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94
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CIE
2006
Springer
15 years 4 months ago
Inverting Monotone Continuous Functions in Constructive Analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
80
Voted
MST
2008
101views more  MST 2008»
15 years 6 days ago
Realizability interpretation of proofs in constructive analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
79
Voted
TIP
2008
98views more  TIP 2008»
15 years 4 days ago
On the Construction of Invertible Filter Banks on the 2-Sphere
The theories of signal sampling, filter banks, wavelets and "overcomplete wavelets" are well-established for the Euclidean spaces and are widely used in the processing a...
B. T. Thomas Yeo, Wanmei Ou, Polina Golland
CIKM
2005
Springer
15 years 2 months ago
Fast on-line index construction by geometric partitioning
Inverted index structures are the mainstay of modern text retrieval systems. They can be constructed quickly using off-line mergebased methods, and provide efficient support for ...
Nicholas Lester, Alistair Moffat, Justin Zobel
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