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 years later the Dubna team separated their reaction products by thermal gradient chromatography after conversion to chlorides by interaction with NbCl < sub > 5 </ sub >.

Two differences between the two are that monopolistic competition produces heterogeneous products and that monopolistic competition involves a great deal of non-price competition, which is based on subtle product differentiation.

Two main types of processes are employed: heat treatment to ensure the safety of milk for human consumption and to lengthen its shelf-life, and dehydrating dairy products such as butter, hard cheese and milk powders so that they can be stored.

Two ports on the Rhine provide transport capacity on cargo ships, especially for petroleum products.

Two very similar products, hydroprene and kinoprene are used for controlling species such as cockroaches and white flies.

Two core strategic factors came into play: ( 1 ) the use of shared components in AMC products and ( 2 ) a refusal to participate in the Big Three's restyling race.

Two of its well known products were the Kongsberg Colt and the Krag-Jørgensen rifle.

Two examples and their decay products are:

Two brothers, Bruno Legaignoux and Dominique Legaignoux, from the Atlantic coast of France, developed kites for kitesurfing in the late 1970s and early 1980s and patented an inflatable kite design in November 1984, a design that has been used by companies to develop their own products.

Two Canadian studies, that received funding by the Alberta Livestock and Meat Agency and the Dairy Farmers of Canada, have shown that the natural trans fat vaccenic acid, found in beef and dairy products, may have an opposite health effect and could actually be beneficial compared to hydrogenated vegetable shortening, or a mixture of pork lard and soy fat, e. g. lowering total and LDL cholesterol and triglyceride levels.

Two Maharishi Ayurveda Products International Inc. USA ( MAPI ) products, " Vital Lady " and " Worry Free " were found to have detectable levels of lead, but seventeen other MAPI products tested had no detectable levels of lead, mercury, or arsenic.

" She realizes that " Two end products of this long and costly program faced each other in a fight to the death that might easily claim both of them.

Two commercial software products accomplish the majority of these goals, the VH Dissector from Touch of Life Technologies and “ Voxel-Man-Man 3D-Navigator ” from the University of Hamburg NLM itself has started the open source project “ Insight Toolkit ” whose aim is to automatically deduce organ boundaries from the data.

Two vendors at the McClintock Fountains Farmers Market also reported that there is a better vendor-customer relationship when the consumer knows where the products are grown and when the farmer can personally see that people are happy to buy their produce.

Supporters of the latter interpretation point to the similar terms " half-orcs " and " goblin-men ", appearing in the same book ( chiefly in the second volume, " The Two Towers "), and " Orc-men " and " Man-orcs ", appearing in later writings ( published in " Morgoth's Ring ") — all applied to the products of Sauron and Saruman's Orc-Man breeding programs.

Two elements and of the free group on a set are conjugate if and only if, when they are written as products of elements and with in, and then those products are put in cyclic order, the cyclic orders are equivalent under the rewriting rules that allow one to remove or add adjacent and.

Two notable recent departees are local-born youth products, England goalkeeper Joe Hart and Wales midfielder David Edwards, both of whom have been capped at U21 and senior international levels.

Two of the first products developed at Lighthouse were Diagram!

Two electrophiles and two nucleophiles, then, have potential to result in four possible products:

There are now many competing products, such as Rozalex Two Fives and Rozalex Gauntlet, Deb have even repositioned their own " Suprega " and " Tufanega " for industrial use.

* 2008: ( Two winning newspapers ) Walt Bogdanich and Jake Hooker of The New York Times, " for their stories on toxic ingredients in medicine and other everyday products imported from China, leading to crackdowns by American and Chinese officials.

Two new products were introduced in 1986: the Day 2 Convective Outlook and the Mesoscale Discussion.

Two years later he published his paper « Über Eiweisssynthese im Tierkörper » ( On protein synthesis in the animal body ), proving that animals are able to rebuild their proteins from their degradation products, the amino acids – an essential discovery with regard to nutrition.