1) Jacobson algorithm
Jacobson算法
2) Jac(R)
Jacobson-根
1.
This paper discusses the Nil(R)and Jac(R) of hypercentral extension,which is applied to Azumaya algebra.
通过对超中心扩张的Nil-根与Jacobson-根的性质的探讨,将其结果运用到Azumaya代数上。
3) Jacobson radical
Jacobson根
1.
This paper proved Vukman s conjecture concerning the image of a linear derivation on a Banach algebra,gave some sufficient conditions that the image of a linear derivation on complex Banach algebra was in the Jacobson radical,and also discussed the simple form of a linear derivation on an annihilator Banach algebra.
Vukman关于非交换Banach代数上线性导子像的猜测;给出了复Banach代数上线性导子映代数入其Jacobson根的几个充分条件和线性导子具有最简形式的充要条件。
2.
Let B be a nuclear C~-algebra with diagonal D in the sense of Kumjian, A a triangular subalgebra of B with diagonal D, then the Jacobson radical of A equals to the topological prime radical of A.
设B是含Kumjian意义的对角D的NuclearC 代数 ,A是B中的三角子代数则A的Jacobson根等于A的拓扑素
3.
In this paper, we discuss the properties of digraphs for primitive path algebra and (right) Goldie path \{algebra\}; and prove that Brown\|McCoy radical of the generalized path algebra does not coincide with the Jacobson radical in general.
讨论了有向图的几何性质和其路代数的代数性质之间的关系 ,解决了路代数中若干遗留问题 ,给出本原路代数、(右 ) Goldie路代数的有向图特征 ,证明了广义路代数的 Brown-Mc Coy根与它的 Jacobson根是不重合的 。
4) Jacobson ring
Jacobson环
1.
If R is a gr-Jacobson ring(or a gr-prime essential ring,or a gr-essential nilpotent ring),then R is Jacobson ring(or prime essential ring,or essential nilpotent ring).
利用冲积和分次环上的群环2个工具得到了关于分次环上的分次与无分次性的3个定理,即设G是有限群,R是G分次环,如果R是分次Jacobson环(或分次素本质环或分次本质幂零环),则R是Jacobson环(或素本质环或本质幂零环)。
5) Jacobson's organ
Jacobson器官
1.
Objective: The aim of this study was to investigate whether cleft palate is associated with the mal_development of the vomer, Jacobson′s organ and para_septal cartilage.
目的 :探讨腭裂与胚鼠的犁骨、Jacobson器官和鼻中隔旁软骨发育的关系。
6) graded Jacobson radical
分次Jacobson根
1.
The graded Jacobson radical of graded algebra;
分次代数的分次Jacobson根
2.
Making use of the classical methods in ring theory, we obtain the relations with regard to graded Jacobson radical and graded prime radical between a group graded ring and its finite normalized graded extension ring.
利用经典环论方法,得到一个群分次环与其有限正规分次扩张环之间关于分次Jacobson根和分次素根的关系,同时,给出了分次情形的Cutting down定理和Lying over定理。
3.
We show that r_G(B)=[W,r_G(A)V]=[Wr_G(A),V],r_G(A)=(V,r_G(B)W)=(Vr_G(B),W), where r_G is one of the following graded radicals:the graded prime radical;the graded Jacobson radical;the graded Koethe radical;the graded Levitzki radical;the graded strongly prime radical;the graded uniformly strongly prime radical.
本文证明τG(B)：[W,ΥG(A)V]=【WΥc(A),V],ΥG(A)=(V,ΥG(B)W)=(VΥG(B),W)其中ΥG代表P_G(分次素根),J_G(分次Jacobson根),K_G(分次Koethe根),L_G(分次Levitzki根)和s_G(分次强素根),us_G(分次一致强素根)。
补充资料：BP算法
分子式：
CAS号：
性质：又称逆推学习算法，简称BP算法，是1986年鲁梅哈特(D. E. Rumelhart)和麦克莱朗德(J. L. McClelland)提出来的。用样本数据训练人工神经网络(一种模仿人脑的信息处理系统)，它自动地将实际输出值和期望值进行比较，得到误差信号，再根据误差信号从后(输出层)向前(输入层)逐层反传，调节各神经层神经元之间的连接权重，直至误差减至满足要求为止。反向传播算法的主要特征是中间层能对输出层反传过来的误差进行学习。这种算法不能保证训练期间实现全局误差最小，但可以实现局部误差最小。BP算法在图像处理、语音处理、优化等领域得到应用。
CAS号：
性质：又称逆推学习算法，简称BP算法，是1986年鲁梅哈特(D. E. Rumelhart)和麦克莱朗德(J. L. McClelland)提出来的。用样本数据训练人工神经网络(一种模仿人脑的信息处理系统)，它自动地将实际输出值和期望值进行比较，得到误差信号，再根据误差信号从后(输出层)向前(输入层)逐层反传，调节各神经层神经元之间的连接权重，直至误差减至满足要求为止。反向传播算法的主要特征是中间层能对输出层反传过来的误差进行学习。这种算法不能保证训练期间实现全局误差最小，但可以实现局部误差最小。BP算法在图像处理、语音处理、优化等领域得到应用。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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