Lectures related to Line (geometry)

Vectorworks Educational Version

Introduces Vectorworks Educational Version for architectural drawings, covering tools, layers, and annotations.

Vector Equations and Normal Equations

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Intersection of a Line and an Opaque Plate, Parallel Line to a Plane

Explores the intersection of a line and an opaque plate using GeoGebra.

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Geometric Descriptive: Straight Lines and Line Projections

Explores straight lines, line purity, and line projections in geometric descriptive.

Guiding Vectors in Analytical Geometry

Explores guiding vectors in analytical geometry, emphasizing the importance of non-collinear and non-coplanar vectors in defining coordinate systems.

AutoCAD: Basic Functions for Vault Plan

Covers the basic functions of AutoCAD for creating a vault plan, including tools, properties, and parametric modifications.

Vectorial Geometry: Affine Subspaces

Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.

Geometric Traces and Projections: Planes and Lines

Introduces geometric traces and projections, defining planes and lines through their projections and exploring the relative positions of lines in space.

Segmentation of Lines: Definitions and Notations

Covers the definition of line segments, notations, axioms, and plane separation.

Analytical Geometry: Lines Study

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Matrix Operations: Inverse and Reduction to Echelon Form

Covers matrix operations and reduction to echelon form with practical examples.

Pseudorandomness: Theory and Applications

Explores pseudorandomness theory, AI challenges, pseudo-random graphs, random walks, and matrix properties.

Interlacing Families and Ramanujan Graphs

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Hertz Theory: Real Area of Contact

Explores Hertz theory for contact problems and the Tabor measurement method.

Convex Polyhedra and Linear Programs

Explores convex polyhedra, linear programs, and their optimization importance.

Poisson Paradigm: Qualitative / Quantitative

Covers the Poisson Paradigm, including the First/Second Moment Method and Martingales, discussing dependency graphs and Chernoff bounds.

Interlacing Families and Ramanujan Graphs

Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.

Interlacing Polynomials

Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.