Trivium is a debut EP by the American metal band Trivium. It was released in early 2003. All tracks were re-recorded for the band's first full-length album, Ember to Inferno, except for "The Storm", "Sworn", and "Demon", the latter of which was included on the album's first re-release in its original form.
The Trivium is a systematic method of critical thinking used to derive factual certainty from information perceived with the traditional five senses: sight, sound, taste, touch, and smell. In the medieval university, the trivium was the lower division of the seven liberal arts, and comprised grammar, logic, and rhetoric (input, process, and output).
Etymologically, the Latin word trivium means "the place where three roads meet" (tri + via); hence, the subjects of the trivium are the foundation for the quadrivium, the upper division of the medieval education in the liberal arts, which comprised arithmetic (number), geometry (number in space), music (number in time), and astronomy (number in space and time). Educationally, the trivium and the quadrivium imparted to the student the seven liberal arts of classical antiquity.
The trivium is implicit in the De nuptiis Philologiae et Mercurii ("On the Marriage of Philology and Mercury"), by Martianus Capella, although the term was not used until the Carolingian Renaissance, when the term was coined, in imitation of the earlier quadrivium. Grammar, logic, and rhetoric were essential to a classical education, as explained in Plato's dialogues. Together, the three subjects were included to and denoted by the word "trivium" during the Middle Ages, but the tradition of first learning those three subjects was established in ancient Greece. Contemporary iterations have taken various forms, including those found in certain British and American universities (some being part of the Classical education movement) and at the independent Oundle School, in the United Kingdom.
Trivia may mean
Trivia may also refer to:
Trivial (adjective) may refer to:
Trivium (an obsolete singular form of Trivia) may refer to:
Trivium is a synchronous stream cipher designed to provide a flexible trade-off between speed and gate count in hardware, and reasonably efficient software implementation.
Trivium was submitted to the Profile II (hardware) of the eSTREAM competition by its authors, Christophe De Cannière and Bart Preneel, and has been selected as part of the portfolio for low area hardware ciphers (Profile 2) by the eSTREAM project. It is not patented and has been specified as an International Standard under ISO/IEC 29192-3.
It generates up to 264bits of output from an 80-bit key and an 80-bit IV. It is the simplest eSTREAM entrant; while it shows remarkable resistance to cryptanalysis for its simplicity and performance, recent attacks leave the security margin looking rather slim.
Trivium's 288-bit internal state consists of three shift registers of different lengths. At each round, a bit is shifted into each of the three shift registers using a non-linear combination of taps from that and one other register; one bit of output is produced. To initialize the cipher, the key and IV are written into two of the shift registers, with the remaining bits starting in a fixed pattern; the cipher state is then updated 4 × 288 = 1152 times, so that every bit of the internal state depends on every bit of the key and of the IV in a complex nonlinear way.