What is "syzygy"

Syzygy \Syz"y*gy\ (s[i^]z"[i^]*j[y^]), n.; pl. Syzygies (-j[i^]z). [L. syzygia a joining together, conjunction, Gr. syzygi`a; sy`n with + zeygny`nai to join, zygo`n yoke: cf. F. syzygie. See Yoke, n.]

1. (Astron.) The point of an orbit, as of the moon or a planet, at which it is in conjunction or opposition; -- commonly used in the plural.

2. (Gr. & L. Pros.) The coupling together of different feet; as, in Greek verse, an iambic syzygy.

3. (Zo["o]l.)

   1. Any one of the segments of an arm of a crinoid composed of two joints so closely united that the line of union is obliterated on the outer, though visible on the inner, side.

   2. The immovable union of two joints of a crinoidal arm.

4. The intimately united and apparently fused condition of certain low organisms during conjugation.

   Line of syzygies (Astron.), the straight line connecting the earth, the sun, and the moon or a planet, when the latter is in conjunction or opposition; -- used chiefly of the moon.

"conjunction or opposition of a heavenly body with the sun," 1650s, from Late Latin syzygia, from Greek syzygia "yoke of animals, pair, union of two, conjunction," from syzygein "to yoke together," from assimilated form of syn- "together" (see syn-) + zygon "yoke" (see jugular). Related: Syzygial; Syzygiacal; Syzygetic.

n. 1 (context astronomy astrology English) A kind of unity, namely an alignment of three celestial bodies (for example, the Sun, Earth, and Moon) such that one body is directly between the other two, such as occurs at an eclipse. 2 (context psychology English) An archetypal pairing of contrasexual opposites, symbolizing the communication of the conscious and unconscious minds. 3 (context mathematics English) A relation between generator of a module. 4 (context medicine English) The fusion of some or all of the organs. 5 (context zoology English) The association of two protozoa end-to-end or laterally for the purpose of asexual exchange of genetic material. 6 (context genetics English) The pairing of chromosome in meiosis.

n. the straight line configuration of 3 celestial bodies (as the sun and earth and moon) in a gravitational system

Syzygy may refer to:

"Syzygy" is the thirteenth episode of the third season of the science fiction television series The X-Files. The episode first aired in the United States on January 26, 1996, on Fox. It was written by series creator Chris Carter and directed by Rob Bowman. The episode is a "Monster-of-the-Week" story, unconnected to the series' wider mythology. "Syzygy" earned a Nielsen household rating of 10.8, being watched by 16.04 million people in its initial broadcast. The episode received mixed reviews, with many critics and fans upset by the negative portrayal of Mulder and Scully.

The show centers on FBI special agents Fox Mulder ( David Duchovny) and Dana Scully ( Gillian Anderson) who work on cases linked to the paranormal, called X-Files. In this episode, Mulder and Scully investigate the murders of high school students in a small town where everyone is acting strangely. They discover that two teens are responsible, due to a rare planetary alignment that affects their behavior.

The episode's title refers to an astronomical alignment of three celestial objects, usually the sun, the Earth, and a moon or planet. Mulder and Scully's behavior in the episode was written specifically by Carter to alert the show's audience that Mulder and Scully would not become a romantic partnership. In addition, the episode contained various fan in-jokes, such as Scully getting upset because Mulder is always the driver, which was inspired by nitpicking from fans.

In astronomy, a syzygy (from the Ancient Greek suzugos meaning, "yoked together") is a straight-line configuration of three celestial bodies in a gravitational system.

The word is often used in reference to the Sun, Earth, and either the Moon or a planet, where the latter is in conjunction or opposition. Solar and lunar eclipses occur at times of syzygy, as do transits and occultations. The term is often applied when the Sun and Moon are in conjunction ( new moon) or opposition ( full moon).

The word syzygy is often loosely used to describe interesting configurations of planets in general. For example, one such case occurred on March 21, 1894 around 23:00 GMT, when Mercury transited the Sun (as could have been seen from Venus), and Mercury and Venus both simultaneously transited the Sun as seen from Saturn. It is also used to describe situations when all the planets are on the same side of the Sun although they are not necessarily in a straight line, such as on March 10, 1982.

On June 3, 2014, the Curiosity rover on Mars observed the planet Mercury transiting the Sun, marking the first time a planetary transit has been observed from a celestial body besides Earth.

In poetry, a syzygy is the combination of two metrical feet into a single unit, similar to an elision.

Consonantal or phonetic syzygy is also similar to the effect of alliteration, where one consonant is used repeatedly throughout a passage, but not necessarily at the beginning of each word.

Category:Poetic devices Category:Poetic rhythm

Syzygy is a three-song EP by the American rock band Lynch Mob released in 1998 just after George Lynch left Dokken for another time; Mick Brown decided to stay with Dokken but did perform on the EP. Syzygy saw the return of original Lynch Mob vocalist Oni Logan, and the departure of Robert Mason. The band broke up again after a single writing session, which resulted in Syzygy.

In mathematics, a syzygy (from Greek συζυγία 'pair') is a relation between the generators of a module M. The set of all such relations is called the "first syzygy module of M". A relation between generators of the first syzygy module is called a "second syzygy" of M, and the set of all such relations is called the "second syzygy module of M". Continuing in this way, we derive the nth syzygy module of M by taking the set of all relations between generators of the (n − 1) syzygy module of M. If M is finitely generated over a polynomial ring over a field, this process terminates after a finite number of steps; i.e., eventually there will be no more syzygies (see Hilbert's syzygy theorem). The syzygy modules of M are not unique, for they depend on the choice of generators at each step.

The sequence of the successive syzygy modules of a module M is the sequence of the successive images (or kernels) in a free resolution of this module.

Buchberger's algorithm for computing Gröbner bases allows the computation of the first syzygy module: The reduction to zero of the S-polynomial of a pair of polynomials in a Gröbner basis provides a syzygy, and these syzygies generate the first module of syzygies.