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Application of graph theory to the synthesis of single-contact networks
โ Scribed by Shu-Park Chan
- Publisher
- Elsevier Science
- Year
- 1965
- Tongue
- English
- Weight
- 965 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
XBSTRACT : This paper considers one special type of switching network, namely, the singlecontact (SC) network. A minimal set of de~nitions is introduced, and several known theorems, which are useful in the later development, are stated without proof. Certain functional transformations are then derived. Based on these functional transformations, a set of necessary realizability conditions are developed. From these realizabiIity conditions, several theorems are obtained which may be used as part of the procedure in the synthesis of SC networks.
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The process of determining the kinetic energy as a function of generalized coordinates and velocities of rigid body systems is often extremely laborious. In this paper a method is presented by means of which all the kinetic energy terms ef a system possessing a tree structure are calculated in a sys