920 resultados para Links-Gould invariant
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Research has noted both physical and psychosocial benefits when children participate in regular physical activity. Recent studies are indicating that there may also be academic benefits and that students may be more efficient learners with participation in physical activity. This study investigated the influence of acute moderate-to-vigorous physical activity on four cognitive functions: planning, attention, simultaneous processing, and successive processing. Three classes (59 students) were each tested twice using a balanced design (intervention, balance, and control groups). It was found that the intervention group had a large increase in planning abiHty (ES = 1.67) when compared to the balance (ES = .80) and control (ES = -.89) groups. On the three remaining cognitive functions, the intervention group showed effect sizes similar to that of the balance and control groups. These results indicate that improved planning after physical activity may playa role in improving student performance.
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Survey map and description of Adam Gould's land created by The Welland Canal Company. Included is a written description of the land along with a drawing of the land. Noteable features include; allowance between 4th and 5th concession, line of Northrup's land. Total land mass is 6 acres and 6 perches. The deed for the land is dated May 7th, 1827. Surveyor notes are seen in pencil on the map.
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Symmetry group methods are applied to obtain all explicit group-invariant radial solutions to a class of semilinear Schr¨odinger equations in dimensions n = 1. Both focusing and defocusing cases of a power nonlinearity are considered, including the special case of the pseudo-conformal power p = 4/n relevant for critical dynamics. The methods involve, first, reduction of the Schr¨odinger equations to group-invariant semilinear complex 2nd order ordinary differential equations (ODEs) with respect to an optimal set of one-dimensional point symmetry groups, and second, use of inherited symmetries, hidden symmetries, and conditional symmetries to solve each ODE by quadratures. Through Noether’s theorem, all conservation laws arising from these point symmetry groups are listed. Some group-invariant solutions are found to exist for values of n other than just positive integers, and in such cases an alternative two-dimensional form of the Schr¨odinger equations involving an extra modulation term with a parameter m = 2−n = 0 is discussed.
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[Tesis] (Doctor en Ciencias Biológicas con Especialidad en Ecología) U.A.N.L.
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[Tesis] (Doctor en Ciencias Biológicas con Especialidad en Ecología) U.A.N.L.
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Dans le but d’examiner les mécanismes qui sous-tendent le développement de la sécurité d’attachement chez l’enfant, Grossmann et al. (1999; 2008) proposent une perspective plus vaste de l’étude de l’attachement chez l’enfant, examinant les comportements parentaux pertinents aux deux côtés de l’équilibre entre le système d’attachement et le système d’exploration. La thèse se base sur cette approche pour explorer la relation entre la sécurité d’attachement chez l’enfant et deux comportements maternels, soit la sensibilité maternelle et le soutien à l’autonomie maternel, de même que la relation entre ces deux comportements et l’état d’esprit maternel face à l’attachement. Le premier article propose que la théorie de l’autodétermination, avec ses études empiriques portant sur les comportements parentaux liés à l’exploration, offre une perspective utile pour l’étude des comportements d’exploration dans le cadre de l’équilibre attachement/exploration. L’article présente une revue théorique et empirique des domaines de l’attachement et de la théorie de l’autodétermination et souligne des analogies conceptuelles et empiriques entre les deux domaines, en plus de décrire la façon dont ils se complètent et se complémentent. Le deuxième article étudie les liens entre la sensibilité maternelle, le soutien à l’autonomie maternel et la sécurité d’attachement chez l’enfant. Soixante et onze dyades ont participé à deux visites à domicile. La sensibilité maternelle a été évaluée lorsque les enfants étaient âgés de 12 mois, alors que le soutien à l’autonomie maternel et la sécurité d’attachement chez l’enfant l’ont été lorsque les enfants avaient atteint l’âge de 15 mois. Les résultats indiquent que le soutien à l’autonomie maternel explique une portion significative de la variance de la sécurité d’attachement, et ce, après avoir contrôlé pour la sensibilité maternelle et le statut socio-économique. Le troisième article examine les relations entre deux dimensions de l’état d’esprit maternel face à l’attachement (esquivant et préoccupé/non-résolu), la sensibilité maternelle et le soutien à l’autonomie maternel. Soixante et onze dyades ont participé à trois visites à domicile. L’Entrevue d’Attachement Adulte (EAA) a été administrée lorsque les enfants étaient âgés de 8 mois, la sensibilité maternelle a été évaluée alors qu’ils avaient atteint l’âge de 12 mois et le soutien à l’autonomie maternel, lorsqu’ils avaient 15 mois. Les résultats révèlent qu’après avoir contrôlé pour le statut socio-économique, la sensibilité maternelle est liée de façon négative à la dimension « esquivant » de l’EAA, alors que le soutien à l’autonomie maternel est lié de façon négative à la dimension « préoccupé/non-résolu ». Les résultats présentés dans le deuxième et le troisième article sont discutés, de même que de leurs répercussions théoriques et cliniques. Des questions susceptibles de guider des recherches futures sont proposées.
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Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal
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A measure of association is row-size invariant if it is unaffected by the multiplication of all entries in a row of a cross-classification table by a same positive number. It is class-size invariant if it is unaffected by the multiplication of all entries in a class (i.e., a row or a column). We prove that every class-size invariant measure of association as-signs to each m x n cross-classification table a number which depends only on the cross-product ratios of its 2 x 2 subtables. We propose a monotonicity axiom requiring that the degree of association should increase after shifting mass from cells of a table where this mass is below its expected value to cells where it is above .provided that total mass in each class remains constant. We prove that no continuous row-size invariant measure of association is monotonic if m ≥ 4. Keywords: association, contingency tables, margin-free measures, size invariance, monotonicity, transfer principle.
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Un algorithme permettant de discrétiser les équations aux dérivées partielles (EDP) tout en préservant leurs symétries de Lie est élaboré. Ceci est rendu possible grâce à l'utilisation de dérivées partielles discrètes se transformant comme les dérivées partielles continues sous l'action de groupes de Lie locaux. Dans les applications, beaucoup d'EDP sont invariantes sous l'action de transformations ponctuelles de Lie de dimension infinie qui font partie de ce que l'on désigne comme des pseudo-groupes de Lie. Afin d'étendre la méthode de discrétisation préservant les symétries à ces équations, une discrétisation des pseudo-groupes est proposée. Cette discrétisation a pour effet de transformer les symétries ponctuelles en symétries généralisées dans l'espace discret. Des schémas invariants sont ensuite créés pour un certain nombre d'EDP. Dans tous les cas, des tests numériques montrent que les schémas invariants approximent mieux leur équivalent continu que les différences finies standard.
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For the discrete-time quadratic map xt+1=4xt(1-xt) the evolution equation for a class of non-uniform initial densities is obtained. It is shown that in the t to infinity limit all of them approach the invariant density for the map.
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It is shown that the invariant integral, viz., the Kolmogorov second entropy, is eminently suited to characterize EEG quantitatively. The estimation obtained for a "clinically normal" brain is compared with a previous result obtained from the EEG of a person under epileptic seizure.
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In this thesis we are studying possible invariants in hydrodynamics and hydromagnetics. The concept of flux preservation and line preservation of vector fields, especially vorticity vector fields, have been studied from the very beginning of the study of fluid mechanics by Helmholtz and others. In ideal magnetohydrodynamic flows the magnetic fields satisfy the same conservation laws as that of vorticity field in ideal hydrodynamic flows. Apart from these there are many other fields also in ideal hydrodynamic and magnetohydrodynamic flows which preserves flux across a surface or whose vector lines are preserved. A general study using this analogy had not been made for a long time. Moreover there are other physical quantities which are also invariant under the flow, such as Ertel invariant. Using the calculus of differential forms Tur and Yanovsky classified the possible invariants in hydrodynamics. This mathematical abstraction of physical quantities to topological objects is needed for an elegant and complete analysis of invariants.Many authors used a four dimensional space-time manifold for analysing fluid flows. We have also used such a space-time manifold in obtaining invariants in the usual three dimensional flows.In chapter one we have discussed the invariants related to vorticity field using vorticity field two form w2 in E4. Corresponding to the invariance of four form w2 ^ w2 we have got the invariance of the quantity E. w. We have shown that in an isentropic flow this quantity is an invariant over an arbitrary volume.In chapter three we have extended this method to any divergence-free frozen-in field. In a four dimensional space-time manifold we have defined a closed differential two form and its potential one from corresponding to such a frozen-in field. Using this potential one form w1 , it is possible to define the forms dw1 , w1 ^ dw1 and dw1 ^ dw1 . Corresponding to the invariance of the four form we have got an additional invariant in the usual hydrodynamic flows, which can not be obtained by considering three dimensional space.In chapter four we have classified the possible integral invariants associated with the physical quantities which can be expressed using one form or two form in a three dimensional flow. After deriving some general results which hold for an arbitrary dimensional manifold we have illustrated them in the context of flows in three dimensional Euclidean space JR3. If the Lie derivative of a differential p-form w is not vanishing,then the surface integral of w over all p-surfaces need not be constant of flow. Even then there exist some special p-surfaces over which the integral is a constant of motion, if the Lie derivative of w satisfies certain conditions. Such surfaces can be utilised for investigating the qualitative properties of a flow in the absence of invariance over all p-surfaces. We have also discussed the conditions for line preservation and surface preservation of vector fields. We see that the surface preservation need not imply the line preservation. We have given some examples which illustrate the above results. The study given in this thesis is a continuation of that started by Vedan et.el. As mentioned earlier, they have used a four dimensional space-time manifold to obtain invariants of flow from variational formulation and application of Noether's theorem. This was from the point of view of hydrodynamic stability studies using Arnold's method. The use of a four dimensional manifold has great significance in the study of knots and links. In the context of hydrodynamics, helicity is a measure of knottedness of vortex lines. We are interested in the use of differential forms in E4 in the study of vortex knots and links. The knowledge of surface invariants given in chapter 4 may also be utilised for the analysis of vortex and magnetic reconnections.