Lectures related to Converse relation

Surfaces: The Torus

Explores the definition of surfaces, focusing on the torus and its construction through various examples and morphic images.

Graph and Diagonal

Discusses the graph of a relation and the concept of separation.

Differential Equations: Mathematical Complements

Covers the definition of differential equations and their relation to functions and derivatives.

Understanding Chaos in Quantum Field Theories

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

Linear Regression: Statistical Inference Perspective

Explores linear regression from a statistical inference perspective, covering probabilistic models, ground truth, labels, and maximum likelihood estimators.

Consequences of TBS

Explores the consequences of the Total Bell System (TBS) in a commutative body.

General Physics: Mechanics

Explores mechanics concepts, including moments of inertia for common solids and their practical applications.

Optimization Problems: Algebra and Trinomial Equations

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Total Order Relation: Properties of Real Numbers

Covers the concept of total order relation and properties of real numbers.

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Homotopy: Fundamentals and Examples

Covers the fundamentals of homotopy and its applications in topology.

Limit of a Sequence

Explores the limit of a sequence, convergence conditions, algebraic operations, and order relations.

Introduction to Category Theory: Examples

Introduces the theory of categories through examples and discusses the product of categories.

Advanced Physics I: Trajectory and Velocity

Explores trajectory, velocity, and acceleration in advanced physics, emphasizing rectilinear motion and the importance of instantaneous velocity.

Homotopy Categories: Model Structures

Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Space Identification: SO(3)

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Information Extraction & Knowledge Inference

Explores information extraction, knowledge inference, taxonomy induction, and entity disambiguation.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.