A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...
ABSTRACT: This study investigates projectile motion under quadratic air drag, focusing on mass-dependent dynamics using the Runge-Kutta (RK4) method implemented in FreeMat. Quadratic drag, predominant ...
Abstract: In this work, we investigate the exponential stability of the viscous Saint-Venant equations by adding to the standard hyperbolic Saint-Venant equations a viscosity term coming from the ...
This is an open-source repository of the Python code used in the paper Symbolic identification of tensor equations in multidimensional physical fields. Some of the code implementations refer to the ...
Traditional quantitative models (Black-Scholes, Heston, GARCH) treat market volatility as a purely stochastic phenomenon. They are mathematically elegant but structurally blind to the real-world ...
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