Visualization of finite groups: The case of the Rubik's cube and supporting properties in GeoGebra
Journal of Research and Advances in Mathematics EducationIn this text, we present a discussion about the Rubik's Cube and its relationship with Group Theory, particularly permutation groups, as well as possibilities for exploring it using the GeoGebra software interface.
Renata Teófilo de Sousa +2 more
doaj +1 more source
Invariance principle on the slice [PDF]
, 2016 We prove an invariance principle for functions on a slice of the Boolean cube, which is the set of all vectors {0,1}^n with Hamming weight k. Our invariance principle shows that a low-degree, low-influence function has similar distributions on the slice,
Filmus, Yuval +3 more
core +3 more sources
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
The Alliance between Mengu-Timur and Abaga: The Problem of Sources Interpretation and Translation of Persian and Turkic Terms in Arabic Texts (on the example of “Collection of Materials Relating to the Golden Horde History. Volume I. Excerpts from the Arabic Writings” composed by V.G. Tiesenhausen) » [PDF]
Золотоордынское обозрение, 2015 The Turkish author Ihsan Fazlioğlu presents to attention of readers the second part of the article “A Masterpiece of Computational Mathematics” (“et-Tuhfe fî ilmi’l-hisâb”).
Ihsan Fazlioğlu
doaj
An Efficient and Unified Modeling Framework for Trickle Bed Reactors: A Modular Approach
Chemie Ingenieur Technik, EarlyView.This review gives an insight in modeling and designing techniques for multiphase catalytic reactors and their associated limitations and potential improvements. To enhance the predictive capabilities and capture events that take place on different scales, a modular approach is proposed.
Vasileios K. Mappas +4 more
wiley +1 more source
The First Mathematical Book in the Golden Horde State: A Masterpiece of Computational Mathematics (“et-Tuhfe fî ilmi’l-hisâb”) (1) [PDF]
Золотоордынское обозрение, 2014 The author of this article represents the first example of the scientific activity in the Golden Horde, which began before Janibeg khan and during the reign of his father, Uzbek khan.
Ihsan Fazlioglu
doaj
Towards a homotopy theory of process algebra
, 2008 This paper proves that labelled flows are expressive enough to contain all process algebras which are a standard model for concurrency. More precisely, we construct the space of execution paths and of higher dimensional homotopies between them for every ...
Gaucher, Philippe
core +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
Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
, 2017 We prove that uniformly locally finite quasigeodesic coarse median spaces of finite rank and at most exponential growth have Property A. This offers an alternative proof of the fact that mapping class groups have property A.Comment: 15 pages; minor ...
Spakula, Jan, Wright, Nick
core +2 more sources