Concept

John von Neumann

Related lectures (22)

Wave Equations Stability

Explores resonant shallow water equations, stability analysis, eigenmodes, and clean modes in waves.

Wave Equation Stability

Explores the stability of the wave equation finite difference scheme and resonant excitation.

Proof of Schmidt Theorem and Entropy Properties

Covers the proof of the Schmidt theorem and properties of von Neumann entropy, including dense coding and entanglement.

Quantum Information Principles

Covers the mathematical principles of quantum physics, including Hilbert spaces and quantum bits.

Density matrix and von Neumann entropy: first intro

Introduces density matrix and von Neumann entropy in quantum systems.

Heisenberg Groups: Introduction

Introduces the Heisenberg groups, covering representation theory and unique properties.

Applications of Ergodic Theory to Combinatorics

Explores the applications of ergodic theory to combinatorics and number theory, including Szemerédi's Theorem and the Erdős-Kac Theorem.

The Role of Operating Systems: Foundations and Functions

Covers the essential role of operating systems in managing hardware and enabling applications across various devices.

Logarithmic Derivative of Zeta

Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.

Advection-Diffusion Equations

Explores numerical solutions and stability analysis of advection-diffusion equations, emphasizing properties of analytical solutions and their behavior over time.

Von Neumann Entropy: Mixed State and Density Matrix

Explores Von Neumann Entropy in mixed states and density matrices, including quantum bits and entangled systems.

Fourier Series and PDE Solving

Covers the solving of PDEs using Fourier series and boundary conditions of Neumann and Dirichlet type.

Quantum Entropy

Covers quantum entropy, density matrices, and entanglement in quantum information theory.

Theory of Open Quantum Systems

Covers trace-preserving maps, master equations, and Lindblad operators in the theory of open quantum systems.

Advection-Diffusion: Properties and Stability Analysis

Discusses the properties and stability analysis of advection-diffusion equations and the introduction of explicit finite difference schemes.

Lie Algebras and Representations

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Green Functions: Theory and Applications

Explores the theory and applications of Green functions in classical electrodynamics, emphasizing the importance of choosing the right function based on boundary conditions.

Limits in Infinity: Criteria and Examples

Covers the concept of limits at infinity and discusses criteria and examples of functions approaching infinity.

Quantum Source Coding

Covers entropic notions in quantum sources, Shannon entropy, Von Neumann entropy, and source coding.

Virtual Machines: Memory Management and Control Flow

Covers the architecture of virtual machines, focusing on memory management, control flow, and the CEK machine's semantics.