Faculty Of Computer And Mathematical Science
Mathematics Project Topics
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This project is all about a survey of Fine numbers which is intimately related to the Catalan numbers. Two manifestations are the identity and the generating function identities rnThe project also gives a unified presentation and history of the so previous results in the literature that mentioned the Fine numbers. rnAmong the settings that mention the occurrences of the Fine numbers, Dyck paths, Ordered trees, Paths, Path pairs and non-crossing partitions are some of them that will be discussed in section 2 of the paper with full fledged explanation. rn And finally the last section, section three presents the statistic relationship between Fine paths an d Dyck paths using both Ordinary and Bivariate generating functions
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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