Euler's Equation

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• Euler–Lagrange equation — In calculus of variations, the Euler–Lagrange equation, or Lagrange s equation is a differential equation whose solutions are the functions for which a given functional is stationary. It was developed by Swiss mathematician Leonhard Euler and… …   Wikipedia

• Euler-Tricomi equation — In mathematics, the Euler Tricomi equation is a linear partial differential equation useful in the study of transonic flow. It is named for Leonhard Euler and Francesco Giacomo Tricomi.: displaystyleu {xx}=xu {yy}.It is hyperbolic in the half… …   Wikipedia

• Euler's equation of degree four — is a mathematical problem proposed by Leonhard Euler in 1772. [ [http://www.upi.com/NewsTrack/Science/2008/03/19/eulers equation of degree four solved/8804/ Euler s equation of degree four solved UPI.com ] ] The problem, which deals with number… …   Wikipedia

• euler's equation — noun Usage: usually capitalized E 1. : an equation in alternating current theory: eix=cos x+i sin x 2. : any of several differential equations of dynamics …   Useful english dictionary

• Euler-Bernoulli beam equation — Euler Bernoulli beam theory, or just beam theory, is a simplification of the linear theory of elasticity which provides a means of calculating the load carrying and deflection characteristics of beams. It was first enunciated circa 1750, but was… …   Wikipedia

• Euler's sum of powers conjecture — Euler s conjecture is a disproved conjecture in mathematics related to Fermat s last theorem which was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n k th powers of positive integers is …   Wikipedia

• Equation fonctionnelle — Équation fonctionnelle En mathématiques, une équation fonctionnelle est une équation dont les inconnues sont des fonctions. De nombreuses propriétés de fonctions peuvent être déterminées en étudiant quelles équations elles satisfont. D habitude,… …   Wikipédia en Français

• Euler equations (fluid dynamics) — In fluid dynamics, the Euler equations govern inviscid flow. They correspond to the Navier Stokes equations with zero viscosity and heat conduction terms. They are usually written in the conservation form shown below to emphasize that they… …   Wikipedia

• Euler's identity — [ 300px|thumb|right|The exponential function e z can be defined as the limit of nowrap|(1 + z / N ) N , as N approaches infinity, and thus e iπ is the limit of nowrap|(1 + iπ/N ) N . In this animation N takes various increasing values from 1 to… …   Wikipedia

• Équation d'Euler — Équations d Euler L équation d Euler (établie par Euler en 1755) s applique dans le cas d un fluide parfait, c’est à dire un fluide non visqueux et sans conductivité thermique. Le fluide peut être incompressible ou compressible. Complétée par d… …   Wikipédia en Français

• Euler's theorem (differential geometry) — In the mathematical field of differential geometry, Euler s theorem is a result on the curvature of curves on a surface. The theorem establishes the existence of principal curvatures and associated principal directions which give the directions… …   Wikipedia