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 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: $P_{\text{cr}}={\frac {\pi ^{2}EI}{(KL)^{2}}}$
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 شناخت $e i π + 1 = 0$ .
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.

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.

===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) $e \approx 2.71828$ , 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 $γ \approx 0.577216$

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

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.

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