Results 31 to 40 of about 409,693 (287)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

From Tilings of Orientable Surfaces to Topological Interlocking Assemblies

Applied Sciences
A topological interlocking assembly (TIA) is an assembly of blocks together with a non-empty subset of blocks called the frame such that every non-empty set of blocks is kinematically constrained and can therefore not be removed from the assembly without
Reymond Akpanya, Tom Goertzen, Alice C. Niemeyer   +2 more
doaj   +1 more source

The Zakharov–Shabat Spectral Problem for Complexification and Perturbation of the Korteweg–de Vries Equation

Axioms, 2023
In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina, Arthur R. Zakinyan, Robert G. Zakinyan   +2 more
doaj   +1 more source

Hilbert Space Representation of an Algebra of Observables for q-Deformed Relativistic Quantum Mechanics

, 1994
Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation
B. Drabant, B. Drabant, C. Chryssomalakos, L.D. Fadeev, M. Pillin, O. Ogievetsky, U. Carow-Watamura, W. Zippold   +7 more
core   +1 more source

3D concrete printing of topological interlocking blocks

Materials & Design
In this work the feasibility of combining the concept of topological interlocking assemblies (TIA) with 3D concrete printing is investigated. In TIA, blocks are arranged in a manner that, when kinematically constrained by a surrounding frame, all blocks ...
Tom Goertzen, Tobias Neef, Philipp Scheffler, Domen Macek, Viktor Mechtcherine, Alice C. Niemeyer   +5 more
doaj   +1 more source

Selected Properties of Some Generalizations of BCK Algebras

Discussiones Mathematicae - General Algebra and Applications, 2020
The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
doaj   +1 more source

Topological tensor invariants and the current algebra approach: analysis of 196 nonleptonic two-body decays of single and double charm baryons – a review

European Physical Journal C: Particles and Fields, 2022
We shed new light on the standard current algebra approach to the nonleptonic two-body decays of single and double heavy charm baryons. By making use of the completeness relation for the flavor wave functions of the ground state baryon $$\mathbf{20 ...
Stefan Groote, Jürgen G. Körner
doaj   +1 more source

Beyond the Schwinger boson representation of the su(2)-algebra. I -- New boson representation based on the su(1,1)-algebra and its related problems with application

, 2014
With the use of two kinds of boson operators, a new boson representation of the su(2)-algebra is proposed. The basic idea comes from the pseudo su(1,1)-algebra recently given by the present authors.
da Providencia, Joao, Providencia, Constanca, Tsue, Yasuhiko, Yamamura, Masatoshi   +3 more
core   +1 more source

Higher Spin Symmetries of the Free Schrödinger Equation

Advances in Mathematical Physics, 2016
It is shown that the Schrödinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher spin algebra.
Mauricio Valenzuela
doaj   +1 more source

Exactness of the Fock space representation of the q-commutation relations

, 2010
We show that for all q in the interval (-1,1), the Fock representation of the q-commutation relations can be unitarily embedded into the Fock representation of the extended Cuntz algebra.
A. Nou, Alexandru Nica, D. Shlyakhtenko, D. Shlyakhtenko, E. Ricard, K. Davidson, K. Dykema, M. Bozejko, M. Bozejko, Matthew Kennedy, P. Sniady, P.E.T. Jorgensen   +11 more
core   +1 more source