Lectures related to Conical combination

Covers permutation, combination, and the pigeonhole principle in counting problems.

Generalized Conservative Oscillator: Particular Solutions and Modal Base

Explores specific solutions and modal base in a generalized conservative oscillator.

Covers the concept of density matrix and its properties, focusing on statistical mixtures and measurements.

Provides an in-depth analysis of the Standard Model, covering topics such as the Higgs mechanism, gauge boson interactions, and the role of chirality in particle physics.

Linear Equations: Vectors and Matrices

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Matrix Calculus: Rank and Decomposition

Covers matrix rank, determinant, and decomposition in linear algebra.

Multivariable Control: Eigenvalues and Modes

Explores eigenvalues and modes in multivariable control systems, focusing on their analysis and behavior.

Vector Subspaces in R3: Bases and Equations

Covers the determination of a solution by providing a base for a vector subspace V in R3.

Vectors: Fundamentals

Covers the basic concepts related to vectors, including their definition, operations, and properties, as well as applications through examples and the Varignon's theorem.

AdaBoost: Decision Stumps

Explores AdaBoost with decision stumps, discussing error rules, stump selection, and the need for a bias term.

Forced Oscillator Regime: Generalized Conservative Approach

Explores the forced oscillator regime in vibratory mechanics, emphasizing clean pulsations and a generalized conservative approach.

Linear Combinations: Basics

Introduces linear combinations of vectors in R^n and their properties.

Reduced Density Matrices: System+Environment

Covers the concept of density matrices and the system-environment interaction.

Bilinear Forms: Theory and Applications

Covers the theory and applications of bilinear forms in various mathematical contexts.

Convex Sets and Functions

Introduces convex sets and functions, discussing minimizers, optimality conditions, and characterizations, along with examples and key inequalities.

Vector Space Polynomial: Parameter b

Explores the polynomial q(t) = bt - 1² in a vector space context.

Canonical Representation of Discrete Signals

Explores the canonical representation of discrete signals as a linear combination of dispersed pulses and other related concepts.

Vector Approximation and Distance Calculation

Explores vector approximation and distance calculation through exercises and solutions, focusing on orthogonal projections and vector spaces.

Rational Powers: Definition and Properties

Covers the concept of rational powers and their properties.

Logistic Regression and Polynomial Regression

Introduces logistic regression for binary classification and polynomial regression on polynomial variables.