Lectures related to Circumstantial evidence

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Covers the proof and identification of isomorphisms in the Seifert van Kampen theorem.

Discusses baryogenesis and dark matter, focusing on their cosmic significance and the processes involved in their formation.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Introduces the basics of physics, including mechanics and making predictions based on observations and hypotheses.

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

Explores Fourier series properties, periodic functions, and coefficient calculation for signal processing and mathematics.

Explores interior points, closures, and set properties in real analysis.

Covers the requirements for the final draft of a paper.

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

Covers linear regression, regularization, and probabilistic models in generating labels.

Explores the connection between unitarity and entropy, from black holes to baryons, revealing universal bounds and similarities.

Covers the fundamentals of Bayesian estimation, focusing on the application of Bayes' Theorem in scalar estimation.

Covers the properties of coatings, including trivializing opens and automorphisms.

Explores generalized finite increments, derivatives, reciprocals, and Bernoulli-L'Hospital rule.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.