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» Computable Versions of Basic Theorems in Functional Analysis
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CCA
2009
Springer
15 years 6 months ago
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Hannes Diener, Peter Schuster
CORR
2008
Springer
99views Education» more  CORR 2008»
14 years 11 months ago
When is there a representer theorem? Vector versus matrix regularizers
We consider a general class of regularization methods which learn a vector of parameters on the basis of linear measurements. It is well known that if the regularizer is a nondecr...
Andreas Argyriou, Charles A. Micchelli, Massimilia...
CADE
1990
Springer
15 years 3 months ago
IMPS: An Interactive Mathematical Proof System
imps is an Interactive Mathematical Proof System intended as a general purpose tool for formulating and applying mathematics in a familiar fashion. The logic of imps is based on a...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
PLILP
1998
Springer
15 years 3 months ago
A Hidden Herbrand Theorem
: The bene ts of the object, logic or relational, functional, and constraint paradigms can be obtained from our previous combination of the object and functional paradigms in hidde...
Joseph A. Goguen, Grant Malcolm, Tom Kemp
CCA
2005
Springer
15 years 5 months ago
Effectively Open Real Functions
A function f is continuous iff the pre-image f −1[V ] of any open setV is open again. Dual to this topological7 property, f is called open iff the image f [U] of any open set U ...
Martin Ziegler