11,181 research outputs found
On Artin's braid group and polyconvexity in the calculus of variations
Let Ω â 2 be a bounded Lipschitz domain and let
F : Ω Ă 2Ă2
+
ââ
be a CarathĂšodory integrand such that F (x, ·) is polyconvex for L2-a.e. x â Ω. Moreover assume that
F is bounded from below and satisfies the condition F (x, Ο) â as det Ο 0 for L2-a.e. x â Ω. The paper describes the effect of domain topology on the existence and multiplicity of strong local minimizers of the functional
[u] :=
Ω
F (x,âu (x)) dx,
where the map u lies in the Sobolev space W1,p
id (Ω,2) with p 2 and satisfies the pointwise condition
det âu (x) > 0 for L2-a.e. x â Ω. The question is settled by establishing that [·] admits a set of strong
local minimizers on W1,p id (Ω,2) that can be indexed by the group n â n, the direct sum of Artinâs pure braid group on n strings and n copies of the infinite cyclic group. The dependence on the domain topology is through the number of holes n in Ω and the different mechanisms that give rise to such local minimizers are fully exploited by this particular representation
Native and non-native speakers of English in summarising expository texts
This study examines how native and non-native English speakers summarise expository texts. It investigates if there is any difference in quality between the summaries produced by two groups of students; namely native speakers of English, who acquire the language in early childhood and have their education (from kindergarten / grade 1 to high school) in English, and non-native speakers, who acquire the language in an ESL/EFL context. The sample consisted of seventy undergraduates from a private Malaysian university,
comprising thirty-five native and thirty-five non-native speakers of English. Data for the study include summaries by students, response to teacher and student questionnaires as well as interviews with both teachers and students. The results of the study revealed that there was a significant difference in the quality of summaries of native and non-native English speakers in expository text
Recommended from our members
On the existence and multiplicity of topologically twisting incompressible -harmonic maps and a structural H-condition
No description supplie
Nostalgia, reflexivity, and the narratives of self : reflections on Devine's 'removing the rough edges?'
This paper offers some theoretical insights on Devineâs account of the Riverside Museum in Glasgow. It elaborates on three interrelated themes authors have derived from Devineâs report: 1) how historical representations arouse nostalgic sensations and sensibilities in museum visitors 2) the role of narratives in visitorsâ development of their nostalgic experiences 3) the importance of engagement to the creation of such nostalgic experiences. The paper contributes to the existing literature on nostalgia, experiential consumption, and the museum experience literature by establishing a relationship between nostalgia, reflexivity, and individualsâ narratives of self
Marketing applications: from Angry Birds to happy marketers
This marketing teaching case is focussed on the rapidly emergent industry associated with Apps for mobile devices. After setting the context in respect of the awe-inspiring numbers associated with these markets the case is made that innovative marketing is happening across all parts of the basic marketing framework â the 4Ps. The case presents many specific examples of marketing related decision making and outcomes, focussing on games-Apps such as Rovioâs best-selling Angry Birds game
Zero divisors and units with small supports in group algebras of torsion-free groups
We associate a graph to a possible non-zero zero-divisor in the group algebra
of a torsion-free group.Comment: to appear in Communications in Algebra. arXiv admin note: substantial
text overlap with arXiv:1612.0093
Zero divisors of support size in group algebras and trinomials divided by irreducible polynomials over
A famous conjecture about group algebras of torsion-free groups states that
there is no zero divisor in such group algebras. A recent approach to settle
the conjecture is to show the non-existence of zero divisors with respect to
the length of possible ones, where by the length we mean the size of the
support of an element of the group algebra. The case length cannot be
happen. The first unsettled case is the existence of zero divisors of length
. Here we study possible length zero divisors in rational group algebras
and in the group algebras over the field with elements for some prime
- âŠ