Nicomachus also gives the first in depth account of the relationship between music and the ordering of the universe via the " music of the spheres.

On the right Nicomachus ' example with numbers 49 and 21 resulting in their GCD of 7 ( derived from Heath 1908: 300 ).

As the threat of war between Arbogast and Eugenius and Theodosius I became more imminent, Arbogast and Eugenius moved their collective force towards the defenses of the Julian Alps, where they made camp in Milan and were joined by Nicomachus Flavianus, who had consulted the Pagan entrails and proclaimed a future victory for the Pagan cause under the names of Eugenius and Arbogastes.

At the time, it was known as the Year of the Consulship of Nicomachus without colleague ( or, less frequently, year 1257 Ab urbe condita ).

The work, which plays a pre-eminent role in defining Aristotelian ethics, consists of ten books, originally separate scrolls, and is understood to be based on notes from his lectures at the Lyceum, which were either edited by or dedicated to Aristotle's son, Nicomachus.

Little is known about the life of Nicomachus except that he was a Pythagorean and that he came from Gerasa.

There is an extant work sometimes attributed to Iamblichus under this title written two centuries later which contains a great deal of material thought to have been copied or paraphrased from Nicomachus ' work.

* Nicomachus ' " Introduction to Arithmetic " from the Million Books Project ( Greek )

Seven manuscripts of the first decade of Livy's extensive work ( books 1-10 ) bear subscriptions including Symmachus ' name along with Tascius Victorianus, Appius Nicomachus Dexter, and Nicomachus Flavianus ; J. E. G.

His discovery of the 6th, that corresponding to p = 17 in the formula M < sub > p </ sub >= 2 < sup > p </ sup >- 1, exploded a many-times repeated number-theoretical myth ( Until Cataldi, 19 authors going back to Nicomachus are reported to have made the claim in L. E. Dickson's History of the Theory of Numbers — with a few more repeating this afterward ) that the perfect numbers had units digits that invariably alternated between 6 and 8 ; and that of the 7th ( for p = 19 ) held the record for the largest known prime for almost two centuries, until Leonhard Euler discovered that 2 < sup > 31 </ sup >-1 was the eighth Mersenne prime.

While Nicomachus ' algorithm is the same as Euclid's, when the numbers are prime to one another it yields the number " 1 " for their common measure.

So to be precise the following is really Nicomachus ' algorithm.

The system used in the west today, dividing instruments into wind, strings, and percussion, is of Greek origin ( in the Hellenistic period, prominent proponents being Nicomachus and Porphyry ).

* The Emperor Tacitus is acclaimed by the Senate, meeting in the ' Curia Pompiliana ' ( no such building ) and after orations by the consul ' Velius Cornificius Gordianus ' ( no such person ) and ' Maecius Faltonius Nicomachus ' ( ditto: most of the ' Maecii ' in the HA are invented ), he goes to the Campus Martius and is presented to the troops by the Prefect of the City ' Aelius Cesettianus ' ( no such person ) and the Praetorian Prefect ' Moesius Gallicanus ' ( ditto: the HA has several invented ' Gallicani ').

Nicomachus (; c. 60 – c. 120 AD ) was an important mathematician in the ancient world and is best known for his works Introduction to Arithmetic ( Arithmetike eisagoge ) and Manual of Harmonics in Greek.

* On Egyptian festivals (), is mentioned by Athenaeus, but whether by this Nicomachus is uncertain.

Since it was by no means certain that Cleophon could be convicted of this, the commissioner for the publication of the Athenian laws, Nicomachus, was persuaded by bribery or partisanship to exhibit a " law " allowing the oligarch-dominated Boule to oversee Cleophon's trial by lot-chosen jury.

Eventually the influences of both Arbogast and Eugenius, along with the reappointment of Nicomachus Flavianus as the Praetorian Prefect of Italy, led to the full, and last, revival of paganism as Eugenius, albeit reluctantly due to his diminishing, yet still present Christian roots, allowed for the Altar of Victory and other pagan symbols in Italy to be restored.

His Manual of Harmonics was addressed to a lady of noble birth, at whose request Nicomachus wrote the book, which suggests that he was a respected scholar of some status.

Symmachus, and his real-life associates Vettius Agorius Praetextatus and Virius Nicomachus Flavianus are the main characters of the Saturnalia of Macrobius Ambrosius Theodosius, which was written in the 5th century but set in 384.

According to Aristotle's will, Nicanor was to manage the family affairs until his son, Nicomachus came of age.

Aristotle in his will made him guardian of his children, including Nicomachus with whom he was close.

His father Nicomachus was the personal physician to King Amyntas of Macedon.

While in Athens, his wife Pythias died and Aristotle became involved with Herpyllis of Stageira, who bore him a son whom he named after his father, Nicomachus.

Aristotle's notable students included Aristoxenus, Dicaearchus, Demetrius of Phalerum, Eudemos of Rhodes, Harpalus, Hephaestion, Meno, Mnason of Phocis, Nicomachus, and Theophrastus.

These first four perfect numbers were the only ones known to early Greek mathematics, and the mathematician Nicomachus had noted 8, 128 as early as 100 AD.

* Nicomachus, Greek mathematician ( approx.

* Virius Nicomachus Flavianus, Roman historian and politician ( b. 334 )

* C. 390 – 401 – Priestess of Bacchus: Late Antiquity ivory diptych, documents the relationship of the senators Quintus Aurelius Symmachus and Virius Nicomachus Flavianus.

* Nicomachus Flavianus, Roman grammarian and politician ( d. 432 )

* Virius Nicomachus Flavianus, Roman historian and politician ( d. 394 )

211 or in 220, children of Gaius Asinius Nicomachus ( b. ca.

Virius Nicomachus Flavianus the Elder became Praetorian Prefect of Italy, his son Nicomachus Flavianus the Younger received the title of Prefect of Rome, while the new praefectus annonae was Numerius Proiectus.

Demosthenes mistakenly sailed too early and landed at Siphae, where his plans were betrayed by a Phocian named Nicomachus.

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

For example, per capita GDP gives an approximation of the arithmetic average income of a nation's population.

Stone gives an example of this: when computing the roots of a quadratic equation the computor must know how to take a square root.

He continues his challenge, arguing that there is no reason to believe it is God who gives authority to moral laws – it could be given by the consent of humanity, for example.

Hogarth, for example, thinks that beauty consists of ( 1 ) fitness of the parts to some design ; ( 2 ) variety in as many ways as possible ; ( 3 ) uniformity, regularity or symmetry, which is only beautiful when it helps to preserve the character of fitness ; ( 4 ) simplicity or distinctness, which gives pleasure not in itself, but through its enabling the eye to enjoy variety with ease ; ( 5 ) intricacy, which provides employment for our active energies, leading the eye on " a wanton kind of chase "; and ( 6 ) quantity or magnitude, which draws our attention and produces admiration and awe.

gives the example of Groombridge 1830, where he estimates that the true position is displaced by approximately 3 arcminutes from the direction in which we observe it.

For example, a netshot can force the opponent to lift the shuttlecock, which gives an opportunity to smash.

For example, taking m to be 1 gives the triangular numbers 0, 1, 3, 6, ....

For example, the Factbook gives the land area of Australia as 7, 682, 300 km < sup > 2 </ sup > while Geoscience Australia gives the area as 7, 692, 024 km < sup > 2 </ sup >, a difference of 9, 724 km < sup > 2 </ sup >.

This method gives the HTTP server a convenient way to alter document's encoding according to content negotiation ; certain HTTP server software can do it, for example Apache with the module mod_charset_lite.

For example, use of ( which gives é, Latin lower-case E with acute accent, U + 00E9 in Unicode ) in an XML document will generate an error unless the entity has already been defined.

Michael Parenti gives an example of the use of the term which underscores the conflict in its use.

For example, the properly generous person gives the right amount — not too much and not too little.

Dirk van Dalen ( in Gabbay 2001: 284 ) gives the following example for the sake of illustrating this informal use of the Church – Turing thesis:

For example, the conservation of energy follows from the time-invariance of physical systems, and the fact that physical systems behave the same regardless of how they are oriented in space gives rise to the conservation of angular momentum.

This gives a large number of separate problems ; for example, the original proofs of existence and uniqueness of the monster totaled about 200 pages, and the identification of the Ree groups by Thompson and Bombieri was one of the hardest parts of the classification.

For example, heating (" cracking ") elemental phosphorus gives diphosphorus, P < sub > 2 </ sub >.

In a passage from the Posterior Analytics, he says that we can know the meaning of a made-up name ( he gives the example ' goat stag '), without knowing what he calls the ' essential nature ' of the thing that the name would denote, if there were such a thing.

An authoritative name server is a name server that gives answers that have been configured by an original source, for example, the domain administrator or by dynamic DNS methods, in contrast to answers that were obtained via a regular DNS query to another name server.

Substituting v < sub > 1 </ sub > into the identity and removing common factors gives the numerical example cited above.

For example, if the last player to draw wants three replacements but there are only two cards remaining in the deck, the dealer gives the player the one top card he can give, then shuffles together the bottom card of the deck, the burn card, and the earlier players ' discards ( but not the player's own discards ), and finally deals two more replacements to the last player.

An example of such a law is the State of Preparedness Act which gives the Council of State certain exceptional powers in cases of national emergency.

* If the entire language does not allow side-effects, then any evaluation strategy can be used ; this gives the compiler freedom to reorder or combine the evaluation of expressions in a program ( for example, using deforestation ).