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There are a number of useful properties of the Legendre symbol which, together with the law of quadratic reciprocity, can be used to compute it efficiently. Given a generator g ∈ F p ∗ {\displaystyle g\in \mathbb {F} _{p}^{*}} , if x = g r {\displaystyle x=g^{r}} , then x {\displaystyle x} is a quadratic residue if and only if r ...
In mathematics, Legendre polynomials, named after Adrien-Marie Legendre (1782), are a system of complete and orthogonal polynomials with a wide number of mathematical properties and numerous applications. They can be defined in many ways, and the various definitions highlight different aspects as well as suggest generalizations and connections ...
Legend Natural Gas is an independent oil and gas company headquartered in the Houston area. Legend Production Holdings LLC, is focused on acquiring and developing long-lived oil and natural gas properties primarily in prolific basins around Texas, including areas of South Texas, the Fort Worth Basin (Barnett Shale) and the Permian Basin.
In mathematics, the associated Legendre polynomials are the canonical solutions of the general Legendre equation () + [(+)] =,or equivalently [() ()] + [(+)] =,where the indices ℓ and m (which are integers) are referred to as the degree and order of the associated Legendre polynomial respectively.
Some legends claim Joyeuse was forged to contain the Lance of Longinus within its pommel; others say the blade was smithed from the same materials as Roland's Durendal and Ogier's Curtana. Merveilleuse, the hero's sword in Doon de Mayence. It was so sharp that when placed edge downwards it would cut through a slab of wood without the use of force.
Name Source Properties Akiva SCP Foundation: Radiation linked to prayer and divine intervention.A place with high levels of Akiva radiation has been visited or touched by a god, while a place with low Akiva radiation may be considered forgotten or forsaken by the gods.
The Legend of Zelda games feature many magic swords, the most famous of which is the Master Sword, the legendary Blade of Evil's Bane that has appeared in most of the games in the series since its first appearance in The Legend of Zelda: A Link to the Past. The Master Sword was forged by the gods and possesses many mystical abilities such as ...
A legend is a genre of folklore ... in the Philippines is believed to be haunted by all those who were murdered and raped by the Japanese army within the property ...