Kummer theory (3094 bytes)
2: ...'' of [[field (mathematics)|fields]] is a [[field extension]]
11: ...mmer extensions in this case are all '''quadratic extensions'''
15: ...'' has characteristic 2, there are no such Kummer extensions.
17: ...aking ''n'' = 3, there are no degree three Kummer extensions of the [[rational number]] field ''Q'', since fo...
21: ...[separable polynomial]]. Then ''L/K'' is a Kummer extension.

Ernst Kummer (2181 bytes)
1: ...ian]]. Highly skilled in [[applied mathematics]], Kummer trained German army officers in [[ballistics]]; a...
5: ...rgeometric series]] (contiguity relations). The [[Kummer surface]] results from taking the quotient of a t...
7: ==Kummer and Fermat's Last Theorem==
9: ... significant extension of the theory of quadratic extensions, and the genus theory of [[quadratic form]]s (li...
15: .../Mathematicians/Kummer.html Source for more Ernst Kummer information]

Extension (1188 bytes)
1: [[de:Extension]]
2: ...is the [[property]] of taking up [[space]]; see [[Extension (metaphysics)]].
3: ... of things to which a [[property]] applies; see [[Extension (semantics)]].
4: * In [[mathematics]], an '''extension''' of some structure is another structure which c...
5: ...roup]] or [[algebra over a field|algebra]], see [[extension (algebra)]].

Galois extension (803 bytes)
1: ... is both a [[normal extension]] and a [[separable extension]].
3: ...is criterion can be used in practice to show that extensions have Galois groups. It states, in more concrete ...
5: ...K'' of ''G'' is such that ''L''/''K'' is a Galois extension.

Season extension (1981 bytes)
1: In [[agriculture]], '''season extension''' refers to anything that allows a crop to be cu...
3: ...icially lit [[greenhouse]] is the ultimate season extension device, allowing some crops to be grown year-roun...
10: Season extension techniques are most effective when combined with ...
14: Season extension can apply to other climates, where conditions oth...

Curb extension (3599 bytes)
1: ...affic.calming.750pix.jpg|thumb|right|350px|A curb extension marked by darkened [[tarmac]] and black posts on ...
3: A '''curb extension''' (or '''kerb extension''' or '''bulb-out''') is a [[traffic calming]] m...
5: A curb extension comprises an angled narrowing of the roadway and ...
7: Curb extensions are often used in combination with other traffic...
9: ...ilt with the bikelane passing through (making the extension an island, separated from the main sidewalk by a ...

HP-41 extension module (7079 bytes)
1: '''HP-41 extension (or expansion) modules''' allowed the user of a [...

Extension cable (1416 bytes)
1: ...[[mains]] extensions but is also used to refer to extensions for other types of cabling.
3: ...s also used to refer to the whole unit of a short extension cord terminating in a power strip.
5: An extension [[reel]] is an extension lead that rolls up, usually into the socket end, ...
9: ...icity, or both (e.g. [[Universal Serial Bus|USB]] extension cable).

Extension of Remarks (729 bytes)
1: ...mbers of either body may insert material into the Extensions of Remarks portion of the Record, Senators rarel...

Extension agent (418 bytes)
1: ...]]. Many extension agents work for [[cooperative extension]] programs at [[land-grant university|land-grant ...

Extension language (408 bytes)
1: Extension languages allow users, programmers, and third-par...

Mind extension (2549 bytes)
1: Mind Extension

X video extension (2509 bytes)
1: ...egrading the video stream. Similarly, the X video extension has the graphics card perform [[color space]] con...

Friedrichs extension (4677 bytes)
1: ...d after the mathematician [[K. Friedrichs]]. This extension is particularly useful in situations where an ope...
25: == Definition of Friedrichs extension ==
27: The definition of the Friedrichs extension is based on the theory of closed positive forms o...
54: ''T''₁ is the Friedrichs extension of ''T''.
56: == Krein's theorem on non-negative self-adjoint extensions ==

Normal extension (890 bytes)
1: ...gebra]], an [[algebraic extension|algebraic field extension]] ''L''/''K'' is said to be '''normal''' if ''L''...
3: ...ions are equivalent to ''L''/''K'' being a normal extension:
9: ...up>4</sup>&radic;2)/'''Q''' is '''not''' a normal extension since it is missing some roots of '''X'''<sup>4</...

Separable extension (2128 bytes)
3: In [[mathematics]], a '''separable extension''' of a [[field (mathematics)|field]] ''K ''is a ...
5: ...A '''perfect field''' is one for which all finite extensions are separable.
14: ...ion of a separable extension is again a separable extension.
16: ...is is always a purely inseparable extension. Such extensions occur as soon as one looks at multiplication by ...
18: ...osure]], which is the largest available separable extension of ''K''. Then Galois theory can be carried out i...

Extension (computing) (382 bytes)
1: ...he programming concept; for other meanings, see [[extension]].''
3: In [[computing]], an '''extension''' is a [[programming]] concept involving element...

Field extension (3936 bytes)
1: In [[abstract algebra]], an '''extension''' of a [[field (mathematics)|field]] ''K'' is a ...
3: is an extension of '''R''' (the field of [[real number|real numbe...
4: and '''R''' is itself an extension of '''Q'''
6: ...is often used to denote the fact that ''L'' is an extension of ''K''.
8: More generally, an extension of ''K'' is a separate pair of fields ''K*'' and ...

Extension (metaphysics) (515 bytes)
1: ...rtes, the primary characteristic of [[matter]] is extension, just as the primary characteristic of [[mind]] i...

EXTension Port (715 bytes)
1: ...n its bottom side. It reads "EXT." and stands for extension. It is a cartridge drive but with a slightly dif...

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