Calculus Guide
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Updated
Sep 5, 2021
Calculus Guide
Project on solving the Calculus of variations problems using symbolic mathematics (2018).
CSC401: Applied Mathematics IV [AM-IV] | SE Semester IV | Computer Engineering
Differentiable Tensors based on NumPy Arrays
Tensorflow is not only for deep learning. It can let tensor flow.
Approximation algorithm to solve Optimal Control problems using the Adjoint Method. Assumes your controller is based on a parametric model. Uses Forward-Backward-Sweep adjoint method.
The Structure and Interpretation of Classical Mechanics
In this paper, we focus on a specific problem related to the calculus of variations, which deals with finding the Lagrangian function that, when used in the Euler-Lagrange equation, produces a given differential equation
Codes for the course ENGN 2020
In this repository i will post all of my Sci-Comp related projects.
Geodesic on Sphere Visualization
The calculus underpinning modern machine learning, built from scratch in pure NumPy. 8-week masterclass: ε–δ limits, complex-step differentiation, forward- & reverse-mode autodiff (backprop) from scratch, multivariate/matrix/vector calculus, and the calculus of variations — every result verified against analytic truth. Fully executed notebooks.
Educational Python project demonstrating the variational derivation of the catenary curve and Newton’s method for solving the resulting nonlinear equation, with calculation of tension and tensile stress.
Aplicativo do projeto de aplicação de derivadas da disciplina Cálculo diferencial e integral I do curso de Sistemas de Informação na Universidade de Pernambuco.
A price-optimization solver for a mean-field games price formation model
Educational Python project demonstrating the variational derivation of the catenary curve and Newton’s method for solving the resulting nonlinear equation, with calculation of tension and tensile stress.
World's first 4D & 5D Kakeya datasets. Two independent numerical paths (logarithmic & pure polynomial GL) validate a variational proof framework. A proof-of-concept for Information Dynamics.
Project code for my fourth year capstone project: Region Tracking in an Image Sequence.
Python Math library for Matrix and Polynomial manipulation extending to the complex plane
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