Concept

Scaling (geometry)

Related lectures (23)

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Statistical Symmetries in Random Fields

Explores statistical symmetries in random fields, emphasizing stationarity and homogeneity under various transformations and their practical implications.

Linear Equations: Solutions and Conditions

Explores linear equations, infinity of solutions, and incompatible systems.

Critical Behavior in General Relativity

Explores critical behavior in general relativity, including scaling factor and coupling constant flow.

Link-Based Ranking: HITS

Covers the HITS algorithm, computing hubs and authorities, convergence, and sample results.

Linear Algebra: Matrix Decomposition and Base Change

Covers the algorithm for matrix decomposition and base change in linear algebra.

Z-Transform: Basics

Covers the Z-Transform, transfer function for LTI systems, and its properties, including linearity and time shift.

Conformal Field Theory

Covers the basics of Conformal Field Theory, including operators and correlators.

Lecture 5: Conformal Transformations

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

2D Transformations: Linear Maps & Matrices

Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.

Symmetries of Navier-Stokes Equations

Explores the symmetries of Navier-Stokes equations, including dynamics preservation and periodic boundary conditions.

Z-Transform Properties

Covers the transfer function of composed LTI systems, difference equations, and Z-Transform properties.

Fourier Properties

Covers the properties of the continuous-time Fourier transform and provides examples to illustrate these concepts.

Homothetic Factors and Materials

Explores homothetic factors, stiffness, traction, flexion, torsion, and quality factor in industrial robotics materials and design.

Size Extensivity & Coupled Cluster Theory

Explores size extensivity, coupled cluster theory, exponential form advantages, and energy principles in quantum chemistry.

Recommender Systems: Matrix Factorization

Explores matrix factorization in recommender systems, covering optimization, evaluation metrics, and challenges in scaling.

Feature Engineering: Missing Data and Standardization

Covers techniques for handling missing data and standardizing features, as well as transforming input and output data.

Linear Equations: Elementary Operations

Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.

Recommender Systems: Part 1

Introduces recommender systems, collaborative filtering, content-based recommendation, similarity metrics, and matrix factorization.

Image Processing I: Filters and Transformations

Explores moving average and exponential filters, Gaussian filtering, and linear scale-space concepts in image processing.