Search results
Results from the WOW.Com Content Network
Original file (1,243 × 1,843 pixels, file size: 38.32 MB, MIME type: application/pdf, 748 pages) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
Euler's Tonnetz. The Tonnetz originally appeared in Leonhard Euler's 1739 Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae.Euler's Tonnetz, pictured at left, shows the triadic relationships of the perfect fifth and the major third: at the top of the image is the note F, and to the left underneath is C (a perfect fifth above F), and to the right is A (a ...
The Euler characteristic χ was classically defined for the surfaces of polyhedra, according to the formula = + where V, E, and F are respectively the numbers of vertices (corners), edges and faces in the given polyhedron. Any convex polyhedron's surface has Euler characteristic
Opera Omnia Leonhard Euler (Leonhardi Euleri Opera omnia) is the compilation of Leonhard Euler's scientific writings. The project of this compilation was undertaken by the Euler Committee of the Swiss Academy of Sciences , established in 1908, and is ongoing as of September 2022 [update] .
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. [ 1 ] They can also represent the orientation of a mobile frame of reference in physics or the orientation of a general basis in three dimensional linear algebra .
Epicurus was not an atheist, although he rejected the idea of a god concerned with human affairs; followers of Epicureanism denied the idea that there was no god. While the conception of a supreme, happy and blessed god was the most popular during his time, Epicurus rejected such a notion, as he considered it too heavy a burden for a god to have to worry about all the problems in the world.
Microsoft Word - Illustration of Euler.doc; Date and time of digitizing: 15:20, 21 September 2008: Software used: PScript5.dll Version 5.2: File change date and time: 15:20, 21 September 2008: Conversion program: Acrobat Distiller 6.0 (Windows) Encrypted: no: Page size: 612 x 792 pts (letter) Version of PDF format: 1.4
Euler's formula can also be used to define the basic trigonometric function directly, as follows, using the language of topological groups. [23] The set U {\displaystyle U} of complex numbers of unit modulus is a compact and connected topological group, which has a neighborhood of the identity that is homeomorphic to the real line.