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  "sourceFragment": " <div class=\"post-header\">  <h1 class=\"post-title\">Vlnové funkce</h1> <p class=\"post-meta\"> January 2024 </p> </div> <div class=\"post-body\"> <p>Tento projekt je demonstrací toho, jak lze simulovat šíření a interference vln a jejich interakce s prostředím, pomocí matematických modelů a počítačové simulace. Použití náhodných hodnot pro pozici zdrojů vlnění, jejich frekvenci a amplitudu, spolu s implementací klesající amplitudy s rostoucí vzdáleností od zdroje a odrážení vln od okrajů čtverce a jejich vzájemná interference, vytváří vizuálně zajímavé vzory, které ilustrují složitost vlnových interakcí v omezeném prostoru. Výsledky jsou vizualizovány pomocí černobílé barevné škály, která reprezentuje intenzitu vlnění v různých bodech čtvercového prostoru.</p>\n<p><strong>Simulace s 1 zdrojem vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-1.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-1.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-2.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-2.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-3.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-3.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 2 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-4.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-4.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-5.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-5.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-6.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-6.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 3 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-7.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-7.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-8.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-8.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-9.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-9.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 5 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-10.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-10.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-11.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-11.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-12.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-12.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 10 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-13.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-13.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-14.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-14.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-15.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-15.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 50 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-16.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-16.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-17.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-17.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-18.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-18.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 100 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-19.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-19.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-20.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-20.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-21.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-21.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulace s 500 zdroji vlnění:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-22.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-22.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-23.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-23.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-24.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-24.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Zdrojový kód</strong><br>\nZdrojový Python kód pro tento projekt je dostupný zde:</p>\n<span data-i18n-protected=\"p0\" translate=\"no\" class=\"notranslate\"></span> </div> ",
  "translatedFragment": " <div class=\"post-header\">  <h1 class=\"post-title\">Wave Functions</h1> <p class=\"post-meta\"> January 2024 </p> </div> <div class=\"post-body\"> <p>This project demonstrates how the propagation and interference of waves, as well as their interaction with the environment, can be simulated using mathematical models and computer simulations. The use of random values for the position of wave sources, their frequency, and amplitude, along with the implementation of decreasing amplitude with increasing distance from the source, wave reflection from the edges of the square, and their mutual interference, creates visually interesting patterns that illustrate the complexity of wave interactions in a confined space. The results are visualized using a black-and-white color scale that represents the intensity of the waves at various points within the square space.</p>\n<p><strong>Simulation with 1 wave source:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-1.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-1.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-2.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-2.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-3.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-3.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 2 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-4.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-4.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-5.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-5.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-6.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-6.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 3 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-7.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-7.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-8.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-8.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-9.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-9.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 5 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-10.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-10.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-11.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-11.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-12.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-12.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 10 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-13.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-13.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-14.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-14.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-15.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-15.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 50 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-16.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-16.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-17.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-17.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-18.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-18.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 100 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-19.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-19.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-20.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-20.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-21.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-21.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Simulation with 500 wave sources:</strong></p>\n<div class=\"media-row media-row--bordered\"> <div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-22.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-22.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-23.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-23.jpg\" alt=\"\"> </a>   </div><div class=\"media-row__item\"> <a href=\"/images/vlnove-funkce-obr-24.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"> <img src=\"/images/vlnove-funkce-obr-24.jpg\" alt=\"\"> </a>   </div> </div>\n<p><strong>Source code</strong><br>\nThe Python source code for this project is available here:</p>\n<span data-i18n-protected=\"p0\" translate=\"no\" class=\"notranslate\"></span> </div> ",
  "createdAt": "2026-05-07T18:32:48.064Z"
}
