Essays about: "Polynomial"

Showing result 1 - 5 of 240 essays containing the word Polynomial.

  1. 1. The Abel-Ruffini Theorem : The insolvability of the general quintic equation by radicals

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Axel Sjöblom; [2024]
    Keywords : ;

    Abstract : This thesis explores the topic of Galois theory at a relatively introductory level with the goal of proving the Abel Ruffini theorem. In the first part algebraic structures are considered: groups, ring, fields, etc. Following this, polynomial rings are introduced and the attention is then turned to finite field-extensions. READ MORE

  2. 2. Classifying Previous Covid-19 Infection : Advanced Logistic Regression Approach

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Daniel Westerholm; [2023]
    Keywords : Covid-19; logistic regression; clustering;

    Abstract : The study aimed to developed a logistic model based on antibody proteins, vaccinations and demographic factors that predicts previous infection in Covid-19. The data set comprised of 2750 individuals from eldercare homes in Sweden, with four test dates executed between October of 2021 and August of 2022. READ MORE

  3. 3. A C++ Matrix library for computing the Gateaux derivative of the Fermi-Dirac operator

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : William Samuelsson; [2023]
    Keywords : C ; Quantum Chemistry; Matrix functions;

    Abstract : Computing the Fermi-Dirac operator is done through recursive polynomial expansions, using the SP2 and SP2 Acc algorithms. The Gateaux derivative is computed for both schemes by mapping the zeroth and first order matrices onto a block upper triangular matrix, which is implemented in Python using Numpy arrays to store full matrices and in C++ by first constructing a basic matrix library to use as blocks in a later created block upper triangular matrix library which only directly references two blocks in a 2 x 2 block matrix. READ MORE

  4. 4. EMONAS : Evolutionary Multi-objective Neuron Architecture Search of Deep Neural Network

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

    Author : Jiayi Feng; [2023]
    Keywords : DNN Deep Neural Network ; NAS Neural Architecture Search ; EA Evolutionary Algorithm ; Multi-Objective Optimization; Binary One Optimization; Embedded Systems; DNN Deep Neural Network ; NAS Neural Architecture Search ; EA Evolutionary Algorithm ; Multi-Objective Optimization; Binary One Optimization; Inbyggda system;

    Abstract : Customized Deep Neural Network (DNN) accelerators have been increasingly popular in various applications, from autonomous driving and natural language processing to healthcare and finance, etc. However, deploying them directly on embedded system peripherals within real-time operating systems (RTOS) is not easy due to the paradox of the complexity of DNNs and the simplicity of embedded system devices. READ MORE

  5. 5. Classification of almost monomial subalgebras of small codimension

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ludvig Sundell; [2023]
    Keywords : Algebra; Subalgebra; Polynomial; SAGBI basis; LAGBI basis; Lower semigroup; Mathematics and Statistics;

    Abstract : In this text, we study almost monomial subalgebras using LAGBI bases. We introduce the concept of a LAGBI base and present an algorithm for computing them. We then use this algorithm to find, and present in a table, all polynomial subalgebras with Frobenius number smaller than or equal to ten. READ MORE