Fiinetesimple And Undirected Graph Encoding
Mathematics Project Topics
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In this project we will see the existence of periodic solution(s) to the secondrnorder ODE of the form:rnx00(t) + a(t)x0(t) = g(t; x) f(t; x(t); x0(t))rnby means of Schauders Fixed Point Theorem where a is a continuous !-rnperiodic function , g(t; u), f(t; u; v) are !-periodic functions in t forrnu = x(t), v = x0(t) and ! > 0. The method of proof is composed ofrntwo steps, the _rst step is to transform the original equation into integrodirnerential equation through a linear integral operator and the second steprnis an application of the Schauder's Fixed Point Theorem.rnKeywords: Periodic solution; Schauder's _xed point theorem; Fundamentalrnmatrix
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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