One to one mappings and applications
نویسندگان
چکیده
منابع مشابه
A characterization of one-to-one modular mappings
In this paper we deal with modular mappings as introduced by Lee and Fortes and we build upon their results Our main contribution is a characterization of one to one modular mappings that is valid even when the source domain and the target domain of the transformation have the same size but not the same shape This characterization is constructive and a procedure to test the injectivity of a giv...
متن کاملOne-to-one piecewise linear mappings over triangulations
We call a piecewise linear mapping from a planar triangulation to the plane a convex combination mapping if the image of every interior vertex is a convex combination of the images of its neighbouring vertices. Such mappings satisfy a discrete maximum principle and we show that they are oneto-one if they map the boundary of the triangulation homeomorphically to a convex polygon. This result can...
متن کاملDynamics of Certain Smooth One-dimensional Mappings II. Geometrically finite one-dimensional mappings
We study geometrically finite one-dimensional mappings. These are a subspace of C one-dimensional mappings with finitely many, critically finite critical points. We study some geometric properties of a mapping in this subspace. We prove that this subspace is closed under quasisymmetrical conjugacy. We also prove that if two mappings in this subspace are topologically conjugate, they are then qu...
متن کاملRobust One-to-One Sweeping with Harmonic S-T Mappings and Cages
A sweeping algorithm can generate hexahedral meshes by sweeping an all-quad mesh on the source surface to the target surface. For one-toone sweeping, the most difficult thing is to generate an all-quad mesh on the target surface which has the same mesh connectivity as that of the source surface. The traditional method is to use the affine transformation, like translation, rotation, scaling or c...
متن کاملOne-to-many Mappings, Continuity Constraints and Latent Variable Models
We approach the problem of multivariate regression using latent variable models, which infer a low-dimensional representation of an observed, high-dimensional process. Defining functional relationships between variables may be conveniently done by picking informative points from the corresponding conditional distribution. However, this is problematic when this conditional distribution is multim...
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: General Topology and its Applications
سال: 1971
ISSN: 0016-660X
DOI: 10.1016/0016-660x(71)90119-x