Lectures related to One-dimensional space

Focuses on solving the first question of exercise 23 involving a quantum particle.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores the Nonlinear Integrate-and-Fire Model, reduction to one dimension, stimulus impact, and sparse activity in vivo.

Physics: Introduction to Dynamics and Energy

Covers one-dimensional and two-dimensional motion, dynamics, and energy with a focus on mathematical modeling and rigorous approach.

AutoCAD: Orthophotos and Orthoplans Calibration

Covers the calibration of orthophotos and orthoplans in AutoCAD, emphasizing precise modifications and accurate measurements.

Decomposition into Line Metrics: Example and Outlook

Covers the decomposition into line metrics, providing examples and discussing its implications.

Computational Thinking Test: Evaluation and Design

Presents a test to evaluate computational thinking skills, discussing its design, analysis of previous tools, sample question, and study results.

Threshold Functions in Neural Networks

Explores threshold functions in neural networks for classifying data points based on positive and negative values.

Tori: Character Forms and Monomials

Explores Tori in algebraic geometry, emphasizing character forms and monomials.

Descent methods and line search: Inexact line search

Explores descent methods, line search, and the importance of small steps.

Introduction to Structures: Part 2

Introduces subsystems, forces calculation, materials, and dimensioning in structures, emphasizing interactive learning.

Machine Learning Fundamentals: Overfitting and Regularization

Covers overfitting, regularization, and cross-validation in machine learning, exploring polynomial curve fitting, feature expansion, kernel functions, and model selection.

Curse of Dimensionality in Deep Learning

Delves into the challenges of deep learning, exploring dimensionality, performance, and overfitting phenomena in neural networks.

AutoCAD: Text and Annotations

Explores creating text and annotations in AutoCAD, including managing properties and working with layers.

Dimensional Analysis: Fundamentals and Applications

Covers dimensional analysis fundamentals and applications in scientific and engineering problems, including estimating atom size using Schrödinger's equation.

Textual Data Analysis: Classification & Dimensionality Reduction

Explores textual data classification, focusing on methods like Naive Bayes and dimensionality reduction techniques like Principal Component Analysis.

Boundary Problems in One Dimension (Continuation)

Explores the resolution of one-dimensional boundary problems with different cord models and highlights the distinction from other types of problems.

Tensor Spaces and Unitary Representations

Explores tensor spaces, unitary representations, and prime factorization in mathematical presentations.

Finite Difference Methods: Linear Systems and Band Matrices

Covers the application of finite difference methods to solve partial differential equations.

Dimensioning: Introduction, Forces, Materials and Sizing

Introduces dimensioning structures with force diagrams, balance, and sizing.