scholarly journals Matrix maps and the isomorphic structure of BK spaces

1991 ◽  
Vol 111 (1) ◽  
pp. 45-45
Author(s):  
Jeff Connor
2019 ◽  
Vol 142 (6) ◽  
Author(s):  
Xiangyang Xu ◽  
Hanqiao Sun ◽  
Yanfang Liu ◽  
Peng Dong

Abstract Planetary gear sets (PGSs) have been widely used in automatic transmissions (AT) and dedicated hybrid transmissions (DHTs). In this paper, a novel isomorphic detection method for planetary gear transmission structure is proposed based on matrix operation. The isomorphic detection process includes two main parts. In the first part, various components of the transmission structure are classified. In the second part, isomorphic structures of the numerous structures are detected. Through the application of the proposed detection approach, the structures obtained by different synthesis algorithms can be greatly reduced. Furthermore, by the analysis and transformation of the hybrid configuration to conventional transmission configuration, the scope of use of the algorithm can be expanded through the method. The proposed detection approach is capable of automatically detecting the isomorphic structure of the potential structures obtained by synthesis algorithm.


1989 ◽  
Vol 17 (4) ◽  
pp. 368-375 ◽  
Author(s):  
Ray S. Anderson

The culture split between science and theology by which theology tends to abandon the concrete observable world to science, while science tends to dismiss questions of ontology (God), is presented as a framework within which to examine the preceding articles in this issue. The inadequacy of attempting to bridge this dichotomy by constructing a synthesis between psychology and theology on the common ground of religious experience is shown. An alternative approach to theology as having its focus on the interaction between the human self, others and God is presented, suggesting that a convergence between theology and psychology can be found in their common interest in the nature of the human self as being-in-becoming. This convergence is examined as an isomorphic structure where, despite different “ancestry,” theology and psychology attempt to explain and give meaning to human experience as grounded in being (ontology), experienced in a knowing way (epistemology), and open to change by the reality of transcendent being which moves the self toward goals which offer healing and hope (teleology).


2015 ◽  
Vol 9 (3) ◽  
pp. 1-13 ◽  
Author(s):  
Eberhard Malkowsky ◽  
Ivana Djolovic ◽  
Katarina Petkovic
Keyword(s):  

2016 ◽  
Vol 47 (4) ◽  
pp. 405-420 ◽  
Author(s):  
Feyzi Basar ◽  
Naim L. Braha

In this paper, we introduce the spaces $\breve{\ell}_{\infty}$, $\breve{c}$ and $\breve{c}_{0}$ of Euler-Ces`aro bounded, convergent and null difference sequences and prove that the inclusions $\ell_{\infty}\subset\breve{\ell}_{\infty}$, $c\subset\breve{c}$ and $c_{0}\subset\breve{c}_{0}$ strictly hold. We show that the spaces $\breve{c}_{0}$ and $\breve{c}$ turn out to be the separable BK spaces such that $\breve{c}$ does not possess any of the following: AK property and monotonicity. We determine the alpha-, beta- and gamma-duals of the new spaces and characterize the matrix classes $(\breve{c}:\ell_{\infty})$, $(\breve{c}:c)$ and $(\breve{c}:c_0)$.  


Author(s):  
B. Yousefi ◽  
S.M.A. Musavi
Keyword(s):  

1966 ◽  
Vol 18 ◽  
pp. 1281-1293 ◽  
Author(s):  
William Ruckle

It is known that every Banach space which possesses a Schauder basis is essentially a space of sequences (6, Section 11.4). The primary objectives of this paper are: (1) to illustrate the close connection between sectionally bounded BK spaces and Banach spaces which have a Schauder basis, and (2) to consider some results in these theories in such a way as to render them easy and natural. In order to reach the largest number of readers we shall use (6) as the sole basis of our discussion. References to other authors are made in order to direct the reader to the original source of a theorem or to a related discussion.


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