查询词典 pure imaginary

This paper studys the stability of nonlinear systems in two particular critical cases. In a case, the linear systems at the equilibrium point of interest is assumed to possess a simple zero eigenvalue. In the other case, it is assumed to possess a complex conjugate pair of simple pure imaginary eigenvalue.

本文基于中心流形定理研究了非线性系统在两种特殊临界情形下的稳定性问题，一种是与它相应的线性系统在平衡点仅有零特征根，另一种是与它相应的线性系统在平衡点仅有一对共轭的纯虚数特征根。

If a is zero, the number is called a pure imaginary number.

如果a为0，这个数就称作纯虚数。

With the aid of theory of normal form, the explicit expression of normal form for the averaged equations associated with a pair of double-zero eigenvalues and a pair of pure imaginary eigenvalues is given by using Maple program.

利用规范形理论和Maple符号程序，获得了一对双零特征值和一对纯虚特征值情况下平均方程的规范形。

We have performed a detail analyze on the evanescent modes. The longitudinal wavevector kx is found to be complex rather then pure imaginary.

我们做了仔细的evanescent modes分析，在能量低於副带底的时候，纵方向波量kx被发现是复数而非存虚数。

It shows that any zero must be pure imaginary.

它证明任何的零点必须是纯虚数。

A special case,that the effective Fresnel number turns out to be a pure imaginary number,was discussed,and it is indicated that the simple formula evaluating the relative focal shift is still valid in this case.

还讨论了一种特殊等效菲涅耳数为纯虚数情况。结果证明，在这种情况下，该相对焦移简单公式仍然有效。

Inference from here, what imaginary number Ict expresses is an unreal, it can writect,=I pure imaginary number form, also namely it and the part of solid space

由此推论，虚数Ict所表达的是一个虚空间，它可以写成ct，=I的纯虚数形式，也即它与实空间的部分

Since the eigenvalues of JM may be real, or pure imaginary, or some are real and others are imaginary, the presived tori may be hyperbol

我们考虑如下的依赖于参数的Hamilton系统：在以上假设下，我们证明了系统(3)的双曲不变环面大多数在摄动之下可以保持下来，并且频率可以是预先给定且可以保持不变的。

The multiple method of scale is used to obtain the averaged equations in primary parameter resonance. From the averaged equations, the theory of normal form is applied to find the explicit formulas of normalform associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the Maple program.

利用多尺度方法得出了主参数共振情况下的平均方程，利用Normal Form理论对具有双零特征值和一对纯虚特征值的平均方程进行了简化，得到了平均系统的Normal Form。

But the space is the matter, the matter is the string vibration, only has from this the time which vibrates f=1/T to draw out only then has the physics significance, therefore T is in the true significance time, from this deduction: What imaginary number Ict expresses is void, may write *ct,=I pure imaginary number, also is it with Number space Sigma (x1i*x2j)(i, j is subscript, i=j=1,2,3) differs 90 in the space, the shape for example: Psi ==a+Ib, constitutes a duplicate space by psi i* psi j,(definition mark * for ordinary multiplication) may use Four single numbers

而空间就是物质，物质就是弦的振动，只有从这个振动f=1/T引出的时间才有物理意义，所以T才是真正意义上的时间，由此推论：虚数Ict所表达的是一个虚空间，可以写成*ct，=I纯虚数，也即它与实空间Σ(x1i*x2j)(i，j为下标，i=j=1，2，3)在空间上相差90度，形如：ψ==a+Ib，由ψi*ψj构成一个复空间，可用四元数

The basic concept of FOP can be summarized as to further optimize effective prescription according to the standard of curative effects and with the aid of modern science and technology and theories of traditional Chinese medicine.

其基本内涵可概括为：以确有疗效的中药复方为研究对象，以现代科学技术和传统中医药理论为技术支持，以该复方所治病证的药效响应为评价标准，以优化重组疗效更优的新复方为研究目的。

Ever since our world has been a world, native forests have been indiscriminately exploited by man.

自从我们的世界一直是世界原生森林被任意剥削人。