平面把

How general production descent speak antiplane mill, ensure that the number of plane error, the consumer to misunderstanding.

生产裔一般讲如何磨出平面，保证平面误差在多少之内，把使用者带到误区。

In the second chapter, elementary theories and ideas of one step forming inverse approach were described and warped modification method, implemented by Cook, was introduced into one step forming simulation and based on idea of surface spreading; new quadrilateral element modification arithmetic was put forward. By spreading warped quadrilateral onto plane in local coordinate system, a plane quadrilateral element whose shape and area were equal to original warped quadrilateral element was gotten and internal force vectors of four nodes and stiffness matrix of elements were improved to increase precision of simulations on this plane element.

第二章从一步成形逆有限元法的基本理论和思想出发，将Cook基于弹性理论的四边形单元的翘曲修正算法引入基于塑性的一步成形，并且基于曲面展开的思想，本文提出一种新的四节点单元翘曲修正方案，通过把翘曲的单元展开的方法在局部参考系中得到一个与实际翘曲单元的形状与面积非常接近的平面单元，在该平面单元中进行单元刚度及内力向量的计算，进一步改善模拟结果的精度。

It includes to turn the mature and development into growth and promotion, the biogenetic and physiology into mental and mend-nature, the linear development into overall extension, and the plane extension into vertical elevation.

这包括把着重于成熟和发展转向着重于成长和提升，把着重于生物和生理转向着重于心理和心性，把强调心理的直线发展转向于全面扩展，把强调心理的平面扩展转向于纵向提升。

Then interpolating cubature formulae is given based on Lagrange interpolation formulae. Secondly it make use of the cubature formula on the triangle to construct cubature formulae on the correspondent spherical triangle.

通过把其定义域上的积分化为平面单纯形{u =(u1， u2， u3)： u1 + u2 + u3 = 1， u1， u2， u3〉0}上的积分，然后利用平面单纯形上数值积分公式给出其在球面三角形上的对d次齐次多项式精确成立的Gauss求积公式的构造方法。

The whole process is discontinous and can be thought of as finding the grid points on a specified region of the X-Y plane (Think of marking all integer interception points on a paper). Convert each grid point's X and Y coordinate to exponential values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长，所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid，如果你不太明白，想成方格纸或我们把平面上所有整数交点都打个点，就是那样)，每个格子点的 X 跟 Y 经过换算(如 2^x， 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

The whole process is discontinous and can be imagined as finding grid points on a specified region of X-Y plane (Think of marking all interger interception points on a paper). Convert each grid point's X and Y coordinate to expontntial values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长，所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid，如果你不太明白，想成方格纸或我们把平面上所有整数交点都打个点，就是那样)，每个格子点的 X 跟 Y 经过换算(如 2^x， 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法，即通过把位场数据曲化平视为平面位场数据向上延拓的反问题，得到曲化平的线性积分方程，再把曲面上位场数据视为曲面平均高程面上的位场数据，利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上，再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正，最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据，并进行迭代。

According to the transnational periodically symmetry of crystal plane in its space,the author introduce the Thomas-Fermi equation in crystal planar channeling electric fields;then calculate the electric fields of single crystal Si(110)and its critical angle.

根据同一晶向的晶面具有平移周期对称性，将托马斯费米方程引入晶体的平面沟道中求解Si(110 )平面沟道内的电场；然后把求得的结果用于计算平面沟道临界角。

Since the near plane is now defined in NDC coordinates, Mapping the NDC near plane to match the texture image would require scaling by 1/2, then biasing by 1/2, in both s and t.

因为近平面被定义为NDC坐标。把NDC坐标↓菂近平面对应到纹理圖象上需要把s禾扣t方向菂坐标都缩小1/2，然后平移1/2。

Title Authorware puzzle Puzzle is a kind of game which solves problems of spaure space-filling and arrangment. The game requires players to group local design, and put all chips together to form a geometric surface, the plane will show the complete pattern .

题目 Authorware 拼图游戏拼图游戏是一种解决平面空间填充和排列难题的游戏，要求玩家将局部图案进行拼组，把全部零片拼接起来构成一幅几何平面，平面上将展现出完整的图案。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人