Analysis Of Fourier Transform In L1 Space And Its Inversion
Mathematics Project Topics
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This project discusses the concept of Fourier transform of a function in Space with itsrnproperties theorem, inversion theorem, Fourier sine and cosine transforms theorem, Plancherel’srnand Parseval’s identities theorem and the applications of Fourier transform in partial differentialrnequations, Shannon’s sampling theorem and Heisenberg’s inequality.rnTherefore the purpose of this project is to solving certain problems in partial differentialrnequations like for example Heat equation, Wave equation , and Laplace equation, to solve somerncomplicated integrals shortly and simply, and it works in Shannon’s sampling theorem andrnHeisenberg’s inequality.rnThis project uses some definitions and theorems as a preliminary from some real analysis andrnFourier analysis books
Subsurface Intelligence & Critical Mineral Exploration
Modern Geology projects now focus on Machine Learning in Mineral Targeting, Carbon Capture & Storage (CCS) Geologic Modeling, and Critical Mineral Systems (Lithium, REEs). If your research involves Hydrogeological Connectivity, Seismic Inversion, or Geotechnical Site Characterization, ensure your analysis follows the JORC or NI 43-101 reporting standards and utilizes robust 3D Subsurface Visualization and Geochemical Fingerprinting frameworks.
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