Euler's identity
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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
Euler's formula — This article is about Euler s formula in complex analysis. For Euler s formula in algebraic topology and polyhedral combinatorics see Euler characteristic. Part of a series of articles on The mathematical constant e … Wikipedia
Euler-Dreieck — Euler Zahlen als Koeffizienten von Euler Polynomen Die nach Leonhard Euler benannte Euler Zahl An,k in der Kombinatorik, auch geschrieben als E(n,k) oder , gibt die Anzahl der Permutationen (Anordnungen) von 1, …, n an, in denen genau k Elemente… … Deutsch Wikipedia
Euler's continued fraction formula — In the analytic theory of continued fractions, Euler s continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction. First published in 1748, it was at first regarded as a simple… … Wikipedia
Euler's four-square identity — In mathematics, Euler s four square identity says that the product of two numbers, each of which being a sum of four squares, is itself a sum of four squares. Specifically::(a 1^2+a 2^2+a 3^2+a 4^2)(b 1^2+b 2^2+b 3^2+b 4^2)=,::(a 1 b 1 a 2 b 2 a… … Wikipedia
Euler angles — The Euler angles were developed by Leonhard Euler to describe the orientation of a rigid body (a body in which the relative position of all its points is constant) in 3 dimensional Euclidean space. To give an object a specific orientation it may… … Wikipedia
Euler function — For other meanings, see List of topics named after Leonhard Euler .In mathematics, the Euler function is given by:phi(q)=prod {k=1}^infty (1 q^k).Named after Leonhard Euler, it is a prototypical example of a q series, a modular form, and provides … Wikipedia
Euler's equations (rigid body dynamics) — This page discusses rigid body dynamics. For other uses, see Euler function (disambiguation). In physics, Euler s equations describe the rotation of a rigid body in a frame of reference fixed in the rotating body:egin{matrix}I 1dot{omega} {1}+(I … Wikipedia
Euler, Leonhard — born April 15, 1707, Basel, Switz. died Sept. 18, 1783, St. Petersburg, Russia Swiss mathematician. In 1733 he succeeded Daniel Bernoulli (see Bernoulli family) at the St. Petersburg Academy of Sciences. There he developed the theory of… … Universalium
Euler-Zahlen — Die nach Leonhard Euler benannte Euler Zahl An,k in der Kombinatorik, auch geschrieben als E(n,k) oder , ist die Anzahl der Permutationen (Anordnungen) von 1, …, n, in denen genau k Elemente größer als das vorhergehende sind, die also genau k… … Deutsch Wikipedia
