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» Handbook of mathematical functions
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MKM
2005
Springer
14 years 2 months ago
Translating Mathematical Vernacular into Knowledge Repositories
Abstract. Defining functions is a major topic when building mathematical repositories. Though relatively easy in mathematical vernacular, function definitions rise a number of qu...
Adam Grabowski, Christoph Schwarzweller
MA
2010
Springer
85views Communications» more  MA 2010»
13 years 3 months ago
Tail dependence functions and vine copulas
Tail dependence and conditional tail dependence functions describe, respectively, the tail probabilities and conditional tail probabilities of a copula at various relative scales....
Harry Joe, Haijun Li, Aristidis K. Nikoloulopoulos
JSAC
2006
104views more  JSAC 2006»
13 years 8 months ago
A mathematical model of noise in narrowband power line communication systems
This manuscript introduces a mathematically tractable and accurate model of narrowband power line noise based on experimental measurements. In this paper, the noise is expressed as...
Masaaki Katayama, Takaya Yamazato, Hiraku Okada
JSYML
2000
76views more  JSYML 2000»
13 years 8 months ago
Located Sets and Reverse Mathematics
Let X be a compact metric space. A closed set K X is located if the distance function d(x, K) exists as a continuous realvalued function on X; weakly located if the predicate d(x,...
Mariagnese Giusto, Stephen G. Simpson
COMPLEXITY
2004
69views more  COMPLEXITY 2004»
13 years 8 months ago
Mathematical models for explaining the emergence of specialization in performing tasks
In an evolving community consisting of many individuals, it is often the case that the individuals tend, over time, to become more specialized in performing the tasks necessary fo...
Daniel Solow, Joesph Szmerekovsky