数学模型

In this paper, we mainly study the controllability for semilinear parabolic equations with various controls.

抛物型方程是自然界热传导过程的数学模型，因而是数学物理中一类重要的方程。

In this thesis, the mathematic model of servo system is set up, the contour error in straight line and circular interpolation movement on the duplex servo-system is analyzed, and the method to raise the contour accuracy of the movement track is put forward.

本论文建立了数控伺服进给系统的数学模型，对双轴进给系统在作直线和圆弧插补运动时形成的轮廓误差进行了数学分析，并指出了提高试验台运动轨迹轮廓精度的方法。

This Paper mainly introduces the set uP. of the mathematic model, the mathematic choice of simulation algorithm, the content of the computer simulat...

本文主要介绍了连续铸钢凝固传热过程数学模型的建立、仿真算法的数学抉择、连续铸钢凝固传热过程计算机仿真软件包的主要内容及该软件包应用于实际的结果分析等。

According to static stability and avoiding the singularity induced bifurcation, saddle-node bifurcation, and Hopf bifurcation in power systems, this paper presents mathematical models for stability equilibrium solutions based on the semismooth property of spectral functions in mathematics.

针对电力系统中静态稳定和避免奇异诱导分岔、Saddle-Node分岔、Hopf分岔几类典型的系统稳定问题，基于数学上谱函数的半光滑特性，建立了系统稳定平衡解的数学模型。

Hybrid Dynamic; time-varying systems; finite horizon; optimal control; Quasi-Variational Inequality; viscosity solution; lower semicontinuous solution; uniqueness; Dynamic Programming; Viability Theory; inventory systems; mathematical model; proximal subdifferential; parabolic equation; nonlinear boundary

基础科学，数学，控制论、信息论混合动态；时变系统；有限时间；最优控制；拟变分不等式；粘性解；下半连续解；唯一性；动态规划；生存定理；库存系统；数学模型；邻近次微分；抛物型方程；非线性边界

It is characteristic of higher theorization and abstract conception.

在讨论控制对象的数学模型和分析其性能时，往往需要大量的数学知识如拉氏变换、微分方程、复变函数理论和Z变换等。

Vanadium content in steel,deformation temperature,deformation rate,cooling rate,on high temperature thermoplasticity of low alloy vanadium steel was quantitatively investigated on GLEEBLE - 1500 thermal - mechanical simulator by means of orthogonal design test.

应用GLEEBLE-1500热力模拟机，采用正交分析法定量研究了低合金钢中含钒量、变形温度、变形速率、冷却速率等因素对含钒钢高温热塑性的影响，用数学回归法建立了各影响因素与钢的热塑性间的数学模型，为制定含钒钢连铸工艺提供了依据。

This paper introduced the appliance of probability and statistics in reality,including classical model,formula of total probability, normal distribute,mathematics expectation and the central limit theorem.While it also discusses the widely uses of probability and statistics and the close relationship with the real life.Therefore,it lays the theoretical foundation for the practical uses with probability and statistics,and the basis of mathematics model.

本文介绍了概率统计的某些知识在实际问题中的应用，主要围绕古典概型，全概率公式，正态分布，数学期望，极限定理等有关知识，探讨概率统计知识在实际生活中的广泛应用，进一步揭示概率统计与实际生活的密切联系，为应用概率知识解决实际问题，数学模型的建立，学科知识的迁移奠定一定的理论基础。

The discrete mathematical models of the roundness and cylindricity EST are established; the mathematical models of the generating line straightness, axis straightness, coaxality, circular run—out and total run—out error of the revolution workpiece are put forward and established first based on the EST; the method about how to sample and to process sampling data are given when these models are applied to measure workpleces.

其主要内容是：针对长期以来国内对回转误差运动的有关定义的争论，对回转误差运动的本质进行了讨论，进一步明确了静心与静轴，动心与动轴的概念，并对此进行了数学推导，给出了相应的数学模型；统一了&平动说&和&瞬心说&关于回转轴线的定义，指出了两种学说各自的力学基础和它们的一致性。

This paper, basing on the software system, analyzes the quenching process at point of diathermanous subject view; introduces the instrument of measurement and the experiment principle; concretely analyses the mathematic models and processing method of the data-processing system, which is the theoretic groundwork for programming; describes the makeup of the software and how to design and actualize it.

论文部分基于作者所开发的淬火介质冷却性能测试软件系统，从传热学的角度分析了淬火冷却过程；介绍了淬火冷却性能测试设备及原理；重点分析了数据处理系统部分数学模型的建立及相应的数学处理方法，这部分是系统编程的理论基础；并概述了系统的构成，软件的设计及实现。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。