Essays about: "APPLIED MATHEMATICS computer"

Showing result 1 - 5 of 21 essays containing the words APPLIED MATHEMATICS computer.

1. 1. An operator theoretic approach to the Riemann Hypothesis

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

   Author : Ramon Arjan van de Scheur; [2023]
   Keywords : Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

   Abstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE

3. 2. Reinforcement Learning for the Optimization of Explicit Runge-Kutta Method Parameters

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

   Author : Mélanie Fournier; [2023]
   Keywords : reinforcement learning; numerical analysis; Runge-Kutta; policy gradient; REINFORCE; Mathematics and Statistics;

   Abstract : Reinforcement learning is one of the three main paradigms in machine learning, which is increasingly used as a method to approach scientific problems. In this thesis, we introduce and use reinforcement learning to find the optimal parameters of a numerical solver. READ MORE

4. 3. 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

5. 4. Modelling of Corneal Surface - A Method for Reconstruction of Corneal Surface in a Wearable Eye Tracking Device

   University essay from KTH/Matematik (Avd.)

   Author : Johanna Frost; [2022]
   Keywords : applied mathematics; modelling; optimization; regression; computer vision; tillämpad matematik; modellering; optimering; regression; datorseende;

   Abstract : We investigate a method for reconstructing the anterior corneal surface using wearable eye tracking devices. The presented method assumes that the four reflection points from two light sources viewed by two cameras lie on a locally spherical surface of a cornea. READ MORE

6. 5. A Prime or Not a Prime? That is the Question

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

   Author : Vetle Tjora; [2022]
   Keywords : primality testing; Lucas--Lehmer; number theory; cubic reciprocity; Mersenne primes; Mathematics and Statistics;

   Abstract : In this survey, we shall prove the Lucas–Lehmer primality test used to find the Mersenne primes. A proof of the Law of Cubic Reciprocity will also be presented, which will be applied in the proof of a generalisation of the Lucas–Lehmer primality test... READ MORE