Algebraic and topological theory of languages and computation

1984 ◽  
pp. 299-304
Author(s):  
John Rhodes
Keyword(s):  
Topological Theory

Study on the Method of Planetary Gear Trains Based on Topological Theory

2013 ◽  
Vol 568 ◽  
pp. 169-175 ◽  
Author(s):  
Ya Feng He ◽  
You Ming Wang
Keyword(s):  
Planetary Gear ◽  
Basic Structure ◽  
Graph Representation ◽  
Topological Graphs ◽  
Topological Theory ◽  
Planetary Gear Trains ◽  
Gear Trains ◽  
New System

The method research of planetary gear trains (PGTs) by applying topological theory is very significance in searching for innovative planetary trains. A new graph representation and stratification standard are introduced firstly. Then three topological graphs of basic structure of PGTs are established as the basis of synthesis theory. Next several kinds of planetary trains with small teeth difference and method of isomorphic determination are presented, thus built up the procedure of PGTs by graphs and example. Finally a new system of classification and synthesis for PGTs is put forward according to the feature of loops in topological theory.

scholarly journals TOPOLOGICAL FIELD THEORY OF VORTICES OVER CLOSED KÄHLER MANIFOLD

1995 ◽  
Vol 10 (30) ◽  
pp. 4371-4385
Author(s):  
HYUK-JAE LEE
Keyword(s):  
Field Theory ◽  
Vortex Pair ◽  
Kähler Manifolds ◽  
Topological Field Theory ◽  
Kahler Manifolds ◽  
Topological Theory ◽  
Vortex Equations ◽  
Pair Model ◽  
Topological Field ◽  
Component Direction

We show that the vortex equations of the n-dimensional closed Kähler manifolds can be derived from Einstein-Hermitian equations of the (n+1)-dimensional closed Kähler manifolds by setting invariance under translation in the (n+1)th component direction. We construct the topological theory about the vortex pair model through the dimensional reduction of the topological BRST structure.

Topological theory of abnormal grain growth

2006 ◽  
Vol 54 (19) ◽  
pp. 5313-5321 ◽  
Author(s):  
Paulo R. Rios ◽  
Martin E. Glicksman
Keyword(s):  
Grain Growth ◽  
Abnormal Grain Growth ◽  
Topological Theory

scholarly journals Topological theory of electromagnetism

1981 ◽  
Vol 24 (8) ◽  
pp. 2287-2304 ◽  
Author(s):  
G. F. Chew ◽  
J. Finkelstein ◽  
Robert E. McMurray ◽  
V. Poénaru
Keyword(s):  
Topological Theory

scholarly journals Topological Theory of Elementary-Hadron Coupling Constants

1981 ◽  
Vol 47 (11) ◽  
pp. 767-770 ◽  
Author(s):  
G. F. Chew ◽  
J. Finkelstein ◽  
M. Levinson
Keyword(s):  
Coupling Constants ◽  
Topological Theory

SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES

2020 ◽  
Vol 102 (3) ◽  
pp. 506-516
Author(s):  
CESAR A. IPANAQUE ZAPATA ◽  
JESÚS GONZÁLEZ
Keyword(s):  
Euclidean Space ◽  
Motion Planning ◽  
Euclidean Spaces ◽  
Optimal Motion ◽  
Topological Theory ◽  
Theory Of Motion ◽  
Optimal Motion Planning ◽  
Planning Algorithms

In robotics, a topological theory of motion planning was initiated by M. Farber. We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions between them and avoiding obstacles. Furthermore, we present the multi-tasking version of the algorithms.

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