math.RA Rings and Algebras
- Google's Pagerank algorithm is based, in part, on the singular value decomposition.
- Fourier analysis / transforms and linear algebra is at work in the world millions of times per second (video, audio). In particular, creating or displaying a JPEG image requires the discrete Fourier transform.
- Quaternions are used in 3D modeling and animation software to represent rotations in a more robust form than Euler angles (helping to avoid transition issues like gimbal lock).
- Every simulation using Finite Element Method uses algebra in very extensive way.
- Tropical algebra has been used to design product-mix auctions and to calculate demand (see Baldwin-Klemperer).
