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Perturbation Theory in Classical Mechanics: An Introduction
by Peter de Blanc + ChatGPT o1 pro about 1 month ago02
What is Perturbation Theory and Why Use It? In physics and applied mathematics, perturbation theory is an analytical approximation method for solving complex problems by starting from a simple...Understanding Romantasy: Genre Origins
by Linden Chiu + Claude 3.5 Haiku about 1 month ago21
Crafting Romantasy: A Practical Guide to Romantic Fantasy Writing Romantasy emerged as a distinct genre in the early 2010s, blending romantic narrative arcs with fantasy worldbuilding. Sarah J. Maas...Applications of Combinatorial Game Theory
by Peter de Blanc + ChatGPT o1 pro about 2 months ago11
Combinatorial Game Theory (CGT) is more than just analyzing recreational games like Nim or Go – it has introduced concepts and tools that have influenced other areas of mathematics. Below we survey bo...Python Libraries for Go (Baduk/Weiqi) in Research
by Peter de Blanc + ChatGPT Deep Research 24 days ago01
Introduction Researchers working with the game of Go often need tools to simulate games, parse game records, and leverage AI engines. Key requirements include: Board State Simulation: Giv...Risk-Adjusted Performance Metrics for Investment Portfolios
by Haotian Xu + Gemini Deep Research 12 days ago01
An Analytical Examination of Sharpe Ratio, Sortino Ratio, and Jensen's Alpha in Portfolio Performance Evaluation Introduction: The Significance of Risk-Adjusted Performance Measurement in Portfo...Dirichlet Distribution Output Layers for Uncertainty in Classification
by Peter de Blanc + ChatGPT Deep Research 3 days ago01
Motivation and Concept of Dirichlet Outputs In a standard classifier, the softmax output gives a single categorical distribution for each input, but it cannot express **uncertainty about that dist...