- Conditions for stable range of an elementary divisor rings
2015/08/29 by Bogdan Zabavsky, Zabavsky, Bogdan · 1 citation
Chemistry · Engineering · Mathematics · #13F07 #13G05 #16U60 #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Divisor (algebraic geometry) #Domain (mathematical analysis) #Elementary proof #Engineering #FOS: Mathematics #Mathematical analysis #Mathematics #Pure mathematics #Range (aeronautics) #Ring (chemistry) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Zero divisor #math.AC #math.RA #msc:13F07 #msc:13G05 #msc:16U60
- Completing Segre's proof of Wedderburn's little theorem
2015/03/25 by John Bamberg, Tim Penttila · 2 citations
Mathematics · #Algebra over a field #Commutative property #Elementary proof #Finite Group Theory Research #Geometric and Algebraic Topology #Mathematics #Pure mathematics #Rings, Modules, and Algebras
- A Really Simple Elementary Proof of the Uniform Boundedness Theorem
2010/05/31 by Alan D. Sokal · 1 citation
Computer Science · Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Baire category theorem #Brouwer fixed-point theorem #Elementary proof #Logic, programming, and type systems #Simple (philosophy) #Uniform boundedness #Uniform continuity #Uniform convergence #Uniform limit theorem #math.FA #msc:46B20 #msc:46B28 #msc:46B99
- Tarski’s problem about the elementary theory of free groups has a positive solution
1998/12/14 by Olga Kharlampovich, Alexei Myasnikov · 2 citations
Mathematics · #Geometric and Algebraic Topology #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Elementary theory #Mathematics #Decidability #Group (periodic table) #Elementary proof #Model theory #Infinite group #Free group #Group theory #Pure mathematics #Algebra over a field #Discrete mathematics #Quantum mechanics #Physics #Computer science
- A Short Elementary Proof of the Mohr-Mascheroni Theorem
1994/10/01 by Norbert Hungerbühler · 1 citation
Mathematics · Medicine · #Mathematics and Applications #Analytic and geometric function theory #Point processes and geometric inequalities #Elementary proof #Mathematics #Calculus (dental) #Mathematical economics #Pure mathematics #Medicine
- A Short Elementary Proof of the Mohr-Mascheroni Theorem
1994/10/01 by Norbert Hungerbühler, Norbert Hungerbuhler · 1 citation
Mathematics · Medicine · #Calculus (dental) #Elementary proof #Mathematical economics #Mathematics #Mathematics and Applications #Medicine #Point processes and geometric inequalities #Pure mathematics
- An Elementary Proof of the Square Summability of the Discrete Hilbert Transform
1994/05/01 by Loukas Grafakos · 1 citation
Mathematics · Computer Science · #Algebraic and Geometric Analysis #Matrix Theory and Algorithms #Mathematical Analysis and Transform Methods #Mathematics #Elementary proof #Square (algebra) #Hilbert transform #Pure mathematics #Arithmetic #Algebra over a field #Discrete mathematics #Statistics #Geometry
- An Elementary Proof that the Borromean Rings are Non-Splittable
1993/10/01 by Ollie Nanyes · 2 citations
Computer Science · Mathematics · #Mathematics, Computing, and Information Processing #Geometric and Algebraic Topology #Elementary proof #Mathematical economics #Physics #Theoretical physics #Mathematics #Combinatorics
- Integration of elementary functions
1990/02/01 by Manuel Bronstein · 1 citation
Computer Science · Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic function #Algebraic number #Cryptography and Residue Arithmetic #Discrete mathematics #Elementary function #Elementary proof #Elementary theory #Exponential function #Field (mathematics) #Finite field #Function (biology) #Generalization #Infinity #Integration by parts #Logarithm #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Pure mathematics #Simple (philosophy)
- A short proof of the local Atiyah-Singer index theorem
1986/01/01 by Ezra Getzler · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Atiyah–Singer index theorem #Clifford analysis #Dirac (video compression format) #Dirac operator #Elementary proof #Homotopy and Cohomology in Algebraic Topology #Mathematics #Operator (biology) #Operator theory #Philosophy #Physics #Pure mathematics #Quantum mechanics #Riemann hypothesis #Simple (philosophy)
- An Elementary Proof of the Local Kronecker-Weber Theorem
1981/06/01 by Michael Rosen · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #advanced mathematical theories #Polynomial and algebraic computation #Mathematics #Abelian group #Elementary proof #Abelian extension #Extension (predicate logic) #Pure mathematics #Galois group #Class field theory #Kronecker delta #Field (mathematics) #Local field #Genus field #Discrete mathematics #Galois module #Class (philosophy) #Elementary abelian group #Algebra over a field #Geometry
- An elementary proof of the strong law of large numbers
1981/02/01 by N. Etemadi · 2 citations
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Algebra of random variables #Banach space #Combinatorics #Computer science #Discrete mathematics #Elementary proof #Extension (predicate logic) #Independent and identically distributed random variables #Law of large numbers #Mathematical analysis #Mathematics #Pairwise comparison #Pairwise independence #Probability and Risk Models #Pure mathematics #Random variable #Separable space #Statistics #Stochastic processes and financial applications
- Wolff’s proof of the Corona Theorem
1980/03/01 by T. W. Gamelin · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Analytic proof #Banach space #Bounded function #Complex plane #Corona (planetary geology) #Discrete mathematics #Elementary proof #Geometry #Holomorphic and Operator Theory #Ideal (ethics) #Mathematical analysis #Mathematical proof #Mathematics #Maximal ideal #Meromorphic and Entire Functions #Plane (geometry) #Pure mathematics #Space (punctuation) #Unit (ring theory)
- An Elementary Proof of the Kronecker-Weber Theorem
1974/06/01 by Martin J. Greenberg · 1 citation
Computer Science · Mathematics · Medicine · #Matrix Theory and Algorithms #Elementary proof #Kronecker delta #Mathematics #Analytic proof #Calculus (dental) #Algebra over a field #Pure mathematics #Mathematical proof #Physics #Geometry #Medicine #Quantum mechanics
- A short proof of Mac Lane’s planarity theorem
1973/02/01 by Peter V. O'Neil · 1 citation
Computer Science · Engineering · Mathematics · #Computational Geometry and Mesh Generation #3D Modeling in Geospatial Applications #Graph Theory and Algorithms #Planarity testing #Embedding #Mathematics #Elementary proof #Combinatorics #Discrete mathematics #Computer science #Artificial intelligence
- An elementary proof of p(11m+6)≡0 (mod 11)
1969/01/01 by Lasse Winquist · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Arithmetic #Combinatorics #Discrete mathematics #Elementary proof #Euler's formula #Geometry #Mathematical analysis #Mathematical proof #Mathematics #Mod #Natural number #Series (stratigraphy)
- On an Elementary Proof of Some Asymptotic Formulas in the Theory of Partitions
1942/07/01 by P. Erdös, P. Erdos · 1 citation
Mathematics · #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Asymptotic analysis #Calculus (dental) #Elementary proof #Elementary theory #Mathematical analysis #Mathematics #Mathematics and Applications #Pure mathematics
- An Unsolvable Problem of Elementary Number Theory
1936/04/01 by Alonzo Church · 126 citations
Mathematics · #Advanced Mathematical Theories #Algebra over a field #Calculus (dental) #Computer science #Elementary proof #Elementary theory #History and Theory of Mathematics #Mathematics #Number theory #Pure mathematics