# List of things named after Carl Friedrich Gauss

Carl Friedrich Gauss (1777–1855) is the eponym of all of the topics listed below.
There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy. The English eponymous adjective **Gaussian** is pronounced /ˈɡaʊsiən/ *GOWSS-i-ən*.[1]

## Mathematics

### Algebra and linear algebra

- Gaussian elimination, also known as "row reduction" or "Gaussian method"
- Gauss–Jordan elimination
- Gauss–Seidel method
- Gauss's cyclotomic formula
- Gauss's lemma in relation to polynomials
- Gaussian binomial coefficient, also called
*Gaussian polynomial*or*Gaussian coefficient* - Gauss transformation

### Geometry and differential geometry

- Gauss–Bodenmiller theorem – described on website of University of Crete
- Gauss–Bolyai–Lobachevsky space, a hyperbolic geometry
- Gauss–Bonnet theorem, a theorem about curvature in differential geometry for 2d surfaces
- Chern–Gauss–Bonnet theorem in differential geometry, Shiing-Shen Chern's generalization of the above theorem to higher dimensions

- Gauss's braid in braid theory – a four-strand braid
- Gauss–Codazzi equations
- Gauss–Manin connection, a connection on a vector bundle over a family of algebraic varieties
- Gauss–Newton line – described in Journal for Geometry and Graphics, see also Newton line
- Gauss's area formula
- Gauss's lemma in Riemannian geometry
- Gauss map in differential geometry
- Gaussian curvature, defined in his Theorema egregium
- Gauss circle problem

### Number theory

- Gauss–Kuzmin–Wirsing constant, a constant in number theory
- Gauss's constant, the reciprocal of the AGM of 1 and
- Gauss's digamma theorem, a theorem about the digamma function
- Gauss's generalization of Wilson's theorem
- Gauss's lemma in number theory
- Gauss composition – described on website of University of Université de Montréal
- Gauss map in number theory
- Gaussian moat
- Gauss class number problem
- Gauss's multiplication formula

#### Cyclotomic fields

- Gaussian period
- Gaussian rational
- Gauss sum, an exponential sum over Dirichlet characters
- Elliptic Gauss sum, an analog of a Gauss sum
- Quadratic Gauss sum

### Analysis, numerical analysis, vector calculus and calculus of variations

- Gaussian quadrature
- Gauss–Hermite quadrature
- Gauss–Jacobi quadrature
- Gauss–Kronrod quadrature formula
- Gauss–Newton algorithm
- Gauss–Legendre algorithm
- Gauss's complex multiplication algorithm
*Gauss's theorem*may refer to the divergence theorem, which is also known as the*Ostrogradsky–Gauss theorem*- Gauss pseudospectral method

#### Complex analysis and convex analysis

- Gauss–Lucas theorem
- Gauss's continued fraction, an analytic continued fraction derived from the hypergeometric functions
- Gauss's criterion – described on Encyclopedia of Mathematics
- Gauss's hypergeometric theorem, an identity on hypergeometric series

### Statistics

#### Gaussian function and topics named for it

- The Normal Distribution, also known as the Gaussian distribution, the most common bell curve in statistics
- The Gaussian function, the function used in the normal distribution, but also used elsewhere
- The Exponentially modified Gaussian distribution or function, used for description of peak shape in many techniques
- Gauss error function
- Gaussian process
- Gaussian filter
- Gauss–Laplace pyramid, sometimes called the Burt–Adelson pyramid – described on computervisionpoints.com
- Gauss iterated map (dynamical systems)
- Additive white Gaussian noise
- Gaussian beam
- Gaussian blur, a technique in image processing
- Gaussian fixed point
- Gaussian random field
- Gaussian integral
- Gaussian variogram model
- Gaussian mixture model
- Gaussian network model
- Gaussian noise
- Gaussian smoothing
- Inverse Gaussian distribution, also known as the Wald distribution

### Knot theory

- Gauss code – described on website of University of Toronto
- Gauss linking integeral (knot theory)

### Other mathematical areas

- Gauss's algorithm for Determination of the day of the week
- Gauss's Easter algorithm
- Gaussian bracket – described on WolframMathWorld
- Gaussian's modular arithmetic
- Gaussian integer, usually written as
**Z**[*i*]

- Gaussian logarithms (also known as addition and subtraction logarithms)

## Physics

### Electromagnetism

- gauss, the CGS unit for magnetic field
- Degaussing, to demagnetize an object
- Gauss rifle or coilgun
- Gauss's law for magnetism
- Gaussian surface
- Gauss's law, giving the relationship between flux through a closed surface and the enclosed source

## Awards and recognitions

- Carl Friedrich Gauss Prize, a mathematics award
- Gauss Lectureship, a mathematical distinction
- The Gauss Mathematics Competition in Canadian junior high schools, an annual national mathematics competition administered by the Centre for Education in Mathematics and Computing

## Place names and expedition named in his honour

- The Gauss expedition, the first German expedition to Antarctica
- The ship
*Gauss*, used in the Gauss expedition to the Antarctic - Gaussberg, an extinct volcano discovered by the above-mentioned expedition

- The ship
- The crater Gauss on the Moon[2]
- Asteroid 1001 Gaussia
- Gauss Peninsula, East Greenland
- Mount Gauss, in Antarctica, not to be confused with the aforementioned Gaussberg
- Gauss Tower, an observation tower in Dransfeld, Germany
- Gaußberg, a hill in Braunschweig
- Several buildings named "Gauss Haus" or "Gauss Building":
- The Gauss Building at the University of Idaho (College of Engineering)
- Gauss Haus, an NMR center at the University of Utah
- The 'Gauss House', a common room in the University of Sussex Mathematical and Physical Sciences department.
- A dormitory building is named after him in University of California, Santa Cruz, in Crown College

## Institutions named in his honour

- The Carl-Friedrich-Gauß School for Mathematics, Computer Science, Business Administration, Economics, and Social Sciences of Braunschweig University of Technology
- The Carl-Friedrich-Gauss Gymnasium (a school for grades 5–13) in Worms, Germany

## Other things named for him

*Gaussia*, a palm genus described by Hermann Wendland with the then new species*Gaussia princeps*, collected by Charles Wright in western Cuba. Named in “memoriam astronomi Caroli Friderici Gauss”.[3]*Gaussia*, a genus of copepods- Gaussian, a computational chemistry software program
- GAUSS, a matrix programming language for mathematics and statistics

## References

- Wells, John (2008).
*Longman Pronunciation Dictionary*(3rd ed.). Pearson Longman. ISBN 978-1-4058-8118-0. - Andersson, L. E.; Whitaker, E. A., (1982). NASA Catalogue of Lunar Nomenclature. NASA RP-1097.
- Wendland, H., 1865. Ueber die neue Palmengatung Gaussia. Nachr. Königl. Ges. Wiss. Georg-Augusts-Univ. 1865.

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