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 multiples can be subtracted ( q < sub > 0 </ sub > = 2 ), leaving a remainder of 147

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 other launch systems are offered by the company, the Soyuz-2 as a medium-lift alternative to Ariane 5, and the Vega as a lighter one .< ref name =" launchers ">

Two common bookkeeping systems used by businesses and other organizations are the single-entry bookkeeping system and the double-entry bookkeeping system.

Two other groups contributed to the design of the language and developed implementations: Harlequin released a commercial IDE for Microsoft Windows and Carnegie Mellon University released an open source compiler for Unix systems.

Two unique features set systems engineering apart from other engineering disciplines: ( 1 ) the particular attention devoted to both the physical processes involved and to the decision making components of the industrial environment, and ( 2 ) the wide scope applicability of its systems methodology, not limited to manufacturing industries, but effectively used in all kinds of business organizations.

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 common types of engineered design for anchoring floating structures include tension-leg and catenary loose mooring systems.

Two of the most outspoken critics of the guild system were Jean-Jacques Rousseau and Adam Smith, and all over Europe a tendency to oppose government control over trades in favour of laissez-faire free market systems was growing rapidly and making its way into the political and legal system.

Two organ systems, the kidneys and lungs, maintain acid-base homeostasis, which is the maintenance of pH around a relatively stable value.

Two systems introduced in historical catalogues remain in use to the present day.

Two built-in ZX Microdrive tape-loop cartridge drives provided mass storage, in place of the more expensive floppy disk drives found on similar systems of the era.

Two redundant systems with independent failure modes, each having an MTBF of 100, 000 hours, could achieve a failure rate on the order of 10 < sup >− 10 </ sup > per hour because of the multiplication rule for independent events.

Two of the most popular systems of taekwondo are named solely after their respective organizations: the World Taekwondo Federation ( WTF ) and the International Taekwon-Do Federation ( ITF ).

Two other versions exist, Object-Oriented Turing and Turing Plus, a systems programming variant.

In The Tyranny of the Two – party system, Lisa Jane Disch criticizes two-party systems for failing to provide enough options since only two choices are permitted on the ballot.

* David Manley-author of " Iron and Fire ", " Fox Two " and other air and naval rules systems, editor of the Naval Wargames Society journal " Battlefleet "

Some of these systems, such as CTV Two, Citytv, and the now-defunct E !, essentially operate as mini-networks, but have reduced geographical coverage.

Two types of polarential systems, known as types A and B, are in use.

Two Rocket Propelled Grenades slammed into the helicopter, shutting down one of its engines, the electric system, and the hydraulic systems and causing Petty Officer First Class Neil C. Roberts to fall out of the open ramp.

Two such constellations, intended to provide satellite phone services, primarily to remote areas, are the Iridium and Globalstar systems.

Two legal systems were in force-Portuguese civil law and African customary law.

Two competing groups developed over fundamental differences in the two remote procedure call systems.

Two systems for which these parameters coincide are called similar ( as with similar triangles, they differ only in scale ); they are equivalent for the purposes of the equation, and the experimentalist who want to determine the form of the equation can choose the most convenient one.

Two approaches have resulted in systems that no longer require coding.

Two German systems covering distinctly divergent degrees of economic opportunity suddenly came into intimate contact.