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本文的主要新工作在于:利用一般多项式表示标准四元数多项式方程的解; Our important new work is: expressing the solutions of the standard quaternionicpolynomial equation with general polynomial; | ||
进行各种有理式计算,求多项式、有理式方程和超越方程的精确解和近似解。 Various RATIONAL, polynomials, RATIONAL Exact solutions of equations and transcendental equations and approximate solutions. | ||
同时给出了关联实验结果的多项式方程的各参数。 The parameters of polynomial equation for fitting the experimental results are also reported. | ||
考虑阻尼力后,结构的特征方程应有复数根,因而通常用于求解多项式方程实数根的二分法不再适用。 The consideration of damping force leads to a fact that there exist complex roots to the characteristic equation for the structures. | ||
一般多项式都可以展开为正交多项式的级数形式,而勒让德多项式、厄米特多项式和拉盖尔多项式都是典型的正交多项式。 All ordinary polynomials have series expansion of orthogonal polynomials, while Legendre polynomials, Hermite polynomials and Laguerre polynomials are special orthogonal polynomials. | ||
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。 The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper. | ||
利用初等方法及拉盖尔多项式的生成函数给出一类包含拉盖尔多项式的恒等式。 The main purpose of this paper is using the element ary method and the generating function of Laguerre's Polynomials to give some id entities involving Laguerre's Polynomials. | ||
方程是一病态积分方程其解很不稳定。 This equation is ill-posed and its solutions are extremely unstable. | ||
今天的例子是评测一个三次多项式。 Today's example function is evaluating a third order polynomial. | ||
建立的尾流再附动力学模型包括:伞系统运动方程、尾流运动方程、伞衣-尾流动量交换方程。 The model includes three parts: equations of the motion for the parachute-store system, equations of the motion for the wake, equations of the momentum transfer between parachute and wake. | ||