Utente:Dr Zimbu/Sandbox4
"Oggetti" che prendono il nome da Eulero
In mathematics and physics, there is a large number of topics named in honor of Leonhard Euler, many of which include their own unique function, equation, formula, identity, number (single or sequence), or other mathematical entity. Unfortunately, many of these entities have been given simple and ambiguous names such as Euler's function, Euler's equation, and Euler's formula.
General "Euler-" mathematical topics
- Euler angles defining a rotation in space.
- Euler approximation - (see Euler method)
- Euler brick
- Euler characteristic in algebraic topology and topological graph theory, and the corresponding Euler's formula
- Euler circle
- Eulerian circuit - (see Eulerian path)
- Euler class
- Euler's constant - (see Euler-Mascheroni constant or Euler's number)
- Euler cycle - (see Eulerian path)
- Euler's criterion - quadratic residues modulo primes
- Euler derivative (as opposed to Lagrangian derivative)
- Euler diagram - likely better (but wrongly) known as Venn diagram (which has more restrictions)
- Euler's disk - a circular disk that spins, without slipping, on a surface
- Eulerian graph - (see Eulerian path)
- The Euler integrals of the first and second kind, namely the beta function and gamma function.
- Euler's line - relation between triangle centers
- Euler-Mascheroni constant or Euler's constant γ ≈ 0.577216
- Euler's number, e, the base of the natural logarithm.
- Euler operator - set of functions to create polygon meshes
- Euler parameters - (see Euler-Rodrigues parameters)
- Eulerian path, a path through a graph that takes each edge once.
- Euler polynomials
- Euler pseudoprime
- Euler-Rodrigues parameters - Concerns Lie groups and quaternions
- Euler's rule - finding amicable numbers
- Euler spline - composed of classical Euler polynomial arcs (cred. to Schoenberg, 1973 - PDF)
- Euler squares, usually called Graeco-Latin squares.
- Euler summation
- Euler system, a collection of cohomology classes.
- Euler's three-body problem
(See also: #Other things named after Euler)
Congettura di Eulero
- Congettura di Eulero (somma di potenze)
- Congettura di Eulero sui quadrati greco-latini
- Congettura di Eulero legata al problema di Waring
Equazioni di Eulero
- Equazioni di Eulero (fluidodinamica)
- Equazioni di Eulero (dinamica del corpo rigido)
- Equazioni di Eulero-Bernoulli
- Equazione di Eulero-Cauchy
- Equazione di Eulero-Lagrange
- Equazione di Eulero-Poisson-Draboux
- Equazione di Eulero-Tricomi
Formula di Eulero
- Formula di Eulero:
- Formula di Eulero per i grafi planari
- Formula per le frazioni continue di Eulero
- Prodotto di Eulero
- Formula di Eulero-Maclaurin
- Formule di Eulero-Rodrigues
Funzioni di Eulero
- Funzione di Eulero, una forma modulare
- Euler's homogeneous function theorem ----------------
- Funzione φ di Eulero
Identità di Eulero
- Identità di Eulero:
- A volte è riferita al teorema dei numeri pentagonali
Numeri di Eulero
- La costante e è a volte detta numero di Eulero
- Euler's idoneal numbers ------------------
- Numeri di Eulero
- Numeri euleriani
- Numero di Eulero, in topologia, è a volte la caratteristica di Eulero
- Lucky numbers of Euler ------------------
Euler—theorems
- Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
- Euler's infinite tetration theorem
- Euler's rotation theorem
- Euler's theorem (differential geometry) on the existence of the principal curvatures of a surface and orthogonality of the associated principal directions.
- Euler's theorem in geometry, relating the circumcircle and incircle of a triangle.
- Euclid-Euler theorem
- Euler-Fermat theorem, that whenever a is coprime to m, and φ is the totient function.
Other things named after Euler
- 2002 Euler (an asteroid)
- Euler Medal, a prize for research in combinatorics
- Euler programming language
- Euler (software)
- AMS Euler typeface
- Project Euler
Topics by field of study
Selected topics from above, grouped by subject.
Derivatives and integrals
- Euler approximation - (see Euler's method)
- Euler derivative (as opposed to Lagrangian derivative)
- The Euler integrals of the first and second kind, namely the beta function and gamma function.
- The Euler method, a method for finding numerical solutions of differential equations
- Euler's summation formula, a theorem about integrals.
- Euler-Cauchy equation (or Euler Equation), a second-order linear differential equation
- Euler-Maclaurin formula - relation between integrals and sums
Geometry and spatial arrangement
- Euler angles defining a rotation in space.
- Euler brick
- Euler's line - relation between triangle centers
- Euler operator - set of functions to create polygon meshes
- Euler's rotation theorem
- Euler squares, usually called Graeco-Latin squares.
- Euler's theorem in geometry, relating the circumcircle and incircle of a triangle.
- Euler–Rodrigues formulas - concerns Euler-Rodrigues parameters and 3D rotation matrices
Graph theory
- Euler characteristic in algebraic topology and topological graph theory, and the corresponding Euler's formula
- Eulerian circuit - (see Eulerian path)
- Euler class
- Euler cycle - (see Eulerian path)
- Euler diagram - likely better (but wrongly) known as Venn diagram (which has more restrictions)
- Euler's formula for planar graphs: v − e + f = 2
- Eulerian graph - (see Eulerian path)
- Euler number (topology) - now, Euler characteristic
- Eulerian path, a path through a graph that takes each edge once.
Logarithms
- Euler's number, e ≈ 2.71828, the base of the natural logarithm, also known as Napier's constant.
- Euler-Mascheroni constant or Euler's constant γ ≈ 0.577216
Physical systems
- Euler's disk - a circular disk that spins, without slipping, on a surface
- Euler equations in fluid dynamics.
- Euler's equations, concerning the rotations of a rigid body.
- Euler number (physics), the cavitation number in fluid dynamics.
- Euler's three-body problem
- Euler–Bernoulli beam equation, concerning the elasticity of structural beams.
- Euler formula in calculating the buckling load of columns.
- Euler-Tricomi equation - concerns transonic flow
Polynomials
- Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
- Euler polynomials
- Euler spline - composed of classical Euler polynomial arcs (cred. to Schoenberg, 1973 - PDF)
Prime numbers
- Euler's criterion - quadratic residues modulo by primes
- Euler product - infinite product expansion, indexed by prime numbers of a Dirichlet series
- Euler pseudoprime
- Euler's totient function (or Euler phi (φ) function) in number theory, counting the number of coprime integers less than an integer.
[[cs:Seznam pojmů pojmenovaných po Leonhardu Eulerovi]] [[de:Leonhard Euler#Nach_Euler_Benanntes]] [[ru:Список объектов, названных в честь Леонарда Эйлера]]