Sökning: "tensor product"

Visar resultat 6 - 10 av 22 avhandlingar innehållade orden tensor product.

  1. 6. Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice

    Författare :Anna Ida Säfström; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Mathematical competence; exercising competencies; young children; whole number arithmetic; tertiary level; proving; highest weight representation; tensor product decomposition; skew-symmetric matrix; moment map; infinite dimensional unitary representation; highest weight representation;

    Sammanfattning : This thesis assembles two papers in mathematics and two papers in mathematics education. In the mathematics part, representation theory is practised. Two Clebsch-Gordan type problems are addressed. LÄS MER

  3. 7. Algorithms in data mining : reduced rank regression and classification by tensor methods

    Författare :Berkant Savas; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. LÄS MER

  4. 8. Simulation of Electro-Optic Modulators by a Time-Domain Beam-Propagation Method

    Författare :Elin Solberg; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; time-domain beam-propagation method; finite element method; tensor products; computational electromagnetics; photonics; electro-optic modulators; finite element method;

    Sammanfattning : Electro-optic modulators (EOMs) are components which convert electric signals to optical ones. They are needed, e.g., at the transmitter end of fiber-optic communication systems and in time-stretch analog-to-digital converters. LÄS MER

  5. 9. BRST and Topological Gauge Theories

    Författare :Niclas Sandström; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gauge theory; BRST-quantization; topological field theory; BV-quantization; almost product structure APS ; superfield formulation;

    Sammanfattning : In this thesis, the BRST-quantization of gauge theories is discussed. A detailed analysis of the BRST-quantization on inner product spaces is performed for a class of abelian models, including reparametrization invariant ones. General rules how to obtain physical wave functions and propagators are proposed. LÄS MER

  7. 10. Simple sl_{n+1}-module structures on U(h)

    Författare :Jonathan Nilsson; Volodymyr Mazorchuk; Olivier Mathieu; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We study the category M consisting of U(sl_{n+1})-modules whose restriction to U(h) is free of rank 1, in particular we classify isomorphism classes of objects in M and determine their submodule structure. This leads to new sl_{n+1}-modules. LÄS MER