Search results for "algebra"
showing 10 items of 4129 documents
Exponentiating derivations of quasi∗-algebras: possible approaches and applications
2005
The problem of exponentiating derivations of quasi∗-algebras is considered in view of applying it to the determination of the time evolution of a physical system. The particular case where observables constitute a properCQ∗-algebra is analyzed.
Ryhmä SO(3) ja sen lineaariset redusoitumattomat esitykset
2014
Ryhmät ovat yksinkertaisina mutta elegantteina algebrallisina rakenteina jo pitkään olleet keskeinen osa niin puhdasta kuin sovellettuakin matematiikkaa. Erityisesti ryhmät soveltuvat erilaisten symmetrioiden esittämiseen. Ryhmien esitysteoriassa voidaan ryhmien rakennetta koskevia ongelmia palauttaa lineaarialgebran ongelmiksi, jotka ovat hyvin ratkaistavissa. Tämä tapahtuu kuvaamalla ryhmä homomorfisesti lineaarikuvausten ryhmään. Osoittautuu myös mielenkiintoiseksi tutkia jo itsessään lineaarikuvauksista muodostuvien ryhmien epätriviaaleja lineaarisia esityksiä. Erityisen tarkastelun kohteena tutkielmassa on klassinen matriisiryhmä SO(3), joka siis koostuu avaruuden ℝ3 rotaatiokuva…
Voisinages tubulaires épointés et homotopie stable à l'infini
2022
We initiate a study of punctured tubular neighborhoods and homotopy theory at infinity in motivic settings. We use the six functors formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our main computational tools include cdh-descent for normal crossing divisors, Euler classes, Gysin maps, and homotopy purity. Under-adic realization, the motive at infinity recovers a formula for vanishing cycles due to Rapoport-Zink; similar results hold for Steenbrink's limiting Hodge structures and Wildeshaus' boundary motives. Under the topological Betti realization, the stable motivic homotopy type at infinity of an algebraic variety recovers…
MR3631681 Reviewed Nigsch, E. A.(A-WIENM) On a nonlinear Peetre's theorem in full Colombeau algebras. (English summary) Comment. Math. Univ. Carolin.…
2017
Colombeau algebras are defined as quotients of spaces containing the representatives of generalized functions given by smooth mappings: R:C∞(Ω,D(Ω))→C∞(Ω), where Ω is an open subset of Rn. In this paper the notion of locality defined by the author for a representative R of a nonlinear generalized function is characterized in such a way that the representative depends only on its ∞-jet. Finally, the author examines the possibility of defining a notion of order for the mapping R.
Tapaustutkimus 7.-luokkalaisten algebrallisesta yleistämisestä
2015
Algebra on suomalaisten oppilaiden heikko alue. Toisaalta tutkimukset viittaavat siihen, että oppilaat voivat muodostaa algebrallisia ideoita tavanomaista aikaisemmin. Tämän tutkimuksen tavoitteena on selvittää, millaisia algebrallisia ideoita oppilaat muodostavat tutkiessaan funktioita 7. luokalla. Tutkimuksessa toteutettiin kahden oppitunnin opetusjakso lineaarisista ja epälineaarisista funktioista. Tunnit videoitiin, oppilaiden puhe nauhoitettiin ja oppilaiden kirjalliset tuotokset kerättiin. Tulosten mukaan oppilaat näyttivät olevan valmiita funktioiden käsittelyyn ja he muodostivat useita matemaattisia ideoita funktioista. Oppilaiden välillä oli kuitenkin eroja. Joillekin lineaariset f…
Tidlig algebra : en studie av tidlig algebra med elever på 6. trinn
2016
Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 The main theme for the research described in this thesis is early algebra. Early algebra is a phase that could fit the gap between arithmetic and algebra. Early algebra includes algebraic reasoning, such as analyzing relationships between quantities, noticing structure, studying change, or generalizing, without a need to use symbols. In my Theoretical Frame, I define the terms early algebra, algebraic thinking, and generalization; I explain the differences between early algebra and pre-algebra, and I go into the relationships between arithmetic and algebra. To gain insight into early algebra, I have studied how pupils in 6th gra…
A role for backward transitional probabilities in word segmentation?
2008
A number of studies have shown that people exploit transitional probabilities between successive syllables to segment a stream of artificial continuous speech into words. It is often assumed that what is actually exploited are the forward transitional probabilities (given XY, the probability that X will be followed by Y ), even though the backward transitional probabilities (the probability that Y has been preceded by X) were equally informative about word structure in the languages involved in those studies. In two experiments, we showed that participants were able to learn the words from an artificial speech stream when the only available cues were the backward transitional probabilities.…
Definition, aims, and implementation of GA [sup] 2 LEN/HAEi Angioedema Centers of Reference and Excellence
2020
This document summarizes the aims of GA2 LEN/HAEi Angioedema Centers of Reference and Excellence (ACAREs) and elaborates the requirements that ACAREs must fulfill to become certified. It also provides (see Appendix S1) background information on GA2LEN and HAEi, including HAEi member organizations and regional patient advocates, on why we need an Angioedema Center of Reference and Excellence (ACARE) program and network, and on the accreditation and certification process, governance and funding, and on the interaction with other GA2LEN networks of centers of reference and excellence. The protocols, aims, requirements, and provisions related to becoming a certified CARE are based on (a) the ex…
Guide to evidence-based physical therapy practice
2009
Dianne V. Jewell. Guide to evidence-based physical therapy practice. Jones and Barlett Publishers, Sudbury, MA. 2008. ISBN-13:978-0-7637-3443-5 (soft cover). 480 pages. Price $55.95 The author's go...
4-Manifold topology II: Dwyer's filtration and surgery kernels
1995
Even when the fundamental group is intractable (i.e. not "good") many interesting 4-dimensional surgery problems have topological solutions. We unify and extend the known examples and show how they compare to the (presumed) counterexamples by reference to Dwyer's filtration on second homology. The development brings together many basic results on the nilpotent theory of links. As a special case, a class of links only slightly smaller than "homotopically trivial links" is shown to have (free) slices on their Whitehead doubles.