Search results
Results from the WOW.Com Content Network
The non-orientable genus, demigenus, or Euler genus of a connected, non-orientable closed surface is a positive integer representing the number of cross-caps attached to a sphere. Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ, via the relationship χ = 2 − k , where k is the non-orientable genus.
The genus (sometimes called the demigenus or Euler genus) of a connected non-orientable closed surface is a positive integer representing the number of cross-caps attached to a sphere. Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ, via the relationship χ = 2 − g, where g is the non-orientable ...
Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər; [b] German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] ⓘ, Swiss Standard German: [ˈleɔnhard ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer.
Euler's great interest in number theory can be traced to the influence of his friend in the St. Peterburg Academy, Christian Goldbach. A lot of his early work on number theory was based on the works of Pierre de Fermat, and developed some of Fermat's ideas. One focus of Euler's work was to link the nature of prime distribution with ideas in ...
An online dictionary is a dictionary that is accessible via the Internet through a web browser.They can be made available in a number of ways: free, free with a paid subscription for extended or more professional content, or a paid-only service.
Rigor in this case meant the rejection of the principle of Generality of algebra (of earlier authors such as Euler and Lagrange) and its replacement by geometry and infinitesimals. [20] Judith Grabiner wrote Cauchy was "the man who taught rigorous analysis to all of Europe". [ 21 ]
Original – Leonhard Euler, 1753 Reason Leonhard Euler, very prominent mathematician. For details see the lead section of his article and . Edited image (removed minor bright spots). On a sidenote: , Articles in which this image appears Leonhard Euler, History of mathematics, List of things named after Leonhard Euler FP category for this image
It is a sister site to The Free Dictionary and usage examples in the form of "references in classic literature" taken from the site's collection are used on The Free Dictionary 's definition pages. In addition, double-clicking on a word in the site's collection of reference materials brings up the word's definition on The Free Dictionary.