Search for dissertations about: "ALGEBRA IMPORTANCE"

Showing result 1 - 5 of 13 swedish dissertations containing the words ALGEBRA IMPORTANCE.

2. 1. Matrix Algebra for Quantum Chemistry

   Author : Emanuel H. Rubensson; Pawel Salek; Stefan Goedecker; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; linear scaling; reduced complexity; electronic structure; density functional theory; Hartree-Fock; density matrix purification; congruence transformation; inverse factorization; eigenvalues; eigenvectors; numerical linear algebra; occupied subspace; canonical angles; invariant subspace; Theoretical chemistry; Teoretisk kemi;

   Abstract : This thesis concerns methods of reduced complexity for electronic structure calculations.  When quantum chemistry methods are applied to large systems, it is important to optimally use computer resources and only store data and perform operations that contribute to the overall accuracy. READ MORE

4. 2. Algebra in upper secondary mathematics : a study of a selection of textbooks used in the years 1960-2000 in Sweden

   Author : Teresia Jakobsson-Åhl; Luleå tekniska universitet; []
   Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Mathematics Education; Matematik och lärande;

   Abstract : The research interest in this licentiate thesis is the development of school algebra in the Swedish upper-secondary school. To be more precise, the notion of school algebra, in the period 1960-2000, is described and analyzed through the study of mathematics textbooks and their revisions as a consequence of curricular reforms. READ MORE

5. 3. Decontextualized language, logic, and algebra : the relationship between Mozambican students’ achievement in school mathematics and their language and social background

   Author : Ribas Salatiel Madaucane Guambe; Núria Planas; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Mathematics Education; Matematik och lärande;

   Abstract : Researchers in mathematics education have always stressed the relevance of algebra in school mathematics and have produced a wide range of empirical and theoretical outcomes in relation to this field. In addition, the importance of language proficiency for success in school mathematics has been explored in a variety of different contexts, as has been the relation between students’ social class and achievement in mathematics. READ MORE

6. 4. Algorithms in data mining using matrix and tensor methods

   Author : Berkant Savas; Lars Eldén; Lieven De Lathauwer; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Volume; Minimization criterion; Determinant; Rank deficient matrix; Reduced rank regression; System identification; Rank reduction; Volume minimization; General algorithm; Handwritten digit classification; Tensors; Higher order singular value decomposition; Tensor approximation; Least squares; Tucker model; Multilinear algebra; Notation; Contraction; Tensor matricization; Newton s method; Grassmann manifolds; Product manifolds; Quasi-Newton algorithms; BFGS and L-BFGS; Symmetric tensor approximation; Local intrinsic coordinates; Global embedded coordinates; ; Numerical analysis; Numerisk analys;

   Abstract : 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. READ MORE

7. 5. On one-dimensional dynamical systems and commuting elements in non-commutative algebras

   Author : Alex Behakanira Tumwesigye; Sergei Silvestrov; Johan Richter; Linus Carlsson; Viktor Abramov; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Commutativity; dynamical systems; commutant; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Abstract : This thesis work is about commutativity which is a very important topic in mathematics, physics, engineering and many other fields. Two processes are said to be commutative if the order of "operation" of these processes does not matter. READ MORE