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  2. Genus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Genus_(mathematics)

    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.

  3. Genus g surface - Wikipedia

    en.wikipedia.org/wiki/Genus_g_surface

    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 ...

  4. Glossary of number theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_number_theory

    Euler's theorem Euler's theorem states that if n and a are coprime positive integers, then a φ(n) is congruent to 1 mod n. Euler's theorem generalizes Fermat's little theorem. Euler's totient function For a positive integer n, Euler's totient function of n, denoted φ(n), is the number of integers coprime to n between 1 and n inclusive.

  5. Comparison of English dictionaries - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_English...

    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 ...

  6. List of online dictionaries - Wikipedia

    en.wikipedia.org/wiki/List_of_online_dictionaries

    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

  7. Euler diagram - Wikipedia

    en.wikipedia.org/wiki/Euler_diagram

    For example, connectedness of zones might be enforced, or concurrency of curves or multiple points might be banned, as might tangential intersection of curves. In the adjacent diagram, examples of small Venn diagrams are transformed into Euler diagrams by sequences of transformations; some of the intermediate diagrams have concurrency of curves.

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  9. File:Opera Omnia Euler.I.1..ocr.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Opera_Omnia_Euler.I.1...

    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.