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This paper first summarizes recent researches on this topic, and then proposes some methods for curve modeling with cubic algebraic curve based on pure geometric constraints that involve control points, tangent directions and curvatures.

然后提出了一种基于几何约束的三次代数曲线的插值方法,该方法完全通过几何量如控制顶点、切线和曲率来控制三次代数曲线的形状,使得对三次代数曲线的编辑与对三次 B-样条曲线的编辑一样灵活方便。

In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数,当其导数值分别取为导数的精确值,一阶差商,以及算术均差商时,便得到三种插值格式,分别为给定导数值的有理三次插值函数,基于函数值的有理三次插值函数,以及基于算数均差商的有理三次插值函数。

Then, have stressed kinds of technology cubic Hermite function and cubic spline function, step by step, expand dual-cubic Hermite and dual-cubic spline function to progressively, sum up in the point that trinary cubic Hermite and trinary cublic spline finally.

讨论时重点突出了三次埃尔米特函数和三次样条函数,表达方式由浅入深,逐步扩展到双三次埃尔米特函数和双三次样条函数,最后归结到三三次埃尔米特函数和三三次样条函数。

This paper was put forward to the method, principle and procedure of third infilling in order to the economic effective development based on fine reservoir description and remaining oil research.

本文以大庆油田三次加密矿场实践为依据,通过对试验效果的系统评价研究,提出了对三次加密井工艺技术的要求;分析了低效井的原因,研究了降低低效井比例的有效方法,并在杏一~三区矿场试验中得到了验证;通过对加密井单井经济技术界限研究,搞清了三次加密调整的投资成本构成,制定了三次加密调整井增加可采储量、厚度和产量界限;指出了三次加密潜力对象及其分布特征;提出了以精细地质研究为基础搞清薄差储层沉积特征及空间展布、以剩余油综合描述为手段定量描述各沉积单元的剩余油分布特征、以经济有效开发为目的的三次加密调整方法、原则和程序;制定了三次加密井初含水与可采储量测算方法;研究确立了扩大三次加密调整规模的途径。

Research on Coal-forming Environment and Sequence Stratigraphy in Coal Measures Strata;2. The results show:1, there were the differences between the characteristics of the coalification between the Taiyuan Formation vitrain and the Shanxi Formation vitrain which were formed in differencial coal-forming environment s, and the differ.

结果表明:在高煤级煤早期阶段,形成于不同成煤环境的太原组煤与山西组煤的煤化特征仍有差异,在第三次煤化作用跃变之后这种差异逐渐缩小消失;高煤级煤分别以第三次和第四次煤化作用跃变为界,呈现出阶段性演化的特征,每阶段的演化机理有所不同;第三次煤化作用跃变中大分子结构的演化以芳构化作用主为,第四次煤化作用跃变则以强烈的环缩合作用占优势。

The glacial rock surface on the independent hill near Laolinkou Daoban was formed in MIS6. The roche moutonnee in the north of Mountain Tuershang was formed in MIS2. Normally , the distance glacial reached is further and the height of glacial is bigger, the scale of ice age is bigger.

根据三组样品所反映的三次冰期来看,形成于倒数第三次冰期的老终垄的保存,以及形成于倒数第二次冰期的冰川擦痕面的存在,说明最近三次冰期的规模由大到小依次为倒数第三次冰期、倒数第二次冰期和末次冰期。

The three test sessions, including cancellation and static perimetric tests, were performed at approximately 3 months, 4 months, and 7 months post the onset of the stroke.

第一次检查为发病后三个月,第一次和第二次测试相隔一个月,第二次和第三次隔三个月。

Now feedforward and feedback control of the heath box settle the problem. Three times wind pressure give rise to double closed loop control and also realize invariable wind pressure.

一次、二次及三次风压实现了双闭环比值控制,既解决了一次、二次及三次风压恒定问题,又解决了一次、二次及三次风压之间比值恒定问题。

This problem is also important and valuable in Nonlinear Optics. It will be very helpful to understand how the aberrations affect the course of three- wave mixing, such as the change of conversion efficiency, the distribution of intensity and phase.Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental waves aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

首次从三维三波相互作用方程组推导得到了位相畸变光束倍频的小信号解;通过建立国防科学技术人学研究生院学位论文三维数值模型,编写相应仿真程序,首次得到了位相畸变光束倍频过程的大量计算结果,深入细致地研究了位相畸变光束经非线性光学频率变换后谐波的转换效率、光强分布、位相分布以及影响它们的各种因素;得出谐波的远场发散角和光斑二阶矩的变化规律会因为基波像差的不同而不同,但谐波的远场发散角明显地比相应基波的小的结论;得到了在走离效应和衍射效应等影响许多因素可以忽略的情况下,位相畸变传递到二次谐波的估算式;举例分析了KDP三倍频方案中,基波位相畸变对二次谐波和三次谐波的影响;实验工作中,用哈特曼一夏克传感器分别对IO64nm倍频过程和790飞秒超短脉冲倍频过程中的基波和谐波的位相分布进行了测量,给出了相应结果。

Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental wave's aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

首次从三维三波相互作用方程组推导得到了位相畸变光束倍频的小信号解;通过建立三维数值模型,编写相应仿真程序,首次得到了位相畸变光束倍频过程的大量计算结果,深入细致地研究了位相畸变光束经非线性光学频率变换后谐波的转换效率、光强分布、位相分布以及影响它们的各种因素;得出谐波的远场发散角和光斑二阶矩的变化规律会因为基波像差的不同而不同,但谐波的远场发散角明显地比相应基波的小的结论;得到了在走离效应和衍射效应等影响许多因素可以忽略的情况下,位相畸变传递到二次谐波的估算式;举例分析了KDP三倍频方案中,基波位相畸变对二次谐波和三次谐波的影响;实验工作中,用哈特曼-夏克传感器分别对1064nm倍频过程和790飞秒超短脉冲倍频过程中的基波和谐波的位相分布进行了测量,给出了相应结果。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。