Essays about: "euclid"

Showing result 1 - 5 of 8 essays containing the word euclid.

  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. High Redshift Galaxies with JWST and Euclid

    University essay from Uppsala universitet/Institutionen för fysik och astronomi

    Author : Emma Lundqvist; [2022]
    Keywords : jwst; euclid; high redshift galaxies; early galaxies; GalaxyMC; jwst; euclid; tidiga galaxer; GalaxyMC;

    Abstract : This projects studies which early galaxy populations will be visible using the telescopes JWST and Euclid. Galaxy luminosity functions are calculated for different redshifts, with the galaxy number density as a function of apparent magnitude. The apparent magnitude is used to enable easy comparisons with the observational limits of JWST and Euclid. READ MORE

  4. 3. Impossible Constructions Within Euclidean Geometry

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Felix Wredh; [2022]
    Keywords : ;

    Abstract : One of the most important mathematicians of all time was Euclid. Even though his books laid thegroundwork for plane geometry, they did have some limitations. In this paper we show why some importantconstructions are impossible, as well as giving Swedish mathematics teachers some ideas on how to implementthis in their lessons. . READ MORE

  5. 4. Galaxy clusters and cosmic voids in modified gravity scenarios

    University essay from Uppsala universitet/Teoretisk astrofysik

    Author : Sveva Castello; [2019]
    Keywords : Cosmology; galaxy clusters; cosmic voids; f R gravity;

    Abstract : The so-called 'cosmic web', comprising cosmic voids and galaxy clusters, has been proven to be extremely sensitive to deviations from General Relativity. This could be further investigated by future large-scale surveys, such as with the European Space Agency satellite Euclid. READ MORE

  6. 5. Conditions for detecting population III galaxies with next-generation telescopes

    University essay from Uppsala universitet/Observationell astrofysik

    Author : Emma Fransson; [2019]
    Keywords : population III stars galaxies WFIRST;

    Abstract : Through the spectral synthesis model YGGDRASIL, developed by E. Zackris- son et al. 2011, luminosities for the chemically pristine population III galaxies are retrieved and compared to the capabilities of the upcoming infrared telescopes, in particluar the Wide Field InfraRed Survey Telescope (WFIRST). READ MORE