Two results which follow from the axiom are that " no set is an element of itself ," and that " there is no infinite sequence ( a < sub > n </ sub >) such that a < sub > i + 1 </ sub > is an element of a < sub > i </ sub > for all i. "

Others dances sometimes placed under the umbrella " ballroom dance " include Nightclub Dances such as Lindy Hop, West Coast Swing, Nightclub Two Step, Hustle, Salsa, and Merengue.

The characters have made cameo appearances ( either visually or only voices ) and have been referenced in numerous television shows, such as Friends, Two and a Half Men, Celebrity Deathmatch, Robot Chicken, Space Ghost Coast to Coast, and Saturday Night Live ( TV Funhouse ), in films such as Airheads, Clueless, Austin Powers: International Man of Mystery and Jackass 3D, and even parodied in children shows such as Tiny Toon Adventures, Regular Show and Arthur.

Wills favored jazz-like arrangements and the band found national popularity into the 1940s with such hits as " Steel Guitar Rag ", " New San Antonio Rose ", " Smoke on the Water ", " Stars and Stripes on Iwo Jima ", and " New Spanish Two Step ".

Making very powerful enemies such as Austria, United Kingdom, Russia and Prussia, as well as royalist ( particularly Bourbon ) restorational movements in France, Spain, the Two Sicilies and Sardinia, the dynasty eventually collapsed under its own weight.

He also appeared in a series of television roles, some of which ( such as A Tale of Two Cities in 1980 ) mirrored his affinity for the classics.

Two federal agencies, the Drug Enforcement Administration and the Food and Drug Administration, determine which substances are added to or removed from the various schedules, though the statute passed by Congress created the initial listing, and Congress has sometimes scheduled other substances through legislation such as the Hillory J. Farias and Samantha Reid Date-Rape Prevention Act of 2000, which placed gamma hydroxybutyrate in Schedule I.

Two such examples are aluminium carbide and beryllium carbide.

She continued to make minor and frequently nostalgic period musicals such as Starlift, The West Point Story, On Moonlight Bay, By the Light of the Silvery Moon, and Tea For Two for Warner Brothers.

Two such methods are called overlap-save and overlap-add.

Two such functions are deemed equivalent when their respective sets of fixpoints have the same cardinality, corresponding to cycles of length one in a permutation.

Two such morphisms are composed by first following the first path, then the second ; the homotopy equivalence guarantees that this composition is associative.

Sega also made video games based on Garfield for the Genesis ( Garfield Caught in the Act ) and Windows 3. 1 computers, as well as other companies made games, such as A Tale of Two Kitties for the DS, published by Game Factory, Garfield's Nightmare for DS, Garfield's Funfest for DS, and Garfield Labyrinth for Game Boy.

Domestically, the film was limited in release, having been pre-sold to some theaters ( under alternative titles such including I Led Two Lives, He or She?

Two such objects are said to be isomorphic.

Cotten's career cooled in the 1950s with a string of less high-profile roles in films such as the dark Civil War Two Flags West ( 1950 ), the Joan Fontaine romance September Affair ( also 1950 ), and the Marilyn Monroe vehicle Niagara ( 1953 ), after James Mason turned down the role.

" Two examples of such " pushing " are particularly important in the magnetosphere.

Two considerations must be made when selecting the power source for such applications.

During the band's career and in between lengthy breaks, band members have been involved in several solo projects, such as Sumner's Electronic and Bad Lieutenant ; Hook's Monaco and Revenge and Gilbert's and Morris ' The Other Two.

Two professors of linguistics have claimed that de Vere wrote not only the works of Shakespeare, but most of what is memorable in English literature during his lifetime, with such names as Edmund Spenser, Christopher Marlowe, Philip Sidney, John Lyly, George Peele, George Gascoigne, Raphael Holinshed, Robert Greene, Thomas Phaer, and Arthur Golding being among dozens of further pseudonyms of de Vere.

* The company owns the film libraries of Rysher Entertainment and Bing Crosby Productions ( which had been merged with Rysher in the 1990s ) – such titles include Walking Tall and the international rights to It Takes Two ;

where n is a natural number, the coefficients are elements of R, and X is a formal symbol, whose powers X < sup > i </ sup > are just placeholders for the corresponding coefficients a < sub > i </ sub >, so that the given formal expression is just a way to encode the sequence, where there is an n such that a < sub > i </ sub > = 0 for all i > n. Two polynomials sharing the same value of n are considered equal if and only if the sequences of their coefficients are equal ; furthermore any polynomial is equal to any polynomial with greater value of n obtained from it by adding terms in front whose coefficient is zero.

Two men can often do the installation in a day.

Two monosaccharides can be joined together using dehydration synthesis, in which a hydrogen atom is removed from the end of one molecule and a hydroxyl group (— OH ) is removed from the other ; the remaining residues are then attached at the sites from which the atoms were removed.

Two types of bone can be identified microscopically according to the pattern of collagen forming the osteoid ( collagenous support tissue of type I collagen embedded in glycosaminoglycan gel ):

Two or more players can compete in this variant, but if there are more than six players, not everyone will get a fair turn.

Two slits are illuminated by a plane waveGeometry for far field fringesMuch of the behaviour of light can be modelled using classical wave theory.

Two liquids can form different types of emulsions.

Two fundamental assumptions that underlie formal education systems are that students ( a ) retain knowledge and skills they acquire in school, and ( b ) can apply them in situations outside the classroom.

Two players from opposing teams can battle for the ball, however if another player interferes it is considered third party and the ball automatically goes to the team who only had one player involved in the third party.

Two loops can be combined together in an obvious way: travel along the first loop, then along the second.

Two loops are considered equivalent if one can be deformed into the other without breaking.

Two, a city can seek restitution from offenders for all of the damage that they have committed, not merely a single incident.

Two major types of hydrological models can be distinguished:

The most common size has 34 strings: Two octaves below middle C and two and a half above ( ending on A ), although folk or lever harps can usually be found with anywhere from 19 to 40 strings.

Two months later, the controversial " Winnipeg Statement " issued by the Canadian Conference of Catholic Bishops stated that those who cannot accept the teaching should not be considered shut off from the Catholic Church, and that individuals can in good conscience use contraception as long as they have first made an honest attempt to accept the difficult directives of the encyclical.

Two knitted fabrics can be joined by embroidery-based grafting methods, most commonly the Kitchener stitch.

Two EMG investigations can be characteristic in LEMS: compound motor action potentials ( CMAP ) and single-fiber examination.

An example of this usage can be found in the published edition of the Latin Cathar text, the Liber de duobus principiis ( Book of the Two Principles ), which was described as " Neo-Manichaean " by its publishers.

Two quarks can have their spins aligned, in which case the two spin vectors add to make a vector of length S = 1 and three spin projections ( S < sub > z </ sub > = + 1, S < sub > z </ sub > = 0, and S < sub > z </ sub > = − 1 ), called the spin-1 triplet.

Two kinds of global-scale magnetospheric electric fields can be identified:

Two output terminals can be defined at the active devices, which will have complementary states ; one will have high voltage while the other has low voltage, ( except during the brief transitions from one state to the other ).

The Nightclub Two Step basic step can be counted as One & Two-Three & Four -.

Two terms with the same variables raised to the same powers are called " similar terms " or " like terms ", and they can be combined, using the distributive law, into a single term whose coefficient is the sum of the coefficients of the terms that were combined.

Two people, each standing at one of the focal points 21 feet apart, can whisper secretly to one another despite entertaining the company of others.

Two pairs with any ace-high two-card can be played,