数学模型

OBJECTIVE: To establish a three-dimensional finite element model of a mandibular molar with dental implant inserted in mandibular molar area using reverse engineering, and to provide mathematical model basis for biomechanics researches of stomatology.

目的：利用逆向工程快速建立含下颌磨牙种植义齿的颌骨三维有限元模型，为口腔生物力学的研究提供数学模型基础。

Model-Free adaptive control is an advanced control strategy with excellent adjustability and robustness.

1引言无模型自适应控制是一种先进的控制策略，它不依赖于受控对象的数学模型，具有很强的适应性和鲁棒性。

The physical and mathematical models of underground gasification are erected; a temperature field in the district of gasification is set up; the instance analysis on the computer analogue simulation machine has been carried out; systematic analysis and research on the variable rules of temperature and different components has also been taken and some important resultants about the best position for drilling and the relationship between adjustment and control and gasification stability have gained, which opens up a new field for the sight research of the control of the stability of underground gas of coal.

建立了钻孔调控气化的物理模型、数学模型及气化盘区温度场，并进行了计算机模拟仿真及实例分析，对温度及各组分的变化规律进行了系统的分析研究，得出了最佳调控钻孔位置及调控与气化稳定的关系等重要结论，为煤炭地下气化稳定控制的可视化研究开辟了新的领域。

Studying the chemical balance,energy balance and material balance in the gasification process and probing into the interaction in the gasification process and law of changing offer a theoretical foundation for gasification control. Through the materialization nature of coal, the gasification characteristics of the deoxidize zone are mainly studied (the dynamics characteristics and chemical characteristics). Probing into coz deoxidize mechanism ?establishes the theoretical foundation for the proposition of mark gas;the Principle to adjust and control temperature and applying methods is studied;the physical and mathematical models of underground gasification are set up;A temperature field in the district of gasification is set up and the instance analysis of computer analogue simulation machine has been carried out.

本文通过探讨"三带"基本特征，进而对煤炭地下气化的过程稳定进行研究；研究气化过程中的化学平衡、能量平衡及物料平衡，探讨气化过程中各组分之间的相互关系及变化规律，为气化调控提供理论依据；通过煤炭的物化性质，重点研究还原带的气化特征，分析探讨还原机理，为标志气体的提出奠定理论基础；研究以标志气体为核心的调控升温气化原理及实施方法；建立地下气化的物理模型与数学模型；建立气化盘区温度场，并进行计算机模拟仿真的实例分析。

According to Lagrange equation in analytic dynamics, the dynamic equations of the Double-Axis Gyro Stabilized Platform of a certain airborne SAR antenna are derived, its linear model and the transfer functions of other main parts in the DAGSP are given and at last the block diagram of DAGSP is given.

6利用分析力学原理，推导了某机载天线双轴陀螺稳定平台的动力学方程和线性化模型；给出了天线双轴陀螺稳定平台中各主要环节的传递函数及数学模型。

The force analysis models and the analytic solutions of the type transformation units of the geared linkage mechanism were given, the forceanalysis models were perfected.

给出了齿轮连杆机构型转化法力分析单元的模型及显式解，完善了齿轮连杆机构力分析的数学模型。

In this model, the weight coefficient method and priority analytical hierarchy process were introduced to obtain the optimal solution.

在建立多目标线性规划的数学模型中，引进了权系数法和优先层次法，并综合两者的特点以使模型的解能达到最优。

This article establishes two maths models of fuzzy reliable design for brake steel wire rope,which comprehensively uses fuzzy maths theory and reliable design method according to the study of brake steel wire rope of mine shaft.

以矿井井筒制动钢丝绳为研究对象，综合运用模糊数学理论及可靠性设计方法，建立了制动钢丝绳的 2种模糊可靠性设计数学模型，探讨了模糊变量与随机变量同时存在的制动钢丝绳的可靠性设计方法，并给出了计算示例。

Based on the durability characteristics of prestressed concrete structures,the durability limit states of carbonation and chloride ion attack are defined,respectively.Durability predicting models on the basis of reliability mathematics and stochastic processes are constructed,and the pure theoretical formulae of failure probability of prestressed concrete structures are analyzed.

根据预应力混凝土结构的耐久性特点，分别定义了结构构件在碳化环境和氯离子侵蚀环境下的耐久性极限状态，建立了以可靠性数学和随机过程为理论基础的数学模型，并对耐久性失效概率进行了理论分析。

On CHE programming, the higher coupling ratio of control-gate makes the higher electrical field across TOX in Si than Ge. Also because of the continuity of displacement vector, the higher permittivity of Ge would cause the lower electrical field at interface. We get the higher gate current in Si than Ge. On CFN programming, the higher CT in Ge would show the higher electrical field across TOX. However, the parameters of F-N tunneling are calculated and showing the gate current in Si is larger than Ge. On the same mechanism of F-N tunneling erasing, the parameters also show the higher electrical filed of Si would cause the higher erasing speed. The continuity of displacement vector also explains the higher electrical field at interface for F-N tunneling programming/erasing.

从通道热电子穿隧写入的模拟结果发现，由於控制闸极耦合电容的影响，加上电位移向量在半导体-氧化层界面连续的观念，拥有较高介电常数的锗反而得到较小的等效电场，决定了穿隧电流反倒是不如矽基板；在F-N穿隧写入的模拟中，即便锗基板拥有较大的总耦合电容，使得在浮闸的耦合电压大於矽基板，但仍旧是半导体-氧化层界面的电场扮演了穿隧电流的决定性因素，得到的结果仍旧是矽基板的写入速度高於锗基板；在F-N抹除的模拟中，运用与F-N写入相同的数学模型，仍旧看见在锗基板上未能得到速度上的改善，同时用数学的计算展示了合理的解释。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。