Spaces with Corresponding Paths
نویسندگان
چکیده
منابع مشابه
Classical and Fluctuating Paths in Spaces with Curvature and Torsion
This lecture elaborates on a recently discovered mapping procedure by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed correctly into those in curved space. This procedure evolved from well established methods in the theory of plastic deformations where crystals with defects are described mathematically by applying nonholonomic coordi...
متن کاملDeviation Equations in Spaces with a Transport along Paths
This paper starts a series of applications of the transports along paths introduced in [1,2] in fibre bundles to certain physical problems. All considerations in the present work are made in a (real) differentiable manifold M [3,4] whose tangent bundle (T (M), π,M) is endowed with a transport along paths [1]. Here T (M) := ∪x∈MTx(M), Tx(M) being the tangent to M space at x ∈ M and π : T (M) → M...
متن کاملRelative mechanical quantities in spaces with a transport along paths
The concepts of relative velocity and acceleration, deviation velocity and acceleration and relative momentum of point particles in spaces (manifolds), the tangent bundle of which is equipped with a transport along paths, are introduced. If the tangent bundle is endowed also with a metric, it gives rise also to the notion of a relative energy. Certain ties between these quantities are considere...
متن کاملGeneralized Doppler Effect in Spaces with a Transport along Paths
An analog of the classical Doppler effect is investigated in spaces (manifolds) whose tangent bundle is endowed with a transport along paths, which, in particular, can be parallel one. The obtained results are valid irrespectively to the particles mass, i.e. they hold for massless particles (e.g. photons) as well as for massive ones.
متن کاملGrounding Language with Points and Paths in Continuous Spaces
We present a model for generating pathvalued interpretations of natural language text. Our model encodes a map from natural language descriptions to paths, mediated by segmentation variables which break the language into a discrete set of events, and alignment variables which reorder those events. Within an event, lexical weights capture the contribution of each word to the aligned path segment...
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: Proceedings of the National Academy of Sciences
سال: 1922
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.8.8.233