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 least element - Definition 

The Fifth Element (7637 bytes)
1: [[Image:fifth-element.jpg|Movie Poster|thumb|right|175px|Movie Poster]]
2: [[Category:Science fiction films|Fifth Element, The]]
3: '''''The Fifth Element''''' is a [[science fiction]] [[action movie]] st...
5: ...to his [[taxicab]]. His mission to find the Fifth Element referred to in the film's title is complicated by...
10: ...erson mouth widely open facing upward. These five elements together produce the Divine Light, which vanquis...

Ur-element (916 bytes)
3: ...be an element of a set. That is, if ''U'' is a ur-element, it makes no sense to say
13: Ur-elements are also sometimes known as "[[atoms]]" or "indi...
15: == Ur-elements and Axiomatization ==
17: ...ch as set theory with [[type theory|types]], a ur-element is sometimes an object of type 0, hence the name ...

The fifth element (264 bytes)
1: ...eavenly, element in addition to the common [[four elements]] ([[fire]], [[air]], [[water]] and [[earth]]).
3: Also the title of a movie [[The Fifth Element]].

Element (2654 bytes)
1: Generally, an '''[[element]]''' is a basic part that is the foundation of so...
3: ...erally utilizes the [[classical element|classical elements]], including the fifth, spirit ([[akasha]]).
4: ... '''[[chemical element|element]]''' (''[[chemical element]]'') is material that consists of atoms with the ...
5: ...[[electrical element|element]]''' (''[[electrical element]]'') is any device (such as an [[inductor]], [[re...
6: * In [[Morse code]], an '''[[element (morse code)|element]]''' is the dot or dash.

Group 10 element (1545 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
18: <td>[[Period 7 element|'''7''']]</td>
26: The '''Group 10 elements''' are:

Group 9 element (1536 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
18: <td>[[Period 7 element|'''7''']]</td>
26: The '''Group 9 elements''' are:

Honda Element (1703 bytes)
1: ...age:Honda element 2004.jpg|thumb|300px|2004 Honda Element]]
3: ...also the [[Honda Civic]], from which the CR-V and Element platforms are derived); the engine is a 2.4 litre...
5: The Element is designed to carry large and possibly messy loa...
7: The Element was nominated for the ''[[North American Car of t...
11: ...delName=Element&bhcp=1&BrowserDetected=True Honda Element official webpage]

Group 12 element (1527 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
16: ...55, 192, 192);"><small>80</small><br />[[Mercury (element)|Hg]]</td></tr>
18: <td>[[Period 7 element|'''7''']]</td>

Compact element (3632 bytes)
1: ...ncide with the order theoretic notion of ''finite elements'' either.
3: ...s that can be recovered from their set of compact elements are called [[algebraic poset]]s.
7: For some partially ordered set (''P'',&le;) an element ''c'' of ''P'' is called ''compact'' (or ''finite...
8: ...c'' &le; sup ''D'' then ''c'' &le; ''d'' for some element ''d'' of ''D''.
9: ...p ''I'' and ''c'' &le; sup ''I'' than ''c'' is an element of ''I''.

Greatest element (1999 bytes)
1: ... to any other element of ''S''. The term '''least element''' is defined [[duality (order theory)|dually]].
3: ... ''g'' of a subset ''S'' of ''P'' is the greatest element of ''S'' if
5: : ''s'' &le; ''g'', for all elements ''s'' of ''S''.
7: ...e; in the above definition, one defines the least element of ''S''.
9: ...lement either. Similar conclusions hold for least elements.

Group 8 element (1697 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
18: <td>[[Period 7 element|'''7''']]</td>
23: A '''Group 8 element''' is an element in [[periodic table group]] 8 ([[IUPAC]] style) i...

Group 4 element (1725 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
18: <td>[[Period 7 element|'''7''']]</td>
23: A '''Group 4 element''' is an element in [[periodic table group]] 4 ([[IUPAC]] style) i...

Literary element (1360 bytes)
1: A '''literary element''' (or '''element of literature''') is an individual aspect or char...
3: ...and [[point of view]] are among the many literary elements in existence.
5: ...quires that students utilize and discuss literary elements relating to specific works in two of their four ...
8: == Literary elements ==

Positive element (573 bytes)
1: ...ly, ''A'' has a hermitian square root, that is an element ''B'' of the C*-algebra satisfying ''B*=B'' and '...
9: [[es:Elemento positivo]]

Linear element (362 bytes)
1: ...sistor]]s are the most common example of a linear element; other examples include [[capacitor]]s, [[inducto...

Group 5 element (1714 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
18: <td>[[Period 7 element|'''7''']]</td>
26: A '''Group 5 element''' is an element in [[periodic table group]] 5 ([[IUPAC]] style) i...

Group 7 element (1888 bytes)
9: <td>[[Period 4 element|'''4''']]</td>
12: <td>[[Period 5 element|'''5''']]</td>
15: <td>[[Period 6 element|'''6''']]</td>
18: <td>[[Period 7 element|'''7''']]</td>
26: A '''Group 7 element''' is an element in [[periodic table group]] 7 ([[IUPAC]] style) i...

Element (mathematics) (1907 bytes)
3: In [[mathematics]], an '''element''' (also called a '''member''') is an object cont...
5: ...et ''A'' are the numbers 1, 2, 3 and 4. Groups of elements of ''A'', for example {1, 2}, are [[subset]]s of...
7: ...ot'' 1, 2, 3, and 4. Rather, there are only three elements of ''B'', namely the numbers 1 and 2, and the se...
9: ...&nbsp;=&nbsp;{red, green, blue}, is the set whose elements are the colors red, green and blue.
11: ...'&nbsp;&isin;&nbsp;''A''", means that ''x'' is an element of ''A''. Equivalently one can say or write "''x'...

Inner transition element (488 bytes)
1: ...e [[lanthanide]]s, each named after the beginning element of the row.
7: [[category:chemical element groups]]

Element Skate Co (247 bytes)
2: Name: Element Wood and Thread
5: Website: www.elementskateboards.com

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "least element".