The Arrow-Debreu model has canonical presentations in Gérard Debreu's Theory of Value ( 1959 ) and in Arrow and Hahn's " General Competitive Analysis " ( 1971 ).

He preferred 1 Esdras over the canonical Ezra – Nehemiah and placed Ezra as a contemporary of Xerxes son of Darius, rather than of Artaxerxes.

Many common axiomatic systems, such as first-order Peano arithmetic and axiomatic set theory, including the canonical Zermelo – Fraenkel set theory ( ZF ), can be formalized as first-order theories.

The status of compounds in which the canonical anion has a delocalized structure in which the negative charge is shared with an atom more electronegative than carbon, as in enolates, may vary with the nature of the anionic moiety, the metal ion, and possibly the medium ; in the absence of direct structural evidence for a carbon – metal bond, such compounds are not considered to be organometallic.

The first occasion on 18 February 1946 – which has become known as the " Grand Consistory " – yielded the elevation of a record 32 new cardinals, almost 50 percent of the College of Cardinals and reaching the canonical limit of 70 cardinals.

In the 1234 Decretals, he invested the doctrine of perpetua servitus iudaeorum – perpetual servitude of the Jews – with the force of canonical law.

It has been proposed, and is thought highly likely by scholars, that " Esdras B " – the canonical Ezra-Nehemiah – is Theodotion's version of this material, and " Esdras A " is the version which was previously in the Septuagint on its own.

Eusebius ( c. 275 – 339 ) professed his own doubts, see also Antilegomena, and is the earliest direct testimony of such, though he stated that the majority supported the text, and by the time of Jerome ( c. 346-420 ) it had been mostly accepted as canonical.

3: 16 ; 2 Peter 1: 19 – 20, 3: 15 – 16 ), holds that the books of both the Old and New Testaments in their entirety, with all their parts, are sacred and canonical because written under the inspiration of the Holy Spirit, they have God as their author and have been handed on as such to the Church herself.

The canonical word order of Ukrainian is subject – verb – object ( SVO ).

Joseph is referenced in apocryphal and non-canonical accounts such as the Acts of Pilate, a text often appended to the medieval Gospel of Nicodemus and The Narrative of Joseph, and mentioned in the works of early church historians such as Irenaeus ( 125 – 189 ), Hippolytus ( 170 – 236 ), Tertullian ( 155 – 222 ) and Eusebius ( 260 – 340 ), who added details not found in the canonical accounts.

The erudite Italian Augustinian Onofrio Panvinio ( 1529 – 1568 ), in his Epitome pontificum Romanorum ( Venice, 1557 ), attributes to him the introduction of the custom of ringing bells at the canonical hours and the celebration of the Eucharist.

The Belinfante – Rosenfeld stress energy tensor is constructed from the canonical stress-energy tensor and the spin current in such a way as to be symmetric and still conserved.

The short and comparatively straightforward Apocalypse of Thomas has no immediate connection with our gospel, while the canonical Jude – if the name can be taken to refer to Judas Thomas Didymus – certainly attests to early intra-Christian conflict.

In the canonical comic book continuation to the television series Buffy the Vampire Slayer Season Eight ( 2007 – present ), it is revealed that Buffy and Dawn's relationship has been strained and conflicted since the events of " Chosen.

Other buffers may use a mixture of sodium citrate and citric acid – canonical buffer tables compiled for biochemical studies describe solutions of citrate and acid for buffer pHs of between 3. 0 and 6. 2.

In the canonical comic book continuation of the series, Buffy the Vampire Slayer Season Eight ( 2007 – 2011 ), Xander comes to achieve these goals in becoming the tactical leader of a global army of Vampire Slayers alongside Buffy.

The algorithm provides no cryptographic security, and is often cited as a canonical example of weak encryption.

This combined time scale is published monthly in Circular T, and is the canonical TAI.

Because there is no canonical well-ordering of all sets, a construction that relies on a well-ordering may not produce a canonical result, even if a canonical result is desired ( as is often the case in category theory ).

The term apocrypha is used with various meanings, including " hidden ", " esoteric ", " spurious ", " of questionable authenticity ", ancient Chinese " revealed texts and objects " and " Christian texts that are not canonical ".

The can be used in Applesoft BASIC as a shortcut for " PRINT ", though spelling out the word is not only acceptable but canonical — Applesoft converted "?

Due to recorded predictions of the destruction of the temple, the Gospel of Mark is believed by many critical scholars to have been composed around or shortly after the fall of Jerusalem due to prophecies assumed to be ex post facto regarding the destruction of the temple, and both traditional and critical scholarly consensus maintains that it was the first written of the four canonical gospels.

The words, " Today I have begotten you ," are omitted from the canonical Gospel of Mark, however, and it is therefore generally believed to have less adoptionist tendencies than the Gospel of the Hebrews.

The canonical example for accumulator use is summing a list of numbers.

The canonical age for the ordination of a deacon was 25 ; Bede's early ordination may mean that his abilities were considered exceptional, but it is also possible that the minimum age requirement was often disregarded.

The Catholic Church does recognise as valid ( though illicit ) ordinations done by breakaway Catholic, Old Catholic or Oriental bishops, and groups descended from them ; it also regards as both valid and licit those ordinations done by bishops of the Eastern churches, so long as those receiving the ordination conform to other canonical requirements ( for example, is an adult male ) and an orthodox rite of episcopal ordination, expressing the proper functions and sacramental status of a bishop, is used ; this has given rise to the phenomenon of episcopi vagantes ( for example, clergy of the Independent Catholic groups which claim apostolic succession, though this claim is rejected by both Orthodoxy and Catholicism ).

While " there is an intentional editorial unity with a cohesive purpose and message in the canonical form of the book ," Job contains many separate elements, some of which may have had an independent existence prior to being incorporated into the present text.

Additionally, Elihu's first spoken words are a confession of his youthful status, being much younger than the three canonical friends, including a claim to be speaking because he cannot bear to remain silent ; it has been suggested that this interesting statement may have been symbolic of a " younger " ( that is to say, later and interpolating ) writer, who has written Elihu's sermon to respond to what he views as morally and theologically scandalous statements being made within the book of Job, and creating the literary device of Elihu to provide what seemed to be a faith-based response to further refute heresy and provide a counter-argument, a need partially provided by God's ambiguous and unspecific response to Job at the end of the book.

The canonical Book of Obadiah is an oracle concerning the divine judgment of Edom and the restoration of Israel.

The only canonical information we have comes from the book that is named for him.

The book of Habakkuk is accepted as canonical by adherents of the Jewish and Christian faiths.

Indeed, Catullus was never considered one of the canonical school authors, although his body of work is on the reading lists for American Ph. D. programs in the classics, and is still taught at secondary school level in the United Kingdom.

English canon may also represent Latin canonicus " one who is canonical ".

As a founding work of modern Western literature, and one of the earliest canonical novels, it regularly appears high on lists of the greatest works of fiction ever published.

By the 20th century the novel had come to occupy a canonical space as one of the foundations of modern literature.

The Diatessaron is thought to have been available to Muhammad, and may have led to his faulty conclusion in the Qur ' an that the Christian Gospel is one text or one book alone, without reference to the canonical authors or New Testament corpus ; he calls this supposed text the Injil.

There is only one instance where the Gospel of Barnabas might be understood as " correcting " a known canonical pericope, so as to record a prophecy by Jesus of the ( unnamed ) Messenger of God:

This canonical account of the life of Jesus of Nazareth is one of the three synoptic gospels.

The Gospel According to Matthew (, to euangelion kata Matthaion ) ( Gospel of Matthew or simply Matthew ) is one of the four canonical gospels, one of the three synoptic gospels, and the first book of the New Testament.

All the different forms of the same verb constitute a lexeme and the form of the verb that is conventionally used to represent the canonical form of the verb ( one as seen in dictionary entries ) is a lemma.

Thus Irenaeus provides the earliest witness to the assertion of the four canonical Gospels, possibly in reaction to Marcion's edited version of the Gospel of Luke, which Marcion asserted was the one and only true gospel.

Although the themes, events and characters of the Arthurian legend varied widely from text to text, and there is no one canonical version, Geoffrey's version of events often served as the starting point for later stories.

# Redundancy analysis is similar to canonical correlation analysis but allows the user to derive a specified number of synthetic variables from one set of ( independent ) variables that explain as much variance as possible in another ( independent ) set.

In his PhD thesis project, Paul Dirac discovered that the equation for the operators in the Heisenberg representation, as it is now called, closely translates to classical equations for the dynamics of certain quantities in the Hamiltonian formalism of classical mechanics, when one expresses them through Poisson brackets, a procedure now known as canonical quantization.

Since there is no one Orthodox body, there is no one canonical statement of principles of faith.

Though he left no handbooks, his speeches (" Antidosis " and " Against the Sophists " are most relevant to students of rhetoric ) became models of oratory ( he was one of the canonical " Ten Attic Orators ") and keys to his entire educational program.

The understanding of the divine spiritual endowment of the rooster within Islam, may be evidenced in the words of Muhammad of that Abrahamic religion in one of the six canonical hadith collections of Sunni Islam, stating that of " when you hear the crowing of cocks, ask for Allah's Blessings for they have seen an angel " as well as the mention where " the cock is also venerated in Islam: it was the giant bird seen by Muhammad in the First Heaven crowing.

For the example, we have a canonical form available that reduces any string to one of length at most three, by decreasing the length monotonically.

In general, it is not true that one can get a canonical form for the elements, by stepwise cancellation.

In Latin-Christian culture, the Aeneid was one of the canonical texts, subjected to commentary as a philological and educational study, with the most complete commentary having been written by the 4th-century grammarian Maurus Servius Honoratus.

Samaritans, followers of an Abrahamic religion closely related to Judaism that recognizes only the first five ( or six ) books of the Bible as canonical, celebrate only one day of Shemini Atzeret.

Hence, no canonical source has given any family names to any Vulcan characters, and indeed, every one of the personal names previously mentioned are all officially described as being only Latin-alphabetical and English-phonetic approximations of the real ones.

The Doric order was one of the three orders or organizational systems of ancient Greek or classical architecture ; the other two canonical orders were the Ionic and the Corinthian.