逆的

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

Meantime we also get the explicit construction of pseudo-inverses of bordered matrix and obtain many new results.

本章所使用的主要工具是QQ-SVD，其中在研究加边矩阵{1，3}-和{1，4}-逆时，又使用了构造特殊非奇异矩阵的技巧，给出了加边矩阵{1，3}-和{1，4}-逆的显示结构，并进一步得到了加边矩阵伪逆的显示结构，获得了许多新的结果。

Bordered matrix has very wide applications in the matrix theory, many specialists and scholars had studied bordered matrices before.

本节在P-SVD中通过构造特殊的非奇异矩阵，详尽地揭示了两个矩阵乘积{1，3}-和{1，4}-逆的结构，从而最终解决了两个矩阵乘积{1，3}-和{1，4}-逆的反序律，并得到了两个矩阵乘积伪逆反序律的一个新的等价性条件。

This paper introduces the sufficient conditions of the similarity between someparticular block matrix on the division rings.

给出除环上某些特殊块阵的相似的充分条件，并具体给出了对于除环上n阶阵A和B，AB与BA的群逆都存在的充分必要条件，并推广了Cao等人"在两个矩阵乘积群逆的逆序法则"文章中一个结论。

Experiment 3: Affections of Ginger Extraction on Cardiac Systolic/Diastolic Function of Rabbits with Heart Failure and the Comparison Between Ginger Extraction and 4-Retro-decoction (Si-hi Tang,四逆汤) Method 50 pure-breed New-Zealand rabbits were randomly allocated into 5 groups: control group, low (0.028mL/kg), middle (0.056mL/kg) and high (0.112mL/kg) dosage Ginger group, and 4-Retro-decoction group. The heart failure model of rabbit was established by intravenous administration of 20g/L pentobarbital sodium (0.15 mL·kg〓·min〓) at a certain rate. Oral tube perfusion of Ginger extraction was administrated after the establishment of the model. Their hemodynamic changes were detected before and after the model establishment, and at 5, 10, 15, 20, 30, 45, 60, 90, 120, 150 minutes respectively after the ginger administration by a RM-6000 4-graph physiological monitor.

干姜提取物对兔急性心衰模型心脏功能及血流动力学的影响及其与四逆汤作用的比较方法以50只纯种新西兰兔为研究对象，随机分为低、中、高剂量干姜组，溶剂对照组和四逆汤对照组，共5组，以0.15mL·kg〓·min〓静脉恒速给予20g／L戊巴妥钠的方法建立兔急性心力衰竭模型，造模成功后，经口插管入胃灌服受试品，用RM—6000四道生理仪测定造模前、造模成功时及用药后5min、10min、15min、20min、30min、45min、60min、90min、120min、150min兔的心肌舒缩性能指标，观察各时段指标的变化情况。

This paper characterizes all additive maps from Hermitian matrix space H_n to full matrix space M_n preserving inverses of matrices. It is shown that every additive map f:H_n→M_n preserving inverses of matrices is of the form f=eP~(-1)X~σP for all ?

本文刻画了所有从Hermite矩阵空间H_n到全矩阵空间M_n的保逆加法映射，证明了每一个保逆的加法映射f：H_n→M_n是f= eP~(-1)X~σP或者f= eP~(-1)~σP这种形式，？

In chapter three, we first give the definition of quadratic automata (3. 6 definition), then study their invertibility. 3. 10 theorem gives a sufficient and necessary conditions for weak inverse quadratic form finite automata, and a way to find the one whose weak inverse is quadratic form finite automata.

第三章首先构造了二次型有限自动机类（3.6定义），研究其上的可逆性理论。3.10定理给出了弱逆二次型有限自动机的充要条件及弱原逆的求法、3.12定理则给出了弱可逆二次型有限自动机的充要条件及弱逆的求法。

In addition, we'll discuss the relationship between the weighted Moore-Penrose inverse of a matrix and its bording and give the determinantal expression of the weighted Moore-Penrose inverse.

另外，在矩阵具有加权Moore-Penrose逆的基础上，讨论了交换含幺环上它的加权Moore-Penrose逆与加边矩阵的关系，并给出加权Moore-Penrose逆的行列式表示。

In addition, well discuss the relationship between the weighted Moore-Penrose inverse of a matrix and its bording and give the determinantal expression of the weighted Moore-Penrose inverse.

另外，在矩阵具有加权Moore-Penrose逆的基础上，讨论了交换含幺环上它的加权Moore-Penrose逆与加边矩阵的关系，并给出加权Moore-Penrose逆的行列式表示。

In this part, we mainly mention the history and some applications of generalized inverses, development and generality of singular value decomposition, list the main results and the innovation of this paper.

本文通过分别构造特殊的非奇异矩阵，得到了{1，3}-和{1，4}-逆的反序律，系统地解决了加边矩阵M=的广义逆问题，并给出了分块矩阵关于广义逆块独立的等价性条件。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。