منابع مشابه
Geometrical Mechanics on algebroids
A natural geometric framework is proposed, based on ideas of W. M. Tulczyjew, for constructions of dynamics on general algebroids. One obtains formalisms similar to the Lagrangian and the Hamiltonian ones. In contrast with recently studied concepts of Analytical Mechanics on Lie algebroids, this approach requires much less than the presence of a Lie algebroid structure on a vector bundle, but i...
متن کاملGeometrical Constraints on Dark Energy
We explore the recently introduced statefinder parameters. After reviewing their basic properties, we calculate the statefinder parameters for a variety of cosmological models, and investigate their usefulness as a means of theoretical classification of dark energy models. We then go on to consider their use in obtaining constraints on dark energy from present and future supernovae type Ia data...
متن کاملGeometrical Perspective on Learning Behavior
We construct a geometrical perspective to justify the slow learning period and fast learning period during training. We plot the error surfaces and the solution space on the input space for a single neuron with two inputs. We study various training paths on this space when we run the back-propagation (BP) learning algorithm [1]. We display the relation between the learning curve and the trainin...
متن کاملOn a Geometrical Interpolation Problem
Given a finite set of points A in R and a geometrical pattern Φ we define a type of distance between A and Φ and study how to find a pattern Φ among a parametrized family of geometrical objects such that such a distance is minimum. Mathematics Subject Classification: 41A29
متن کاملON POINCARFv'S LAST GEOMETRICAL THEOREM
1. Let R be an annulus with inner radius a and outer radius b; i.e. the set of all points (x, y) such that a2^r2 = x2+y2^2>2. Let T be a homeomorphism of R onto itself, keeping the bounding circles fixed. If we introduce polar coordinates (r, 8), (O=0<27r) we may write T(r, 8) = (r't 0') where 6' is determined mod 2ir. For a particular point (r0, do) choose some determination 80* of do and cons...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Philosophical Magazine
سال: 1809
ISSN: 1941-5796,1941-580X
DOI: 10.1080/14786440908562898