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Hesiod's Theogony, (c. 700 BCE) which could be considered the "standard" creation myth of Greek mythology, [1] tells the story of the genesis of the gods. After invoking the Muses (II.1–116), Hesiod says the world began with the spontaneous generation of four beings: first arose Chaos (Chasm); then came Gaia (the Earth), "the ever-sure foundation of all"; "dim" Tartarus (the Underworld), in ...
Bear god / goddess; A132.9. Cattle god / goddess; A161.2. King of the Gods; A177.1. Gods as Dupe or Tricksters; A192. Death or departure of the gods; A193. Gods of Dying-and-rising; A200—A299. Gods of the Upper World A210. Gods of the Sky; A220. Gods of the Sun; A240. Gods of the Moon; A250. Gods of the Stars; A260. Gods of Light; A270. Gods ...
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.
Euler's use of power series enabled him to solve the Basel problem, finding the sum of the reciprocals of squares of every natural number, in 1735 (he provided a more elaborate argument in 1741). The Basel problem was originally posed by Pietro Mengoli in 1644, and by the 1730s was a famous open problem, popularized by Jacob Bernoulli and ...
Euler invented the calculus of variations including its most well-known result, the Euler–Lagrange equation. Euler also pioneered the use of analytic methods to solve number theory problems. In doing so, he united two disparate branches of mathematics and introduced a new field of study, analytic number theory.
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.
This is an accepted version of this page This is the latest accepted revision, reviewed on 13 January 2025. This is a list of notable offspring of a deity with a mortal, in mythology and modern fiction. Such entities are sometimes referred to as demigods, although the term "demigod" can also refer to a minor deity, or great mortal hero with god-like valour and skills, who sometimes attains ...
This leads to the second usage of the word divine (and less common usage of divinity): to refer to the operation of transcendent power in the world. In its most direct form, the operation of transcendent power implies some form of divine intervention. For monotheistic and polytheistic faiths this usually implies the direct action of one god or ...