Essays about: "iterates"

Showing result 1 - 5 of 12 essays containing the word iterates.

  1. 1. A Borel-Cantelli lemma for non-stationary dynamical systems

    University essay from Lunds universitet/Matematik LTH

    Author : Teodor Åberg; [2023]
    Keywords : Borel-Cantelli lemmas; Dynamical systems; Mathematics and Statistics;

    Abstract : In this thesis we present a Borel–Cantelli lemma for dynamical systems such that the dynamics driving the system varies with time. These results are largely based on a decomposition of transfer operators produced by Rychlik. Some limitations on the structure of sequences that is necessary for the results is given some discussion. READ MORE

  3. 2. Minimum Cost Distributed Computing using Sparse Matrix Factorization

    University essay from KTH/Optimeringslära och systemteori

    Author : Seif Hussein; [2023]
    Keywords : Applied mathematics; optimization; convex optimization; matrix factorization; sparse matrix factorization; distributed computing; linearly separable distributed computing; ADMM; alternating direction method of multipliers; tillämpad matematik; optimering; konvex optimering; matrisfaktorisering; gles matrisfaktorisering; distribuerade beräkningar; admm; alternating direction method of multipliers;

    Abstract : Distributed computing is an approach where computationally heavy problems are broken down into more manageable sub-tasks, which can then be distributed across a number of different computers or servers, allowing for increased efficiency through parallelization. This thesis explores an established distributed computing setting, in which the computationally heavy task involves a number of users requesting a linearly separable function to be computed across several servers. READ MORE

  4. 3. Adapting Marching Squares to operate on sparse matrices

    University essay from Umeå universitet/Institutionen för datavetenskap

    Author : Tahir Mert Karkan; [2022]
    Keywords : ;

    Abstract : Marching Squares is an algorithm that iterates over a given matrix filled with data points and outputs lines depending on the values in the grid. The algorithm iterates over the matrix four data points at a time in the shape of a square, hence its name. READ MORE

  5. 4. Can gamification platforms be “simple”? : A case study on improving the efficiency of a gamification platform

    University essay from Uppsala universitet/Människa-datorinteraktion

    Author : Chen Xiaoyu; [2022]
    Keywords : gamification platform; research-through-design; designing and developing gamification; framework;

    Abstract : Gamification is used in a wide range of industries to motivate user engagement and increase the utilization of products. Most gamification applications are designed and developed through gamification platforms. READ MORE

  6. 5. Ramification of polynomials

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Ana Strikic; [2021]
    Keywords : non-pleasantly ramified polynomials; minimally ramified polynomial; lower ramification numbers; minimal ramification; discrete dynamical systems; iterating polynomials; ultrametric fields;

    Abstract : In this research,we study iterations of non-pleasantly ramified polynomials over fields of positive characteristic and subsequently, their lower ramification numbers. Of particular interest for this thesis are polynomials for which both the multiplicity and  the degree of its iterates grow exponentially. READ MORE