Apollo had a famous oracle in Delphi, and other notable ones in Clarus and Branchidae.

* In Delos, there was an oracle to the Delian Apollo, during summer.

* At Patara, in Lycia, there was a seasonal winter oracle of Apollo, said to have been the place where the god went from Delos.

* In Oropus, north of Athens, the oracle Amphiaraus, was said to be the son of Apollo ; Oropus also had a sacred spring.

* in Labadea, east of Delphi, Trophonius, another son of Apollo, killed his brother and fled to the cave where he was also afterwards consulted as an oracle

Creusa left Ion to die in the wild, but Apollo asked Hermes to save the child and bring him to the oracle at Delphi, where he was raised by a priestess.

However, the Greeks thought of the two qualities as complementary: the two gods are brothers, and when Apollo at winter left for Hyperborea, he would leave the Delphic oracle to Dionysus.

It was famous in antiquity for its oracle of Apollo Abaeus, one of those consulted by Croesus, king of Lydia, and Mardonius, among others.

In Greek mythology, Delphi was the site of the Delphic oracle, the most important oracle in the classical Greek world, and a major site for the worship of the god Apollo after he slew the Python, a dragon who lived there and protected the navel of the Earth.

Delphi became the site of a major temple to Phoebus Apollo, as well as the Pythian Games and the famous prehistoric oracle.

Delphi is perhaps best known for the oracle at the sanctuary that was dedicated to Apollo during the classical period.

Apollo spoke through his oracle: the sibyl or priestess of the oracle at Delphi was known as the Pythia ; she had to be an older woman of blameless life chosen from among the peasants of the area.

The oracle could not be consulted during the winter months, for this was traditionally the time when Apollo would live among the Hyperboreans.

The Sibyl had no connection to the oracle of Apollo, and should not be confused with the Pythia.

The two men sought the advice of the oracle of Apollo at Didyma.

Antioch was a city favored by splendid temples along with a famous oracle of Apollo in nearby Daphne, which may have been cause for him choosing to reside there.

The most important oracles of Greek antiquity were Pythia, priestess to Apollo at Delphi, and the oracle of Dione and Zeus at Dodona in Epirus.

Python, daughter ( or son ) of Gaia was the earth dragon of Delphi represented as a serpent and became the chthonic deity, enemy of Apollo, who slew her and possessed the oracle.

Pythia, the oracle at Delphi, only gave prophecies the seventh day of each month, seven being the number most associated with Apollo, during the nine warmer months of the year ; thus, Delphi was not the major source of divination for the ancient Greeks.

The temple was changed to a center for the worship of Apollo during the classical period of Greece and priests were added to the temple organization — although the tradition regarding prophecy remained unchanged — and the apparently always-female priestess continued to provide the services of the oracle exclusively.

According to Pausanias, Poseidon was one of the caretakers of the oracle at Delphi before Olympian Apollo took it over.

The earliest account of the origin of the Delphic oracle is provided in the Homeric Hymn to Delphic Apollo, which recent scholarship dates within a narrow range, ca.

Later myths stated that Phoebe or Themis had " given " the site to Apollo, rationalizing its seizure by priests of the new god, but presumably, having to retain the priestesses of the original oracle because of the long tradition.

In the Jewish Deuterocanonical book Second Maccabees, Chapter 2, " one finds in the records " that Jeremiah, having received an oracle of the Lord, ordered that the tent and the ark and the altar of incense should follow him to the mountain of God where he sealed them up in a cave, and he told those who followed him in order to mark the way ( but they could not find it ) " The place shall remain unknown until God gathers his people together again and shows his mercy, and then the Lord will disclose these things, and the glory of the Lord and the cloud shall appear, as they were shown in the case of Moses, and as Solomon asked that the place be specially consecrated.

Desiring to reconquer his paternal inheritance, Hyllus consulted the Delphic oracle, which told him to wait for " the third fruit ", ( or " the third crop ") and then enter Peloponnesus by " a narrow passage by sea ".

Intuitively then, the oracle machine can perform all of the usual operations of a Turing machine, and can also query the oracle for an answer to a specific question of the form " is x in A?

Thereafter it operates according to: if the Turing machine is currently in state q, the read / write head is reading a symbol S < sub > 1 </ sub >, and the oracle head is reading S < sub > 2 </ sub >, then if, the machine enters state, the read / write head writes the symbol S < sub > 1 </ sub >' in place of S < sub > 1 </ sub >, and then the read / write head moves 1 cell in direction D < sub > 1 </ sub > and the oracle head moves one cell in direction D < sub > 2 </ sub >.

Turing machines can compute functions as follows: if f is a function that takes natural numbers to natural numbers, M < sup > A </ sup > is a Turing machine with oracle A, and whenever M < sup > A </ sup > is initialized with the work tape consisting of n + 1 consecutive 1's ( and blank elsewhere ) M < sup > A </ sup > eventually halts with f ( n ) 1's on the tape, then M < sup > A </ sup > is said to compute the function f. A similar definition can be made for functions of more than one variable, or partial functions.

Although the Xia is an important element in early Chinese history, reliable information on the history of China before 13th century BC can only come from archaeological evidence since China's first established written system on a durable medium, the oracle bone script, did not exist until then.

Just then, Creon returns to Thebes from a visit to the oracle.

Being desirous of reconquering his paternal inheritance, Hyllus consulted the Delphic oracle, which told him to wait for " the third fruit ," and then enter Peloponnesus by " a narrow passage by sea.

The oracle of Apollo then instructed them to atone for their error and rid themselves of their suffering by honouring the poet, which led to the shrine being dedicated to him.

Thyestes responded by asking an oracle what to do, who advised him to have a son by his daughter, Pelopia, who would then kill Atreus.

An oracle then advised Thyestes that, if he had a son with his own daughter Pelopia, that son would kill Atreus.

An oracle then advised Thyestes that, if he had a son with his own daughter, Pelopia, that son would kill Atreus.

Aristotle in his lost work The State of the Ithacians cited a myth according to which Cephalus was instructed by an oracle to mate with the first female being he should encounter if he wanted to have offspring ; Cephalus mated with a she-bear, who then transformed into a human woman and bore him a son, Arcesius.

This first night mission demonstrates another side of these two kings where they employed stealth and treachery along with might and bravery but more importantly fulfills one of the prophecies required for the fall of Troy: that Troy will not fall while the horses of Rhesus feed upon its plains ( According to another version of the story, it had been foretold by an oracle that if the stallions of Rhesus were ever to drink from the river Scamander, which cuts across the Trojan plain, then the city of Troy would never fall.

Oxylus then, as the oracle had recommended, accompanied Temenus and his brother, Cresphontes, in their invasion of the Peloponnesus.

Since then, a young man and a young girl were sacrificed to the goddess each year until, in accordance with the instructions of the Delphian oracle, a strange king ( Eurypylus, son of Euaemon ) introduced the worship of a new deity ( Dionysus, whose image he brought from Troy ) in Patrae, thus both putting an end to the sacrifices and curing himself of madness which had been sent upon him when he had first looked at the god's image.

The outraged goddess cursed the country with plague and famine ; in order to put an end to the calamity, the inhabitants of Patrae were instructed by the oracle of Delphi to sacrifice both lovers to the goddess and, from then on, to sacrifice the handsomest young man and the most beautiful girl of the city each year, until a new strange deity is introduced in Patrae.

Orpheus then becomes the subject of a cult and an oracle.

Specifically, Michael Luby and Charles Rackoff analyzed the Feistel cipher construction, and proved that if the round function is a cryptographically secure pseudorandom function, with K < sub > i </ sub > used as the seed, then 3 rounds is sufficient to make the block cipher a pseudorandom permutation, while 4 rounds is sufficient to make it a " strong " pseudorandom permutation ( which means that it remains pseudorandom even to an adversary who gets oracle access to its inverse permutation ).

Cassim is forced to use the stolen oracle in order to find the location of the Hand of Midas and then lead his men there.