查询词典 general conditions

The second section studies general Moore-Penrose inverse of morphism with general factorization, and gives some necessary and sufficient conditions for their existence and expression.

第二部分我们研究了具有广义分解的态射的广义Moore-Penrose逆，得到了他们存在的充分和必要条件以及他们的表达式。

Nanomaterials have many new characterizes which different from the normal materials for their small size, big surface area ratio and quanta dimension domino effect, for examples, the metal with good conductor will be turned into nonmetal when the size is reduced tonanometer levels; the resistance of originally nonconductor will be descended greatly when its size is reduced several nanometers or so, and loss the nonconductor property; the general solid is steady under certain conditions, while under nanometer conditions, the capabilities will be effected greatly by the granule sizes, the newness characteristics made nanomaterials have great appliance foreground on catalyze, optics, and industry produce and so on, therefore the nanomaterials have been the hotspot for materials science, chemistry science and so on.

纳米材料由于尺寸小、比表面积大和量子尺寸效应使它具有不同于常规固体材料的新的特征，如原来是良导体的金属，当尺寸减小到纳米量级时就变成非金属型；原来是绝缘体的物质，当尺寸减小到几纳米或几十纳米时电阻大大下降，失去了绝缘体特性；常规固体在一定条件下物理性能是稳定的，在纳米状态下，颗粒尺寸对性能产生强烈的影响等等，这些新奇的特点使得纳米材料在催化、光学、工业生产等各个方面都有着广阔的应用前景，因此，纳米材料目前已经成为材料科学、物理学及化学等学科的前沿热点。1990年7月在美国巴尔基摩召开了国际第一届纳米科学技术会议，正式把纳米材料科学作为材料科学的一个新的分支公布于世。

In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton's variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated.

本文提出了一种最普遍的应变协调、三阶壳体位移场，在此基础上建立了考虑三阶横向剪切变形和旋转惯性的复合材料层合壳体非线性理论，用Hamilton变分原理导出了复合材料层合各向异性任意壳体在正交曲线坐标系下的非线性静、动力控制微分方程和相应的边界条件，并将其蜕化为球壳形式。

Based on continuous conditions of general displacements and stresses at interfaces of adjacent layers and given boundary conditions, the reflection and transmission coefficients of elastic wave were obtained by virtue of partial wave method and propagator matrix method.

以多层纯弹性结构为研究对象，验证本文提出方法的正确性，然后对弹性波在多层电磁弹性结构中的反射与透射特性进行了计算和分析，并讨论入射角、入射波频率和电磁边界条件对这些系数的影响。

When there is a general average loss, the party on whom it falls is entitled, subject to the conditions imposed by maritime law, to a ratable contribution from the other parties interested, and such contribution is called a general average contribution

在危险发生时，为保护共同冒险中处于危险的财产，如果有意而合理地作出或产生任何特殊牺牲或费用，即构成共同海损行为。

Where there is a general average loss, the party on whom it falls is entitled, subject to the conditions imposed by the maritime law, to a ratable contribution from the other parties interested, and such contribution is call general average contribution.

如果发生共同海损损失，根据海商法规定的条件，遭受损失的一方有权从其他有关利益方得到比例分摊，这种分摊称为共同海损分摊。

3When there is a general average loss, the party on whom it falls is entitled, subject to the conditions imposed by maritime law, to a ratable contribution from the other parties interested, and such contribution is calle d a general average contribution.

3若发生共同海损损失，根据海商法规定的条件，遭受损失的一方有权从其他利益方得到比例分摊，这种分摊称为共同海损分摊。

Where there is a general average loss, the party on whom it falls is entitled, subject to the conditions imposed by Maritime Law, to a rateable contribution from the other parties interested and such contribution is called a general average contribution.

""在存在共同海损损失之场合，遭受损失的一方，有权根据海商法强行规定的条件，从其他受益各方获得比例分摊，此种分摊称为共同海损分摊。

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。

For general nonautonomous case, by means of the lower and upper averages of a function, under the conditions that the restriction on coefficients of the systems is relaxed further, some new results on the logistic equation are obtained, and sufficient conditions are given for permanence and global attractivity of the systems.

对于一般非自治情形，借助于函数的上、下平均值，在进一步放宽了对系数限制的情况下，我们得到logistic方程的一些新结果，给出了系统持久和全局吸引的充分条件。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。