可逆的

We suppose that C is a category with involution *, a is a morphism of Category C, h and k are inversive symmetrical morphisms of category C. If there is a morphism x, satisfyingthen x is called a general Moore-Penrose inverse of a on morphism h and k .

设C是具有对合*的范畴，α是范畴C的态射，h，k为范畴C的可逆对称态射，如果存在一个态射x，使得则称x为α的关于h，k的广义Moore-Penrose逆，记为α_~+。

We not only give a new Jordan canonical form J under consimilarity, but also give a practical method finding the Jordan canonical form J, and for any square complex matrix A, we also give a method finging a nonsingular matrix S such that 〓.

不但从理论上给出复矩阵的一个新的若当标准形，而且还给出了相应复矩阵若当标准形的计算方法。进一步地，我们不但给出求一个复矩阵A的合若当标准形J的简单方法，而且还给出一种求相应合相似可逆矩阵S的算法。

In the heat and mass transfer process between liquid desiccant and air, the flow rate and heat inject/exhaust are both important factors to approach a reversible process.

吸湿性溶液与空气的热质交换过程既有热量的交换又有质量的交换，提高该过程的可逆程度是提高溶液除湿空调系统性能的重要手段。

The nautre of ester bond and sedimentary medium condition control the distribution pattern of organic acid ester in strong reductional environment and water-washed oxidized crude oils. The former features higher contents both of 9, 11-Octadecadienoic acid, methyl ester and Hexadecanoic acid, showing the non-reversible hydrolysis reaction of ester bond in condition of basicity; the later features higher contents of Hexadecanoic acid and Octadeanoic acid, and lower contents of nonsaturated and side-chain acid ester, indicating the reversible hydrolysis reaction of ester bond in acid condition.

酯键的化学性质和沉积环境中介质条件，决定了强还原咸水盐湖相和淡水湖沼相经水洗氧化次生变化的原油有机酸酯的分布特征，前者9，11-十八二烯酸甲酯与正十六烷酸为主，反映酯键在碱性条件的不可逆水解过程，后者以正十六烷酸和正十八烷酸为主，烯酸和支链酸很少，反映酯键的酸性条件的可逆性水解，烯酸经氧化向正十八烷酸，正十六烷酸转化。

On the base of the analysis about the cause why this type of systems is hard to be controlled a new FNN, the FNN based on hyper-cylinder clustering, is presented. By comparison with the FNN based on hyper-sphere clustering, for any sample to be clustered, the FNN based on hypercylinder takes not only its input sample but also its output value into consideration. And so it is impossible for any two samples with'close'input samples and'estranged'output values to be clustered in the same cluster.

借助于对非线性系统模型Ⅱ不可逆情形下难以控制原因的分析，提出了基于超柱体聚类的模糊神经网络，与基于超球聚类的模糊神经网络相比，这种模糊神经网络在聚类时不仅考虑样本中的输入向量，也考虑样本的输出值，因此不会将输入向量较接近而输出值差异较大的两个样本聚为一类。

These matrices are the inversive constant ones and have the size as the same as the length of the signal.

利用基于推选体制的小波变换实现算法，构造出了与具有紧支集的双正交小波滤波器对应的小波变换和逆小波变换的算子矩阵，这些矩阵是大小与信号长度相等的可逆常数矩阵。

As an example of the application of some knowledge of Linear Algebra,this paper discusses the application of an invertible matrix in secure communication,some basic problems of this application,and the solutions to these problems.

作为工科&线性代数&课中相关知识的一个具体应用的例子，从理论与实践相结合的角度论述了可逆矩阵在保密通信中的应用及其存在的问题与对策等。

The hypothesis on the equivalence in non conservative system is set up for irreversible process on the basis of bring\|in of the nonconservative noninertial system;and the hypothesis on the covariance in non conservative system is put forth for the space time with complex action on the basis of bring\|in of the ultra gauge.

在引入非保守非惯性系的基础上对不可逆过程建立非保守系等效性假设，在引入广域度规的基础上对具有复杂行为的时空建立非保守系协变性假设；利用密度分布的不均匀度h和粗粒熵S及推导的多标度因数η计算式，引入非保守惯性质量和非保守引力质量。

In the nature of physics,it consists with human's cochlea filter properties;in the sense of mathematics,Bark wavelet transform is a kind of non orthonormal but overcomplete,reversible and self inverting wavelet transform.

在感知特性中，它与人耳的听觉系统是直接吻合的：在数学上，它是一种非正交的但却是超完备的，可逆且是自反演的子波变换。

The index of average density spatial energy relative time-space cosmic energy follow the rise and fall of quantum spatial measurement, at original cosmic time-space set out, from 1 come to do not exceed 2, not smaller 4/3, come to do not symmetrically gradually belong to stabilization thus at reductively fluctuate, not can reversely strides across reach 3/2 that stable state maintain unchanging.

宇宙能量的相对时空空间的能量平均密度指数随宇称量子的涨与落，在原初的宇宙时空启动，从1成不大于2，不小于4/3，成不对称地递归于稳定而在缩小地波动，不可逆地跨越到3/2的稳定状态保持不变。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。