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#Inner Products

Showing: 21 courses
NPTEL

Advanced Matrix Theory and Linear Algebra for Engineers

1 rewiews
Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
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40 Lesons
1 day 14 hours
On-Demand
Free-Video
Jonathan Walters

Tensor Calculus

1 rewiews
Comprehensive exploration of tensor calculus, covering matrices, curvilinear coordinates, Einstein notation, and tensor operations, with practical applications and in-depth mathematical analysis.
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14 Lesons
11 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Linear Algebra

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Explore vectors, linear combinations, and subspaces in ℝ² and ℝⁿ. Gain a solid foundation in key linear algebra concepts through clear explanations and practical examples.
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7 Lesons
1 hour 30 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Functional Analysis

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Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.
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32 Lesons
4 hours 30 minutes
On-Demand
Free-Video
NIOS

Advanced Matrix Theory and Linear Algebra for Engineers

0 rewiews
Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
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34 Lesons
1 day 8 hours
On-Demand
Free-Video
patrickJMT

Fourier Series

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Explore fundamental concepts and calculations of Fourier Series, including orthogonal functions, coefficients, and function representation through series expansion.
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4 Lesons
30 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Orthogonality of Signals - Lecture 10

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Explore orthogonality of signals, a fundamental concept in signal processing and communication systems. Gain insights into its applications and importance.
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1 Lesons
16 minutes
On-Demand
Free-Video
Insights into Mathematics

The Rotation Problem and Hamilton's Discovery of Quaternions - Famous Math Problems

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Explore quaternions and their connection to 3D rotations using 2x2 complex matrices. Learn key formulas and visual models for this algebraic structure without relying on transcendental concepts.
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9 Lesons
56 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - The Hodge Operator via an Inner Product

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Explore the generalized Hodge operator for m-forms using inner products, advancing understanding of differential geometry and mathematical physics concepts.
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1 Lesons
29 minutes
On-Demand
Free-Video
Steve Brunton

Linear Algebra in 2D and 3D - Inner Product, Norm of a Vector, and Cross Product

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Explore fundamental concepts of linear algebra in 2D and 3D spaces, including inner product, vector norms, and cross product, essential for engineering mathematics applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
Tom Rocks Maths

Gram-Schmidt Process in Linear Algebra - Oxford University Lecture

0 rewiews
Learn the Gram-Schmidt Process for creating orthonormal vector sets. Covers definition, steps, calculations, and examples in 2D plane and polynomial inner product space.
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1 Lesons
33 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Linear Algebra - Inner Product Space

0 rewiews
Explore inner product spaces, bilinear forms, and orthonormal sets in linear algebra. Learn key concepts and proofs with practical examples and exercises to enhance understanding.
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1 Lesons
34 minutes
On-Demand
Free-Video
Insights into Mathematics

Applications of the Dot Product to Planar Geometry - Part 1

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Explore how the dot product shapes planar Euclidean geometry, introducing linear functionals, normal vectors for lines, and geometric projections in linear algebra.
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1 Lesons
36 minutes
On-Demand
Free-Video
Wrath of Math

General Linear Transformations on Vector Spaces

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Explore general linear transformations on vector spaces, their properties, and examples. Learn to distinguish between linear and non-linear transformations in this comprehensive overview.
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13 Lesons
17 minutes
On-Demand
Free-Video
IPhT-TV

Structure Constants in N = 4 SYM and Separation of Variables - 2022

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Explore structure constants in N=4 SYM, focusing on three-point functions, integrability, and key ideas like asymptotic wrapping and one-loop expressions.
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16 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Professor Dave Explains

Wavefunction Properties, Normalization, and Expectation Values

0 rewiews
Explore quantum mechanics through wavefunctions, normalization, and expectation values. Learn about Hilbert spaces, bra-ket notation, and the superposition principle to gain a deeper understanding of quantum systems.
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15 Lesons
23 minutes
On-Demand
Free-Video
Simons Institute

An LLL Algorithm for Module Lattices

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Explore an LLL algorithm for module lattices, covering key concepts, previous works, and algorithm details. Gain insights into lattice geometry and computational challenges.
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14 Lesons
52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 4

0 rewiews
Explore perturbation methods for nonlinear PDEs, focusing on shallow water waves and damped KDV models. Learn unified approaches to adapt linear equation techniques to nonlinear contexts.
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12 Lesons
1 hour 35 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 2

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Explore perturbation methods for nonlinear PDEs, focusing on nonlinear oscillators and periodic solutions. Learn techniques like inner products, perturbation series, and 2Pi periodicity to tackle complex equations.
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11 Lesons
1 hour 31 minutes
On-Demand
Free-Video
TheIACR

Functional Encryption for Inner Product: Achieving Const

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Explore advanced cryptography concepts with a focus on functional encryption for inner product, achieving constant-size ciphertexts in prime-order groups.
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1 Lesons
27 minutes
On-Demand
Free-Video
Foundations of Physics @Harvard

Intrinsic Quantum Mechanics - Extending Classical Physics to Quantum Structures

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Explore intrinsic quantum mechanics, focusing on characterizing physical quantities' intrinsic structure and extending classical physics concepts to quantum realm. Gain insights into complex scalar quantities and intrinsic product spaces.
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18 Lesons
1 hour 49 minutes
On-Demand
Free-Video