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In this paper, we will introduce the weighted modulus of smoothness and the weighted K-functional to discuss the direct and the converse theorems, the local saturation results on the simultaneous approximation on an infinite interval with Jacobi-weight by the integral operator, the lin...

本文利用带权光滑模与带权K--泛函讨论定义在无穷区间上的积分型算子Gamma算子线性组合对空间L_∞(0，∞)中函数的带Jacobi权同时逼近的正逆定理以及局部饱和结果，还讨论了Gamma算子的强逆不等式。

While in quantum mechanics the state of a system is described by a wave function, which is a non-zero square modulus integrable complex value function defined on the configuration space of the system.

整个世界的运动是决定论的。而在量子力学中每个体系的状态由一个非零的定义在位形空间上模平方可积的复值函数所描写。

The expression of instantaneous modulus was derived by using the integral constitutive relation and stress wave theory.

在工程应用中，这些模型需要用到弹性模量或剪切模量等粘弹性材料的固有参数。

We study its integral representation , estimate of coefficients,maximum modulus estimates.

本文引入了某族定义在单位圆内的解析函数，研究了它们的积分表示，系数估计，最大模估计及其子族的Fekete－Szego不等式，获得了一些较有关文献更一般的结果。

Applying integral intermediate value theorem, new effective elasticity modulus expressions were presented, which creep aging coefficient can be calculated by the creep coefficient of intermediate time of incremental time segment. Creep and shrinkage strain were treated as a kind of compulsive strain. Compulsive strain methods were used for the analysis of creep effect and shrinkage effect about concrete curved box-girder bridge.

根据积分中值定理，推导了增量时间段中点时刻徐变系数等效弹性模量的计算式；将徐变和收缩应变视为强迫应变，推导了强迫应变法计算混凝土梁桥的徐变、收缩效应的分析方法，写出了混凝土桥梁的徐变、收缩时效分析有限元列式，并将此方法应用到曲线箱梁桥的时效分析中。

Because the workpiece is in dynamic balance, the resultant moment acting on it should be zero. Introducing the moment from lapping tool and press head a moving differential equation is built. In this equation only workpiece rotating speed is unknown. It means that workpiece rotating speed can be got by this equation. Since there is a transcendental function in integral function of the equation an analytic result can not be got, only digital result can be got by a computer. Thus a change rule of workpiece rotating speed with lapping parameters is known, e.g. the radius of press disc ball socket, radius of press head ball, the distance between the workpiece rotating axis and lapping tool rotating axis, workpiece radius, modulus of elasticity of the press head and press disc, friction coefficients between the lapping tool and workpiece, and between the head and disc, pressure between the lapping tool and workpiece and pressure between the press head and press disc.

因工件处于动态平衡状态，其上所受到的来自于磨具和压头的力矩应相等，将二力矩表达式联立，建立工件运动微分方程，该方程中只有工件的旋转角速度是未知量，因此可以求出工件旋转角速度，但该方程积分式中含有超越函数，得不出解析解，只能通过计算机求出数值解，得出工件旋转角速度随各研磨参数的变化规律，如压盖球座半径、压头的球头半径、工件回转中心相对磨具回转中心的偏心距、工件半径、压头和压盖材料的弹性模量、磨具与工件间的摩擦系数、压头压盖间的摩擦系数、磨具与工件间的压强、压头压盖间的压力等。

Based on the fracture mechanics approach, the finite element method analyzed a varity of the stress intensity factor at the pavement crack tip when setting fiberglass-polyester paving mat, and the effect of the stress intensity factor in symmetric load and asymmetric load was studied when the asphalt layer modulus, thickness of semi-rigid base, the the depth of the crack, touch condition, interlay modular, etc., changed.

基于断裂力学的方法，采用ANASYS软件模拟沥青路面典型结构，分析了设置聚酯玻纤布夹层后，在正载和偏载作用下，裂缝尖端应力强度因子的变化，研究了沥青层模量、基层厚度及裂缝扩展深度等结构参量及层间接触条件和夹层模量对应力强度因子的影响规律分析结果表明，设置聚酯玻纤布夹层，可以有效防治荷载型反射裂缝的扩展。

Applying integral intermediate value theorem, new effective elasticity modulus expressions were presented, which creep aging coefficient can be calculated by the creep coefficient of intermediate time of incremental time segment.

根据积分中值定理，推导了增量时间段中点时刻徐变系数等效弹性模量的计算式；将徐变和收缩应变视为强迫应变，推导了强迫应变法计算混凝土梁桥的徐变、收缩效应的分析方法，写出了混凝土桥梁的徐变、收缩时效分析有限元列式，并将此方法应用到曲线箱梁桥的时效分析中。5。

Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector ,and with which the damaged element is easily identi.

为了找到一个对小损伤较敏感的参数，在结构自由振动微分方程基础上，结合损伤结构的测试数据(用有限元模型的计算结果来模拟)，得到残余向量，利用广义逆和矩阵投影定理，导出了一个具有很好识别效果的参数：残余向量投影范数。

We thoroughly discuss the physical meaning, the relationship between AVO attributes, background trends, characters of AVO cross-plotting and the implications in parameters inversion for the new formula represented by Lame contrast and shear modulus, and present an elastic parameter AVO analysis method.

因此，利用这两个参量的AVO背景趋势及交会图特征不仅可以提取纵、横波速比和泊松比，而且还可以放大弱AVO异常。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。