Welcome to Covariance
...good general theory does not search for the maximum generality, but for the right generality.
Recently updated notes
Note | Last Updated |
---|---|
Scholarships & Awards | 9:58 AM - April 25, 2025 |
Donald and Diana Jackson Scholarship in Honor of Clyde Fisher | 9:48 AM - April 25, 2025 |
Clyde P. Fisher Memorial | 9:43 AM - April 25, 2025 |
Knowledge
Mathematics
Algebra theory
Not to be confused with the general concept of algebra (abstract or otherwise), an algebra is an algebraic structure similar to a module, only with two internal binary operations.
Note | Last Updated |
---|---|
Algebras | 7:21 AM - March 31, 2025 |
Exterior algebras | 7:22 AM - March 31, 2025 |
Symmetric algebras | 7:23 AM - March 31, 2025 |
Symmetric and alternating tensors | 7:23 AM - March 31, 2025 |
Tensor algebras | 7:23 AM - March 31, 2025 |
Algebraic geometry
Note | Last Updated |
---|---|
Examples of classical conic duality | 7:24 AM - March 31, 2025 |
Category theory
Note | Last Updated |
---|---|
Abelian categories | 12:33 PM - March 31, 2025 |
Additive categories | 12:34 PM - March 31, 2025 |
Adjoints | 12:38 PM - March 31, 2025 |
Categories | 12:40 PM - March 31, 2025 |
Chain complexes | 12:34 PM - March 31, 2025 |
Diagram chases without elements | 7:26 PM - November 23, 2024 |
Diagram lemmas | 12:34 PM - March 31, 2025 |
Double complexes and mural maps | 12:35 PM - March 31, 2025 |
Exact sequences and chain homology | 12:35 PM - March 31, 2025 |
Examples of adjoints | 12:39 PM - March 31, 2025 |
Functor categories | 12:46 PM - March 31, 2025 |
Functors | 12:46 PM - March 31, 2025 |
Natural transformations | 12:47 PM - March 31, 2025 |
Preadditive categories | 12:36 PM - March 31, 2025 |
Properties of adjoints | 12:39 PM - March 31, 2025 |
Special morphisms | 12:47 PM - March 31, 2025 |
Spectral sequences | 12:37 PM - March 31, 2025 |
The Salamander Lemma | 12:37 PM - March 31, 2025 |
Universal arrows and elements | 12:48 PM - March 31, 2025 |
Universal Properties I - Inspiring Examples | 12:48 PM - March 31, 2025 |
Universal Properties II - Commutative diagrams, cones and limits | 10:38 AM - April 01, 2025 |
Universal Properties III - Yoneda's Lemma | 12:50 PM - March 31, 2025 |
Field theory
Note | Last Updated |
---|---|
A question about finite fields | 7:24 AM - March 31, 2025 |
Group theory
Note | Last Updated |
---|---|
Normal subgroups | 7:25 AM - March 31, 2025 |
Module theory
Representation theory
Note | Last Updated |
---|---|
Representations of groups | 2:31 PM - April 09, 2025 |
Ring theory
Note | Last Updated |
---|---|
Chinese Remainder Theorem | 7:25 AM - March 31, 2025 |
Graded rings | 7:25 AM - March 31, 2025 |
Least common multiples | 7:34 PM - July 21, 2024 |
Principal ideal domains (PIDs) | 6:29 AM - May 07, 2024 |
Tropical algebraic geometry
Note | Last Updated |
---|---|
Investigation into tropical tangency loci | 7:27 AM - March 31, 2025 |
Linear tropical varieties | 7:27 AM - March 31, 2025 |
Quadratic tropical varieties | 7:27 AM - March 31, 2025 |
Tropical varieties | 7:27 AM - March 31, 2025 |
Software
Blender
Note | Last Updated |
---|
Houdini
Note | Last Updated |
---|
Note | Last Updated |
---|---|
Systems of equations | 2:56 PM - August 06, 2024 |