Search results for "group theory"
showing 10 items of 703 documents
Oscillation of second-order neutral differential equations
2015
Author's version of an article in the journal: Funkcialaj Ekvacioj. Also available from the publisher at: http://www.math.kobe-u.ac.jp/~fe/
Explorations of familiarity produced by words with specific combinations of letters
2010
We explore familiarity-based recognition using a paradigm devised by Parkin et al. (2001). The task consists of the creation of two lists of words written with one of two different subsets of letters of the alphabet. We manipulated study time (50, 100, 200, 500 ms per word) of words with different letter probabilistic structure to those originally used by Parkin et al. Letter-based familiarity responding was robust and present even at rates producing otherwise chance performance. A second experi- ment and structural equation modelling led us to interpret the results from the point of view of a theory that takes into account the processing of similarities and differences (Hunt & MacDaniel, (…
Vassiliev invariants for braids on surfaces
2000
We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of the considered surface.
Automorphisms of $mathbb{A}^{1}$-fibered affine surfaces
2011
We develop technics of birational geometry to study automorphisms of affine surfaces admitting many distinct rational fibrations, with a particular focus on the interactions between automorphisms and these fibrations. In particular, we associate to each surface S of this type a graph encoding equivalence classes of rational fibrations from which it is possible to decide for instance if the automorphism group of S is generated by automorphisms preserving these fibrations.
Correction: Surface induced smectic order in ionic liquids – an X-ray reflectivity study of [C22C1im]+[NTf2]−
2018
Physical chemistry, chemical physics 20(37), 24494 - 24495 (2018). doi:10.1039/C8CP91851A
Approximation von extremalflächenstücken (hyperbolischen typs) durch charakteristische räumliche vierecke
1982
We consider solutions z of the Cauchy-problem for hyperbolic Euler-Lagrange equations derived from a general Lagrangian f(x, y, z; zx, zy) in two independent variables x, y. z is supposed to be an extremal of the corresponding variational problem. Visualizing z as a surface in R3 we give a geometric interpretation of Lewy's well-known characteristic approximation scheme for the numerical solution of second order hyperbolic equations by approximating z via a polyhedral construction built up from subunits which consist of two characteristic triangles having one side in common but lying on different planes in R3. Utilizing ideas from Cartan-geometry one can (in an appropriate sense) introduce …
The European Flag According to Paolo Fabbri
2021
Too often we consider symbols in our cultures to be indivisible monoliths that can only be interpreted through the connotations they take on over time. This is due, on one hand, to their compact nature, the correspondence between the planes of expression and content that make them appear solid, impossible to break down. However, it is also true that in the majority of cases we inherit ready-made symbols that seem to have been born with their current shape, with no hint as to the processes that have made them this way. As a rule, there are so many, varied meanings of the word “symbol” that, in the absence of a clear, consensual hypothesis on what a symbol is, they can be difficult to read. A…
Electronic properties of graphene: A learning path for undergraduate students
2016
The purpose of this work is to present a learning path aimed at deepening student understanding of the fundamental concepts underlying the electronic properties of new materials, graphene in particular. To achieve this task, we propose a five-week long workshop where students may be introduced to fundamental concepts of advanced physics, rarely used in learning paths, such as the symmetry properties of the crystal lattice, the group theory , the features of the free electron wave functions and energy levels, the relativistic Dirac equation. Particular emphasis is given to the manner of introducing these concepts, since an essential knowledge of solid state physics, quantum physics and relat…
Automaton (Semi)groups (Basic Concepts)
2018
In this paper, we give an introduction to basic concepts of automaton semigroups. While we must note that this paper does not contain new results, it is focused on extended introduction in the subject and detailed examples.
Smooth surjections and surjective restrictions
2017
Given a surjective mapping $f : E \to F$ between Banach spaces, we investigate the existence of a subspace $G$ of $E$, with the same density character as $F$, such that the restriction of $f$ to $G$ remains surjective. We obtain a positive answer whenever $f$ is continuous and uniformly open. In the smooth case, we deduce a positive answer when $f$ is a $C^1$-smooth surjection whose set of critical values is countable. Finally we show that, when $f$ takes values in the Euclidean space $\mathbb R^n$, in order to obtain this result it is not sufficient to assume that the set of critical values of $f$ has zero-measure.