Pen-and-paper exercises: Session 4

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Introduction to Physics: Experimental Demonstrations

Introduces physics concepts through experimental demonstrations, emphasizing observation and mathematical modeling.

Furuta Pendulum Control

Explores the control of a Furuta pendulum and its application to complex electromechanical systems.

Involutes and Bezier Curves

Explores involutes and Bezier curves, essential in computer-aided design.

Data Reconciliation: Case Study

Discusses correcting errors in measurements through mathematical expressions and optimization techniques.

Soil Hydraulic Conductivity and Water Transfers

Explores soil hydraulic conductivity, water transfers, and plant root extraction modeling.

Formulation, Modeling: Château Laupt-Himum

Discusses a case study on wine production at Château Laupt-Himum.

Machine Learning Theory: High-Dimensional Perspectives

Explores high-dimensional perspectives in machine learning theory, shedding light on new insights and challenges.

Laplacian: Basics and Examples

Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.

Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials

Explores real space and momentum space methods for 2D materials and incommensurate lattices.

Rare Events and Extreme Modeling

Explores rare event modeling, challenges in estimating probabilities with limited data, and the application of extreme value theory in various fields.