
Explore aerodynamics fundamentals, CFD basics, and wind tunnel principles. Gain insights into UCLA's eco marathon design for optimizing vehicle efficiency and performance.

Explore Tesla Cybertruck's aerodynamics through exclusive 3D scan and CFD simulation. Analyze design features, flow patterns, and drag coefficient to understand its impressive aerodynamic performance.

Explore hybrid additive manufacturing's role in advancing traditional methods, focusing on its impact and potential in modern manufacturing processes.

Explore control principles for robot learning, focusing on motion synthesis, learning objectives, and real-time control algorithms. Gain insights from biology and robotics examples.

Explore cutting-edge research on autonomous in-hand robotic manipulation and human-collaborative manipulation with mobile manipulators at Northwestern University's Center for Robotics and Biosystems.

Explore a five-decade journey in mechanical systems control, from state space theory to intelligent industrial robots and autonomous driving. Gain insights from Masayoshi Tomizuka's research at UC Berkeley.

Explore System Modeler's Rotating Machinery library to test designs and identify faults in turbines, motors, and drivelines. Learn to model gears, shafts, and bearings for accurate real-world simulations.

Explore fundamental concepts of drilling geo-mechanics, including rock mechanics, wellbore stability, and stress analysis for effective oil and gas exploration.

Изучите геомеханическое моделирование для оптимизации проце ссов бурения и заканчивания скважин. Освойте современные методы и технологии для повышения эффективности нефтегазодобычи.

Techniques, tools, and resources for building efficient one-person development shops, covering design, engineering, and project management aspects of prototype and product creation.

Quantitative analysis of field concentration in composites with closely located inclusions, focusing on optimal estimates and asymptotic characterization in various physical contexts.

Explore geometric and algebraic aspects of space curves, including tangent vectors, normal planes, curvature, torsion, and associated surfaces. Learn about Monge's contributions and invariant properties.

Explore the Frenet-Serret equations, describing space curves' behavior using vector-valued derivatives. Learn about tangent, normal, and bi-normal vectors, curvature, and torsion in 3D space.

Explore TNB Frames, curvature, and torsion in vector calculus. Learn to compute Frenet-Serret frames, find osculating circles and planes, and perform vector encapsulation for 2D functions.

Detailed exploration of a helix as an example of Frenet Serret equations, discussing curvature, torsion, and the Fundamental theorem of curves. Introduces osculating, normal, and rectifying planes.

Explore homology groups of torus and projective plane using delta-complexes. Learn about Betti numbers and torsion in algebraic topology, with practical computations and insights into fundamental concepts.

Explore applied enumerative geometry in mechanism synthesis, uncovering innovative approaches to design and optimize mechanical systems for various engineering applications.

Explore torsion and curvature tensors in algebroids, their derivation for differential graded manifolds, and applications in sigma model BV theory.

Explore torsion in string topology with Florian Naef, delving into algebraic and topological aspects related to the Grothendieck-Teichmüller group.

Explore data-driven techniques for discovering governing equations in complex biological systems, focusing on PDEs and innovative mathematical methods for modeling phenomena like arterial flow and tissue fracture.

Explore 3-torsion in class groups of 2-extensions with Melanie Matchett Wood. Delve into advanced number theory concepts and their statistical implications in this mathematical lecture.