费密子和规范相互作用理论中的手征对称破坏问题。

In this paper, numerical calculations of magnetically induced twist effect in planar nematic liquid crystal are presented. The transmission of polarized light passing through magnetically induced twist distribution in planar nematic liquid crystal is calculated with "4-4" matrix algorithm. On the experimental side, the optical phase retardation method is used to detect the magnetically induced twist effect in planar nematic liquid crystal 5CB(4′-n-penty1-4-cyanobiphenyl) at 27℃.

对平行排列5CB(4′-n-penty1-4-cyanobinpheny1)丝状液晶在静磁场中扭曲变形做了严格的数值解，给出了严格分布情况；利用光学&4*4&矩阵算法，计算了线偏振光在严格分布下的传输情况；在实验方面，应用光学相位延迟法对平行排列5CB丝状液晶在静磁场中(温度27℃)线偏振光的通过情况进行了测量。

According to density of particle numbers and energy of perfect quantum gas ,by strict theoretical calculation ,the energy of non relativity and relativity about perfect quantum gas under high temperature and low density is given.

根据理想量子气体的粒子数和能量的密度，通过严格的理论推算，给出理想量子气体在高温低密度条件下非相对论和极端相对论能量；再由巨正则系综中能量和压强相对涨落的公式，采用合理的近似方法，给出巨正则系综能量和压强相对涨落的严格解，并将其与正则系综对比，完备地展示两种系综在强度量的涨落方面热力学的等价性和个性差

Means the parent directory, so this command means to execute "toolchain.sh," which is in the current directory.

代表父目录，所以这个命令就是执行当前目录下的"toolchain.sh"。

Yes,In fact,I'm on our city ream.

是的。事实上我是我们市队的。