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» A generalization of the Lin-Zhao theorem
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JOLLI
2008
84views more  JOLLI 2008»
13 years 10 months ago
The basic constructive logic for a weak sense of consistency
In this paper, consistency is understood as the absence of the negation of a theorem, and not, in general, as the absence of any contradiction. We define the basic constructive log...
Gemma Robles, José M. Méndez
ENDM
2007
93views more  ENDM 2007»
13 years 10 months ago
Measurable sets with excluded distances
For a set of distances D = {d1, . . . , dk} a set A is called D-avoiding if no pair of points of A is at distance di for some i. We show that the density of A is exponentially sma...
Boris Bukh
TNN
2008
81views more  TNN 2008»
13 years 10 months ago
Nonlinear Knowledge-Based Classification
Prior knowledge over general nonlinear sets is incorporated into nonlinear kernel classification problems as linear constraints in a linear program. The key tool in this incorpora...
Olvi L. Mangasarian, Edward W. Wild
JSYML
2007
91views more  JSYML 2007»
13 years 10 months ago
Ideal convergence of bounded sequences
We generalize the Bolzano-Weierstrass theorem (that every bounded sequence of reals admits a convergentsubsequence) on ideal convergence. Weshow examplesofidealswith and without th...
Rafal Filipów, Reclaw Ireneusz, Mrozek Niko...
COMBINATORICS
2004
93views more  COMBINATORICS 2004»
13 years 10 months ago
On the Combinatorial Structure of Arrangements of Oriented Pseudocircles
We introduce intersection schemes (a generalization of uniform oriented matroids of rank 3) to describe the combinatorial properties of arrangements of pseudocircles in the plane ...
Johann Linhart, Ronald Ortner