Essays about: "Algebra"

Showing result 26 - 30 of 279 essays containing the word Algebra.

  1. 26. Persistent Homology : A Modern Application of Algebraic Topology in Data Analysis

    University essay from

    Author : Staffan Leijnse; [2023]
    Keywords : Data; Algebraic Topology; Persistent; Homology; Graded; Representation;

    Abstract : Topological data analysis emerged as a field in the 2000s and has proven very useful for examining the shape of data sets. Using persistent homology as their main methodology researchers has succesfully applied the theory presented in this paper to study as varied subjects as robot motion, brain connectivity, network theory, finger print analysis and computer vision. READ MORE

  3. 27. Benchmarking linear-algebra algorithms on CPU- and FPGA-based platforms

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Omar Askar Vergara; Karl Törnblom Bartholf; [2023]
    Keywords : FPGA; OpenCL; PolyBench; Cholesky; Durbin;

    Abstract : Moore’s law is the main driving factor behind the rapid evolution of computers that has been observed in the past 50 years. Though the law is soon ending due to heat- and sizing-related issues. One solution to continuing the evolution is utilizing alternative computer hardware, where parallel hardware is especially interesting. READ MORE

  4. 28. On Lie groups, Algebra, and the construction of an exceptional Lie group

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Elias Berg; [2023]
    Keywords : ;

    Abstract : An overview of some concepts regarding Lie groups, Lie algebra, culminating in the construction of an exceptional Lie group .... READ MORE

  5. 29. Zero Spectrum Subalgebras of K[x] Described by Higher Derivatives

    University essay from Lunds universitet/Matematik LTH

    Author : Erik Kennerland; [2023]
    Keywords : Algebra; Almost Monomial Subalgebra; Derivation; Lower Degree; Lower Semigroup; Subalgebra Spectrum; Truncation; Mathematics and Statistics;

    Abstract : Unital subalgebras of finite codimension in the polynomial ring $\mathbb{K}[x]$ are described by a finite number of so called subalgebra conditions over a finite set in $\mathbb{K}$ named the subalgebra spectrum. Restricting attention to subalgebras whose spectrum is the singleton $\{0\}$ reveals a rather well behaved class of subalgebras, called almost monomial from the fact that these contain an ideal consisting of all monomials above a certain degree. READ MORE

  6. 30. Matrix Chain Multiplications and Temporary Storage

    University essay from Umeå universitet/Institutionen för datavetenskap

    Author : Emil Nilsson; [2023]
    Keywords : ;

    Abstract :     Evaluating an expression in linear algebra using the known Basic Linear Algebra Subprograms library often requires temporary storage to hold intermediate results. However, matrix chain multiplication is typically analyzed in terms of time complexity, with the goal of minimizing the number of floating point operations (flops) for an expression. READ MORE