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Related lectures (29)

Page 3 of 3

Introduction to Real Numbers and Their Properties

Introduces real numbers, their properties, and their significance in analysis.

Postulates of Quantum Mechanics

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Exponential of a Matrix

Explores the exponential of a matrix, properties, Frobenius norm, nilpotent matrices, commutativity, and system solutions.

Harmonic Forms and Riemann Surfaces

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Implicit Functions Theorem

Discusses finding min and max of functions on compact sets and the theorem of implicit functions.

Quantum Phase Estimation

Explains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.

Theorem and Explanations

Covers the theorem of finite increments in derivative functions.

Improper Integrals: Fundamental Concepts and Examples

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Total scattering and PDF analysis

Explores total scattering and PDF analysis in materials science, covering in-situ synthesis, data analysis techniques, and applications in host-guest systems.