#linearalgebra
#LinearAlgebra #AlgebraicGeometry #MathSky
Let V be a vector space, dim V = d.
The map V⊗V→S²V induces
f:V→S²V⊗V*.

If d=2, coker f = (canonically isomorphic to) S³V⊗Λ²V*.
If d=3, coker f =Λ²S²V⊗Λ³V*.

This is a key step in a paper I am currently writing.

1/3
November 9, 2025 at 1:37 PM
I'm continuing my exploration of the #OpenGL rendering pipeline's mathematical foundation, examining #projection #matrices, one of the final computational steps before #rasterization.

#indiedev #gamedev #math #linearalgebra #computergraphics #games #programming

garagecraft.games/devlog/2025/...
September 17, 2025 at 3:17 PM
From #Camera- to #Clip-Space, to #NDCs and z-Fighting - the latest article in my series examining the mathematical underpinnings of the #OpenGL rendering pipeline focuses on projection matrices.

thorsten.suckow-homberg.de/docs/article...

#LinearAlgebra #Math #gamedev #indiedev #indiegames
September 17, 2025 at 10:21 AM
#道具としての線型代数
#一石賢
#日本実業出版社
図書館でたまたまこの本を手にし、読んでみたら、今までよく理解できなかった、行列式の定義に使われる置換が、とてもわかりやすく説明されていたので、その場で即、注文した。
この本でしばらく勉強します。
#線型代数 #線形代数
#linearalgebra
March 20, 2024 at 5:45 AM
#APLQuest 2013-05: Write a function that produces an n×n identity matrix (see apl.quest/2013/5/ to test your solution and view ours). #APL #Matrix #LinearAlgebra
APL Quest 2013-5: Identity Crisis
Write a function which produces an n×n identity matrix.
apl.quest
November 3, 2025 at 2:09 PM
Whether you're a tech enthusiast, math student, or just curious about how modern technology works, this book is a goldmine. Download link next.

Available through UBC Mathematics.

#LinearAlgebra #Mathematics #TechEducation #AI
January 13, 2025 at 6:00 PM
Test Bank For Linear Algebra with Applications Second Edition by Jeffrey Holt (All Chapters)
#testbank #testbankforlinearalgebra #algebra #linearalgebra #AlgebrawithApplications

www.stuvia.com/doc/9156130/...
September 17, 2025 at 6:24 AM
day four #Julia #JuliaLang #AdventOfCode #AOC

flight got in a little late so i got a bit of a late start, and didn't have time to port my helper functions over. LinearAlgebra.jl's diag() was so clutch, though I had to write my own function to quickly transpose my matrix, anyone know a better way?
December 4, 2024 at 6:46 AM
I told myself to pick up a relaxing hobby for my evenings 🥲

#chinese #math #linearalgebra #learningisfun #language
January 31, 2025 at 1:38 AM
Nice Jacobians for normalizing flows

www.linearalgebraforprogrammers.com/blog/jacobia...

A short overview of Jacobians with easy to calculate determinants used in normalizing flows

#linearalgebra #math #ml
Nice Jacobians for normalizing flows. Linear Algebra for Programmers
Nice Jacobians for normalizing flows.
www.linearalgebraforprogrammers.com
March 6, 2025 at 1:44 AM
📢 New publication 'On maximal orthogonal partial Latin squares and minimal codes with specified length, minimum distance and covering radius' by Diane Donovan, Mike Grannell & Emine Şule Yazıcı in Designs, Codes and Cryptography 🧪
#LinearAlgebra #Geometry

doi.org/10.1007/s106...
On maximal orthogonal partial Latin squares and minimal codes with specified length, minimum distance and covering radius - Designs, Codes and Cryptography
This paper presents a conjecture concerning the minimum possible size of a pair of maximal orthogonal partial Latin squares of a given order n. We show that in the balanced case the optimal structure is formed from a pair of partial Latin squares, each comprising three subsquares whose orders are as close as possible to one another and sum to n. Further results are obtained in unbalanced cases. The problem can be recast in terms of finding the minimum number of blocks in a maximal partial transversal design TD(4, n), and as finding the minimum number of codewords in an n-ary code of length 4 having minimum distance 3 and covering radius 2. The conjecture is extended to sets of k maximal mutually orthogonal partial Latin squares and hence to n-ary codes of length $$k+2$$ k + 2 , minimum distance $$k+1$$ k + 1 and covering radius k.
doi.org
September 28, 2025 at 11:48 PM
January 24, 2025 at 2:00 PM
Stability criteria for hybrid linear systems with singular perturbations
Ihab Haidar, Jamal Daafouz et al.
Paper
Details
#HybridSystems #LinearAlgebra #ControlTheory
July 12, 2025 at 9:03 AM
My #wiki of #calculus, #linearalgebra, #computerscience. It's incomplete and I have a dream of reaching up to differential equations and applications to #games. Link in my profile.

#math #education #teaching #computing #selflearning #programing
March 26, 2025 at 1:49 AM
As I was working on porting the rotation matrices for the #math library, I took a detour to formalize the underlying #linearalgebra. My goal was to move beyond treating the rotational part of the model matrix as just a #blackbox and instead understand it from a coordinate system perspective.
August 26, 2025 at 6:55 AM