"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]
Plotnitsky A.
europepmc +1 more source
Parallel Architecture: From Problems and Mysteries to Solutions and Explanations
Abstract We argue that Jackendoff's Parallel Architecture (PA) is the right way to think about the architecture of the language faculty. The critical property of this architecture is that it allows for genuine explanation by allocating different aspects of linguistic phenomena to appropriate corresponding representations and capacities.
Peter W. Culicover, Giuseppe Varaschin
wiley +1 more source
A topological method of generating action potentials and electroencephalography oscillations in a surface network. [PDF]
Sen S.
europepmc +1 more source
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
Analyzing solitary wave solutions of the nonlinear Murray equation for blood flow in vessels with non-uniform wall properties. [PDF]
Inc M+6 more
europepmc +1 more source
Rational normal curves in weighted projective space
Abstract This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstandard versions of quadratic generation and the Koszul property.
Caitlin M. Davis, Aleksandra Sobieska
wiley +1 more source
The Programmable Nature of Drug-Polymer Systems and Its Implications. [PDF]
Ghizdovat V+7 more
europepmc +1 more source
The weak Lefschetz property for artinian Gorenstein algebras
Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley +1 more source
Some remarks about deformation theory and formality conjecture. [PDF]
Chen H, Pertusi L, Zhao X.
europepmc +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source