从理论上讲，通过坐标轴旋转将二次方程化简为规范形式，从而讨论其曲线的形状，这已是讨论得相当明了的课题。
Theoretically speaking, it is a rather-clearly discussed subject to standardize the quadratic equation into the normal forms by spinning the coordinate axis so as to approach the shapes of its curves.
提出了一种新的基于有理二次样条曲线的图像放大方法。
In this paper, a new method which based on the curves of rational quadratic splines was presented to enlarge images.
它们都有一个起点一个终点图中的蓝点，但二次方贝塞尔曲线只有一个红色控制点点而三次方贝塞尔曲线有两个。
A quadratic bezier curve has a start and an end point (blue dots) and just one control point (red dot) while a cubic bezier curve USES two control points.
与其它方法相比，NURBS方法引入权因子后能精确描述二次曲线，并被工程技术所采用，但存在几何特征不够直观的缺点。
In contrast to other methods, method of NURBS with weights can describe quadratic curve accurately and can be adopted by technology of engineer, but its geometrical characteristics was not obvious.
在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。
In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.
通过对四种二次曲线截面的柔性铰链的理论计算和有限元分析，比较分析了它们的力学特性。
Theory calculate and finite element method to symmetric conic-section flexure hinges is used to compare and analyze their dynamics characteristic.
基于代数演算法的圆弧插补器，只要改变相应的几个寄存器的予置常数，就可直接插补非圆二次曲线。
The Circle Interpolator based on the algebra figuring, if we change only a few preset constants in the register, we can directly Interpolate a quadratic curves.
常规条件下的乙烯动力学为一光滑连续的曲线，在较低温度和较高压力下会有二次成核现象；
The kinetic curves of ethylene in gaseous condition are very smooth with second nucleation happened in lower temperature and higher pressure.
成形压力沿半径方向呈不均匀分布，可用线性或二次函数曲线进行近似表示。
The pressure distributing law is non-uniform along radius direction, which could be expressed approximately as the linear or quadratic function curve.
虚圆点实际上是一退化的二次曲线。
数值计算结果表明，薄片的少子光电导衰退曲线可以用这种解的一次模和二次模之和来表示。
The numerical results show that the photoconductive decay curve for minority carriers of the wafer can be expressed by the sum of the first mode and the second mode of this solution.
利用《高等几何》的观点、方法解决《解析几何》中的二次曲线的切线的存在性与求法问题。
To solve the problem about determinant and solution to tangent line of curve of second order in Analytic Geometry with viewpoint and methods of Higher Geometry.
反馈部分为参数自调整模糊控制器，终点的计算采用二次曲线拟合法。
Feedback control is a parameter self tuning fuzzy controller and the burn through point is calculated by quadratic curve method.
通过对离散点进行短线段拟合的基础上，再利用曲线拟合的最小二乘法对圆和直线进行二次拟合。
On the basis of short straight-line fitting, this dissertation USES the least-square method of curve matching to discern circle and straight line.
结论表明，捕食者的最优交易策略为时间的二次曲线形式，并且捕食交易利润是瞬时冲击系数的单调减函数。
The conclusion shows that the optimal strategy of predator is the quadratic equation of time and the profit is the descending function of temporary impact coefficient.
将“蝴蝶定理”推广到一般二次曲线上进行讨论，并给出了新的“蝴蝶定理” ，它弥补了古典“蝴蝶定理”的不足，使“蝴蝶定理”得到了更加广泛的应用。
Applying the theorem to conical curve, one can get a new "Butterfly Theorem" which makes up for the deficiencies of the classical one and widens its scope of application.
通过构建环境库兹聂兹二次曲线，依托计量软件，确定拐点出现的时间和经济基础。
Construction of the environment through the Environmental Kuznets Curve, relying on metering software to determine the inflection point of time and economic base.
同时它还能精确表示圆弧、椭圆弧等二次曲线，推广到空间即可以表示旋转曲面。
Also the curves can express the circle arc and ellipse arc and can construct rotate surfaces.
据此，推出具有空间曲线的异型截面构件的三维造型数学公式，可供产品设计及绘图软件二次开发使用。
And then the math formulae for three dimensional moulding of a special section member with space curves have been derived which could be used for product design and development of drawing software.
通过对离心式水泵高效工作区的性能曲线进行二次拟合，分析了离心式水泵机组并联调速运行特性。
The parallel-connection and variable-speed operation characters of the centrifugal pump groups are studied by conics fitting of the character curves in the high efficiency area.
平面解析几何对“求过二次曲线外的点所引曲线切线的方程”的问题，未给出一般的方法和公式。
The problem of attaining the tangent equation of a certain point on a quadratic curve is basically solved in plane analytical geometry.
在二次损失函数下，研究了增长曲线模型误差方差的非齐次二次型估计的可容许性问题。
The admissibility of non-homogeneous quadratic form estimate of variance on the growth curve model was studied under quadratic loss function.
比较了发电费用曲线为二次曲线时新的定价方式与已有定价方式的关系。
When the generation cost function is quadratic curve, the new bargaining is compared with the former one.
利用拉格朗日乘子法求解二次曲线和二次曲面之间的最小距离，给出了曲线与曲面相切的条件。
With the Lagrange multiplier method, the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given.
首先，从二次函数在一点的最速下降方向出发定义二次函数过一点的最速下降曲线；
In this paper, the steepest descent curve of quadratic function through one point was first defined from the steepest descent direction of quadratic function at one point.
论述了基于曲线合成插补理论的反向合成插补理论，研制出直线和二次曲线切割加工控制程序。
A backtracking interpolation theory based on the synthetic interpolation theory was expounded, a controlling program used to cutting straight line and quadratic curve has been developed successfully.
提出利用有理二次样条曲线插值整体曲率连续的曲线的一种方法。
A method for interpolating global curvature continuity curves with conic segments is presented in this paper.
结果表明，方法误差与随机噪声的性质有关：在本底噪声为主时，二次曲线拟合法精度高，计算量小。
The result shows that the parabolic fit method has a high precision with fewer computing time when the background noise is the main noise source.
结果表明，方法误差与随机噪声的性质有关：在本底噪声为主时，二次曲线拟合法精度高，计算量小。
The result shows that the parabolic fit method has a high precision with fewer computing time when the background noise is the main noise source.
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