لیونہارڈ اویلر سے منسوب اشیاء کی فہرست
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ریاضیات اور طبیعیات میں بہت سے رشتے لیونہارڈ اویلر کے نام سے منسوب ہیں جن میں سے بعض کو اویلر مساوات کہا جاتا ہے۔
اویلر کے قیاسات
[ترمیم](Also see Euler's conjecture.)
اویلر کی مساوات
[ترمیم]- Euler's equation – usually refers to Euler's equations (rigid body dynamics), Euler's formula, Euler's homogeneous function theorem, or اویلر شناخت
- Euler equations (fluid dynamics) in سيالی حرکيات.
- Euler's equations (rigid body dynamics), concerning the rotations of a rigid body.
- Euler–Bernoulli beam equation, concerning the elasticity of structural beams.
- Euler–Cauchy equation (or Euler equation), a second-order linear differential equation
- Euler–Lagrange equation (in regard to minimization problems in calculus of variations)
- Euler–Lotka equation (mathematical demography)
- Euler–Poisson–Darboux equation
- Euler's pump and turbine equation
- Euler–Tricomi equation – concerns transonic flow
- Euler transform used to accelerate the convergence of an alternating series and is also frequently applied to the hypergeometric series
اویلر کے کلیات
[ترمیم]- Euler's formula e ix = cos x + i sin x in complex analysis.
- Euler's formula for planar graphs or polyhedra: v − e + f = 2
- Euler's formula for the critical load of a column:
- Euler's continued fraction formula
- Euler product formula for the ریمان زیٹا دالہ.
- Euler–Maclaurin formula (Euler's summation formula) – relation between integrals and sums
- Euler–Rodrigues formulas concern Euler–Rodrigues parameters and 3D rotation matrices
اویلر کی دوالہ
[ترمیم]- The Euler function, a modular form that is a prototypical q-series.
- Euler's homogeneous function theorem
- Euler's totient function (or Euler phi (φ) function) in نظریۂ عدد, counting the number of coprime integers less than an integer.
- Euler hypergeometric integral
اویلر کی شناخات
[ترمیم]- اویلر شناخت e iπ + 1 = 0.
- Euler's four-square identity, which shows that the product of two sums of four squares can itself be expressed as the sum of four squares.
- اویلر شناخت may also refer to the pentagonal number theorem.
اویلر کے اعداد
[ترمیم]- E (ریاضیاتی دائم), e ≈ 2.71828, the base of the قدرتی لاگرتھم, also known as Napier's constant.
- Euler's idoneal numbers
- Euler numbers are an integer sequence.
- Eulerian numbers are another integer sequence.
- Euler number (physics), the cavitation number in سيالی حرکيات.
- Euler number (topology) – now, Euler characteristic
- Lucky numbers of Euler
- Euler–Mascheroni constant
- Eulerian integers are the numbers of form a + bω where سانچہ:Mvar is a complex cube root of 1.
اویلر کے قضیہ
[ترمیم]- 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 محدد دائرہ and incircle of a مثلث.
- Euclid–Euler theorem
- Euler–Fermat theorem, that aφ(m) ≡ 1 (mod m) whenever سانچہ:Mvar is coprime to سانچہ:Mvar, and سانچہ:Mvar is Euler's totient function
- Euler's theorem equating the number of partitions with odd parts and the number of partitions with distinct parts. See Glaisher's theorem.
- Euler's adding-up theorem in economics
اویلر کے قانون
[ترمیم]![](http://upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Crystal128-kdict.svg/20px-Crystal128-kdict.svg.png)
- Euler's first law, the linear momentum of a body is equal to the product of the mass of the body and the velocity of its center of mass.
- Euler's second law, the sum of the external moments about a point is equal to the rate of change of angular momentum about that point.
اویلر کے نام پر رکھی دوسری اشیاء
[ترمیم]- 2002 Euler (a minor planet)
- AMS Euler typeface
- Euler (software)
- Euler acceleration or force
- Euler Book Prize
- Euler Medal , a prize for research in تالیفیات
- Euler programming language
- Euler–Fokker genus
- Project Euler
مطالعہ کے میدان کے لحاظ سے عنوانات
[ترمیم]===تحلیل: مشتق، تکامل اور لاگرتھم===.
- 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 گاما دالہ.
- The Euler method, a method for finding numerical solutions of differential equations
- E (ریاضیاتی دائم) e ≈ 2.71828, the base of the قدرتی لاگرتھم, also known as Napier's constant.
- The Euler substitutions for integrals involving a square root.
- Euler's summation formula, a theorem about integrals.
- Cauchy–Euler equation (or Euler equation), a second-order linear differential equation
- Euler–Maclaurin formula – relation between integrals and sums
- Euler–Mascheroni constant or Euler's constant γ ≈ 0.577216
ہندسہ اور فضائی ترتیب
[ترمیم]- Euler angles defining a rotation in space.
- Euler brick
- اویلر خط – 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 محدد دائرہ and incircle of a مثلث.
- Euler–Rodrigues formulas concern Euler–Rodrigues parameters and 3D rotation matrices
نظریہ گراف
[ترمیم]- Euler characteristic (formerly called Euler number) in algebraic topology and topological graph theory, and the corresponding Euler's formula
- Eulerian circuit, Euler cycle or عائلرین گراف – a path through a graph that takes each edge once
- Eulerian graph has all its vertices spanned by an Eulerian path
- Euler class
- Euler diagram – likely better (but wrongly) known as Venn diagrams, its subclass
- Euler tour technique
موسیقی
[ترمیم]نظریہ اعداد
[ترمیم]- 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 نظریۂ عدد, counting the number of coprime integers less than an integer.
طبیعاتی نظام
[ترمیم]- Euler's Disk – a toy consisting of a circular disk that spins, without slipping, on a surface
- Euler equations in سيالی حرکيات.
- Euler's equations , concerning the rotations of a rigid body.
- Euler number (physics), the cavitation number in سيالی حرکيات.
- 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
کثیر رقمی
[ترمیم]- Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
- Euler polynomials
- Euler spline – composed of classical Euler polynomial arcs