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Actions of Picture Groups on CAT(0) Cubical Complexes

Daniel S. Farley
2005 Geometriae Dedicata  
A class of groups, called picture groups, is defined. Richard Thompson's groups F , T , and V are all picture groups.  ...  Acknowledgement I thank the referee for correcting a mistake in an earlier version of this introduction, and for giving me the references to Jolissaint's work.  ...  The first derived K of an abstract cubical complex K = (V, C) is the abstract simplicial complex having the set C as its vertices and the set of all finite nonempty ascending chains of cubes of K as simplices  ... 
doi:10.1007/s10711-004-1530-z fatcat:yfg4yzqh3fav3nl2au4au6ry7q

Limits of abstract elementary classes [article]

M. Lieberman, J. Rosický
2015 arXiv   pre-print
We show that the category of abstract elementary classes (AECs) and concrete functors is closed under constructions of "limit type," which generalizes the approach of Mariano, Zambrano and Villaveces away  ...  We also say that R ∈ Σ K detect isomorphisms; this condition makes K equivalent to an abstract elementary class.  ...  Now, K is an abstract elementary class if and only if the functor E is full with respect to isomorphisms and replete.  ... 
arXiv:1504.04683v2 fatcat:c6sij4km4vegznvsy42lezeepy

A bottom-up approach to SUSY analyses

Claus Horn
2009 Journal of Physics G: Nuclear and Particle Physics  
An abstract notation is used to describe the new particles on a level which better corresponds to detector resolution of LHC experiments.  ...  By focusing on the experimental observables for each process investigated the Bottom-Up Approach allows to systematically study the boarders of the experimental efficiencies and thus to extend the sensitivity  ...  Since the Bottom-Up Approach allows to calculate N exp in many dimensions with high precision it would allow to choose the pMSSM as a standard for the interpretation of LHC results.  ... 
doi:10.1088/0954-3899/36/10/105005 fatcat:lvgyhwehvnewjme5uoi2b7sl5u

Finiteness and CAT(0) properties of diagram groups

Daniel S. Farley
2003 Topology  
(ii) The link of 1 inK(P; w) n is isomorphic, as an abstract simplicial complex, to the full subcomplex of J (P; w n ) generated by the set { | is a vertex of J (P; w n ) and v, the bottom label of , satisÿes  ...  The abstract cube determined by and , denoted by C( ; ), is the set {r( • ) | 6 }. Elementary . This discussion may be summarized as follows: Lemma 2.4 (The elementary interval lemma).  ...  This appendix contains a description of an isomorphism from the diagram group D(P; x), where P = x | x = x 2 , to Thompson's group F.  ... 
doi:10.1016/s0040-9383(02)00029-0 fatcat:md3z46gfxrehzpqg7zfb6rkrvy

Introduction to: classification theory for abstract elementary class [article]

Saharon Shelah
2009 arXiv   pre-print
The present paper includes an introduction to the forthcoming book on Classification Theory for Abstract Elementary Classes  ...  It is probably recognized as the central part of model theory, however it will be even better to have such (non-trivial) theory for non-elementary classes.  ...  Now here an elementary class is one of the form (Mod T , ≺), any such class is an abstract elementary class (see below).  ... 
arXiv:0903.3428v1 fatcat:4dk2uczlq5ec5afsf35le3vmcm

AUTOMATICALLY GENERATING TREE ADJOINING GRAMMARS FROM ABSTRACT SPECIFICATIONS

Fei Xia, Martha Palmer, K. Vijay-Shanker
2005 Computational intelligence  
Various individual specifications are then combined to form the elementary trees of the grammar.  ...  The paper describes a system that can automatically generate tree adjoining grammars from abstract specifications.  ...  If some verb classes share certain structures, is it necessary to create an abstract superclass for them -such as the node VERB in Figure 26?  ... 
doi:10.1111/j.1467-8640.2005.00273.x fatcat:mbfvsezbhzepbkslwjdqzmfiqq

A knowledge-based multi-layered image annotation system

Marina Ivasic-Kos, Ivo Ipsic, Slobodan Ribaric
2015 Expert systems with applications  
The acquisition of knowledge is facilitated in a way that besides the general knowledge provided by the expert, the computable facts and rules about the concepts, as well as their reliability, are produced  ...  The main contributions are associated with an original approach of using a fuzzy knowledge-representation scheme based on the Fuzzy Petri Net (KRFPN) formalism.  ...  The outputs from the proposed system are classes at different levels of abstraction that include elementary classes, scene classes and generalized classes as well as derived classes.  ... 
doi:10.1016/j.eswa.2015.07.068 fatcat:2ot4wtuq2ndvnp54yizykvc3ze

Book Review: Funktionentheoretische Vorlesungen

L. E. Dickson
1904 Bulletin of the American Mathematical Society  
In (13), page 95, there should be added, as second restriction, 1 -f S> 0. On page 95, fifth line from bottom, read a m for a m+n .  ...  In its proof there is slight oversight at the bottom of page 79. With a irrational and e an arbitrary positive number, it is stated that a -e is an a (rational).  ... 
doi:10.1090/s0002-9904-1904-01118-0 fatcat:jjuaztuoazdgzngwzik4eghyse

Compression-based investigation of the dynamical properties of cellular automata and other systems [article]

Hector Zenil
2011 arXiv   pre-print
A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented  ...  It is shown that the compression-based approach classifies cellular automata (CA) into clusters according to their heuristic behavior, with these clusters showing a correspondence with Wolfram's main classes  ...  3. 15 An interesting example is the elementary cellular automaton rule 22, which behaves as a fractal in Wolfram's class 2 for some segment of initial configurations, followed by phase transitions of  ... 
arXiv:0910.4042v4 fatcat:kekeus7cpzatdpgb3d44rrjsgm

Compression-Based Investigation of the Dynamical Properties of Cellular Automata and Other Systems

Hector Zenil, Laboratoire d'Informatique Fondamentale de Lille, Institut d'Histoire et de Philosophie des Sciences et des Techniques
2010 Complex Systems  
These clusters show a correspondence with Wolfram's main classes of cellular automata behavior. A Gray code-based numbering scheme is developed for distinguishing initial conditions.  ...  A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented  ...  3. 15 An interesting example is the elementary cellular automaton rule 22, which behaves as a fractal in Wolfram's class 2 for some segment of initial configurations, followed by phase transitions of  ... 
doi:10.25088/complexsystems.19.1.1 fatcat:6vgn44ih5ncqzjxixsxhq6gnba

Page 87 of Psychological Abstracts Vol. 41, Issue 1 [page]

1967 Psychological Abstracts  
—Educational bureaucracy, developed as a result of general mass education, implies a contradiction between the teacher’s roles as an authority in the classroom and as a functionary at the bottom of the  ...  \—Journal abstract. 805. Grams, Armin. (Merrill-Palmer Inst., Detroit, Mich.) Facilitating learning and individual development: Toward a theory for elementary guidance. St.  ... 

On Capturing First-Order Topological Properties of Planar Spatial Databases [chapter]

Bart Kuijpers, Jan van den Bussche
1999 Lecture Notes in Computer Science  
Spatial databases are modeled as closed semi-algebraic subsets of the real plane.  ...  Note that formally, we work in an expansion of first-order logic over the reals with a binary  ...  We thank Jan Paredaens for a number of inspiring discussions we had with him in the initial stage of this work. have to be drawn as lines.  ... 
doi:10.1007/3-540-49257-7_13 fatcat:q4kuz2fruvafrlqmn6soqa4fl4

Sound Merging and Differencing for Class Diagrams [chapter]

Uli Fahrenberg, Mathieu Acher, Axel Legay, Andrzej Wąsowski
2014 Lecture Notes in Computer Science  
In a model-driven development process, class diagrams evolve, so it is important to be able to assess differences between revisions, as well as to propagate differences using suitable merge operations.  ...  Class diagrams are among the most popular modeling languages in industrial use.  ...  Fig. 4 . 4 A disjunctive merge of two diagrams (top) presented in concrete syntax (bottom left) and as a composition of elementary diagrams (bottom right).  ... 
doi:10.1007/978-3-642-54804-8_5 fatcat:ft5cymrqk5fhhbp3wp7niw2uvu

Page 1356 of Linguistics and Language Behavior Abstracts: LLBA Vol. 23, Issue 4 [page]

1989 Linguistics and Language Behavior Abstracts: LLBA  
{An attempt to determine if there was a difference in the reading achievement scores of remedial reading students who were identified as having differing hemispheric specializations (N = 64 fourth & fifth  ...  focus on the creative writing of sec- ond-grade children (N = 94) in a selected suburban elementary school.  ... 

Weak Adhesive High-Level Replacement Categories and Systems: A Unifying Framework for Graph and Petri Net Transformations [chapter]

Hartmut Ehrig, Ulrike Prange
2006 Lecture Notes in Computer Science  
For this reason weak adhesive HLR systems can be seen as a unifying framework for graph and Petri net transformations.  ...  Adhesive high-level replacement (HLR) systems have been recently introduced as a new categorical framework for graph tranformation in the double pushout (DPO) approach.  ...  The category (ElemNets, M) of elementary Petri nets is an adhesive HLR category, where M is the class of all injective morphisms.Proof idea.  ... 
doi:10.1007/11780274_13 fatcat:b2y7bvhb3fcrdhgcijdulrwqni
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