查询词典 tangent function

In this paper, a series of lunar map projection formulas are deduced including azimuthal projections, cylindrical projections and conical projections. The lunar map projections software is compiled. By caculating lunar map projection distortions, their projection distortion rules are found. Base on the lunar exploration mission, the lunar map projection scheme is given in this paper. The azimuthal conformal projection or the circumcenter perspective azimuthal projection is usually used in small areas, especially in two poles. When the whole map of the moon is needed, the azimuthal conformal projection or the circumcenter perspective azimuthal projection is used within 10° in the poles, and the traverse tangent cylindrical conformal projection or the normal secant conical conformal projection can be used in else areas, furthermore, band-division is necessary to reduce the projection distortion.

本文推导了基于月球参考球的各种投影公式，主要包括方位投影、圆柱投影和圆锥投影；编制了月球地图投影计算软件；对多种月球的投影变形进行了详细的计算，总结分析了各种月球投影的变形规律；结合月球探测的需要，给出了月球投影方案的建议：对于局部的面积较小的投影区域，建议使用等角方位投影或外心透视方位投影；如果绘制月面全图，在两极10°范围内采用等角方位投影或外心透视方位投影，其余区域可以采用等角横切圆柱投影和等角正割圆锥投影，并且要进行分带处理。

We have also investigated the saturation magnetization, squareness, coercive force, dielectric constant and dielectric loss tangent.

同时测量了材料的饱和磁化强度、矩形比、矫顽力、介电常数与介电损耗。

The methods of development for cones and tangent surface on C-Bézier curve and the complex surfaces are obtained.

首先，构造了C-B？zier曲线上的锥面和切线曲面，分别建立了它们到平面的等距映射，给出了C-B？

"F" is the distance between point P' and the tangent to the concave area in the maximum point of concavity measured in projection view on the plane of symmetry Y.

"f"为在对称面Y上的投影视图上测量的点P'和最大凹状点上的对凹入区域的切线之间的距离。

On the basis of brief introduction to fundamental theory of FD8, a new algorithm to accurately calculate the effective contour length in the accumulated flow partitioning involved in 1n computation by using internal tangent circle on conical surface method was proposed.

本文首先介绍了多流向算法的基本原理，并基于此对流动累积分配中的有效等高线长度精确计算提出了几何锥面内切圆算法，同时改进了传统的地形指数中单位等高线汇流面积α的计算方法，增强了多流向算法对DEM中异常栅格的处理能力。

The tangent space and normal space of the robot motion curve is constructed by using Newton-Euler orthogonal method, which satisfies the restrictions of linear and angular momentum conservation of free-floating space robot system. An analytical expression of joint actuation torque in the floating state is given by using this method.

根据空间机器人自由漂浮状态时系统动量守恒的特点，采用Newton-Euler正交方法构建了满足系统动量守恒约束条件的空间机器人运动曲线法空间与切空间基底，并以此基础得到了自由飘浮状态下的空间机器人关节力矩的显式表达式。

Al. can not be directly used in our case, we employ the sympatric property of subdivision matrix to process analyzing, and finally find out the convergence condition and sufficient tangent continuity condition.

这里的创新点在于把静态细分扩展到动态以及旋转面的局部生成。

First, the relative curvature of a certain curve at its first end and the directional angle of the first port tangent vector of that curve as well as the weight factor of the interpolation curve are given, then all the other control vertexes can be gotten by using the conditions of G continuity, and a method to construct transitional curves is also introduced so that we can get the closed interpolation curve which achieves G continuity globally.

首先给定某段曲线的首端相对曲率和该段曲线的首端切矢量的方向角以及插值曲线的权因子，然后利用G2连续条件求出其余控制顶点，并给出了构造过渡曲线的方法，得到了G2连续的闭插值曲线。

Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent); Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations); Uses properties of and relationships among figures to solve mathematical and real-world problems e.g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center

数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心

First, the paper introduces the moving coordinate system based on the curve tangent vector and the curvature component vectors. Next, the total curvature vector is composed and the osculating plane determined in the moving coordinate system. The curve bending is then calculated and the recursion analysis made on the osculating plane.

鉴于空间曲线上曲率采集面的变化，引入了由曲线切向量和曲率分量决定的运动坐标系，接着在运动坐标系中合成曲率矢量，确定密切平面，然后在密切平面中对曲线进行弯曲计算和运动坐标系的变换分析，并对相关公式进行了推导。

This matter overthrew all basises I learned from Sunday school .

这件事把我从周日学校学到的所有道理都颠覆了。

It's one of the cruel ironies of aging: if you want to remember your favorite restaurants, the less you should eat at them.

这是一个老化的残酷讽刺：如果你想记住你最喜欢的餐馆，你应该更少吃到它们。