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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 03/2019, Volume 377, Issue 2140, p. 20180035
By looking at concrete examples from elementary geometry, we analyse the manner in which the simplicity of proofs could be defined. We first find that, when... 
Elementary geometry | Hilbert’s 24th problem | Simple proofs | Ordered geometry | Direct proof | Multiple uses of axioms | ordered geometry | multiple uses of axioms | elementary geometry | direct proof | AXIOMS | MULTIDISCIPLINARY SCIENCES | Hilbert's 24th problem | simple proofs
Journal Article
The Annals of Probability, ISSN 0091-1798, 1/2011, Volume 39, Issue 1, pp. 104 - 138
Journal Article
Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 02/2018, Volume 54, Issue 1, pp. 514 - 528
We review product form blocking measures in the general framework of nearest neighbor asymmetric one dimensional misanthrope processes. This class includes... 
Reversible stationary distribution | Blocking measure | Jacobi triple product | Interacting particle systems | EXISTENCE | DEPOSITION MODELS | FLUCTUATIONS | HYDRODYNAMICS | STATISTICS & PROBABILITY | ZERO-RANGE PROCESS | SIMPLE EXCLUSION PROCESS
Journal Article
ACM Transactions on Computational Logic (TOCL), ISSN 1529-3785, 04/2014, Volume 15, Issue 2, pp. 1 - 30
A propositional proof system is weakly automatizable if there is a polynomial time algorithm that separates satisfiable formulas from formulas that have a... 
mean payoff games | weak automatizability | parity games | simple stochastic sames | Bounded arithmetic | resolution | Parity games | Simple stochastic sames | Weak automatizability | Mean payoff games | Resolution | Theory | LOGIC | NP SEARCH PROBLEMS | FRAGMENTS | LOWER BOUNDS | AUTOMATIZABILITY | COMPLEXITY | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
Journal of Algebra, ISSN 0021-8693, 01/2014, Volume 398, pp. 350 - 363
A new proof of Glaubermanʼs Solvable Signalizer Functor Theorem is presented. The Solvable Signalizer Functor Theorem is one of the background results needed... 
Finite group | Classification of finite simple groups | Signalizer functor | 20D45 | MATHEMATICS
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 03/2019, Volume 377, Issue 2140, p. 20180045
Proof plays a central role in developing, establishing and communicating mathematical knowledge. Nevertheless, it is not such a central element in school... 
Proof | Simple proof | Functions of proof | simple proof | proof | ENGAGING STUDENTS | MULTIDISCIPLINARY SCIENCES | functions of proof | KNOWLEDGE | 1008 | 2
Journal Article
Journal of Algebra, ISSN 0021-8693, 11/2013, Volume 394, pp. 221 - 222
A simple alternative ring without nilpotent elements of characteristic not 2 has no divisors of zero. This was the main part of my doctoral dissertation. Here... 
Alternative ring | Simple | No nilpotent elements | MATHEMATICS
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 02/2014, Volume 76, pp. 10 - 24
In a recent paper Dubrovin etal. (1998), it is proved that the genus two free energy of an arbitrary semisimple Frobenius manifold can be represented as a sum... 
Simple singularities | Frobenius manifold | G-function | Dual graph | Free energy
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 06/2014, Volume 121, Issue 6, pp. 537 - 540
We give a combinatorial proof of the identity for the alternating convolution of the central binomial coefficients. Our proof entails applying an involution to... 
Binomial coefficients | NOTES | MATHEMATICS | Permutations | Mathematics/Data Analysis and Probability/Probability/Simple Events/Permutations and Combinations | Analysis | Geometric probabilities | Probabilities | Combinatorial probabilities
Journal Article
Notre Dame Journal of Formal Logic, ISSN 0029-4527, 2012, Volume 53, Issue 4, pp. 439 - 456
We give a simple and direct proof that super-consistency implies the cut-elimination property in deduction modulo. This proof can be seen as a simplification... 
Cut elimination | Deduction modulo | Super-consistency | Simple type theory | MATHEMATICS | cut elimination | deduction modulo | THEOREM | super-consistency | PHILOSOPHY | INTUITIONISTIC THEORY | simple type theory | COMPLETENESS | LOGIC | Logic in Computer Science | Formal Languages and Automata Theory | Computer Science | 03B99 | 03F05 | 03C90 | 03B15
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 10/2005, Volume 363, Issue 1835, pp. 2401 - 2406
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2015, Volume 11
A Lie algebra gQ over Q is said to be I universal if every homomorphism from gQ to gl(n, R) is conjugate to a homomorphism into gi(n,Q) (for every n). By using... 
Semisimple Lie algebra | Tits algebra | Global field | Galois cohomology | Linear algebraic group | Finite-dimensional representation | global field | linear algebraic group | semisimple Lie algebra | finite-dimensional representation | PHYSICS, MATHEMATICAL
Journal Article
Kodai Mathematical Journal, ISSN 0386-5991, 2014, Volume 37, Issue 2, pp. 427 - 433
We give a shorter proof of the following theorem of Kathryn Mann [M]: the identity component of the group of the compactly supported Cr diffeomorphisms of Rn... 
action on the circle | group of diffeomorphisms | action on the real line | simple groups | Group of diffeomorphisms | Action on the circle | Action on the real line | Simple groups | MATHEMATICS
Journal Article
Games and Economic Behavior, ISSN 0899-8256, 11/2019, Volume 118, pp. 486 - 490
•We axiomatically characterize the symmetrically balanced VCG mechanism in the queueing problem.•Our main axiom is either upward or downward invariance, weaker... 
Simple proof | Queueing problem | Symmetrically balanced VCG rule | Axiomatic characterization | ECONOMICS | STRATEGY-PROOF
Journal Article
BIOTECHNIQUES, ISSN 0736-6205, 01/2020, Volume 68, Issue 2, pp. 85 - 90
Carbohydrate-deficient transferrin (CDT) is a reliable biomarker for chronic alcohol abuse. We developed a method for CDT analysis by capillary isoelectric... 
imaged capillary isoelectric focusing | carbohydrate-deficient transferrin | immunodetection | Simple Western | CDT | BIOCHEMISTRY & MOLECULAR BIOLOGY | BIOCHEMICAL RESEARCH METHODS | SERUM | IDENTIFICATION
Journal Article
Proceedings of the Japan Academy Series A: Mathematical Sciences, ISSN 0386-2194, 03/2010, Volume 86, Issue 3, pp. 60 - 63
We introduce an operator which enable us to give a simple construction of the isomorphism from the so-called Fock space to the L-2-space with respect to a... 
Random point field | Poisson measure | Fock space | MATHEMATICS | random point field | RANDOM POINT FIELDS | FERMION | 60G60 | 82B05 | 60G55
Journal Article
by Kim, H and Lee, S and Oh, S
ELECTRONIC JOURNAL OF COMBINATORICS, ISSN 1077-8926, 07/2019, Volume 26, Issue 3
Much work has been done to count the number of domino tilings for Aztec diamonds and augmented Aztec diamonds. Augmented Aztec rectangles and their chains are... 
MATHEMATICS | MATHEMATICS, APPLIED | ENUMERATION | DETERMINANTS | SENSITIVE GRAPHICAL SUBSETS | SIMPLE PROOF
Journal Article
Conformal Geometry and Dynamics, ISSN 1088-4173, 10/2008, Volume 12, Issue 11, pp. 174 - 186
Journal Article
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