In measure theory, the Eulermeasure of a polyhedral set equals the Euler integral of its indicator function. By induction, it is easy to show that independent...
mathematician Leonhard Euler (1707–1783), who made many important discoveries and innovations. Many of these items named after Euler include their own unique...
The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system. They...
algebraic topology, the Euler class is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how "twisted" the...
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined...
}t^{z-1}e^{-t}\,dt} converges absolutely, and is known as the Euler integral of the second kind. (Euler's integral of the first kind is the beta function.) Using...
as by Christian Weise in 1712 (Nucleus Logicoe Wiesianoe) and Leonhard Euler (Letters to a German Princess) in 1768. The idea was popularised by Venn...
The volume of an n-ball can be calculated in terms of Euler's gamma function. The Lebesgue measure on Rn has the following properties: If A is a cartesian...
In mathematics, Hausdorff measure is a generalization of the traditional notions of area and volume to non-integer dimensions, specifically fractals and...
general theory of integration of a function with respect to a general measure, as introduced by Lebesgue, or the specific case of integration of a function...
naturalness as a unit of angular measure. In 1765, Leonhard Euler implicitly adopted the radian as a unit of angle. Specifically, Euler defined angular velocity...
114–115. Euler (2022), pp. 78–107 Euler (2022), p. 85 Ringe (2014), p. 115 Ringe (2014), p. 114 Euler (2022), p. 81 Euler (2022), p. 78 Euler (2022), p...
In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral...
definable functions by integrating with respect to the Euler characteristic as a finitely-additive measure. In the presence of a metric, it can be extended...
2002 Euler is a stony background asteroid from the inner regions of the asteroid belt, approximately 17 kilometers (11 miles) in diameter. It was discovered...
James (2002). "Eulermeasure as generalized cardinality". arXiv:math.CO/0203289. Propp, James (October 2003). "Exponentiation and Eulermeasure". Algebra Universalis...
formula is known as an Euler relation, because Euler's theorem on homogeneous functions leads to it. (It was not discovered by Euler in an investigation...
eigenvalues of the stress tensor, which are called the principal stresses. The Euler–Cauchy stress principle states that upon any surface (real or imaginary)...
generally oscillatory integrals. An example, which comes from a solution of the Euler–Tricomi equation of transonic gas dynamics, is the rescaled Airy function...
The magnitude of an angle is called an angular measure or simply "angle". Angle of rotation is a measure conventionally defined as the ratio of a circular...
as a change in the second Euler angle. If it is not caused by forces external to the body, it is called free nutation or Euler nutation. A pure nutation...
mathematician Euler in 1760. Around 1782 potter Josiah Wedgwood invented a different type of pyrometer (or rather a pyrometric device) to measure the temperature...
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