二次曲面

To solve the problem, the method that all the elements of the image of dual absolute quadric are transformed into the same magnitude is proposed.

提出了一种变换法，使对偶绝对二次曲面像的各个元素变到同一个数量级上，可以使求解过程更具有鲁棒性。

An analysis on camera critical motion is given and a conclusion is proposed which clarifies that the critical motion is decided by the ambiguities of the absolute quadric.

通过对相机的临界运动进行分析，指出了相机运动的关键性在于绝对二次曲面求解的模糊性这一结论。

In the classification of QSIC, the notion of affine finiteness of a space curve is put forward.

在对两二次曲面交线的拓扑分类中，本文提出了空间曲线的仿射有限性这一性质。

Content: This course discusses the line, plane and quadratic surface in space through algebraic methods, and aims at developing the students' ability to solve geometric problems through analytic methods and to relate geometric intuitive image with algebraic quantitative relation.

主要内容：本课程运用代数方法研究空间解析几何中的直线、平面与二次曲面，培养学生运用解析方法解决几何问题的能力，以及将几何直观形象与代数数量关系相联系的能力。

A curve on a surface of revolution, formed by the intersection of the surface with a plane containing the axis of revolution.

二次曲面的由二次方程式所定义的几何平面的，或与其有关的

Result Obtained formulas of curved surface of second degree simplified with some conclusion related of polynomials factor decomposition.

结果 得出了二次曲面简化的公式和某些多项式因式分解的相关结论。

Study of the method for controlling the very small distortion of the mask;2. In order to get the distortion of ellipsoidal equipment in space, we can fit the ellipsoidal surface by using coordinates of points spreading around it.

讲述了通用二次曲面拟合的误差方程和法方程的组成，介绍了运用Jacobi变换方法来处理系数相关性问题和法方程的求解，还介绍了将通用系数形式转化为标准椭球方程的方法，从而求得观测坐标系与椭球主轴坐标系之间的关系，最后求得椭球在空间的位置、方向和大小，以及椭球体的形变值。

So the return is realized from equidistant surface to real measurement surface.

针对不同的二次曲面本文提出了不同的误差评定方法。

In the displacement measurement based on the principle of laser interference, the Gaussian quadrics fitting algorithm is used to fix the central position of facula and raise the location accuracy.

在基于两球面波干涉的长度和距离测量实验中，运用高斯二次曲面拟合算法为激光光斑的中心坐标定位，提高了光斑的定位精度。

Massive simulation experiments have proved the correctness and possibility of the fitting algorithm of quadratic surface which is based on general equation.

大量的仿真数据实验表明，本文提出的基于一般化方法的标准二次曲面拟合算法的正确性和可行性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。