According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

For example, there will only be one term x < sup > n </ sup >, corresponding to choosing x from each binomial.

" Poll " is an archaic legal term referring to documents with straight edges ; these distinguished a deed binding only one person from one affecting more than a single person ( an " indenture ", so named during the time when such agreements would be written out repeatedly on a single sheet, then the copies separated by being irregularly torn or cut, i. e. " indented ", so that each party had a document with corresponding tears, to discourage forgery ).

Indeed, their language possessed no single term corresponding to the modern European concept of religion.

In most present-day contexts however, in general the term Flanders is taken to refer to either the political, social, cultural, and linguistic community ( and the corresponding official institution, the Flemish Community ), or the geographical area, one of the three institutional regions in Belgium, namely the Flemish Region.

Groups that refer to their native country as a " fatherland " ( or rather, the most corresponding term to the English word in their languages ), or, arguably, associate it primarily with paternal concepts include:

Each internal line corresponds to a factor of the corresponding virtual particle's propagator ; each vertex where lines meet gives a factor derived from an interaction term in the Lagrangian, and incoming and outgoing lines carry an energy, momentum, and spin.

A corresponding term is sometimes used in Slavic languages, in Serbian is otadžbina or отаџбина in Serbian Cyrillic alphabet, Bosnian Otadžbina ( Отаџбина ), Macedonian татковина ( tatkovina ), Bulgarian татковина ( tatkovina ) as well as otechestvo, Czech otčina ( although the normal Czech term for " homeland " is vlast ), in Polish ojczyzna ( besides macierz " motherland "), Russian otechestvo ( отечество ) or otchizna ( отчизна ) ( although rodina " motherland " is more common ).

The term intron refers to both the DNA sequence within a gene, and the corresponding sequence in RNA transcripts.

The corresponding noun is amor ( the significance of this term for the Romans is well illustrated in the fact, that the name of the City, Rome — in Latin: Roma — can be viewed as an anagram for amor, which was used as the secret name of the City in wide circles in ancient times ), which is also used in the plural form to indicate love affairs or sexual adventures.

It has 109 members, elected for a four year term in 36 three-seat constituencies ( corresponding to the country's 36 states ) and one seat in a single-seat constituency ( the federal capital, Abuja ).

‘ Cyberwar ’ is a corresponding term which Arquilla and Ronfeldt propose to describe high-intensity information age conflicts.

Loss of a positive hydrogen ion ( H < sup >+</ sup >) from the hydroxyl group of a phenol forms a corresponding negative phenolate ion or phenoxide ion, and the corresponding salts are called phenolates or phenoxides, although the term aryloxides is preferred according to the IUPAC Gold Book.

Predating Goldberg, the corresponding term in the UK was, and still is, " Heath Robinson ", after the English illustrator with an equal devotion to odd machinery ( although Heath Robinson's creations did not have the same emphasis on the sequential or chain reaction element ).

The term is used in computing to describe a system in which content ( text and graphics ) displayed onscreen during editing appears in a form closely corresponding to its appearance when printed or displayed as a finished product, which might be a printed document, web page, or slide presentation.

The term " yobibyte " ( YiB ), using a binary prefix, is used for the corresponding power of 1024.

The term " zodiac " may also refer to the region of the celestial sphere encompassing the paths of the planets corresponding to the band of about eight arc degrees above and below the ecliptic.

The term " zebibyte " ( ZiB ), using a binary prefix, is used for the corresponding power of 1024.

This term corresponding to the jurisdiction of the Sheriff in the Scottish legal system.

Gibbs coined the term " statistical mechanics " and introduced key concepts in the corresponding mathematical description of physical systems, including the notions of chemical potential ( 1876 ), statistical ensemble ( 1878 ), and phase space ( 1901 ).

Pauli set up a theory which explained this splitting by introducing a two-component wave function and a corresponding correction term in the Hamiltonian, representing a semi-classical coupling of this wave function to an applied magnetic field, as so:

The form used in the Roman Rite included anointing of seven parts of the body while saying ( in Latin ): " Through this holy unction and His own most tender mercy may the Lord pardon thee whatever sins or faults thou hast committed deliquisti by sight hearing, smell, taste, touch, walking, carnal delectation ", the last phrase corresponding to the part of the body that was touched ; however, in the words of the 1913 Catholic Encyclopedia, " the unction of the loins is generally, if not universally, omitted in English-speaking countries, and it is of course everywhere forbidden in case of women ".

The Codex Cumanicus ( 12th – 13th centuries ) concerning the Northwestern branch is another early linguistic manual, between the Kipchak language and Latin, used by the Catholic missionaries sent to the Western Cumans inhabiting a region corresponding to present-day Hungary and Romania.

The 1969 revision by Pope Paul VI ( see Roman Catholic calendar of saints ) divided feast days into " solemnities ", " feasts " and " memorials ", corresponding approximately to Pope John XXIII's I, II and III class feast days.

In recent times revised editions of the Prayer Book and Common Worship have re-introduced pre-Reformation forms of observance of Good Friday corresponding to those in today's Roman Catholic Church, with special nods to the rites that had been observed in the Church of England prior to the Henrican, Edwardian and Elizabethan reforms, including Creeping to the Cross.

Though they have no figure corresponding to that of the Roman Catholic Pope, performing a function like that of the Pope's Petrine Office, they see each of their autocephalous Churches as embodiments of, respectively, the one Eastern Orthodox Church or the one Oriental Orthodox Church.

Another Catholic variation lists them corresponding to the days of the week as: St Michael ( Sunday ), St Gabriel ( Monday ), St Raphael ( Tuesday ), St Uriel ( Wednesday ), St Sealtiel / Selaphiel ( Thursday ), St Jehudiel / Jhudiel ( Friday ), and St Barachiel ( Saturday ).

The numerical predominance of women within the Catholic Church went alongside a corresponding development of female divine symbols.

In Catholic churches, the most popular colours for the Advent candles are violet and rose, corresponding with the colors of the liturgical vestments for the Sundays of Advent.

This is the version found in the Roman Catholic Liturgy of the Hours used, for instance, in the United States, while the corresponding Divine Office used, for instance, in Australia, England and Wales, and Ireland has:

Indeed, the Roman Catholic Church does not add the phrase corresponding to Filioque ( καὶ Υἱοῦ ) to the Greek text of the Creed, even in the liturgy for Latin Rite Catholics.

Böhmer had a great dislike of Prussia and the Protestant faith, and a corresponding affection for Austria and the Roman Catholic Church, to which, however, he did not belong.

-Popes of the Catholic Church, articles on various ( see corresponding navigation box ( below ))

The corresponding music video for Madonna's " Like a Prayer " featured many Catholic symbols such as stigmata and cross burning, and a dream about making love to a saint, leading the Vatican to condemn the video in the winter of 1989.

Faifley has two schools each with a corresponding church ; Edinbarnet Primary ( Non-Denominational ) with the White Church and St Josephs Primary ( Roman Catholic ) with St Josephs church.

Plainchant, associated with the Catholic Church, was largely replaced with choral music sung in the vernacular language — usually German — and the corresponding musical forms from Catholic countries, such as the motet, were replaced with forms that used as their basis the chorales instead of the plainsong from which much of the motet repertory was derived.

The Epitrachil ( from the Greek, " around the neck "; often called simply a stole in casual English-language usage ) is the liturgical vestment worn by priests and bishops of the Orthodox Church and Eastern Catholic Churches as the symbol of their priesthood, corresponding to the Western stole.

The Roman Catholic Archbishop of Birmingham, Vincent Nichols, said the play was offensive to people of all faiths: " The right to freedom of expression has corresponding duties to the common good.

I prepared for the use of the O. T. O., the central ceremony of its public and private celebration, corresponding to the Mass of the Roman Catholic Church.

etymology of " synaxis " and " synagogue ")— Latin: Synaxarium, Synexarium — the name given in the Eastern Orthodox, Oriental Orthodox and Eastern Catholic Churches to a compilation of hagiographies corresponding roughly to the martyrology of the Roman Church.

In Croatia, name day ( Croatian: imendan ) is a day corresponding to a date in the Catholic calendar when the respective saint's day is celebrated.

Father Wattson was unaware of any such community, but began corresponding with her regarding his desire to see the Anglican and Catholic Churches reunited under the leadership of the Bishop of Rome.

), it provides a faithful description of all English localities as they existed at the time of first publication ( 1831 ), showing exactly where a particular civil parish was located in relation to the nearest town or towns, the barony, county, and province in which it was situated, its principal landowners, the diocese in which it was situated, and — of great importance — the Roman Catholic district in which the parish was located and the names of corresponding Catholic parishes.