GENERAL REFERENCE FRAMES AND THEIR ASSOCIATED SPACE MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Inner space: Reference frames
How are we aware of our surroundings? Somehow, from a pair of tiny, two-dimensional pictures of the visual world – provided by our retinas – our brains are able to render the world as it is, accurately depicting the locations of both a distant mountain range and the camera we are pointing at it. To understand how space is represented in the brain, neurophysiologists have borrowed the useful con...
متن کاملNearly Tight Frames and Space-Frequency Analysis on Compact Manifolds
Let M be a smooth compact oriented Riemannian manifold, and let ∆ be the Laplace-Beltrami operator on M. Say 0 6= f ∈ S(R), and that f(0) = 0. For t > 0, let Kt(x, y) denote the kernel of f(t∆). Suppose f satisfies Daubechies’ criterion, and b > 0. For each j, write M as a disjoint union of measurable sets Ej,k with diameter at most ba j , and comparable to ba if ba is sufficiently small. Take ...
متن کاملDemonstratives, Frames of Reference, and Semantic Universals of Space
There is a large body of research indicating that speakers of (familiar) European languages tend to encode and conceptualize space from an egocentric perspective, but linguistic fieldworkers have shown that speakers of certain other languages (e.g. Tzeltal) often describe the same spatial scenes based on fixed coordinates of the environment. This has led some researcher to challenge longstandin...
متن کاملStatistical cosymplectic manifolds and their submanifolds
In this paper, we introduce statistical cosymplectic manifolds and investigate some properties of their tensors. We define invariant and anti-invariant submanifolds and study invariant submanifolds with normal and tangent structure vector fields. We prove that an invariant submanifold of a statistical cosymplectic manifold with tangent structure vector field is a cosymplectic and minimal...
متن کاملGOCE gradients in various reference frames and their accuracies
The objective of GOCE (Gravity Field and Steady-State Ocean Circulation Explorer) is the determination of the Earth’s gravity field with high spatial resolution. The main science sensor (the gradiometer) measures differential accelerations, from which the gravitational gradients, i.e. the matrix of the second derivatives of the gravitational potential, are derived. Some of them (the diagonal co...
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: International Journal of Geometric Methods in Modern Physics
سال: 2011
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887811005051