In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代數(shù)中套子代數(shù)的局部導(dǎo)子和局部同構(gòu)以及von Neumann代數(shù)的高維局部映射—局部2-上循環(huán)，證明了因子von Neumann代數(shù)中套子代數(shù)的每一個局部強連續(xù)導(dǎo)子和局部強連續(xù)同構(gòu)分別是導(dǎo)子和同構(gòu)；可數(shù)套所對應(yīng)的套子代數(shù)的每一個有界局部導(dǎo)子和有界局部同構(gòu)分別是導(dǎo)子和同構(gòu)麻豆啪啪视频；同時，部分回答了Larson所提的問題囯产深喉视频一区二区；最后一级毛片久久w，得到von Neumann代數(shù)的每一個局部2-上循環(huán)是2-上循環(huán)。

We prove that the Jordan semi-triple derivable maps of the algebra of all n×n matrices over a 2-torsion free commutative ring with unity is the sum of an inner derivation and A_φ, where A_φis the image of A underφapplied entrywise andφis an additive derivation over R.

證明了作用在一個包含單位元的可交換的2-無撓環(huán)上的矩陣代數(shù)上的擬三重Jordan可導(dǎo)映射是一個內(nèi)導(dǎo)子與A_φ的和(這里A_φ是A在φ下逐點作用的像)香港一级A毛片在线播放。

Methods: We have respectively done correlation analysis including auto-correlation and cross correlation analysis for 10 derivation electrodes＇ and 21 derivation electrodes＇ EEG data, and acquired each derivation＇s result of auto-correlation analysis and symmetrical left with right derivation＇s result of cross-correlation analysis at different condition and event.

分別對10導(dǎo)聯(lián)電極和21導(dǎo)聯(lián)電極的兩組腦電圖數(shù)據(jù)做互相關(guān)和自相關(guān)的相關(guān)性分析色色色国产，得出在不同條件、事件下腦的各導(dǎo)聯(lián)電極的自相關(guān)分析結(jié)果和左右對稱導(dǎo)聯(lián)電極的互相關(guān)分析結(jié)果中国一级黄片播放，最后得出相關(guān)性值隨實驗條件和事件的具體變化又爽又黄按摩视频免费。

First of all, it is proved that if one partial derivation is continuous,the other partial derivation exists,the binary function is differentiable.

首先證明了當二元函數(shù)的一個偏導(dǎo)數(shù)存在，另一個偏導(dǎo)數(shù)連續(xù)時99久久久国产一区二区三区，函數(shù)可微下载黄色一级网站视频。

In section 2 ,if one Lie colour algebra can be decomposed to direct sum of two ideas ,the same as the center.And when the center is zero , the derivation and the inner derivation can be also decomposed .Lie colour algebra L is complete if and only if its two ideas are both complete .

第二部分首先討論了若李color代數(shù)L可以分解為兩個理想的直和，則中心也可以分解為兩個理想的直和美女张开腿黄网站免费直播，而且當中心為零時導(dǎo)子和內(nèi)導(dǎo)子也有同樣的理想直和分解日本人成精品视频在线，并且L完備的充要條件是兩個理想都完備A片一区。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有沒有高手可以幫我翻譯下這段話啊黄色WWWXX？女人高潮毛片？？引入位移算子欧美大片www、求導(dǎo)算子黄色网站一012、積分算子和差分算子等微積分算子的定義及其形式運算，將其應(yīng)用于近似求導(dǎo)公式日韩av免费a片网站；給出牛頓一柯特斯公式和伯恩斯坦定理的算子法表示你懂得福利影院在线观看，并進行形式推導(dǎo)；給出線性常微分方程的算子解法久久999wwwww。

In chapter 3, Jordan derivations and Jordan isomorphisms of nest algebras are investigated. It is proved that every Jordan derivation of nest algebra is an inner derivation. Every Jordan isomorphism between nest algebras is either an isomorphism or an anti-isomorphism. Finally, a norm estimate for derivations of nest subalgebras of von Neumann algebras is given, and it is shown that every nest subalgebra of factor von Neumann algebras has property AIP .

第三章研究了套代數(shù)上的Jordan導(dǎo)子和Jordan同構(gòu)999超碰，證明了套代數(shù)上的每一個Jordan導(dǎo)子都是內(nèi)導(dǎo)子；套代數(shù)之間的每一個Jordan同構(gòu)要么是同構(gòu)要么是反同構(gòu)欧美黄色A精品；最后給出了因子von Neumann代數(shù)中套子代數(shù)上導(dǎo)子的一個范數(shù)估計欧美VA影院，同時也證明了因子von Neumann代數(shù)中的任何一個套子代數(shù)都具有AIP性質(zhì)。

Secondly, we discuss generalizedderivable mappings at unit and Jordan derivable mappings at unit on Von Neumannalgebra, and we prove that every norm continuous linear mapping generalized deriv- able at unit is a generalized inner derivation, every norm continuous linear mappingJordan derivable at unit is a inner derivation.

其次對Von Neumann代數(shù)M上的在單位廣義可導(dǎo)和在單位Jordan可導(dǎo)的線性咉射進行了討論射射射网站，證明了在單位廣義可導(dǎo)的范數(shù)連續(xù)的線性映射是M上的廣義內(nèi)導(dǎo)子全免费的黄色网站，在單位Jordan可導(dǎo)的范數(shù)連續(xù)的線性映射是M上的內(nèi)導(dǎo)子。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie導(dǎo)子的特征表示一级欧美片免费播放视频，即套代數(shù)上的任何一個Lie導(dǎo)子都是內(nèi)導(dǎo)子與廣義跡之和欧美性爱巨吊；給出了Lie同構(gòu)和同構(gòu)及反同構(gòu)之間的關(guān)系，即因子von Neumann代數(shù)中套子代數(shù)之間的任何一個Lie同構(gòu)要么是同構(gòu)與廣義跡之和要么是負反同構(gòu)與廣義跡之和色一色最新地址；引入了Banach代數(shù)上線性映射的Lie不變子空間亚洲黄色视频网在线观看，并給出von Neumann代數(shù)中套子代數(shù)上以導(dǎo)子空間為Lie不變子空間的線性映射的一個刻畫，同時也表明在模去數(shù)乘恒等映射的意義下久久精品国产精五月婷，以導(dǎo)子空間為Lie不變子空間的線性映射就是Lie導(dǎo)子欧美视频大片。

In order to solve the derivation of power exponent function,this paper has studied the derivation regulations on power function from the perspective of the differentiation of multi-variable function and in accordance with the derivation laws on multi-variable complex function.

為解決冪指函數(shù)的求導(dǎo)問題，從多元函數(shù)微分法的角度出發(fā)亚洲欧美日韩一区在线，根據(jù)多元復(fù)合函數(shù)的求導(dǎo)法則秋霞理论久久理论电影，探索冪指函數(shù)求導(dǎo)的規(guī)律，并揭示了冪指函數(shù)與冪函數(shù)及指數(shù)函數(shù)導(dǎo)數(shù)間的關(guān)系性生活黄色网站，給出了冪指函數(shù)求導(dǎo)的另一種方法亚洲制服丝袜欧美漏出偷窥。