查询词典 algebraic equation

This article takes the teaching of conic sections as an example. By designing worksheets, teachers can introduce the historical material about conic sections to students. By way of using Apollonius' definition of parabola, ellipse and hyperbola, teachers can introduce the geometric aspect of "conic section" to students. By using the concept of " latus rectum " in Conics , we can connect "conic sections"-- representation of geometrical aspect, with "the equation of conic sections"-- representation of algebraic aspect to improving insufficiency of text books.

同时本文也试著从历史文本中寻找材料，简单举例说明数学教师可以如何应用这些史料在几何单元教学上，例如三角函数的正余弦定理，最后再以圆锥曲线的正焦弦为例，说明如何利用数学史料於此单元的教学，尤其是阿波罗尼斯的《锥线论》中对圆锥曲线的3个命题，将此3个命题的内容与意涵，尤其是正焦弦在圆锥曲线的几何意义上所扮演的角色，将其适当地融入教学中，将可使学生真正学习圆锥曲线的几何知识，而不再只是代数形式的几何知识。

At the same time, the AH-stability of θ-methods for the linear delay algebraic-differential equation is derived.

在对线性延迟微分代数方程θ-方法的AH-稳定性的研究中，给出了方程解析解渐近稳定的一个充分条件。

Then the integral equation for determining the unknown forces in the problem can be changed into the algebraic one and solved numerically so that crack DSIF can be determined.

其次，推导了圆孔、裂纹对SH波散射的定解积分方程组，进而求得裂纹尖端动应力强度因子。

We apply the method to Boussinesq equation and combine Wu algebraic elimination method, many new exact solutions are obtained.

把它应用到Boussinesq方程上去并和吴方法结合在一起获得了新的精确解。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

Each new kind of number has presented itself as the root of an equation that we were supposed to solve, and with the introduction of each number the power and generality of our algebraic method was increased.

每一种新的数，都是我们想解答的方程的根的代表。而随着每一种新的数的出现，我们的代数的功能和适用性都得到了增强。

As we know, the resulting algebraic equations are large systems of non-linear equations with the expanded mixed finite element method for the equation.

用扩张混合有限元方法对其进行离散是常用的方法，其离散化所获得的代数方程组是一很大的非线性方程组。

In Chapter 3,the exponential stability and its algebraic criteria for a linear degenerate functional differential equation is discussed.

第二章在n维空间中讨论了中立型多时滞泛函方程的通解表示和指数稳定性，得到与一维空间中类似的结论。

In Chapter 4,we study further the exponential stability and its algebraic criterion for a linear neutral degenerate functional differential equation.

第三章考虑了一类线性退化多时滞泛函微分方程，给出了解的指数稳定及其指数稳定的代数判据。

In the case ofreflectionlessness,after determining the gauge transformation,expressions of multi-soliton solutions of the L-L equation with an easy plane are obtained explicitly bysolving the linear algebraic equations with the aid of the well-known Binet-Canchyformula.

由于要克服因Jost解在参数趋于无穷时不独立于L-L方程的解的困难，必须引进规范变换，这是不涉及微分方程的Riemann问题方法无法解决的。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。