切曲面

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

Both of them are the normal distance of the tangent plane at the check point on the limit state surface in the generalized stochastic space and the asymptotic formula for Laplace''s integral respectively.

提出了利用广义随机变量空间失效极限状态曲面上验算点处切平面法线和Laplace型积分渐近公式两种确定任意分布的荷载变量相关下结构的可靠指标的新方法，改进了现行防波堤失效概率计算理论。

To obtain the parts surfaces' constant scallop height after machining, a new toolpath generation algorithm named as curved surface mapping approach for 3D equidistant path-interval and conto.

曲面映射法是依据加工后零件表面材料余量呈现"等残留高度"的要求，设计的一种生成空间等距环切加工刀具轨迹的新方法。

The governing equations of laminate-faced sandwich cylindrical shallow shells based on the first-order shear theory with large deflection are high-order partial differential equations. Four dependent functions are involved.

大挠度剪切理论下复合材料夹层圆柱扁壳的稳定性控制方程是一组非线性高阶常系数偏微分方程，其中包含四个独立的函数，它们分别为横向挠度w、参考曲面的法线转角Φx、Φy和应力函数F。

On the basis of vector shearing of four graphical primitives: line, polygon, surface and text, the author established a relatively perfect vector cut model for 3_D digi...

以线条、填充多边形、曲面和注释 4种图元的剪切为基础，建立了一个较为完善的盆地三维数字构造-地层体的矢量剪切模型，并且编制了相应的软件。

On the basis of vector shearing of four graphical primitives: line, polygon, surface and text, the author established a relatively perfect vector cut model for 3-D digital tectonic-stratigraphic basin, and, furthermore, wrote the corresponding software.

以线条、填充多边形、曲面和注释4种图元的剪切为基础，建立了一个较为完善的盆地三维数字构造-地层体的矢量剪切模型，并且编制了相应的软件。

After analyzing the curvature of the forming surface and the relativ emotion between the forming surface and the curved tooth surface during envelope tooth cutting,the authors work out the equations for calculating the induced normal curvature and geodesic deflection,the principal curvature and direction of the tooth surface of this kind of circular-arc gear .

通过对产形面曲率和包络切齿时产形面与齿曲面相对运动关系的分析，推导出双向圆弧齿轮齿面的诱导法曲率、诱导短程挠率和齿面的主曲率、主方向等计算公式。

By the algorithm, the surfaces are first divided into a series of mapping areas and synthesis areas using the constraints of the triangles' normal and texture attributes. Then the mapping areas are textured by harmonic mapping from the 2D mapping sample, by a patch-based synthesis method. Finally, the synthesis areas are textured by a triangle-based synthesis method.

首先以三角形法向量、切向矢量与纹理尺度为约束，将三角网格曲面分割为一系列映射区与合成区；然后用基于块的平面纹理合成方法生成大面积样图，用调和映射方法对映射区进行纹理映射；最后采用基于三角块的合成方法生成合成区纹理。

A tetrahedral mesh with up to somehundred thousands nodes can be generated within hours with a personal computer.. By using the general harmonic mean of heat conduction coefficient, a new discretization method in the unstructured grid with anisotropic and heterogeneous media is developed.

生成的网格可以按照给定的纵横比实现剖分（纵横比可高达2000），这样就克服了非结构网格难于在粘性支层内使用的缺点；给出了切平面测度和主曲率测度矩阵的建立方法，结合各向异性网格生成技术，实现了三维空间曲面剖分，为三维实体剖分做了准备。

The concept and algorithm for nonsingular orientation-workspace of the platform at a certain position are proposed.

提出了该机构处于给定位置时的非奇异姿态工作空间概念及其算法，并以非奇异姿态工作空间边界曲面的最小内切球作为实际姿态工作空间，以该球半径大小作为衡量机构处于给定位置时的实际姿态能力的性能指标。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。