Results 11 to 20 of about 4,561 (232)
The complex stacking disorder of Fe- and Ru-based 1,1'-(3,6-pyrazabolyl)metallocenes. [PDF]
Acta Crystallogr B Struct Sci Cryst Eng MaterThe ferrocene Fc(BHpz)2 and the ruthenocene Rc(BHpz)2 belong to the same order–disorder (OD) polytype family and feature a complex stacking disorder, with different ordered and disordered domains in the same crystal.1,1′‐(3,6‐Pyrazabolyl)ferrocene [Fc(BHpz)2] and the corresponding ruthenocene [Rc(BHpz)2] crystallize as order–disorder (OD) structures ...
Stöger B, Virovets A, Wenisch M.
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OD (order-disorder) interpretation and diffuse scattering analysis of an organic polytype with allotwin character: a detailed how-to. [PDF]
Acta Crystallogr B Struct Sci Cryst Eng MaterThe complex stacking disorder of 2,3‐dihydroxy‐1,3,4‐trimethyl‐6‐oxo‐1,4‐cyclohexadiene‐1‐carboxylic is analyzed by applying the order–disorder theory and its diffuse scattering is interpreted using a growth model.2,3‐Dihydroxy‐1,3,4‐trimethyl‐6‐oxo‐1,4‐cyclohexadiene‐1‐carboxylic acid crystallizes in an order–disorder (OD) structure with a high ...
Fröschl D +4 more
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Antiassociative groupoids [PDF]
MATHEMATICA BOHEMICA, 2016 Given a groupoid $< G, \star >$, and $k \geq 3$, we say that $G$ is antiassociative iff for all $x_1, x_2, x_3 \in G$, $(x_1 \star x_2) \star x_3$ and $x_1 \star (x_2 \star x_3)$ are never equal. Generalizing this, $< G, \star >$ is $k$-antiassociative iff for all $x_1, x_2, ...
Milton Braitt +2 more
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Motion Groupoids and Mapping Class Groupoids
Communications in Mathematical Physics, 2023 AbstractHere $${\underline{M}}$$ M ̲ denotes a pair (M, A) of a manifold and a subset (e.g. $$A=\partial M$$ A = ∂ M or $$A=\
Fiona Torzewska +2 more
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The groupoid structure of groupoid morphisms [PDF]
Journal of Geometry and Physics, 2019 28 pages; Final version, to appear in JGP; An appendix is added to discuss the topology of the morphism groupoid; Title ...
Bohui Chen, Cheng-Yong Du, Rui Wang
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Communications in Mathematical Physics, 2001 We introduce a general notion of quantum universal enveloping algebroids (QUE algebroids), or quantum groupoids, as a unification of quantum groups and star-products. Some basic properties are studied including the twist construction and the classical limits.
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Holonomy, extendibility, and the star universal cover of a topological groupoid
Applied General Topology, 2003 Let G be a groupoid and W be a subset of G which contains all the identities and has a topology. With some conditions on G and W, the pair (G;W) is called a locally topological groupoid.
Osman Mucuk, Ilhan Icen
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Fundamental Groupoids for Graphs [PDF]
Categories and General Algebraic Structures with Applications, 2022 In recent years several notions of discrete homotopy for graphs have been introduced, including a notion of ×-homotopy due to Dochtermann. In this paper, we define a ×-homotopy fundamental groupoid for graphs, and prove that it is a functorial ×-homotopy
Tien Chih, Laura Scull
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Extendibility, monodromy, and local triviality for topological groupoids
International Journal of Mathematics and Mathematical Sciences, 2001 A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all maps of groupoid structure are continuous.
Osman Mucuk, İlhan İçen
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Encryption and decryption algorithm based on the Latin groupoid isotopes
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 This paper studies encryption and decryption algorithm, using isotopes of Latin groupoid. Cryptographic algorithms are computationally intensive processes which consume large amount of CPU time and space during the process of encryption and decryption ...
Liubomir Chiriac +2 more
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