查询词典 condition equation

In addition, some experience formulas for them are regressed. The third chapter establishes a unified S-N curve equation to calculate multi-axial fatigue ultimate strength of concrete considering both the effect of confinement and minimum/maximum stress ratio, based on the triaxial fatigue test data in this paper and the test results under uniaxial and biaxial fatigue loading in previous literatures. Moreover, the consistency of calculating condition fatigue ultimate strength with fatigue life distribution and initial ultimate strength distribution is analyzed.

第二章简要地介绍了本文三轴疲劳试验装置，进行了两向等侧压约束下混凝土立方体试件三轴受压等幅和变幅疲劳试验，分析了三轴受压疲劳破坏机理，给出了相应的疲劳破坏试验判断标准；得到了混凝土在两向侧压约束下单级和多级受压疲劳的变形发展规律，包括最大纵向应变、残余应变、最大纵向应变率和疲劳变形模量等随循环次数的发展规律以及疲劳损伤的演变规律，并给出了相应的经验公式。

In addition also introduced the differential theorem of mean in the proof equality and the inequality, the certificate equation root existence, asks the limit, to ask the approximate value, as well as aspect and so on research function condition should thus deepen to the differential theorem of mean understanding.

此外还介绍了微分中值定理在证明等式和不等式、证明方程根的存在性、求极限、求近似值，以及研究函数性态等方面的应用，从而加深对微分中值定理的理解。

The main idea behind these methods is to take advantage of the known state variables and the theorem of addition for linear system without building up a new Jacobian matrix again. But the equivalent computation of algebraic equation must be performed to get state variables corrections. Accordingly, the speed required to model the contingencies is not fast enough to meet the demand of fast contingency analysis under emergency condition, which is proved by several well-known blackouts caused by flow transferring.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

Then the relationship which unknown coefficient satisfies from additional condition is derived. We deduce the existence and uniqueness of solution of the pseudoparabolic equation at last.

首先在假定系数已知的条件下，求出方程的形式解，然后再利用附加条件得到未知系数满足的关系式，最终给出了此类反问题解的存在唯一性。

In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

The paper studies fault diagnosis technology based on fruticose gas pipe network which is universal in small towns,and gives a particular description of domestic and foreign gas pipe network fault diagnosis technique based on hardware and software currently. The author uses graph theory to build up hydraulic analysis model of natural gas network and presents its solution methods. Besides, the author works out the relation between gas pipe pressure and flux in unsteady condition of fluid flow according to pressure boundary condition and differential equation group, and puts forward fault diagnosis methods and steps of the fruticose natural gas pipe network of middle pressure based on the simplification of this relation.

本文针对小城镇比较普遍的枝状天然气分配管网进行故障诊断技术研究，详细叙述了目前国内外基于硬件和软件的燃气管网故障诊断技术，利用图论理论建立了天然气管网水力分析模型并叙述了其求解方法，根据燃气管内流动的微分方程组和压力边界条件求解出非稳定流动时燃气管道压力和流量的关系，并在对此关系进行简化的基础上提出了基于中压枝状天然气管网的故障诊断方法和步骤。

This diffusivity equation has been used to model the different ideal condition drying process, analyze the influence of internal temperature field on internal moisture diffusion. Further studying shows that: on some condition, there may be exist the fastest drying process, to a certain extent, which illustrates the direction and the potential of optimizing heat and mass transfer.

最后应用模型进行了不同理想工况下物料干燥过程的模拟计算，分析了物料内部温度场对水分扩散的影响，进一步研究表明：物料在一定条件下有一个最快干燥过程存在，这在一定程度上说明了优化传热传质的方向与潜力。

The thermodynamics about the buckwheat microporous starch absorbing the methylene blue follows the monolayer absorption rule of the Langmuir equation. The alkalinity condition monolayer saturated adsorption is 2.9 times higher than acidic condition. When pH value rose from 4.8 to 10.8, the negative value of absorption heats increased, absorption was spontaneous exothermic process, and that was easier to carry on at pH10.8 due to the slight adsorption electrostatic repulsion.

荞麦微孔淀粉对亚甲基蓝的吸附热力学遵循Langmuir直线吸附方程的单分子层吸附规律，碱性条件的单分子层饱和吸附量比酸性条件高2.9倍；pH值从4.8增大至10.8，吸附热负值增大，吸附为放热的自发过程，且在pH10.8时吸附所受到的静电斥力小，吸附更容易进行。

A novel numerical boundary condition is presented in the paper, which is compared with the method of measured equation of invariance on computational time and memory requirement. It is demonstrated that the new boundary condition is of benefit both on the time and memory, therefore is an efficient method for computation of electrically large dimension objects.

本文给出了一种新的吸收边界条件，并与不变性测试方程法、矩量法在计算时间、存贮空间方面进行比较，结果表明运用这个条件在计算时间和存贮空间上都具有优点，是计算电大尺寸媒质柱体电磁散射特性的一种有效手段。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。