Lectures related to Connected relation

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

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

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

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

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

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

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

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

Covers Belief Propagation, a key method for both analysis and algorithm.

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

Covers the fundamentals of homotopy and its applications in topology.

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

Explores the force-extension relation of polymers through experiments and models.

Covers Hermitian and Unitary operators, real number equivalents, and eigenvalues.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

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

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

Explores material and energy balances in chemical engineering for process optimization and design.

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