查询词典 plane curve

As a result,the general methods for constructing the unisolvent set for bivariate Hermite interpolation in R~2 and along a plane algebraic curve are deduced,respectively.

然而，插值多项式的存在唯一性问题是必须首先解决的问题之一·本文中我们将研究一般性的二元Hermite插值问题。

In this paper, multivariate Lagrange interpolation problems are systemically discussed,and through amending Cramer Strange Proposition and proving interpolation theory, the geometry construction of the properly posed sets of nodes along the plane algebraic curve is studied, at the same time, a number of practical constructing methods are given.

本文系统阐述了多元Lagrange插值问题，通过修正Cramer奇论并用插值法加以证明，进一步对沿平面代数曲线插值唯一可解点组的几何结构进行深入的研究，同时得到了一些实用性较强的构造方法。

In this paper,some problems on bivariate Hermite interpolation by polynomial are studied.The concepts of strong H-basis and Hermite interpolation along a plane algebraic curve are proposed.

1引言如所知，光滑函数方法被广泛地应用于计算机辅助几何设计，有限元及散乱数据插值与拟合(Scattered data fitting and interpolation)等领域·在应用该方法过程中，有关光滑或Hermite插值格式及其显式表达式问题的研究是至关重要的一个方面。

On the basis of analytic geometry, the projection curve types of intersection lines of cone and cylikder, cone and cone on V plane is hyperbola and cone and sphere is parabola.

基于锥与圆柱、圆锥、圆球正贯时，相贯线V 面投影为双曲线和抛物线，且X 向极值点所在高度只与柱、锥轴线、球心距离锥顶高度和立锥锥顶角有关，而与它们的直径无关，给出了求该极值点的作图方法。

Based on the laminate theory, a laminate weakened by damage is treated as an anisotropic thin plate. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of Faber series. A hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. The state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and Yamada-Sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up. The effects of various parameters on the stress distribution and the residual strength of a composite laminate weakened by damage are detailedly studied.

首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以Faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和Yamada-Sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。

The trajectory of antisubmarine homing torpedo is a complex space curve, so there is big limitation in accounting its trajectory length by plane geometry.

由于反潜自导鱼雷的弹道是一条复杂的空间曲线，因而平面几何解析法求解其弹道长度有较大的局限性。

A formula was deuced, which shows the relation between the outlet angle of center line of channel and wrap angle, variant coefficient, if variant Archimedes spiral is assumed the curve of center line of plate plane. It is the basis for controlling outlet angle of channel.

推导了采用变异的阿基米德螺线作为平面流道中线时，中线出口角与包角和变异系数之间的关系式，为设计中控制流道出口角提供了依据。

The full length of this road is 5721 meters, including six turning points and twelve upright curve, according to the requirement of the letter of assignment, we should fulfill the missions as follows: Route plane design, route vertical section design, roadbed design, road surface framework design (asphaltum road surface and concrete road surface) as well as selecting one kilometer for road surface drainage design, route transect design together with cubic meter of earth and stone.

此公路全线5721米，共设有六个转点，十二个竖曲线，根据设计任务书的要求，本次设计将要完成以下任务：路线平面设计，路线纵断面设计，路基设计，路面结构设计(沥青路面和水泥混凝土路面)以及选取一公里的路线进行路面排水设计，路线横断面设计，并进行土石方的调配。

Principal Plane Choose a plane to flatten the curve onto.

代理平面：选择一个轴平面平坦曲线。

The new theory unifies a series of the single nonlinear strength theories for various concrete materials, which includes the whole region between the upper-limit Mises circular and the lower-limit SMP curve on the π plane of principal stress space, and the strength curves on the meridian plane are the exponential functions.

该理论在主应力空间的π平面上含盖了从下限SMP曲线到上限Mises圆之间的所有区域，子午面上的破坏曲线为幂函数形式；共有四个材料参数，均具有明确的物理意义，并给出了参数的确定方法。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。