لیونہارڈ اویلر سے منسوب اشیاء کی فہرست
اس مضمون میں ویکیپیڈیا کے معیار کے مطابق صفائی کی ضرورت ہے، (جانیں کہ اس سانچہ پیغام کو کیسے اور کب ختم کیا جائے) |
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
تفصیلی مضمون کے لیے Euler's laws ملاحظہ کریں۔- 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
ترمیمنظریہ 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