唯一定义的

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

Support the use of custom document icon the only one to support the use of 32 * 32,256 color software

支持使用自定义文件图标（唯一一款支持使用32*32，256色的软件

PageRank was defined as the stationary distribution of some aperiodic irreducible Markov chain by Google's founders Sergey Brin and Lawrence Page.

Google创始人Sergey Brin和Lawrence Page把万维网搜索算法PageRank定义成某个非周期不可约马氏链的唯一平稳分布。

Iterated function system is an effective method to define and describe fractals. An IFS determines only one fractal which is called attractor.

迭代函数系统是定义和描绘分形的有效方法，每个 IFS确定了唯一一个称为吸引子的分形。

Based on definitions and propositions and examples,it is first proposed the method of undetermined coefficients for normal quadratic curve equations.

0引言由二次曲线的射影定义可知，平面上任五个不同的点，其中没有四点共线，则过此五点唯一确定一条二次曲线。

Angular spectral is spectral value map formed by estimating semblable coefficients of fast and slow shear wave or the variation of amplitude ratio of fast and slow shear wave with times and angles at a specified space point based on semblable theory of fast and slow shear wave, the angle value of this space point at a given time can be got by picking the maximum of angular spectral; the study reveals that fast and slow shear wave with different polarization direction should be separated using different rotation formula, eight formulas of separating fast and slow shear wave using clockwise rotation and counterclockwise rotation have been derived, and gained energy assignment rule and phase coincidence rule, in real data estimation, the rotation formula used for separating fast and slow shear wave can be uniquely determined on the two discriminating rules. On the basis of semblable theory of fast and slow shear wave, the delay time corresponding to the maximum of semblable coefficients at a specified point in a given time window is the delay time of fast and slow shear wave, delay time section of fast and slow shear wave can be got by moving space point and smoothing time window. The vertical variation values of delay time of fast and slow shear wave reflect the effect degree of vertical fractured reservoir on fast and slow shear wave which is defined as anisotropic coefficient, and section map of anisotropic coefficient can be obtained.

角度谱就是利用快慢横波的相似性原理，在某一空间点求出快慢横波的相似系数或快慢横波的振幅比值随着时间和角度的变化而形成的谱值图，拾取其极大值就得到该空间点某一时间的角度值；在研究中发现分离不同偏振方向的快慢横波应该采用不同的旋转公式，推导出了利用顺时针旋转和逆时针旋转分离快慢横波的八个公式，并给出了能量分配准则和相位一致性准则两个判别准则，在实际计算中利用这两个判别准则能唯一地确定分离快慢横波的旋转公式；根据快慢横波的相似性原理，在某一给定点和给定时窗内最大相似系数对应的延迟时间就是快慢横波的延迟时间，随着空间点的移动和时窗的滑动就可以得到快慢横波延迟时间的剖面图；快慢横波延迟时间与慢横波传播时间的比值定义为裂缝密度，并求出了裂缝密度剖面图；快慢横波延迟时间纵向上的变化值的大小反映了纵向上裂隙层对快慢横波影响的大小，定义为各向异性系数，并求出了各向异性系数的剖面图。

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。

If it is a definitional truth that water = the actual unique waterish stuff around here, then we should have to conclude that there is no such thing as water, and set about to construct a new definition.

如果这是定义上为真的，水＝这里的现实的这些唯一水性材料，那么，我们应该不得不结论说，没有水这样的东西，并着手重新定义。

SAML defines mechanisms to exchange authentication, authorization and nonrepudiation information, allowing single signon capabilities for Web services.

它定义了一种机制来交换证书、授权和认证信息，为WEB服务商提供唯一的签名证书。

Between 3.0 K and the triple point of neon (24.5561 K) T90 is defined by means of a helium gas thermometer calibrated at three experimentally realizable temperatures having assigned numerical values and using specified interpolation procedures.

ITS-90划分了几个主要温区和附属温区，并对每个温区的温度T90 给出了详细的规定。这些温区之间有重叠交叉部分，当重叠区域出现T90定义不唯一的情况时，两种定义同等适用。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。