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Related lectures (32)

Signature Kernels: Universal Feature Sets for Data Science

Explores signature kernels, feature maps, tensor algebras, and their applications in data science and machine learning.

States of Composite Systems

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

Synchrotrons and X-ray Imaging

Explores synchrotrons, X-ray imaging techniques, nanomagnetism, and biological structures at multiple length scales.

Tensor Properties

Covers the properties of tensors and their applications in various fields.

Linear Algebra: Multilinear Forms

Explores multilinear forms in linear algebra, emphasizing their properties and applications.

Multilinear Forms: Notation & Applications

Covers multilinear forms in n variables over a k-vector space, emphasizing notation and applications.

Dirac's Notation, Tensor Product

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Quantum Information Principles

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

Quantum Physics I: Entanglement and Commutation Relations

Explores entanglement and commutation relations in quantum physics, focusing on Clebsch-Gordan coefficients and tensor-product basis.

Singular Vectors in Liouville CFT: Representation Theory Insights

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Qubits: Tensor Products and Entangled States

Explains tensor products and entangled states in quantum mechanics, focusing on pairs of qubits and their mathematical representations.

Group representations constructions

Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

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