Concept

Finite geometry

Related lectures (28)

Covers the basics of finite fields, including arithmetic operations and properties.

Geometrically Finite Elements: Coordinate Transformation

Discusses the transformation of regular finite elements into geometrically distorted elements and the effect of coordinate transformation on approximation.

Finite Fields and Vector Spaces

Explores finite fields, vector spaces, commutative groups, and field properties, highlighting their significance in coding theory and algebraic computations.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Advanced Linear Algebra

Covers advanced topics in linear algebra, including finite fields, invertible matrices, and vector spaces.

Transporters: a proxy for parallel transport

Explores transporters as a practical alternative to parallel transport, discussing minimal requirements, examples with matrices, pragmatic choices, and optimization algorithms.

Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Tangent Spaces in Algebraic Geometry

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Finite Fields and Group Theory

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

Projective Geometry: Fundamentals and Applications

Explores the fundamentals of projective geometry and its practical applications in solving geometric problems.

Finite Dimensional Spaces

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.

Linear Algebra: Best Approximation and Properties

Explores best approximation error and Shiffnen matrix properties in linear algebra.

Numerical Analysis: Solving Linear Systems in Higher Dimensions

Covers numerical analysis and optimization, focusing on solving linear systems in higher dimensions using finite difference methods.

Linear Representations: Basics and Examples

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Dimension of a Subspace

Covers the concept of the dimension of a subspace in a finite-dimensional vector space.

Vector Spaces Equivalence

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Dimension of Vector Subspace Sum

Explains the dimension of a sum of vector subspaces in a vector space.

Elliptic Curves: Group Law and Key Exchange

Covers the group law on elliptic curves and its role in key exchange protocols.

Centroids and Stress-Strain Diagrams

Explains centroids of plane areas and normal stresses in beams.

Finite Fields and Vector Spaces

Explores finite fields, isomorphisms, and vector spaces over finite fields.