Search results for "Quotient"
showing 10 items of 230 documents
Linear quotients of Artinian Weak Lefschetz algebras
2013
Abstract We study the Hilbert function and the graded Betti numbers for “generic” linear quotients of Artinian standard graded algebras, especially in the case of Weak Lefschetz algebras. Moreover, we investigate a particular property of Weak Lefschetz algebras, the Betti Weak Lefschetz Property, which makes possible to completely determine the graded Betti numbers of a generic linear quotient of such algebras.
VECTOR MEASURES WITH VARIATION IN A BANACH FUNCTION SPACE
2003
Let E be a Banach function space and X be an arbitrary Banach space. Denote by E(X) the Kothe-Bochner function space defined as the set of measurable functions f : Ω → X such that the nonnegative functions ‖f‖X : Ω → [0,∞) are in the lattice E. The notion of E-variation of a measure —which allows to recover the pvariation (for E = Lp), Φ-variation (for E = LΦ) and the general notion introduced by Gresky and Uhl— is introduced. The space of measures of bounded E-variation VE(X) is then studied. It is shown, among other things and with some restriction of absolute continuity of the norms, that (E(X))∗ = VE′ (X ∗), that VE(X) can be identified with space of cone absolutely summing operators fr…
A note on the closed graph theorem
1977
Effects of docosahexaenoic acid and methylmercury on child's brain development due to consumption of fish by Finnish mother during pregnancy: A proba…
2011
Abstract Fish contains both beneficial substances e.g. docosahexaenoic acids but also harmful compounds e.g. methylmercury. Importantly, the health effects caused by these two substances can be evaluated in one common end point, intelligence quotient (IQ), providing a more transparent analysis. We estimated health effects of maternal fish consumption on child’s central nervous system by creating a model with three alternative maternal fish consumption scenarios (lean fish, fatty fish, and current fish consumption). Additionally, we analyzed impacts of both regular fish consumption and extreme fish consumption habits. At the individual level, the simulated net effects were small, encompassin…
Comparative study of sensory modulation vulnerabilities in children with and without ASD in family and school contexts
2018
Background: Children with autism spectrum disorder (ASD) may present sensory processing alterations that are specific to each environment in which they develop, inevitably impacting their daily fun...
L'intelligence de l'enfant : l'empreinte du social
2007
07069; L'intelligence en général, l'intelligence de l'enfant en particulier, sont des questions vives, éternellement en débat. Est-il légitime d'évaluer l'intelligence par un chiffre de QI ? L'intelligence est-elle innée ou acquise ? Quel est le rôle de la famille, de l'école, de la société et de la culture dans la genèse de l'intelligence ? Quels enjeux autour de l'inégalité des capacités intellectuelles? Cet ouvrage fait suite à un premier volume qui présentait les nouvelles avancées de la psychologie cognitive. Il réunit un large éventail de travaux qui analysent le rôle de l'environnement dans la définition et le développement de l'intelligence ; ils pointent aussi les multiples enjeux,…
A cubic defining algebra for the Links–Gould polynomial
2013
Abstract We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links–Gould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.
Abelian Powers and Repetitions in Sturmian Words
2016
Richomme, Saari and Zamboni (J. Lond. Math. Soc. 83: 79-95, 2011) proved that at every position of a Sturmian word starts an abelian power of exponent $k$ for every $k > 0$. We improve on this result by studying the maximum exponents of abelian powers and abelian repetitions (an abelian repetition is an analogue of a fractional power) in Sturmian words. We give a formula for computing the maximum exponent of an abelian power of abelian period $m$ starting at a given position in any Sturmian word of rotation angle $\alpha$. vAs an analogue of the critical exponent, we introduce the abelian critical exponent $A(s_\alpha)$ of a Sturmian word $s_\alpha$ of angle $\alpha$ as the quantity $A(s_\a…
Abelian-Square-Rich Words
2017
An abelian square is the concatenation of two words that are anagrams of one another. A word of length $n$ can contain at most $\Theta(n^2)$ distinct factors, and there exist words of length $n$ containing $\Theta(n^2)$ distinct abelian-square factors, that is, distinct factors that are abelian squares. This motivates us to study infinite words such that the number of distinct abelian-square factors of length $n$ grows quadratically with $n$. More precisely, we say that an infinite word $w$ is {\it abelian-square-rich} if, for every $n$, every factor of $w$ of length $n$ contains, on average, a number of distinct abelian-square factors that is quadratic in $n$; and {\it uniformly abelian-sq…