| Expressions |
Definition |
| AMS Euler |
AMS Euler is a upright cursive typeface, commissioned by the American Mathematical Society and designed and created by Hermann Zapf with the assistance of Donald Knuth. It has been trying to emulate a mathematician's style of handwriting mathematical entities on a blackboard, which is upright rather than italic. It blends very well with other typefaces made by Hermann Zapf, such as Palatino, Aldus and Melior, but very badly with the default TeX font Computer Modern. (references) |
| Carl Euler |
Carl Hieronymus Euler (1834 - 1901) was a Swiss farmer and amateur ornithologist. (references) |
| Conversion between quaternions and Euler angles |
Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of quaternions was first presented by Euler some seventy years earlier than Hamilton to solve the problem of magic squares. For this reason the dynamics community commonly refers to quaternions in this application as Euler parameters. (references) |
| Euler (crater) |
Euler is a lunar impact crater located in the southern half of the Mare Imbrium. The most notable nearby feature is Mons Vinogradov to the west-southwest. There is a cluster of low ridges to the southwest, and this formation includes the small Natasha crater and the tiny Jehan crater. About 200 kilometers to the east-northeast is the comparably-sized Lambert crater. (references) |
| Euler angles |
Euler angles are the classical way of representing rotations in 3-dimensional Euclidean space, named after Leonhard Euler. (references) |
| Euler approximation |
The Euler approximation is a numerical method of solving differential equations, mostly useful when the solution to a differential equation cannot be found analytically. Euler approximations are found using a recursive formula that uses slope information, given by the derivative, to approximate a value on a solution close to an initial point. (references) |
| Euler boolean operation |
In constructive solid geometry, a Euler boolean operation is a series of modifications to solid modelling which preserves the Euler characteristic in the boundary representation at every stage. One or more of these Euler boolean operations is stored in a change state, so as to only represent models which are physically realizable. (references) |
| Euler brick |
In mathematics, an Euler Brick, named after the famous mathematician Leonhard Euler, is a cuboid with integer edges and also integer face diagonals. (references) |
| Euler class |
In mathematics, specifically in algebraic topology, the Euler class is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how "twisted" the vector bundle is. In the case of a tangent bundle of a smooth manifold, it generalizes the classical notion of Euler characteristic. (references) |
| Euler diagram |
Thus, a Venn diagram containing the attributes for Animal, Mineral and FourLegs would have to contain intersections where something was both animal and mineral and had legs. A Venn diagram therefore, shows all possible combinations of conjunctions. (references) |
| Euler function (disambiguation) |
In mathematics, Euler function may refer to several unrelated or loosely related functions, all named after Leonhard Euler. Some of these functions are also involved in a formula, often (ambiguously) called Euler's formula. (references) |
| Euler integration |
In mathematics and computational science, Euler integration is the most basic kind of numerical integration for calculating trajectories from forces at discrete timesteps. (references) |
| Euler Medal |
The Euler Medal is an honor awarded annually to the person(s) with a distinguished lifetime career contribution to combinatorial research by a Fellow of the ICA (the Institute of Combinatorics and its Applications) who is still active in research. (references) |
| Euler prime |
In number theory, Euler primes or symmetric primes are primes that are the same distance from a given number. For example 3 and 13 are both 5 units from the number 8, hence are symmetric primes. All twin primes, cousin primes, and sexy primes are symmetric primes. (references) |
| Euler product |
In mathematics, an Euler product is an infinite product expansion, indexed by prime numbers p, of a Dirichlet series. The name arose from the case of the Riemann zeta function, where such a product representation was proved by Euler. (references) |
| Euler programming language |
Euler is a programming language created by Niklaus Wirth and Helmut Weber, conceived as an extension and generalization of ALGOL 60. (references) |
| Euler system |
In mathematics, an Euler system is a technical device in the theory of Galois modules, first noticed as such in the work around 1990 by Victor Kolyvagin on Heegner points on modular elliptic curves. This concept has since undergone an axiomatic development, in particular by Barry Mazur and Karl Rubin. (references) |
| Leonhard Euler |
Swiss mathematician (1707-1783). Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved. |
| Relativistic Euler equations |
In fluid mechanics and astrophysics, the relativistic Euler equations are a generalization of the Euler equations that account for the effects of special relativity. (references) |
| Ulf von Euler |
Ulf Svante von Euler (b. February 7, 1905, Stockholm, Sweden; d. March 9, 1983) was a Swedish physiologist and pharmacologist. He won a Nobel Prize in Medicine and Physiology in 1970 for his work on neurotransmitters. (references) |
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Source: compiled by the editor from various references; see credits.
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