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Related lectures (17)

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Quantum Mechanics: GHZM Thought Experiment

Explores the GHZM thought experiment and challenges classical quantum concepts.

Quantum Statistics: Canonical & Grand Canonical Ensembles

Explores quantum statistics in canonical and grand canonical ensembles, discussing distinguishability, microstates, and the Pauli exclusion principle.

Functional Equation of Zeta and Hadamard Products

Covers the functional equation of the Zeta function and the Hadamard factorization theorem.

Correctness and Soundness of the Qubit Test

Explores the correctness and soundness of the Qubit Test, emphasizing probabilistic algorithms, trapdoors, and function inversion.

Classical Zero Free Region for Zeta and Explicit Formula I

Establishes the classical zero free region for the Zeta function and starts the proof of the explicit formula for

\psi(x)

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

Abel Summation and Prime Number Theory

Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.

Frequency Response Analysis: Linear Systems and Filters

Covers the frequency response of linear systems and filter design principles.

Abel Summation: Analyzing Logarithmic Functions

Explores Abel summation formula, Chebyshev's theorem, and logarithmic functions with practical examples.

Eigenvalues and Eigenvectors

Covers eigenvalues and eigenvectors in linear algebra.

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Markov Chain Games

Explores Markov chain games, hitting probabilities, and expected hitting times in a target set.

Source Coding Theorem

Explores the Source Coding Theorem, entropy, Huffman coding, and conditioning's impact on entropy reduction.

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Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Bistability in Genetic Networks

Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.

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