Results 41 to 50 of about 24,029 (191)
Cyclic Foam Topological Field Theories
, 2009 This paper proposes an axiomatic for Cyclic Foam Topological Field theories. That is Topological Field theories, corresponding to String theories, where particles are arbitrary graphs.
Alekseevskii +22 more
core +1 more source
Hilbertian Frobenius algebras [PDF]
Communications in Algebra, 2021 Commutative Hilbertian Frobenius algebras are those commutative semi-group objects in the monoidal category of Hilbert spaces, for which the Hilbert adjoint of the multiplication satisfies the Frobenius compatibility relation, that is, this adjoint is a bimodule map. In this note we prove that they split as an orthogonal direct sum of two closed ideals,
openaire +3 more sources
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Classical Copying versus Quantum Entanglement in Natural Language: The Case of VP-ellipsis [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 This paper compares classical copying and quantum entanglement in natural language by considering the case of verb phrase (VP) ellipsis. VP ellipsis is a non-linear linguistic phenomenon that requires the reuse of resources, making it the ideal test case
Gijs Wijnholds, Mehrnoosh Sadrzadeh
doaj +1 more source
On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
doaj +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To improve slice profile consistency across echo trains in turbo spin echo (TSE) imaging, thereby reducing image blurring and increasing the accuracy of multi echo spin echo T2$$ {T}_2 $$ mapping. Methods Excitation and refocusing RF pulses were optimized for TSE using a differentiable extended phase graph model that incorporates the ...
Madison M. Augelli +3 more
wiley +1 more source
Frobenius Modules Associated to Algebra Automorphisms
MathematicsHere, we study Frobenius bimodules associated with a pair of automorphisms of an algebra and discuss their basic properties. In particular, some equivalent conditions for a finite-dimensional bimodule are proved to be Frobenius and some isomorphisms ...
Ji-Wei He, Chenglong Rong
doaj +1 more source
The ABCD of topological recursion
, 2017 Kontsevich and Soibelman reformulated and slightly generalised the topological recursion of math-ph/0702045, seeing it as a quantization of certain quadratic Lagrangians in $T^*V$ for some vector space $V$.
Andersen, Jorgen Ellegaard +3 more
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
wiley +1 more source
Graphical Classification of Entangled Qutrits [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 A multipartite quantum state is entangled if it is not separable. Quantum entanglement plays a fundamental role in many applications of quantum information theory, such as quantum teleportation.
Kentaro Honda
doaj +1 more source