Some Theorems on Piecewise Linear Embedding
نویسندگان
چکیده
منابع مشابه
Some Theorems on Piecewise Linear Embedding by v. K. A. M. Gugenheim
1 Ward, Morgan, "Memoir on Elliptic Divisibility Sequences," Am. J. Math., 70, 31-74 (1948). 2 Ward, Morgan, "Arithmetical Properties of Polynomials Associated with the Lemniscate Elliptic Functions," PROC. NATL. ACAD. Sci., 36, 359-362 (1950). 3 For the three-term sigma formula, and all of the formulas of the previous paragraph, cf. Tannery and Molk, Pl1ments de la theorie des fonctions ellipt...
متن کاملOn Some Embedding Theorems for Inverse Semigroups
A semilattice decomposition of an inverse semigroup has good internal mapping properties. These are used to give natural proofs of some embedding theorems, which were originally proved in a rather artificial way. The reader is referred to [1] for the basic theory of inverse semigroups. In an earlier paper [3] we proved the following embedding result: (1) An E-unitary inverse semigroup is isomor...
متن کاملOn linear versions of some addition theorems
Let K ⊂ L be a field extension. Given K-subspaces A,B of L, we study the subspace 〈AB〉 spanned by the product set AB = {ab | a ∈ A, b ∈ B}. We obtain some lower bounds on dimK〈AB〉 and dimK〈B 〉 in terms of dimK A, dimK B and n. This is achieved by establishing linear versions of constructions and results in additive number theory mainly due to Kemperman and Olson.
متن کاملThe Pairwise Piecewise-Linear Embedding for Efficient Non-Linear Classification
Linear classifiers are much faster to learn and test than non-linear ones. On the other hand, non-linear kernels offer improved performance, albeit at the increased cost of training kernel classifiers. To use non-linear mappings with efficient linear learning algorithms, explicit embeddings that approximate popular kernels have recently been proposed. However, the embedding process is often cos...
متن کاملOn Laplace–Carleson embedding theorems
This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive h...
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: 1952
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.38.4.333