数学公式

Based on the mathematical relationship between the two parameters, which is derived from a series of known formulae, the definition of Internet validity factor is put forward as a parameter to connect Internet space validity with time validity so as to judge comprehensively the Internet validity.

通过公式推导证明了网络比重和访问直径二个物理参量之间的数学关系，并基于此形式化定义了Internet网络效能因子，将Internet网络的时间和空间效能联系起来，实现了对网络效能的综合评判。

Consequently the diathermancy was strengthened, the effect of heat transfer was improved and the flow and combustion process in the boiler has become much better. First, in this thesis the burn characteristic of the rubbish and the process of combustion in the chain boiler has been studied. A series of mathematic model has been given. This thesis carefully introduced the principle and formula of the turbulent flow model、two-equation model、radiation model、dispersed phase model and standard wall function method. The software FLUENT has been applied to simulate the temperature、pressure、velocity and mass fraction of species in the boiler furnace and stokehole. The analysis and the comparison have been done. The calculation results indicate agreement with the fact and the studies both here and abroad.

首先，本文针对SZL10-1.25-MJ造纸垃圾焚烧锅炉，结合其燃料的特性，对垃圾的燃烧特性以及层燃炉中垃圾的焚烧过程进行分析；给出一套完整的垃圾锅炉炉内传热数学模型，并分别详细阐述了湍流流动模型、双方程模型、辐射传热模型、离散相模型及标准壁面函数的原理及计算公式；借助于Fluent软件平台对炉膛内的温度场、速度场、组分浓度场及炉膛出口的温度分布、速度分布、组分浓度分布等进行数值模拟，分别从定性和定量的角度与实际情况进行了比较，得到了较满意的结果；模拟结果与国内外的很多研究能较好符合。

College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math

大学：微积分，微分公式，线性代数，概率和统计，离散数学

College: Differential and Integral Calculus, Differential Equations, Linear Al

大学：微积分，微分公式，线性代数，概率和统计，离散数学

College: Differential and Integral Calculus, Differential Equations, Linear

大学：微积分，微分公式，线性代数，概率和统计，离散数学

Computation formula for expecting probability is derived from simple mathematics Computation method for continuousset and discontinuous set of expecting probability, give reference and academics to personnels who are engaged in engineering hydrology design and research.

本文以简单的数学推导导出了期望概率的计算公式；给出了连续系列和不连续系列期望概率的计算方法；具有可操作性。对于从事工程水文设计和研究的人员具有一定的参考价值和学术价值。

On the basis of dual porosity theory,the well test interpretation model which considers the variation of krg versus the volume of liquid is also established and resolved by the implicit method numerically.

摘要通过分析凝析气藏的相图，建立了凝析液饱和度随压力降的变化规律，并回归得出了相应的公式；同时通过对气体压缩因子、黏度随压力、温度的变化，建立了这些参数和无因次压力的关系；在双重介质地层假设的基础上，建立了在试井过程中凝析气相对渗透率随凝析液饱和度变化的凝析气藏试井解释数学模型，采用隐式迭代的方法进行了求解并进行了参数敏感性分析；结果表明：凝析液的饱和度对凝析气藏试井的压力及压力导数曲线有着很大的影响，早期由于凝析液的析出，阻碍了气藏的流动，导致压力及压力导数曲线上升；在凝析液饱和度达到峰值之后，随着凝析液的挥发，凝析气的相对渗透率逐渐恢复，压力及压力导数曲线又回归到正常的径向流位置；由于裂缝和基岩之间的压力差，使得裂缝弹性储容比在测试过程中发生变化，进而影响了压力及压力导数；窜流系数和裂缝弹性储容比的变化决定了窜流段发生的早晚和程度；而基岩中气体黏度的变化使得窜流的发生稍微滞后。

Combined with the experimental data, an empirical formula to estimate residual stress was given.

并结合实验数据，用数学拟合方法给出了激光冲击处理金属材料表层残余应力估算的经验公式。

The mathematical description of the prediction and the related empirical formula are presented.

本文给出了预测方法的数学描述及有关经验公式。

After the mathematic model of spatial spectrum analysis was introduced, interharmonic signals can be transformed to spatial signals received by linear sensor array through Euler\'s formula or Hilbert transform. The number of sinusoidal components of the interharmonic parametric model was corresponding to the source number of transformed spatial signals, and the frequencies of sinusoidal components were corresponding to that of transformed spatial signals.

3介绍了空间谱分析的数学模型，证明了间谐波信号经欧拉公式或希尔伯特变换后可以转变为空间线性阵列接收的空域信号，正弦成分数对应空域信号源数，正弦成分频率对应空域信号频率。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。