لیونہارڈ اویلر سے منسوب اشیاء کی فہرست

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
*Euler's conjecture (Waring's problem) 
*Euler's sum of powers conjecture 
(Also see Euler's conjecture.)

## اویلر کی مساوات
*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
*Euler's formula  in complex analysis.
*Euler's formula for planar graphs or polyhedra: 
*Euler's formula for the critical load of a column: P_\text{cr}=\frac{\pi^2 EI}{(KL)^2}
*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
*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
*اویلر شناخت . 
*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
*E (ریاضیاتی دائم), , 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  where  is a complex cube root of 1.

## اویلر کے قضیہ
*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  whenever  is coprime to , and  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

*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
*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
### 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
** Semi-implicit Euler method
*E (ریاضیاتی دائم) , 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 

### ہندسہ اور فضائی ترتیب
*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
*Euler characteristic (formerly called Euler number) in algebraic topology and topological graph theory, and the corresponding Euler's formula \scriptstyle \chi(S^2)=F-E+V=2
* 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
*Euler–Fokker genus

### نظریہ اعداد
*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
*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
*Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
*Euler polynomials
*Euler spline – composed of classical Euler polynomial arcs