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Therefore, it's natural to estimate those values of operators such as 〓, log mf and so on in order to investigate the weighted inequalities for the minimal operator We discuss them under two conditions respectively: In one-weight case, we establish the relative weighted inequalities under the condition of A〓-weight and A〓-weight respectively, and the equivalent condition has been found between the strong -type weighted inequality and the property of W〓-weight; while in the case of two-weight condition, we characterize the equivalent relations between the weak type weighted inequality and the property of W〓-weight, the strong -type weighted inequality and the property of W〓-weight.

我们分两种情况分别加以讨论:单权情况下,我们分别刻画了A∞权和A〓权条件下关于〓,log mf等的强型加权不等式,并证明了关于鞅的极小算子的强型加权不等式与对应的W〓权性质之间的某些等价关系;在双权情况下,我们刻画了关于极小算子的弱型加权不等式与W〓权以及强型加权不等式与W〓权之间的等价关系。

We also developed several experiential formula based on structural unit model for high-index surfaces, which can give an estimate of the energies of the high-index surfaces if the value of surface energy of (001),(110) or (111) are known.

作为各条曲线表面结构单元的两个低密勒指数面[001]晶带的(100)面和(110)面,[-110]晶带的(110)面和(111)面或(112)面其表面能值分别是对应曲线上的一个极小值点。

Methods:The height,weight,waist circumference,hip circumference,mid-upper arm circumference,triceps skinfold thickness,subscapular skinfold thickness in 369 young people with average of (27.1±9.4)years were measured. In addition,BCA-2A Body Analysis Instrument was applied to measure body compositions. Five indices to estimate and compare fat rate for men and women were used, including the percent of body fat, body mass index,WC, ideal body weight and TSF+SSF.

对369名青年健康人进行身高、体重、腰围、臀围、上臂围、三头肌皮褶厚度、肩胛下皮褶厚度的测量及采用BCA-2A人体成份分析仪测定人体成份,选择五种不同的指标计算男性、女性肥胖率,包括体脂百分比、BMI、腰围、理想体重和,比较各种方法对男女肥胖率检出率的差异。

In the part of the vibration experiments and analysis, firstly, used the simple-beam theory to estimate the natural frequency of the beam of the 20-headed computerized embroidery machine.secondly, measured the beam of its low rank natural frequency, the beams horizontal vibrating acceleration amplitude, speed amplitude and the displacement amplitude in different rev and different turn parts. Found that it is sympathetic vibration, which bring on the thread-broken rate rise rapidly. On this base, established the finite element analysis modle of the vibrating beam, and took on hamonic analysis and modal analysis with the mold. The rusult of test and analysis offer the basis for farther improvement of the computerized embroidery machine.

振动分析部分,首先由简单梁理论出发,对横梁的固有频率进行估算;接着通过测振仪器对20头电脑刺绣机横梁进行了试验模态分析和不同工况振动测试;获得了横梁前四阶固有频率和模态振型,以及在不同工作转速、不同回转部件下横梁振动的加速度幅值、速度幅值和位移幅值;找到了横梁振动加剧的原因——共振;在此基础上建立了符合实际情况的横梁有限元模型,对模型进行了模态和谐响应计算,证实了模型的可靠性,为下一步的改进设计提供了依据。

As one of the achievements of this study, the information management system of vegetation quantity of Syringa oblata for Harbin can help to quickly and accurately estimate the total amount of vegetation quantity of Syringa oblata in Harbin or a certain area.

作为本项研究的成果之一,哈尔滨市紫丁香"绿量"信息管理系统在具体测算哈尔滨市或某一地区的紫丁香"绿量"的总量上具有快捷准确的特点。

A table of critical values is presented for goodness of fit test, which is valid when P-Ⅲ distribution is assumed and PWM employed to estimate it's parameters.

即以拟优检验的理论来选择线型,以设计值X〓的无偏及有效性为准则去评价参数估计方法的优劣。

To implement this guidance law, the thesis purposed one new target state model and adaptive algorithm for radar homing missile attacking maneuvering target, which is based on the slowly changing of the tangential acceleration and the normal acceleration of the spiral maneuvering and snaking maneuvering in target trace frame coordinate system, and on that the most of them equipped with Strapdown Inertial Navigation System, to meet the demand of the advanced homing missile to target state, It can estimate target position, velocity and acceleration accurately by real-time processing.

为了实现该制导律,重点针对先进自寻的制导律对目标机动运动状态的需求和导弹系统大都具有捷联惯导系统的条件,基于目标螺旋机动和蛇形机动的切向加速度和法向加速度在目标轨迹活动标架上缓变的特点,本文提出了一种建立在目标轨迹活动标架上的运动状态方程和扩展观测方程的自适应估计算法。

By using the coefficient estimation of Taylor expansion, we obtain an estimate of the n-th derivatives for bounded analytic functions.

利用有界解析函数泰勒展开式的系数估计,得到了n阶导数估计的一般式,改进了己有的相关结果。

Taylor formula for the basic idea is to use polynomials to approximate a known function, and the coefficients of the polynomial by the given function to determine the derivative , and this approach gives an effective estimate.

泰勒公式的基本思想是用多项式来逼近一个已知函数,而这个多项式的系数由给定函数的各阶导数确定,并对这种逼近给出有效地估计。

By using the transfer matrix method of multibody system, the hard problem of computation of the vibration characteristics of LRMLRS coupled with rigid bodies and elastic bodies is solved which is very difficult to the ordinary dynamic methods, and the vibration characteristics of LRMLRS which is varied when the number of rockets in the launch device is varied, is obtained conveniently. By developing augmented eigenvectors of the LRMLRS and its orthogonality conditions, the nonorthogonality problem of the multibody system including rigid bodies and elastic bodies is solved and the exact analysis of the dynamics response of the LRMLRS including rigid bodies and elastic bodies is realized. By using the random integer programming method, the hard optimization problem which contains continuous variables, discrete variables and random variables at the same time is solved. This method provides a technology for optimum design with random variables and discrete variables. The dynamic optimum design is realized to decrease the number of rockets consumption in the LRMLRS test. The simulation system of dispersion of fire is established by using the maximum entropy method to estimate dispersion of fire.

通过应用多体系统传递矩阵法,解决了刚弹耦合远程多管火箭多体系统振动特性这一通常力学方法不便于解决的计算难题,方便地获得了远程多管火箭振动特性及其随发射架上火箭弹个数变化而变化的情况;通过构造增广特征矢量及其正交性条件,解决了刚弹耦合多体系统特征矢量不具有通常意义下的正交性的难题,实现了对刚弹耦合远程多管火箭动力响应的精确分析;应用随机整数规划法,解决了同时考虑连续、离散和随机变量等多种设计变量的优化设计难题,为含随机和离散变量的优化设计提供了手段,实现了减少远程多管火箭试验用弹量的动态优化设计;建立了应用最大熵法估计的密集度仿真系统,优化射序和射击间隔,实现了提高远程多管火箭射击密集度的动态优化。

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