Equivalence Relations and Partitions

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (30)

Page 1 of 3

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Equivalence Relations: Classes, Partitions

Explains equivalence relations, classes, and partitions in sets.

Equivalence Relations

Covers the concept of equivalence relations and how to determine them.

Equivalence Classes

Introduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.

Symmetry: Noether Theorem

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Understanding Equivalence Relations and Integer Construction

Covers the construction of integers through equivalence relations and their properties in mathematics.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Isometries and Orthonormal Bases

Discusses isometries and orthonormal bases in mathematics.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Inertia Tensor: Main Axes and Principal Moments

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.