数学公式

Variation of sensitivity during determination can be calibrated mathematically through monitoring the peak of ArAr.

在测定过程中灵敏度的变化可通过监测ArAr质谱峰的变化进行校正，并建立了数学校正公式。

Considering the double property of the human activities, this chapter also discusses the adjustment of state space axile in detail Secondly, the concept of Period Ideal State of regional man-land system and the methods and principle of measuring it were given.

第三章根据状态空间思想建立了区域承载力的概念模型。在此基础上给出了区域承载力和区域承载状况的数学表达式以及判断公式。并详细讨论了由于人类活动具有压力和潜力双重性而导致状态空间轴的调整。

Based on observation data, the development process of the breach of landslide dams due to over topping may divided into 3 modes: vertical erosion, breadthwise extension and regression erosion of dam slope. A mathematical model describing the gradual failure process of the landslide dams is established based on the formula expressing the high intensity erosion obtained from experimental data, which can integrate the 3 modes of breach development process together. The validity of the model is verified by observation data.

根据一般滑坡堰塞坝特点和实际观测到的堰塞坝溃口发展规律建立了一个溃口扩展模式，并将溃口扩展过程归纳为溃口垂直下切、横向扩展和坝坡溯源冲刷3种主要表现形式，采用通过试验资料建立的高强度泥沙冲刷计算公式将这3种表现方式联系在一起，建立了堰塞坝逐渐溃决数学模型，并利用实测溃坝资料验证了模型的可靠性。

In this paper the author overviews mass magnesia concrete dam thchnical origin, the present status here and abroad, and available primal problems; descripts theexpansive character of magnesia concrete, fundamental force performances and long-term lasting quality, derivates all the equations of temperature field and temperature stress field, analysises the existing canonic calculating autogenous volume deformation model of the micro-expansive concrete, at last select the expansion model of dynamics for calculating.

本文综述了大体积混凝土氧化镁筑坝技术的由来、国内外研究现状、优势及存在的主要问题；叙述了掺氧化镁微膨胀混凝土的膨胀特点、基本力学性能及长期耐久性能；推导了计算温度场及温度应力场的全部公式。对现有计算氧化镁混凝土自生体积变形的几个典型模型进行了深入的研究和分析，阐述了它们各自的优缺点，最终选定动力学模型作为计算氧化镁混凝土自生体积变形的数学模型。

A theoretical study on mechanism of mass and heat transfer was carried out based on several assumptions, namely one dimensional steady flow and non condensable gas in the air gap.

采用一维定常流动及空气间隙层中不冷凝的假定，对空气隙膜蒸馏系统的传质传热机理进行了理论研究，数学推导中对相关物理量进行了量阶分析，提出小量假设，导出了计算蒸馏通量的理论公式。

It introduces a kind of novel loading test system, based on the operation principle of damper. this loading system is operated by the driving motor. it realizes the loading, in that the damper has a negative drive force that puts on the motor. Based on the ordinary electromagnetic damper, the thesis presents a novel hybrid excitation electromagnetic damper which has adjustable work characteristic, analyses the working principle and structural feature of the electromagnetic damper, deduces the formulas to calculate the eddy current density through the Electromagnetic theory, analyses the distribution of the eddy current in the cotyloid rotor, and also studies the method of calculating the damp torque, establishes the mathematical model of the electromagnetic damper, analyses the relationship between the electromagnetic damper structural parameter and damp torque, researches the engineering design and analysis method of the electromagnetic damper, provides theory foundation for the design and analysis of the electromagnetic damper, contrives a hybrid excitation electromagnetic damper that satisfies the target request, designs a set of compound excitation electromagnetic damping loading control system whose control core is AT89C51 monolithic integrated circuit, analyses the electric circuit part, and carries on the experimental test to this set of electric circuits. Finally it debugs this electromagnetic damping loading system, this system satisfies the target request proposed.

论文提出了一个全新的加载测试系统种类，该加载系统是在阻尼器工作原理基础上，利用电动机拖动阻尼器运转，从而阻尼器产生一个与运动方向相反的阻尼力矩，该力矩作用在电动机上实现对电动机加载测试；同时，论文在一般电磁阻尼器基础上提出了一种新型的可调式复合励磁电磁阻尼器结构，该种阻尼器的工作特性在一定范围内可进行调节；论文分析了电磁阻尼器的工作原理和结构特点，运用电磁场理论分析推导了电磁阻尼器的涡电流密度公式，分析了涡电流在转子杯内的分布图，并对阻尼力矩计算方法进行了研究，建立了电磁阻尼器的数学模型，分析了电磁阻尼器结构参数和阻尼力矩之间的关系，对电磁阻尼器的设计和分析方法进行了研究，为电磁阻尼器的工程设计建立了理论基础；设计了满足技术指标要求的复合励磁电磁阻尼器和一套以AT89C51单片机为控制核心的复合励磁电磁阻尼加载控制系统，对该控制系统硬件电路各部分进行了分析和设计，对软件进行了设计，并对控制电路进行了试验调试，该系统满足所提出的加载指标要求。

In the former representation, if no restrictions are imposed on formulas, then there is no algorithm to realize the reasoning in the resulted knowledge base; in the latter representation, the reasoning in the ontology represented by the description logic is decidable, while in general, for mathematical knowledge described by the first order logic which contains the ontology represented by the description logic, there is no algorithm to realize its reasoning.

在前者的表示中，如果对公式不作任何限制，那么得到的知识库中的推理不是可算法化的；在后者的表示中，以描述逻辑描述的本体中的推理是可算法化的，而以本体为逻辑语言的一部分的一阶逻辑所表示的数学知识中的推理一般是不可算法化的。

SMn, TC4(Ti-6Al-4V ) at high temperatures, the stress-strain curves and stress relaxation curves are automatically recorded by the X-Y function recorder with the help of laser scanning deformeter.

本文提出用对数方程作为应力应变关系及高温短时应力松弛的数学模型，进而求得了板料在热校形中的塑性纯弯曲回弹角度及回弹半径公式。

In this paper the mathematical models and methods for GPS single-point positioning are studied systematically on the theory.All kinds of error correction formulas are studied,such as ironsphere correction,troposphere correction,relativistic effect correction,earth rotation correction ,earth tides correction ,satellites antenna phase center offset correction. GPS single-point positioning programs is coded with pseudoranges and broadcast ephemerides,phases and broadcast ephemerides,and phases and precise ephemerides.And a great amount of computation has been done using the data collected .The results are computed with the 24 hour pseudoranges observation data before and after the canceling of the SA.

本文从理论上系统地研究了GPS单点定位的数学模型和方法，研究了各项误差改正公式，例如电离层改正、对流层改正、相对论周期部分改正、地球旋转改正、地球固体潮改正、卫星天线相位中心偏差改正；编写了伪距与广播星历、相位和广播星历及相位和精密星历的定位程序，并使用有关数据进行了大量的计算工作。

The reestablish and error estimation formulas of the non-noise signal under the finitive scale condition is given for the basic filtering operation of high pass, low pass, and band pass respectively. The signal Wavelet analysis softwave developed, which is of some common use, and is served as the basis of the research following it, is also introduced here.

第二章首先建立了突变信号的数学模型；导出了对突变信号进行连续小波分析的尺度截取准则；分别针对突变信号进行高通、低通和带通三种基本滤波操作的情况，给出了在有限尺度分析情况下的非噪部分信号的重建估计和误差估计公式；并介绍了所开发的作为后续工作的基本分析工具、具有一定通用性的信号小波分析软件。

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。