双曲线的

Algebraic curve is commonly used in CAGD. Traditional curve interpolation is in various forms of spline fuction. Although better result can be obtained by spline curve, the former two of elliptic, hyperbolic and parabolic shapes can not be represented by spline curve. An exploring research in this aspect is made in this thesis.

代数曲线是CAGD中经常用到的曲线，以往的曲线插值基本上是采用样条函数的形式，采用这种形式虽然能够获得很好的效果，但样条函数所能表达的形状都是抛物线型，对椭圆型与双曲线型曲线的表示是无能为力的。

In this paper, a method, which is based on GPS Time system, is applied to synchronize all GIBs. With GPS receiver's 1PPS output , GIB can compensate for the crystal oscillater's drift. 4. Mathematic Model of UGPS Based on the principle of hyperbola intersection, an iterative algorithm and an analytic algorithm are deduced to resolve system equations with four GIBs observations. It can also be used to resolve the approx coordinate with more than five GIBs'observations.

系统的定位数学模型分析基于双曲线观测的定位模型是系统的基本原理，本文对该数学模型的求解进行了详细分析，对于四枚浮标的系统，本文给出了了迭代算法和解析算法求解的推导，同时对于多余四枚浮标的系统，本文给出了最小二乘算法求解推导。

Investigation was made of the sputtering rate in glow discharge lamp with re-lation to constituent of 25 different specimens of 6 binary systems, namely, Cr-Fe, Bi-Sb,Cu-Zn, Ag-Cu, Al-Zn and Cd-Sn, by measuring mass loss after each sputtering under con-stant Ar pressure and voltage applied. The correlation, in general, between sputtering rate andconcentration of constituent of these non-intermetallic binary alloys obeys the hyperbolic lawunder steady state, yet may be approximately regarded as linear only on certain special condi-tion if the two components of the alloys with similar sputtering rates.

在恒定气压和电压条件下，用测量溅射减量的方法，系统研究了Cr—Fe，Bi-Sb，Cu—Zn，Ag—Cu，Al-Zn和Cd—Sn六个系统的25个试样在辉光放电灯中溅射率与组分的关系结果表明；阴极溅射在稳态时，二元合金的溅射率与组元浓度的普遍关系是双曲线，只有在某些特殊情况下，两组元的溅射率相差不大时，可以近似看成线性关系。

Based on the priori knowledge of a point scattering - hyperbolic feature of subsurface objects in GPR B-Scan images, a method of ROI extraction with Neural Network is presented.

在分析了均匀介质中的目标回波特征一双曲线形态的产生机理和基本特征的基础上，提出了一种利用神经网络进行ROI提取的方案，根据GPR数据解译的特点，本文设计了相应的B-Scan图像预处理方法和神经网络结构、训练及测试方法，使用塑料管及其他目标的B-Scan实测数据对神经网络进行训练与测试。

Kinetics of methanol dehydration to dimethyl ether on modified kaolin catalyst was studied in an integral reactor under normal pressure. It is deduced that the surface reaction of methanol molecule adsorbed on the active site of catalyst with methanol molecule in gas phase is the rate determining step. The hyperbolic type kinetic equation r=ksbMpM2/(1+bMpM+bpE) is obtained according to the theory of langmuir even adsorption and using the R-E mechanism.

采用积分反应器，考察了常压下在改性高岭土催化剂上甲醇脱水生成二甲醚的反应动力学，根据Langmuir均匀吸附理论，采用R-E机理，推断吸附的甲醇分子与气相主体中的甲醇分子发生的表面反应为速率控制步骤，得到双曲线型动力学方程为： r= ksbMpM2 /(1+bMpM+bpE)（r为反应速率， ks为反应速率常数， bM为甲醇的吸附平衡常数， b为二甲醚和水的吸附平衡常数之和， pM、 pE分别为甲醇、二甲醚的分压）。

This paper deals with the fertilizer rate for high—yield hybrid rice. By using the regression analysis, a hyperbola equation between soil natural nutrientsupplying rate and available nutrient content and a power functional equation between hybrid rice yield and nutrient uptake have been set up.

本文研究了高产杂交水稻的施肥量，通过回归分析建立的土壤养分自然供给量与土壤速效养分含量之间的双曲线方程和水稻产量与养分吸收量之间的幂函数方程，阐明了土壤养分自然供给量随土壤养分含量的变化而变化的规律和水稻产量与养分吸收量之间的关系。

By analyzing the displacement mode of unstable soil and the deformation mechanism of passive pile,an elastic perfectly plastic model and a hyperbolic curve model about the behavior of piled bridge abutment against soil lateral movements are developed on the basis of the previous research.

通过总结侧向变形土体常见的位移模式，分析桥台桩的变形机制，在阐述不同模式下桩侧压力的产生机理及桩的几种破坏模式的基础上，提出桩土间相互作用力与桩土间相对位移的双曲线关系模型和理想弹塑性关系模型，可为相关研究提供参考。

In chapter 3,we dig out two families of invariant quartic curves of a quadratic system.

第五章讨论向量场具有对称中心的二次系统，利用系统的不变双曲线及不变四次曲线，我们确定了一个对应极限环（1.1）分布的二维参数区域，其边界的构成为如下几种常见的极限环分枝：霍夫分析，庞加莱分枝，同宿分枝和异宿分枝。

Based on the theory of"S-R"stability for the voussoir beam, the paper analyses the mechanics boundary condition, the distribution features of displacement and stress fields, the relationship between working resistance of supports and roof-to-floor convergence, roof stability in tip-to-face area in fully mechanized mining with sublevel caving etc.

论文视直接顶为可变形体，得到直接顶岩层破断角的大小和直接顶的强度及高度有关，传统的P一Δl双曲线关系并不适用于直接顶的高度成倍增加以后的情况。

Applying soil's nonlinear stress-stran relationships (the skelton curve adopts Hadin's hyperbola model and the loaded/unloaded curve adopts the Masing's law revised by Pyke), and taking the viscous boundary as flank artificial boundary, 2D dynamic analysis of the foundation is programed by FEM. It contains an automatic dividing-element subroutine. It could be employed to calculate the horizontal and vertical seismic responses of the soil and foundation.

本文按照土体的非线性应力—应变模式，即将Hadin的双曲线模式作为骨架曲线，加卸荷采用Pyke等修正的广义Masing二倍法则，采用粘性边界作为侧面人工边界，用八结点等参数有限元法在微机上编写了二维地基的动力分析程序，该程序含有网络自动剖分模块，能较好地模似地基和基础在水平方向和竖向的地震反应。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新