Group Theory: Basics

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Related lectures (54)

Group Operations and Quotients Log in to Mediaspace to watch this video

Explores group operations with cyclic properties and the universal ownership of quotients.

Algebras and Field Extensions Log in to Mediaspace to watch this video

Introduces algebras over a field, k-linear endomorphisms, and commutative algebras.

Vector Product in Physics Log in to Mediaspace to watch this video

Covers the vector product in physics, explaining its properties and applications in 3D space.

Advanced Physics I: Brayton Cycle and Air Density Log in to Mediaspace to watch this video

Explores the Brayton cycle, air density variations, and forces in motion.

Estimating R: Moments of a Distribution Log in to Mediaspace to watch this video

Explains the importance of moments in measuring distribution properties, such as expectation and variance.

Equilibrium in 3D Log in to Mediaspace to watch this video

Explores equilibrium in three dimensions, emphasizing the importance of adequate constraints for static and kinematic determinacy.

Advanced Design of Concrete Structures Log in to Mediaspace to watch this video

Delves into the advanced design of concrete structures, covering precast elements, topping reinforced concrete, and main beams profile.

Granular and Building Materials in Space Log in to Mediaspace to watch this video

Explores the challenges and applications of granular matter in space, emphasizing research in microgravity, Lunar exploration, and Earth applications.

Linear Applications: Injectivity and Surjectivity Log in to Mediaspace to watch this video

Explores injective and surjective linear applications, map composition, and matrix relationships in vector spaces.

Free Actions, Ch III: Group Actions Log in to Mediaspace to watch this video

Explains the concept of free actions and their preservation properties in group theory.

Elastic Inclusions Log in to Mediaspace to watch this video

Explores elastic inclusions, discussing strain and stress fields, Eshelby method, and energy storage.

Coxeter Groups: Geometric Equivalence and Positive Definite Graphs Log in to Mediaspace to watch this video

Explores the geometric equivalence of Coxeter groups with the same graph and positive definite matrices.

Continuum Mechanics: Mass Conservation Log in to Mediaspace to watch this video

Explores mass conservation in continuum mechanics, covering stress, dynamics, constitutive laws, and solid deformation.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

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