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The One Ring, also called the Ruling Ring and Isildur's Bane, is a central plot element in J. R. R. Tolkien's The Lord of the Rings (1954–55). It first appeared in the earlier story The Hobbit (1937) as a magic ring that grants the wearer invisibility. Tolkien changed it into a malevolent Ring of Power and re-wrote parts of The Hobbit to fit in with the expanded narrative. The Lord of the Rings describes the hobbit Frodo Baggins's quest to destroy the Ring. Scholars have compared the story with the ring-based plot of Richard Wagner's opera cycle Der Ring des Nibelungen; Tolkien denied any connection, but at the least, both men drew on the same mythology. Another source is Tolkien's analysis of Nodens, an obscure pagan god with a temple at Lydney Park, where he studied the Latin inscriptions, one containing a curse on the thief of a ring. Tolkien rejected the idea that the story was an allegory, saying that applicability to situations such as the Second World War and the atomic bomb was a matter for readers. Other parallels have been drawn with the Ring of Gyges in Plato's Republic, which conferred invisibility, though there is no suggestion that Tolkien borrowed from the story. The One Ring was forged by the Dark Lord Sauron during the Second Age to gain dominion over the free peoples of Middle-earth. In disguise as Annatar, or "Lord of Gifts", he aided the Elven smiths of Eregion and their leader Celebrimbor in the making of the Rings of Power. He then secretly forged the One Ring in the fires of Mount Doom. Sauron intended it to be the most powerful of all Rings, able to rule and control those who wore the others. Since the other Rings were powerful on their own, Sauron was obliged to place much of his own power into the One to achieve his purpose. Creating the Ring simultaneously strengthened and weakened Sauron. With the Ring, he could control the power of all the other Rings, and thus he was significantly more powerful after its creation than before; but by binding his power within the Ring, Sauron became dependent on it.

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Multiquadratic Rings and Walsh-Hadamard Transforms for Oblivious Linear Function Evaluation

Juan Ramón Troncoso-Pastoriza

The Ring Learning with Errors (RLWE) problem has become one of the most widely used cryptographic assumptions for the construction of modern cryptographic primitives. Most of these solutions make use of power-of-two cyclotomic rings mainly due to its simpl ...

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Mode localization transition in ferromagnetic microscopic rings

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We present a combined experimental, computational, and semianalytical study of the magnetization dynamics of permalloy disks and nanostructured rings with a systematically varied ring width. We investigate the dynamics of the quasisaturated state. In the c ...

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Analysis of the brittle fragmentation of an expanding ring

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The current research extends our previous work on brittle fragmentation of a one-dimensional bar [F. Zhou, J.-F. Molinari, K.T. Ramesh, A cohesive-model based fragmentation analysis: effects of strain rate and initial defects distribution, International Jo ...

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Black Speech

The Black Speech is one of the fictional languages constructed by J. R. R. Tolkien for his legendarium, where it was spoken in the evil realm of Mordor. In the fiction, Tolkien describes the language as created by Sauron as a constructed language to be the sole language of all the servants of Mordor. Little is known of the Black Speech except the inscription on the One Ring. Scholars note that Tolkien constructed this to be plausible linguistically, and to sound rough and harsh.

Gollum

Gollum is a fictional character in J. R. R. Tolkien's Middle-earth legendarium. He was introduced in the 1937 fantasy novel The Hobbit, and became important in its sequel, The Lord of the Rings. Gollum was a Stoor Hobbit of the River-folk who lived near the Gladden Fields. In The Lord of the Rings it is stated that he was originally known as Sméagol, corrupted by the One Ring, and later named Gollum after his habit of making "a horrible swallowing noise in his throat".

Middle-earth

Middle-earth is the setting of much of the English writer J. R. R. Tolkien's fantasy. The term is equivalent to the Miðgarðr of Norse mythology and Middangeard in Old English works, including Beowulf. Middle-earth is the human-inhabited world, that is, the central continent of the Earth, in Tolkien's imagined mythological past. Tolkien's most widely read works, The Hobbit and The Lord of the Rings, are set entirely in Middle-earth.