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List of topics named after Carl Friedrich Gauss

Carl Friedrich Gauss (1777 – 1855) is the eponym of all of the topics listed below.

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-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 arithmetic geometric mean|AGM of 1 and \scriptstyle\sqrt{2}, in number theory.
- continued fraction of Gauss|Gauss's continued fraction, an analytic continued fraction derived from the hypergeometric functions.
- Gauss's digamma theorem, a theorem about the digamma function.
- Error function|Gauss error function
- 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 (polynomial)|Gauss's lemma in relation to polynomials
- Gauss's lemma (number theory)|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

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 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 surface
- Gaussian year
- GAUSSIAN|The GAUSSIAN software program

Other notable achievements of Gauss

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 in his own:
- Proved Cauchy's integral theorem before Augustin Louis Cauchy|Cauchy but never published it.
- Discovered and proved the theorema egregium.

Gauss's inventions


- Electromagnetic telegraph
- Heliotrope_(instrument)|Heliotrope
- Magnetometer
- Photometer
- Double-Gauss lens
- Gauss gun

Gauss's identities


- Gauss multiplication formula may refer to the multiplication theorem.
- Gauss interpolation formula
- Gauss-Kummer series
- Gauss formula
- Gauss transformation
- Gauss' inequality
- Gauss theorems (two theorems) about the Euler function.
- Gauss test

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. Category: German mathematicians Category: Mathematicians Category: Carl Friedrich Gauss

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