Sökning: "Laplace transform"
Visar resultat 1 - 5 av 6 uppsatser innehållade orden Laplace transform.
1. An operator theoretic approach to the Riemann Hypothesis
Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : 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. LÄS MER
2. Quantified safety modeling of autonomous systems with hierarchical semi-Markov processes
Master-uppsats, KTH/Optimeringslära och systemteoriSammanfattning : 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. LÄS MER
3. Image enhancement effect on the performance of convolutional neural networks
Master-uppsats, Blekinge Tekniska Högskola/Institutionen för datavetenskapSammanfattning : 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. LÄS MER
4. Semi-Markov processes for calculating the safety of autonomous vehicles
Master-uppsats, KTH/Matematisk statistikSammanfattning : 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. LÄS MER
5. Pricing of exotic options under the Kou model by using the Laplace transform
Magister-uppsats, Tillämpad matematik och fysik (MPE-lab)Sammanfattning : 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. LÄS MER