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COMPGEOM
2005
ACM
15 years 6 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
COMPGEOM
2005
ACM
15 years 6 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
COMPGEOM
2005
ACM
15 years 6 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
PODS
2010
ACM
159views Database» more  PODS 2010»
15 years 5 months ago
On probabilistic fixpoint and Markov chain query languages
We study highly expressive query languages such as datalog, fixpoint, and while-languages on probabilistic databases. We generalize these languages such that computation steps (e....
Daniel Deutch, Christoph Koch, Tova Milo
EUSFLAT
2007
103views Fuzzy Logic» more  EUSFLAT 2007»
15 years 5 months ago
On L-valued Equalites on the L-powersets of Many-valued Sets
The research in the field of the so called Fuzzy Mathematics can be conditionally devided into two mainstreams: the first one emphasizes on the study of different fuzzy structu...
Ingrida Uljane, Alexander P. Sostak