Eöl

Eöl, called the Dark Elf, is a fictional character in J. R. R. Tolkien's Middle-earth legendarium. He is introduced in The Silmarillion as an Elf of Beleriand and is a character existing in some form from the earliest to the latest writings.

Appearances

Eöl, the Dark Elf, was a Sinda and lord of the forest of Nan Elmoth, a fief, north-east of Doriath. Even before he encountered the Dwarves of the Blue Mountains in Eriador, he had close relationships with other Dwarves, whom he met (and learned much forging skills from) along his travel through Middle-earth. When he entered the lands of Beleriand, the Sindar from Doriath recognised Eöl's kinship, and accepted him fairly quickly among the high court of Menegroth, due to his skills.

He was vassal of the High-king of Beleriand, Thingol. Before the wars began he lived in Doriath. When Melian enclosed it with her magic Girdle of Melian to aid its defence he became uneasy and moved to Nan Elmoth outside the Girdle. One of the greatest Elven-smiths of Middle-earth, he forged Anglachel and Anguirel two great, black, magic swords. Made from a meteorite's metal, they can cut all earth-delved iron and have an entrapped sentience. His smithwork rivalled that of the greatest of the Elven-smiths, Fëanor and Celebrimbor, in both fame and fate. One sword, Anglachel, he gave to Thingol as tribute for living in Nan Elmoth and it was eventually used by Túrin to slay Glaurung the dragon. The other sword, Anguirel, he kept for himself. Eöl devised galvorn, a black metal of great strength and malleability, which he fashioned into armour that he wore when he went abroad. He was friend of the Dwarves of Nogrod and Belegost and, until the founding of the realms of the Noldor, all the traffic of goods between the Sindar and Dwarves passed through Nan Elmoth.

Euler–Lagrange equation

In calculus of variations, the Euler–Lagrange equation, Euler's equation, or Lagrange's equation (although the latter name is ambiguous—see disambiguation page), is a second-order partial differential equation whose solutions are the functions for which a given functional is stationary. It was developed by Swiss-Russian mathematician Leonhard Euler and French-Italian mathematician Joseph-Louis Lagrange in the 1750s.

Because a differentiable functional is stationary at its local maxima and minima, the Euler–Lagrange equation is useful for solving optimization problems in which, given some functional, one seeks the function minimizing (or maximizing) it. This is analogous to Fermat's theorem in calculus, stating that at any point where a differentiable function attains a local extremum, its derivative is zero.

In Lagrangian mechanics, because of Hamilton's principle of stationary action, the evolution of a physical system is described by the solutions to the Euler–Lagrange equation for the action of the system. In classical mechanics, it is equivalent to Newton's laws of motion, but it has the advantage that it takes the same form in any system of generalized coordinates, and it is better suited to generalizations. In classical field theory there is an analogous equation to calculate the dynamics of a field.

El

EL, El or el may refer to:

Arts and entertainment

  • Él, 1926 autobiographical novel by Mercedes Pinto
  • Él (film), a 1953 film by Luis Buñuel based on the 1926 novel
  • El, family name of Kal-El (Superman) and his father Jor-El in Superman
  • El (Shugo Chara!), a character from the manga series Shugo Chara! by Peach-Pit
  • EL, street artist Ephrat Livni
  • Él (visual novel), a 2000 Japanese adult visual novel
  • Music

  • Él (record label), an independent record label from the UK founded by Mike Alway
  • EL (rapper) (born 1983), stage name of Elorm Adablah, a Ghanaian rapper and sound engineer
  • Él (Lucero album), a 1982 album by Lucero
  • "Él", Spanish song by Rubén Blades from Caminando
  • "Él" (Lucía song), the Spanish entry in the Eurovision Song Contest 1982, performed by Lucía
  • "Él", 1989 song by José José
  • Abbreviations

    Sports

  • UEFA Europa League, formerly the UEFA Cup, a competition for eligible European football clubs
  • Euroleague Basketball, highest level tier and most important professional club basketball competition in Europe
  • Podcasts:

    PLAYLIST TIME:

    I Will

    by: Prince

    I will walk this road, I will, I will
    It's gonna be hard I know, but I will, I will
    People come and they'll go, but I still, I still
    Face up to the truth and just grow, I will, I will
    I will fight this fight, I will, I will
    I will sleep 2night, I will, I will
    Ive been down before, but I still, I still
    Remember what I came 4, I will, I will
    I will get 2 U, I will, I will
    And then I'll help U get thru, I will, I will
    U've preyed on many a fool, until, until




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