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A polynomial equation is solvable by radicals if its Galois group is a solvable group. In the case of irreducible quintics, the Galois group is a subgroup of the symmetric group S 5 of all permutations of a five element set, which is solvable if and only if it is a subgroup of the group F 5 , of order 20 , generated by the cyclic permutations ...
Ars Memoriæ, by Robert Fludd Ars Notoria, the first figure of logic/dialectic used as part of the art of memory. The early Christian monks adapted techniques common in the art of memory as an art of composition and meditation, which was in keeping with the rhetorical and dialectical context in which it was originally taught. It became the ...
the multiplicative order, that is, the number of times the polynomial is divisible by some value; the order of the polynomial considered as a power series, that is, the degree of its non-zero term of lowest degree; or; the order of a spline, either the degree+1 of the polynomials defining the spline or the number of knot points used to ...
The order polynomial counts the number of order-preserving maps from a poset to a chain of length . These order-preserving maps were first introduced by Richard P. Stanley while studying ordered structures and partitions as a Ph.D. student at Harvard University in 1971 under the guidance of Gian-Carlo Rota.
Ars Magica is a role-playing game set in 'Mythic Europe' – a historically grounded version of Europe and the Levant around AD 1200, with the added conceit that conceptions of the world prevalent in folklore and institutions of the High Middle Ages are factual reality (a situation known informally as the "medieval paradigm").
The Ars Notoria (in English: Notory Art) is a 13th-century Latin textbook of magic (now retroactively called a grimoire) from northern Italy. It claims to grant its practitioner an enhancement of their mental faculties, the ability to communicate with angels, and earthly and heavenly knowledge through ritual magic .
The casting of spells within Dungeons & Dragons often requires the mage to do, say, or use something in order for the spell to work. Spells may require a verbal, somatic, or material component or a magical focus. These actions are performed by the fictional character in the game, not by the player in the real world.
The Bornless Ritual is deeply rooted in ancient texts and traditions, drawing from Graeco-Egyptian magical practices. One of the primary sources for the ritual is the Greek Magical Papyri (Papyri Graecae Magicae), a collection of ancient spells, invocations, and hymns compiled between the 2nd century BCE and the 5th century CE.