Empty Set

Also found in: Dictionary/thesaurus, Wikipedia

0.01 sec.

empty set [′em·tē ′set]

(mathematics)

The set with no elements.

Empty Set

(or null set), the set that contains no elements. The concept of the empty set, like the concept of zero, arises from the need to have the result of any operation on sets also be a set. The source of the concept of the empty set is the very method of defining a set by a characteristic property of its elements, since it may not be known beforehand whether elements possessing the property do in fact exist. Thus, it still is not known whether the equation xⁿ + yⁿ = zⁿ, where n is an integer greater than 2, can be solved for x, y, and z if x, y, and z are natural numbers. In other words, it still is not known whether the set of those n > 2 for which the equation is solvable is empty or nonempty.

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.

?Page tools

Printer friendly
Cite / link

Feedback

Mentioned in	?		References in periodicals archive	?		Encyclopedia browser	?		Full browser	?
No references found			Otherwise they risk turning a Ø into a hero, a man with an empty set of principles into a prescient leader who didn’t handle the economic disaster much differently than the Gang of 63 ultimately did. Jon Ralston fears Gibbons’ (lack of) vision will be reinforced by Staff / Las Vegas Sun That the hot tub was not meant to be used only magnified the literalism, as visitors circumambulated the shallow pool and awkward tables, eyeballing them as one would an empty set during a tour of a television studio. Eric Wesley: Bortolami by Burton, Johanna / Artforum International Vijay, who has recorded live sessions for Radio Two and played at Coventry's St Mary's Guildhall and the Godiva Festival, will share the stage with Men Diamler, the Empty Set and Parge. Hot tip Vijay to play Tin Angel by Coventry Evening Telegraph (England)			Empiricism Empiriomonism Empiriosymbolism emplacement emplectite emplecton employee training employer's liability insurance employers' liability employment bureau employment test empodium Empoli Emporia emporium empowerment empress empressite Empson Empson, Sir William Empson, William empty empty element tag empty medium Empty Quarter Empty Set empty shell empty-cell process Empusa Empyema empyrean EMR EMR/EHR Ems Ems Dispatch EMS emulator EMS memory manager Ems River Ems Telegram Ems-Hunte Canal Ems-Jade Canal EMSEC Emser, Hieronymus Emsian Stage Emsland EMT emTeX Emtsa emu EMU8000 emulation			empty medium empty nest syndrome empty nest syndrome empty nest syndrome empty nest syndrome empty nester empty nester empty nester empty nesters empty nesters Empty Net Goals Against Empty Netter empty of Empty of Message Empty orbital empty out empty out empty out Empty Passenger Stock Empty Quarter Empty Quarter Empty Quiver Empty Saddle Syndrome Empty Scrotum Syndrome Empty Scrotum Syndrome empty sella empty sella empty sella Empty sella syndrome Empty Sella Turcica Empty Set Empty Shell empty show Empty Spiracles Empty Stocking Fund Empty subset Empty subset empty talk empty talk empty tomb Empty tuple empty vault Empty Vehicle Weight Empty vessels make most noise Empty vessels make most noise Empty vessels make most noise Empty vessels make most noise Empty vessels make most noise Empty vessels make most sound Empty vessels make most sound Empty vessels make most sound Empty vessels make most sound Empty vessels make most sound Empty vessels make the most sound Empty victory Empty victory Empty victory Empty Wallet Syndrome Empty Weight empty words empty words

Encyclopedia

Free Tools:	For surfers: Free toolbar & extensions \| Word of the Day \| Help For webmasters: Free content \| Linking \| Lookup box \| Double-click lookup

Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.