List of topics named after Carl Friedrich Gauss
From Wikipedia, the free encyclopedia
Carl Friedrich Gauss (1777 – 1855) is the eponym of all of the topics listed below.
Contents |
[edit] Topics including "Gauss"
- Carl Friedrich Gauss Prize, a mathematics award
- Degaussing, to demagnetize an object
- Gauss (unit), a unit of magnetic field (B)
- Gauss-Bolyai-Lobachevsky space, a hyperbolic geometry
- Gauss–Bonnet theorem, a theorem about curvature in differential geometry
- Gauss-Codazzi equations
- Gauss-Jordan elimination, a method in linear algebra
- Gauss–Kronrod quadrature formula
- Gauss-Kuzmin-Wirsing constant, a constant in number theory
- Gauss–Manin connection, a connection on a vector bundle over a family of algebraic varieties
- Gauss–Markov process
- Gauss–Markov theorem
- Gauss–Laplace pyramid, sometimes called the Burt–Adelson pyramid.
- Gauss linking integral (knot theory)
- Gauss-Krüger coordinate system
- Gauss–Seidel method
- Gauss-Newton algorithm
- Gauss-Legendre algorithm
- Gauss–Lucas theorem
- Gauss' principle of least constraint
- Gauss's constant, the reciprocal of the AGM of 1 and
, in number theory. - Gauss's continued fraction, an analytic continued fraction derived from the hypergeometric functions.
- Gauss's digamma theorem, a theorem about the digamma function.
- Gauss error function
- Gauss' generalization of Wilson's theorem.
- Gauss gun
- Gauss's hypergeometric theorem, an identity on hypergeometric series.
- Gauss's law, giving the relationship between flux through a closed surface and the enclosed source.
- Gauss's law for magnetism
- Gauss's lemma in relation to polynomials
- Gauss's lemma in number theory
- Gauss map
- Gauss Peninsula, East Greenland
- Gauss sum, an exponential sum over Dirichlet characters.
- Gauss' theorem may refer to the divergence theorem, which is also known as the Ostrogradsky-Gauss theorem.
- Gauss composition
- Generalized Gauss-Bonnet theorem
[edit] Topics including "Gaussian"
- Additive white Gaussian noise
- Gaussian beam
- Gaussian binomial, also called the Gaussian coefficient
- Gaussian blur, a technique in image processing.
- Gaussian curvature
- Gaussian distribution, also named the Normal distribution, a type of probability distribution.
- Gaussian elimination
- Gaussian function of Gaussian distribution
- Gaussian filter
- Gaussian fixed point
- Gaussian free field
- Gaussian graph
- Gaussian gravitational constant
- Gaussian grid
- Gaussian's modular arithmetic
- Gaussian integer
- Gaussian integral
- Gaussian isoperimetric inequality
- Gaussian measure
- Gaussian model; see Variogram
- Gaussian network model
- Gaussian method
- Gaussian noise
- Gaussian optics
- Gaussian orbital
- Gaussian period
- Gaussian polynomial; see Gaussian binomial
- Gaussian prime
- Gaussian process
- Gaussian quadrature
- Gaussian rational
- Gaussian smoothing
- Gaussian surface
- Gaussian year
- Inverse Gaussian distribution, also known as the Wald distribution
- The GAUSSIAN software program
[edit] Other notable achievements of Gauss
[edit] Gauss's proofs
Proofs for conjectured theorems.
- The quadratic reciprocity law
- The fundamental theorem of algebra
- Fermat polygonal number theorem for n = 3
proofs for theorems he discovered himself:
- Proved Cauchy's integral theorem before Cauchy but never published it.
- Discovered and proved the theorema egregium.
[edit] Gauss's inventions
[edit] Gauss's identities
- Gauss multiplication formula may refer to the multiplication theorem.
- Gauss interpolation formula
- Gauss-Kummer series
- Gauss formula
- Gauss transformation
- Gauss's inequality
- Gauss theorems (two theorems) about the Euler function.
- Gauss test
[edit] Gauss conjectures
- The prime number theorem
- Gauss-Kuzmin distribution, the distribution of integers in a continued fraction.
- Gauss circle problem
- Gauss class number problem.
- Gauss made progress toward proving the Kepler conjecture.
