Institution
Humboldt University of Berlin
Education•Berlin, Germany•
About: Humboldt University of Berlin is a education organization based out in Berlin, Germany. It is known for research contribution in the topics: Population & Medicine. The organization has 33671 authors who have published 61781 publications receiving 1908102 citations. The organization is also known as: Humboldt-Universität zu Berlin & Universitas Humboldtiana Berolinensis.
Papers published on a yearly basis
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TL;DR: This work identifies and discusses different labeling styles and their use in process modeling praxis and performs a grammatical analysis of these styles and suggests specific programs of research towards better tool support for labeling practices.
286 citations
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TL;DR: The first goal of algebraic number theory is the generalization of the theorem on the unique representation of natural numbers as products of prime numbers to algebraic numbers as discussed by the authors, which is the main motivation for the present paper.
Abstract: The first goal of algebraic number theory is the generalization of the theorem on the unique representation of natural numbers as products of prime numbers to algebraic numbers. Gauss considered the ring \( \mathbb{Z}\left[ {\sqrt {{ - 1}} } \right] \) of all numbers of the form \( a + \sqrt {{ - 1b}} \) with \( a,\;b \in \mathbb{Z} \) and showed that \( \mathbb{Z}\left[ {\sqrt {{ - 1}} } \right] \) is a ring with unique factorization in prime elements (see §2.1). He introduced these numbers for the development of his theory of biquadratic residues. Another motivation for the study of the arithmetic of algebraic numbers comes from the theory of Tiophantine equations. For example, the quadratic form \( f({x_1},\;{x_2}) = x_1^2 - Dx_2^2 \) with \( D \in \mathbb{Z} \), \( \sqrt {{D\;
otin \;\mathbb{Z}}} \) can be written in the form \( \left( {{x_1} - \sqrt {{D{x_2}}} } \right)\left( {{x_1} + \sqrt {{D{x_2}}} } \right) \). Hence the question about the representation of integers by f(a 1, a 2) with \( {a_1},\;{a_2} \in \mathbb{Z} \) can be reformulated as a question of factorization of algebraic numbers of the form \( {a_1} + \sqrt {{D{a_2}}} \). These numbers form a module in the field \( \mathbb{Q}(\sqrt {D} ) \).
286 citations
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01 Jan 2003TL;DR: The Petri Net Markup Language (PNML) is an XML-based interchange format for Petri nets that supports any version of Petri net since new PetriNet types can be defined by so-called Petrinet Type Definitions (PNTD).
Abstract: The Petri Net Markup Language (PNML) is an XML-based interchange format for Petri nets. PNML supports any version of Petri net since new Petri net types can be defined by so-called Petri Net Type Definitions (PNTD).
286 citations
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TL;DR: The luminosity determination for the ATLAS detector at the LHC during pp collisions at s√= 8 TeV in 2012 is presented in this article, where the evaluation of the luminosity scale is performed using several luminometers.
Abstract: The luminosity determination for the ATLAS detector at the LHC during pp collisions at s√= 8 TeV in 2012 is presented. The evaluation of the luminosity scale is performed using several luminometers ...
286 citations
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TL;DR: This work reports on generation of dopamine neurons from long-term cultures of human fetal mesencephalic precursor cells, which might serve as a useful source of human dopamine neurons for studying the development and degeneration ofhuman dopamine neurons and may further serve as an on-demand source of cells for therapeutic transplantation in patients with Parkinson's disease.
286 citations
Authors
Showing all 34115 results
Name | H-index | Papers | Citations |
---|---|---|---|
Karl J. Friston | 217 | 1267 | 217169 |
Peer Bork | 206 | 697 | 245427 |
Raymond J. Dolan | 196 | 919 | 138540 |
Stefan Schreiber | 178 | 1233 | 138528 |
Andreas Pfeiffer | 149 | 1756 | 131080 |
Thomas Hebbeker | 148 | 1984 | 114004 |
Thomas Lohse | 148 | 1237 | 101631 |
Jean Bousquet | 145 | 1288 | 96769 |
Hermann Kolanoski | 145 | 1279 | 96152 |
Josh Moss | 139 | 1019 | 89255 |
R. D. Kass | 138 | 1920 | 107907 |
W. Kozanecki | 138 | 1498 | 99758 |
U. Mallik | 137 | 1625 | 97439 |
C. Haber | 135 | 1507 | 98014 |
Christophe Royon | 134 | 1453 | 90249 |