Results 101 to 110 of about 1,925,109 (294)
Expanding Chemistry of Expanded Helicenes
Chemistry – A European Journal, EarlyView.This review presents recent advances in the chemistry of expanded helicenes, defined as helicenes containing linearly fused benzene rings, as novel aromatic compounds. This review begins with a summary of their structural classification, followed by the synthesis, structures, properties, and chiroptical performance of expanded helicenes of various ...
Shinji Toyota
wiley +1 more source
How to measure statistical evidence and its strength: Bayes factors or relative belief ratios?
Canadian Journal of Statistics, EarlyView.Abstract Both the Bayes factor and the relative belief ratio satisfy the principle of evidence and are therefore valid measures of statistical evidence. Which of these measures of evidence is more appropriate? We argue here that there are questions concerning the validity of a commonly used definition of the Bayes factor based on a mixture prior, and ...
Luai Al‐Labadi +2 more
wiley +1 more source
The symplectic and algebraic geometry of Horn's problem [PDF]
, 2022 Allen Knutson
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Subuniformity of harmonic mean p$$ p $$‐values
Canadian Journal of Statistics, EarlyView.Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
wiley +1 more source
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Toric degenerations: a bridge between representation theory, tropical\n geometry and cluster algebras [PDF]
, 2018 Lara Bossinger
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Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces
, 2006 We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the problem ...
Robin Hartshorne, Ronald, Van Luijk
core +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Dynamic geometry: An agent for the reunification of algebra and geometry
Pythagoras, 2005 This paper investigates the degree of separation or unity between the algebraic and geometric modes of thought of students in tertiary education. Case studies indicate that as a student is inducted into the use of algebra the insightful and visual ...
Meira Hockman
doaj +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source