Concept

Theory

Related lectures (28)

Natural Transformations: Functors and Categories

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Introduction to Convexity

Introduces the key concepts of convexity and its applications in different fields.

Active Learning Session: Group Theory

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Hartree-Fock Equations for N Fermions

Discusses the minimization of the Hartree-Fock functional for N fermions and the variational principle in quantum physics.

Active Learning: Group Theory

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

The Role of Symmetries

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Equivalences of Categories

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Homotopical Algebra

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Curved Space-Time

Discusses curved space-time, arguments against scalar gravity, and relativistic effects of motion.

Group Theory: Adjoint Functors and G-sets

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Linear Applications and Simple Objects

Covers the bijection between linear applications from L(X) to V and applications from X to U(V).

Covalent Bonding: Orbital Stability

Explores covalent bonding stability and orbital properties in molecules like H₂ and He.

Enterprise and Service-Oriented Architecture: Team Creation and Meeting Preparation

Covers key learning points, team creation, meeting preparation, and the theory behind interviews.

Functors and Natural Transformations

Delves into functors, natural transformations, and group actions with explicit examples.

Photography History and Theory: Machine

Delves into the history and theory of photography, emphasizing the role of the camera as a pure recording tool and the significance of snapshots in capturing reality.

System Modeling: Parameters Identification

Explores system modeling and parameters identification through step response experiments in control systems.

The Role of Chance in Divine Providence

Explores the relationship between scientific theories on randomness and divine intervention.

Active Learning in Category Theory

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Group Theory Fundamentals

Introduces the basics of group theory, defining groups, categories, and groupoids.