
Explore data-centric engineering in aero-engines, covering blade design, uncertainty estimation, and computational fluid dynamics for improved performance and reduced costs in aerospace.

Explore complex numbers in Fourier transform, including coefficients, visual interpretation, and inverse transform. Gain insights into elegant mathematical representations for audio signal processing.

Learn to create multi-part designs in context using Autodesk software. Master techniques like extrusion, lofting, and isometric sketching to build complex assemblies efficiently.

Explore decision theory as a coherence test, examining assumptions, Bayesian justification, and geometric interpretation. Gain insights into max mean expected utility and practical applications.

Experts discuss interpretable machine learning in natural and social sciences, exploring causal inference and its applications across various fields.

Explore derivation of higher-order differential equations from F=ma, focusing on spring-mass systems. Learn to chain simple systems for complex equations in physics.

Explore linear system controllability through intuitive examples and the controllability matrix rank test. Learn key concepts for understanding and analyzing system control.

Analyze ordinary differential equations using eigenvalues and eigenvectors, laying the foundation for linear control theory in this comprehensive mathematical exploration.

Explore discrete Fourier transforms, their applications in engineering, and mathematical foundations. Learn key concepts and techniques for analyzing digital signals and data processing.

Explore the mathematics behind the dice game "Pig" with Ben Sparks. Learn optimal strategies, analyze probabilities, and discover the balance between risk and reward in this engaging mathematical exploration.

Explore the fascinating physics of drag as Tom Crawford compares the Empire State Building and Eiffel Tower falling through water, revealing surprising insights about fluid dynamics and shape effects.

Explore the SIR Model used to predict COVID-19 spread with Ben Sparks. Learn about epidemic modeling through clear explanations and live coding, gaining insights into the mathematics behind pandemic forecasting.

Explore power factor basics, including true, apparent, and reactive power calculations. Learn formulas, examples, and practical applications in electrical circuits.

Explore exponential coordinates in robotics, covering interpretations, linear differential equations, cross products, matrix logarithms, and practical demonstrations with a two-degree-of-freedom robot wrist.

Explore wave imaging techniques, from traditional approaches to new methods, with a focus on microlocal analysis, Fourier integral operators, and neural network architectures for improved imaging.

Explore game theory in signal processing, covering multi-arm bandits, adaptive algorithms, and reinforcement learning for spectrum management and network optimization.

Explores preregistration of experiments in HCI research to prevent post-hoc hypothesizing, discussing its adaptation and benefits for improving the discipline's scientific rigor.

Explore control theory and large deviation principles for PDEs, covering IID cases, contraction principles, rate functions, and applications to random forces and controllability.

Explore signal design for communication systems, focusing on orthogonal transmission schemes and their dynamics. Delve into mathematical connections with functional analysis and additive combinatorics.

Einführung in die Gabor-Analyse: Grundlagen, Anwendungen und mathematische Konzepte für Signalverarbeitung, Quantenmechanik und Kommunikationstechnik.

Explore endpoint Fourier restriction and its connection to measure unrectifiability in R^d, featuring a dichotomy between absolute continuity and 1-pure unrectifiability.