Essays about: "Laplace transform"

Showing result 1 - 5 of 6 essays containing the words Laplace transform.

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. Quantified safety modeling of autonomous systems with hierarchical semi-Markov processes

   University essay from KTH/Optimeringslära och systemteori

   Author : Olle Mattsson; [2020]
   Keywords : probability theory; stochastic processes; reliability engineering; applied mathematics; quantified safety; markov processes; markov chains; sannolikhetsteori; stokastiska processer; säkerhetsteknik; tillämpad matematik; markovprocesser; markovkedjor;

   Abstract : In quantified safety engineering, mathematical probability models are used to predict the risk of failure or hazardous events in systems. Markov processes have commonly been utilized to analyze the safety of systems modeled as discrete-state stochastic processes. READ MORE

4. 3. Image enhancement effect on the performance of convolutional neural networks

   University essay from Blekinge Tekniska Högskola/Institutionen för datavetenskap

   Author : Xiaoran Chen; [2019]
   Keywords : Image Enhancement; Convolutional Neural Networks; Deep Learning; Transfer Learning;

   Abstract : Context. Image enhancement algorithms can be used to enhance the visual effects of images in the field of human vision. So can image enhancement algorithms be used in the field of computer vision? The convolutional neural network, as the most powerful image classifier at present, has excellent performance in the field of image recognition. READ MORE

5. 4. Semi-Markov processes for calculating the safety of autonomous vehicles

   University essay from KTH/Matematisk statistik

   Author : Stefan Kaalen; [2019]
   Keywords : Semi-Markov process; functional safety; autonomous vehicle; hazardous event; Stieltjes convolution; reliability; Laplace-Stieltjes transform; Euler algorithm; Talbot algorithm; Semi-Markov process; funktionell säkerhet; autonoma fordon; farlig situation; Stieltjes faltning; funktionssäkerhet; Laplace-Stieltjes transform; Eulers algoritm; Talbots algoritm;

   Abstract : Several manufacturers of road vehicles today are working on developing autonomous vehicles. One subject that is often up for discussion when it comes to integrating autonomous road vehicles into the infrastructure is the safety aspect. There is in the context no common view of how safety should be quantified. READ MORE

6. 5. Pricing of exotic options under the Kou model by using the Laplace transform

   University essay from Tillämpad matematik och fysik (MPE-lab)

   Author : Gayk Dzharayan; Elena Voronova; [2011]
   Keywords : Financial Mathematics; Double exponential jump-diusion model; Kou model; Laplace transform; Laplace transform inversion; two-dimensional Euler algorithm; two-asset correlation options.;

   Abstract : In this thesis we present the Laplace transform method of option pricing and it's realization, also compare it with another methods. We consider vanilla and exotic options, but more attention we pay to the two-asset correlation options. READ MORE