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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 ...
This is a comparison of English dictionaries, which are dictionaries about the language of English.The dictionaries listed here are categorized into "full-size" dictionaries (which extensively cover the language, and are targeted to native speakers), "collegiate" (which are smaller, and often contain other biographical or geographical information useful to college students), and "learner's ...
The 18th-century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field. His seminal work had a profound impact in numerous areas of mathematics and he is widely credited for introducing and popularizing modern notation and terminology.
While Euler's identity is a direct result of Euler's formula, published in his monumental work of mathematical analysis in 1748, Introductio in analysin infinitorum, [16] it is questionable whether the particular concept of linking five fundamental constants in a compact form can be attributed to Euler himself, as he may never have expressed it.
LexSite non-collaborative English-Russian dictionary with contextual phrases; Linguee collaborative dictionary and contextual sentences; Madura English-Sinhala Dictionary free English to Sinhala and vice versa; Multitran multilingual online dictionary centered on Russian, and provides an opportunity of adding own translation
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 mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of ...
He is known for his work in mathematical analysis and topology, and in particular the generalization of Euler's formula for planar graphs. [ 1 ] He won the mathematics section prize of the Berlin Academy of Sciences for 1784 in response to a question on the foundations of the calculus .