查询词典 mathematical notation

The background of its appearance is relatively simple, which is that merely from function graph studies, the importance of concavity can be drawn, but it is significant to be noted that the mathematical thought of the combination of figure and chart shown here is very important.

它提出的背景非常浅近，仅仅从函数图像的研究中就可获得凹凸性提出的必要性，但是此处所体现的数形结合的数学思想却是非常重要的。

In this mathematical model, we made the comprehensive consideration of the condensability of the liquid, the Westphal＇s effect, the continuous flow condition and the dynamic property of the ball valve.

应用数值方法建立了自动球阀运动规律的计算机仿真模型，通过数值模拟，得到各个参数对球阀运动动力特性影响的基本规律。

The design mainly works on many factors which effecting the volume efficiency of fracturing pump. These factors are working conditions of the pump,imbibitional valve,expulsive valve,clearance volume,sealing property, condensability of influent, liquid leakage and elastic defletion of pump cylinder. Based on these facors, we should induce the efficiency expression, famulate differential eguation and emulational mathematical model of fracturing pump.

本设计主要针对影响压裂泵容积效率的因素如：泵的工作情况、吸液阀结构参数、余隙容积、密封性能、液体的可压缩性、液体泄漏、泵缸的弹性形变等方面进行分析，在此基础上导出效率的表达式，建立微分方程，并建立压裂泵效率仿真的数学模型。

In mathematical that is to say,after obtaining the sampleχ,we may obtain the conditional distribution Hwhen X=χ.

在传统的Bayes估计中，参数λ的先验分布都是已知的，但有时候我们不一定能得到λ的精确的先验分布，于是就产生了新的Bayes估计方法，比如E Bayes估计和多层Bayes估计。

From a practicable point of view, models in MBMS were further classified into three types: Mathematical Equation Model, Conditional Model, and Image Processing Model.

本文着重研究基于地理信息系统的模型库管理系统，试图通过建立模型库管理系统的方法弥补地理信息系统在模型分析方面的不足。

Digital PLL's linear mathematical model is established, and it's stability is analyzed, then the DPLL's stability conditional expression is given. Whereas the phase lock in UPS is very particular, this dissertation emphasizes on the dynamic performance with disturbance of the utility source's frequency noise and the reference phase.

基于UPS 锁相的特殊性，着重分析了市电频率扰动以及相位给定突变时的系统动态特性，仿真分析表明在同一个数字锁相环中，锁相误差抖动小与输出频率变化不能过快，二者不可兼得。

This paper focuses on the node stability of eco\|industrial symbiosis system from the view of environmental economics, and set up the Node Symbiotic Economics Model on the enterprises of eco\|industrial symbiosis system by analyzing relationship on the pollutants recycle of the inter\|node interconnected enterprises. Through the observation of the supply change in the enterprise′s recycling contaminants at the node based on the mathematical solutions to the model, the effects of outside disturbances on the balance of supply and demand has been studied. If the elasticity of the product price is equal to or less than 1, the node can achieve conditional stability and if the elasticity of the product price is more than 1, the node will fluctuate periodically around a stable point, and even chaos can appear.

从环境经济学角度出发，以生态产业共生系统的节点稳定性为研究内容，通过节点间相互关联的企业之间的污染物循环利用的关系分析，建立生态产业共生系统中企业之间的节点间污染物循环利用共生经济学模型，在市场经济条件下，基于模型的数学解，通过观察节点处对污染物进行循环利用企业受市场经济影响导致的产品供给变化，研究系统外界市场经济扰动对节点污染物循环利用的供需平衡的影响。

By means of integralequation methods creatively along with other modern mathematical theories,this paperfocuses on finding solvability conditions and conditional well-posedness(especiallyconditional stability),constructing stabilized algorithms,and carrying throughnumerical simulation.

本文创造性地应用积分方程方法，借助现代数学手段，着重研究这些问题的可解性条件、条件适定性，构造稳定化算法，并进行数值模拟。

Analyzing the honing principle of spiral bevel gears based on crossing-axis transmission, the mathematical model of the relative sliding speed of the contact point between honing wheel and gear is achieved. It is determined that the pitch cone of honing wheel depends on the number of teeth in the honing wheel and the angle between the common normal of pitch cones and the plane parallel to both gear and honing wheel axes.

分析了基于交错轴传动的珩齿原理，导出珩磨轮与被珩齿轮在啮合点处的相对滑动速度的数学模型，根据该数学模型可以判定珩磨轮的节锥面是由珩磨轮齿数、公法线和与珩磨轮轴线平行的平面夹角所确定。

The the probabilistic forecasting method of the error between the sample mean and expectation value of the random variable utilizing the central limit theory was researched, then the mathematical formula for the relation between sampling size and variance coefficient of loss of load probability was analyzed. Furthermore, the formulas for the relation between confidence intervals of variance coefficient and sampling size are deduced.

基于中心极限定理深入研究随机变量的样本均值与期望值之间误差的概率预测方法，在此基础上分析失负荷概率(loss of load probability，LOLP)指标的方差系数和样本容量之间的关系表达式，导出方差系数给定时的样本容量置信区间公式及样本容量给定时的方差系数置信区间公式。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。