Either the matrix is invertible.
矩阵是否可逆的两种。
Are Infinite Dimensional Spheres Invertible?
无限维球面可逆吗？
Or, if a matrix is not invertible, then you have infinitely many solutions.
或者矩阵不可逆时，有无穷解。
So when 2 is invertible, this can be used as the definition of a quadratic form.
所以在2是可逆的时候，这可以用作二次形式的定义。
An orthogonal matrix is an invertible matrix for which the inverse is equal to the transpose.
正交矩阵是可逆矩阵，其逆矩阵等于其转置矩阵。
The mixing system is composed of a linear convolution followed by an invertible nonlinear distortion.
混合系统由线性卷积混合后接一个可逆非线性失真组成。
Utilizing the stretch and fold mechanism, an invertible map set based image encryption algorithm is proposed.
利用拉伸和折叠的原理，提出了一种可逆映射集合的图像加密算法。
Moreover, the resolving scheme of the invertible matrix problem involving the time domain iteration is presented.
此外，提出的的可逆矩阵问题涉及的时间域迭代的解决方案。
Some results related to invertible matrices over bounded distributive lattice are generalized to matrices over incline.
将有界分配格上可逆矩阵的有关结果推广到坡上的矩阵。
This dissertation gives necessary and sufficient conditions for 2-torus parabolic maps to be invertible, which improves p.
本文首先给出了二维环面上抛物型映射可逆的充分必要条件，完善了P。
Some striking examples of this are thegroupof invertible linear maps ormatrices, and theringof linear maps of a vector space.
一些引人注目的例子是集团的可逆线性映射或矩阵，和环的线性映射的向量空间。
Further, in this paper the sufficient and necessary condition for the duality of this linear invertible transform is obtained.
得出了这类线性可逆变换存在对偶性的充分必要条件。
Due to derivation is invertible, in this sense, one have already completed the derivation for all 8 important water drive curves.
由于推导是可逆的，从这个意义上说，也完成了全部8种重要水驱特征曲线的推导。
The parameter estimation problem to the invertible vector moving average (ma) model essentially is a matrix spectral factorization problem.
可逆的向量滑动平均(MA)模型参数估计问题本质上是一个矩阵谱分解问题。
This paper proposes an invertible semi-fragile video watermarking algorithm using a hash function to authenticate the MPEG-4 video contents.
提出了一种运用哈希函数进行MPEG-4内容认证的半脆弱可逆视频水印算法。
We now construct a class of signed invertible graphs, and obtain the condition of equivalence of their signed inverse graphs′being balanced graphs.
构造了一类符号可逆图，并给出了这类图的符号逆图是平衡图的充要条件。
The linear operators that strongly preserve invertible matrices over some antinegative commutative semirings with no zero divisors were characterized.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
A scheme, which can be used to effectively improve the quality of time_delayed feedback control of chaos, was proposed based on linear invertible transform.
基于线性可逆变换方法，提出一种有效提高延迟反馈法控制混沌的方案。
In the second part, we study the structure of feedforward inverse finite automata in general case, and we also discuss the structure of weakly invertible finite automata.
在第二部分中，我们研究了较一般情形下前馈逆有限自动机的结构，并且讨论了弱可逆有限自动机的结构。
And then, we have two cases. So, the case where the system is invertible corresponds to the general situation where your three planes somehow all just intersect in one point.
有两种可能，一是方程组可逆，这就是一般情况了，这时三个平面交于一点。
This paper discusses the duality of this kind of linear invertible transform, and gives the general expression for the duality between the transform and the inverse transform.
本文讨论了这样一类线性可逆变换的对偶性，给出了正反变换之间对偶关系的一般表示式；
In this paper, we prove that invertible dynamic feedback linearizability is equivalent to linearizability by adding integrators for up to 4 dimensional affine nonlinear systems.
本文证明对低于4维的仿射非线性系统，可通过可逆动态状态反馈线性化的系统一定可通过加积分器线性化。
A square real matrix a is called an S2NS matrix, if every matrix with the same sign pattern as a is invertible, and the inverses of all such matrices have the same sign pattern.
一个实方阵a称为是S2NS阵，若所有与A有相同符号模式的矩阵均可逆，且它们的逆矩阵的符号模式都相同。
In the age of Internet, there is a invertible fact that the traditional media such as newspaper, magazine, radio and television, have established their websites one after another.
互联网时代，报纸、杂志、广播、电视等传统媒体纷纷触网，这是一个不可逆转的事实。
It is very important to investigate the decomposition of weakly invertible finite automata, since it could provide an approach to cryptanalyzing finite automata public-key cryptosystem(FAPKC).
研究弱可逆有限自动机的分解可以为分析有限自动机公开钥密码体制的安全性提供一种重要途径。
The aim of this thesis is to introduce some characteristic phenomena in discontinuous and non-invertible two-dimensional maps, which may be a concatenation of two conservative or dissipative maps.
本论文着重介绍不连续不可逆二维映象中的特征现象，涉及保守和耗散映象的几种不同耦合情况。
Both methods can be solved explicitly by a pseudo-inverse matrix and are of invertible, commutative, and associative properties, which enhance the efficiency and controllability of the manipulation.
两种方法都可以利用广义逆矩阵求得显式解，具有可逆性、可交换性、结合性等优点，提高了曲面形状修改的效率和可控性。
Both methods can be solved explicitly by a pseudo-inverse matrix and are of invertible, commutative, and associative properties, which enhance the efficiency and controllability of the manipulation.
两种方法都可以利用广义逆矩阵求得显式解，具有可逆性、可交换性、结合性等优点，提高了曲面形状修改的效率和可控性。
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