四次方程 meaning in English
biquadratic
biqudratic equation
quartic equation
Examples
- Descartes's solution of a depressed quarto equation employs the method of undetermined coefficients .
笛卡儿的分解四次方程的解法采用待定系数。 - Moreover equations of degree higher than quartic often arise in equilibrium calculations .
况且，在平衡计算中常常发生比四次方程还高的高次方程。 - This method is also valid for identifying the circuit and branch defect of first group spatial linkages based on the equivalent of circuit properties of the first group spatial linkages and its equivalent sphere four - bar linkage base on the property of the solutions of quartic equation , the conclusion that the number and order of branch between two adjacent stationary positions of the input link are derived . then , the new method to identify circuits of spatial single - loop linkages with four closures is presented . all types of the manner on which the branches coalesce at the stationary positions of the input link are obtained and the procedures to determine the type automatically are developed
基于一元四次方程解的性质，得到了在输入构件两个相邻瞬时静止位置之间机构的分支的数目和大小顺序不变的结论，进而提出了识别具有四个封闭形的空间单环机构回路的新方法一一死点法，综合出了输入构件位于瞬时静止位置时机构分支结合情况的所有类型及其自动判别方法，研究了由所有结合的分支信息自动生成回路的算法，首次解决了此类机构回路与回路缺陷的自动识别。 - It is shown that a system of linear equations is resolved to obtain the rotational parameters by using of seven couple of conic curves in image sequences when the motion of a rigid object is pure rotational . when the motion of a rigid object is pure translation , a system of non - linear equations is resolved using iterative method , or using the method for resolving quartic equation . the translation parameters with a scale factor may be determined and the translation direction can be obtained
研究结果表明，在纯旋转运动分析中，最少利用图像序列中7条对应二次曲线，可以线性地求解刚体旋转运动参数；在纯平移运动分析中，只需利用图像序列中1条对应二次曲线就可以求解刚体相对平移运动参数(即平移方向) ，分别用非线性迭代法和一元四次方程解法求解了刚体相对平移运动参数(即平移方向) 。