Results 261 to 270 of about 4,454 (298)
Some of the next articles are maybe not open access.
2002
In mathematics and its applications one may encounter situations in which it is desirable to set up integrals over arcs or surfaces or their higher dimensional generalizations. (These higher dimensional generalizations are called manifolds. We shall explain them later in this chapter.) For instance, given a mass distributed along an arc with a known ...
Piotr Mikusiński, Michael D. Taylor
openaire +1 more source
In mathematics and its applications one may encounter situations in which it is desirable to set up integrals over arcs or surfaces or their higher dimensional generalizations. (These higher dimensional generalizations are called manifolds. We shall explain them later in this chapter.) For instance, given a mass distributed along an arc with a known ...
Piotr Mikusiński, Michael D. Taylor
openaire +1 more source
1983
We shall consider integration of p-forms over differentiable singular p-chains in n-dimensional manifolds, and integration of n-forms over regular domains in oriented n-dimensional manifolds. For both of these situations we shall prove a version of Stokes’ theorem.
openaire +1 more source
We shall consider integration of p-forms over differentiable singular p-chains in n-dimensional manifolds, and integration of n-forms over regular domains in oriented n-dimensional manifolds. For both of these situations we shall prove a version of Stokes’ theorem.
openaire +1 more source
Fractional Integrals on Product Manifolds
Potential Analysis, 2009A mixed norm estimate is established for multi-parameter fractional integrals on product spaces. This result is then shown to imply boundedness of several particular kinds of fractional integrals, namely those of Nagel-Stein type on product manifolds, of Folland-Stein type on products of homogeneous groups and the discrete fractional integrals of Stein-
Ding, Yong, Wu, Xinfeng
openaire +1 more source
Taylor Approximation of Integral Manifolds
Journal of Dynamics and Differential Equations, 2006Simplifying an ordinary autonomous differential equation is possible by basically two different approaches: (i) eliminating higher-order Taylor coefficients of the right-hand side, or (ii) reducing its dimension. Approach (i) is e.g.\ the Hartman-Grobman theorem (continuous transformation) or the Poincaré normal form (smooth transformation).
Pötzsche, Christian, Rasmussen, Martin
openaire +2 more sources
On Data Integration Problems With Manifolds
Technometrics, 2018This article focuses on data integration problems where the predictor variables for some response variable partition into known subsets.
Mark Vere Culp +3 more
openaire +1 more source
1977
The topic of this chapter is integration over subsets of an r-manifold M ⊂ E n . For this purpose we first study in Section 8.1 regular transformations from E r into M. Then we find that coordinates can be introduced on portions of M, using the inverses of regular transformations. Such a portion S is called a coordinate patch on M.
openaire +1 more source
The topic of this chapter is integration over subsets of an r-manifold M ⊂ E n . For this purpose we first study in Section 8.1 regular transformations from E r into M. Then we find that coordinates can be introduced on portions of M, using the inverses of regular transformations. Such a portion S is called a coordinate patch on M.
openaire +1 more source
Asymptotic Approximations of Integral Manifolds
SIAM Journal on Applied Mathematics, 1987zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Harmonic Integrals on Foliated Manifolds
American Journal of Mathematics, 1959In the paper [5], we considered harmonic integrals on local product manifolds, that is, manifolds having two families of submanifolds in complementary dimensions, such that locally they look like the product of two euclidean spaces. The metric was assumed to be such that this local product could be taken in the sense of Riemannian manifolds.
openaire +1 more source