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Edithistory:Examples of vector spaces

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oldid date/time username edit summary
1072221371 2022-02-16T15:27:55Z GeoffreyT2000 Nominated for deletion; see [[:Wikipedia:Articles for deletion/Examples of vector spaces]].
1071730555 2022-02-14T02:42:17Z Hellacioussatyr /* Polynomial vector spaces */
1069556880 2022-02-02T22:20:16Z Felix QW /* Finite vector spaces */ Wikilink referred to a completely different dimension notion
1058695953 2021-12-05T02:20:27Z Comp.arch
1031618145 2021-07-02T16:47:58Z JoergenB /* Trivial or zero vector space */ A null space incidentally may or may not be 'the' zero space; but as concepts they indeed are different.
982326619 2020-10-07T13:28:43Z Jochen Burghardt /* Coordinate space */ suggest
982318229 2020-10-07T12:23:24Z Jochen Burghardt /* Coordinate space */ the axiomatic def.n (hopefully) generalizes all examples given here
982318031 2020-10-07T12:21:54Z Jochen Burghardt /* top */ avoid "we"
946233922 2020-03-18T22:38:13Z Joel Brennan changed '''F''' to ''F'' throughout because boldscript for fields is highly non-standard
929839121 2019-12-08T15:51:44Z Joel Brennan the "main article" does not exist
925850887 2019-11-12T18:46:52Z 188.96.172.69 /* Field extensions */ Note that the dimension may in fact not be defined if the vector space lacks a Hamel basis (in the absence of AC)
923789226 2019-10-30T19:50:15Z 94.175.6.167 /* Infinite coordinate space */
864661446 2018-10-18T17:12:19Z 208.66.211.213 /* Finite vector spaces */ projective geometry is great, but anyone who does it knows what a finite vector space is already.
864660272 2018-10-18T17:05:03Z 208.66.211.213 /* Coordinate space */
864659383 2018-10-18T16:59:13Z 208.66.211.213 /* Coordinate space */
844904493 2018-06-08T00:13:25Z Rgdboer /* Matrices */ re Algebra over a field
844828011 2018-06-07T12:48:57Z 100.11.64.227 /* Field */
821687839 2018-01-22T01:08:46Z Rgdboer /* Finite vector spaces */ re Galois geometry, cite Veblen, ns Refs
821582675 2018-01-21T10:47:26Z 223.182.222.122 /* Field */
803612687 2017-10-03T15:42:41Z SebNag /* Coordinate space */
803612661 2017-10-03T15:42:26Z SebNag /* Coordinate space */ The vector space over the field of reals comes with the denoted standard basis. This does not generalize to all fields AFAIK.
790809502 2017-07-16T06:42:11Z GünniX unbalanced brackets using [[Project:AWB|AWB]]
790731725 2017-07-15T18:50:34Z 2405:204:8481:E124:0:0:153E:60A1
790704554 2017-07-15T14:58:15Z Deacon Vorbis LaTeX spacing clean up, replaced: \,</math> → </math> (12) using [[Project:AWB|AWB]]
789474558 2017-07-07T15:29:11Z Étale.cohomology Added some explanation
780513750 2017-05-15T16:00:25Z Siddharthist /* Finite vector spaces */remove unnecessary "of course"
756330725 2016-12-23T14:26:58Z KylieTastic Reverted 1 edit by [[Special:Contributions/213.55.107.243|213.55.107.243]] ([[User talk:213.55.107.243|talk]]): Rvt. ([[WP:TW|TW]])
756323121 2016-12-23T13:02:12Z 213.55.107.243 dotproductanditsexample
750465097 2016-11-19T22:28:05Z Genpasaporte2 /* Generalized coordinate space */
741851525 2016-09-30T01:50:56Z Rgdboer Undid revision 741823953 by [[Special:Contributions/107.19.102.219|107.19.102.219]] ([[User talk:107.19.102.219|talk]])
741823953 2016-09-29T21:59:53Z 107.19.102.219 4PNI84 VT83487B47Q9837F8G74987897BG98731987F89G79187G987Q928379F8G7T982713398F7G987398E7№₦∞https://en.wikipedia.org/w/index.php?title=Examples_of_vector_spaces&act№∞∞৳₮₩₪₨£₰₦₥ℳ₭₭∞∞↓↓₣‡‡‡‡‡₠₠₠₠
741277740 2016-09-26T13:59:48Z 201.37.163.41 /* Function spaces */
686232344 2015-10-17T21:50:05Z TharosTheDragon /* Trivial or zero vector space */ Links
674346258 2015-08-03T09:59:46Z Lamro link [[zero-dimensional space]] using [[User:Edward/Find link|Find link]]++
659147131 2015-04-25T14:36:46Z 103.21.126.76 /* Product of vector spaces */
649724019 2015-03-03T18:53:39Z 130.126.255.89 /* Product of vector spaces */
644560332 2015-01-28T14:52:18Z Waldyrious /* Generalized coordinate space */ +commas to ease reading flow
621667661 2014-08-17T19:23:53Z Niceguyedc [[:en:WP:CLEANER|WPCleaner]] v1.33 - Repaired 1 link to disambiguation page - [[WP:DPL|(You can help)]] - [[Subfield]]
598452801 2014-03-06T20:52:43Z Wavelength removing 1 space: —> "four- and eight-dimensional"—[[wikt:one-dimensional]]—[[wikt:two-dimensional]]—[[wikt:three-dimensional]]—[[wikt:four-dimensional]]—[[WP:HYPHEN]], sub-subsection 3, point 7 on hanging hyphens
598452508 2014-03-06T20:50:37Z Wavelength inserting 1 [[hyphen]]: —> "two-dimensional"—[[wikt:two-dimensional]]
586863883 2013-12-19T23:34:00Z AsphyxiateDrake /* Matrices */
568803183 2013-08-16T14:32:30Z 67.184.55.214 Removed "you" language ("do not confuse")
564310141 2013-07-15T03:23:01Z 174.53.163.119 /* One variable */
543942116 2013-03-13T22:28:38Z Addbot [[User:Addbot|Bot:]] Migrating 2 interwiki links, now provided by [[Wikipedia:Wikidata|Wikidata]] on [[d:q3061902]]
542412415 2013-03-06T18:39:37Z SchreiberBike [[WP:DPL|You can help.]] Repaired link to the disambiguation page, [[Degree]].
539031710 2013-02-19T12:44:17Z Widr Reverted edit(s) by [[Special:Contributions/203.87.159.9|203.87.159.9]] identified as test/vandalism using [[WP:STiki|STiki]]
539026132 2013-02-19T11:46:53Z 203.87.159.9 /* Infinite coordinate space */
537830071 2013-02-12T06:14:52Z 71.56.218.150 /* Matrices */
537829770 2013-02-12T06:11:37Z 71.56.218.150 m+n not mn for dimension of the space
535339554 2013-01-28T13:20:49Z Widr Reverted edit(s) by [[Special:Contributions/213.55.92.81|213.55.92.81]] identified as test/vandalism using [[WP:STiki|STiki]]
535338527 2013-01-28T13:11:51Z 213.55.92.81 /* Field */
525615107 2012-11-29T23:35:28Z InverseHypercube /* Several variables */
479145048 2012-02-27T16:59:17Z Incnis Mrsi /* Trivial or zero vector space */ {{main|[[Zero vector space]]}}
474990945 2012-02-04T18:00:39Z First Light Reverted 1 edit by [[Special:Contributions/Wikichanger8|Wikichanger8]] ([[User talk:Wikichanger8|talk]]) identified as [[WP:VAND|vandalism]] to last revision by Brad7777. ([[WP:TW|TW]])
474982836 2012-02-04T17:10:27Z Wikichanger8 spell check
474281145 2012-01-31T21:21:21Z Brad7777 −[[Category:Linear algebra]]; −[[Category:Vectors]]; +[[Category:Vector spaces]] using [[WP:HC|HotCat]]
472779597 2012-01-23T10:44:08Z ClueBot NG Reverting possible vandalism by [[Special:Contributions/77.31.122.184|77.31.122.184]] to version by 128.240.225.120. False positive? [[User:ClueBot NG/FalsePositives|Report it]]. Thanks, [[User:ClueBot NG|ClueBot NG]]. (830961) (Bot)
472779588 2012-01-23T10:44:04Z 77.31.122.184
469950248 2012-01-06T19:14:56Z 128.240.225.120 /* One variable */
423282529 2011-04-10T04:39:15Z 206.45.14.219 Made a point a little more clear when it comes to the dimension of a vector space of polynomials
384299943 2010-09-12T00:55:47Z Stpasha /* Trivial or zero vector space */ rm vandalism
383920073 2010-09-09T22:42:20Z 74.34.26.136 /* Trivial or zero vector space */
373971110 2010-07-17T13:07:33Z Materialscientist [[Help:Reverting|Reverted]] edits by [[Special:Contributions/122.172.228.128|122.172.228.128]] ([[User talk:122.172.228.128|talk]]) to last version by GoingBatty
373968791 2010-07-17T12:43:24Z 122.172.228.128 /* Coordinate space */
366916148 2010-06-09T02:18:12Z GoingBatty /* Coordinate space */Fixing [[Wikipedia:Disambiguation pages with links|links to disambiguation pages]] using [[Project:AWB|AWB]]
347741217 2010-03-04T17:39:00Z The Thing That Should Not Be [[WP:RBK|Reverted]] edits by [[Special:Contributions/159.218.41.212|159.218.41.212]] ([[User_talk:159.218.41.212|talk]]) to last revision by The Thing That Should Not Be ([[User_talk:TTTSNB|Report Mistake]]) ([[WP:HG|HG]])
347740025 2010-03-04T17:31:50Z 159.218.41.212
347739750 2010-03-04T17:30:19Z The Thing That Should Not Be [[WP:RBK|Reverted]] edits by [[Special:Contributions/159.218.41.212|159.218.41.212]] ([[User_talk:159.218.41.212|talk]]) to last revision by 96.235.177.86 ([[User_talk:TTTSNB|Report Mistake]]) ([[WP:HG|HG]])
347739738 2010-03-04T17:30:15Z 159.218.41.212
347512788 2010-03-03T14:27:42Z 96.235.177.86 Rewrote section on F^N to clarify why it has a uncountably infinite basis.
347511379 2010-03-03T14:15:42Z 96.235.177.86 Clarified statement about whether F^N has a basis.
343204289 2010-02-10T19:35:14Z 24.160.179.234 /* Generalized coordinate space */
336578926 2010-01-08T11:17:21Z Grafen dab direct sum
329696349 2009-12-04T17:23:27Z Rich Farmbrough remove Erik9bot category, no longer needed for this article using [[Project:AutoWikiBrowser|AWB]]
328504819 2009-11-29T02:47:46Z SmackBot Date maintenance tags and general fixes
327640752 2009-11-24T10:11:04Z RDBury Unreferenced tag
325487771 2009-11-12T19:44:55Z Icairns [[Help:Reverting|Reverted]] edits by [[Special:Contributions/74.11.55.19|74.11.55.19]] ([[User talk:74.11.55.19|talk]]) to last version by LOL
325484440 2009-11-12T19:27:41Z 74.11.55.19 /* Coordinate space */
324528567 2009-11-07T21:50:55Z LOL /* The field */ [[MOS:HEAD]] "the"
324528505 2009-11-07T21:50:27Z LOL /* Trivial or zero vector space */ Remove extraneous period.
314830393 2009-09-19T01:07:44Z J04n Repairing links to disambiguation pages - [[Wikipedia:Disambiguation pages with links|You can help!]]
310851263 2009-08-30T07:19:44Z Eastlaw changed sort key
310851091 2009-08-30T07:17:49Z Eastlaw Quick-adding category [[:Category:Mathematical examples|Mathematical examples]] (using [[WP:HOTCAT|HotCat]])
310448945 2009-08-27T22:38:58Z Nandhp /* One variable */ P_n
306610423 2009-08-07T14:47:54Z Erik9bot add [[Category:Articles lacking sources (Erik9bot)]]
303820214 2009-07-23T21:52:57Z RDBury [[WP:UNDO|Undid]] revision 303803885 by [[Special:Contributions/Rgdboer|Rgdboer]] ([[User talk:Rgdboer|talk]]) Multiple errors in edit. E.g. mxn matrices only form an algebra when m=n.
303803885 2009-07-23T20:24:41Z Rgdboer /* Matrices */ lk associative algebra
303191346 2009-07-20T19:47:46Z RDBury /* The field */ Rephrased to address concerns on talk page. Slight formatting changes.
225327945 2008-07-13T03:06:20Z RDBury /* Coordinate space */ Link to full article
206610219 2008-04-19T01:31:10Z Fropuff remove very marginally related trivial section (see [[WP:TRIVIA]])
206560031 2008-04-18T20:17:48Z 66.210.186.171
193821669 2008-02-25T00:56:33Z Neparis tweak cat. sorting order
193821597 2008-02-25T00:56:15Z Neparis add cat.
177159336 2007-12-11T06:04:42Z Ddxc /* Several variables */
169111344 2007-11-04T07:02:22Z Mike4ty4 /* Finite vector spaces */
160830429 2007-09-28T02:10:59Z 83.6.66.175 /* Finite vector spaces */
150799992 2007-08-12T17:55:40Z Shyam bypass redirect
132903374 2007-05-23T10:51:27Z Patrick ==Product of vector spaces==
117740969 2007-03-25T12:49:16Z Jitse Niesen revert test
117538862 2007-03-24T15:55:38Z 203.200.95.130 /* Polynomial vector spaces */
117538743 2007-03-24T15:54:48Z 203.200.95.130 /* Polynomial vector spaces */
107888386 2007-02-13T19:45:40Z Geometry guy /* Linear transformations */
107888317 2007-02-13T19:45:24Z Geometry guy /* Linear transformations */
107864705 2007-02-13T18:00:48Z Geometry guy /* Function spaces */ Propagate notation plus a few minor edits.
107861588 2007-02-13T17:47:10Z Geometry guy /* One variable */ Connect with coefficients and infinite coordinate space
107859639 2007-02-13T17:38:00Z Geometry guy /* Infinite coordinate space */ Add some words of explanation and other minor points - delete unjustified claim about double dual
107856128 2007-02-13T17:21:48Z Geometry guy /* The field */ Replace slightly cryptic comment by link
107760908 2007-02-13T05:54:59Z Fropuff /* Function spaces */ add comments on notation as per talk
87668542 2006-11-14T01:53:31Z MetsBot [[WP:AWB/T|Typo fixing]] and cleanup, Replaced: iff → if and only if using [[Project:AWB|AWB]]
79844443 2006-10-06T13:55:00Z Jitse Niesen Reverted edits by [[Special:Contributions/68.215.81.20|68.215.81.20]] ([[User talk:68.215.81.20|talk]]) to last version by Andrewdelong
77950965 2006-09-26T18:42:39Z 68.215.81.20 /* The field */
77397569 2006-09-23T18:51:45Z Andrew Delong /* The field */ wikify
60812538 2006-06-27T09:53:45Z 82.126.29.14
59801578 2006-06-21T12:38:35Z Jitse Niesen Reverted edits by [[Special:Contributions/213.55.94.34|213.55.94.34]] ([[User talk:213.55.94.34|talk]]) to last version by VKokielov
59801097 2006-06-21T12:33:20Z 213.55.94.34
58627858 2006-06-14T19:19:15Z VKokielov bases & finite-dimensional spaces
58296890 2006-06-12T23:53:54Z VKokielov style
58087943 2006-06-11T20:39:33Z VKokielov /* Matrices */
58087795 2006-06-11T20:38:23Z VKokielov not dimensionality. dimension
58087514 2006-06-11T20:36:26Z VKokielov typo
58087477 2006-06-11T20:36:11Z VKokielov The field: elaborate
45435832 2006-03-25T16:56:02Z CmdrObot sp: an linear→a linear; unicodify
34862989 2006-01-12T07:17:19Z Lethe /* Function spaces */ link [[Function space]]
34842864 2006-01-12T02:42:41Z Fropuff rv; see talk
34841099 2006-01-12T02:25:55Z Sciyoshi~enwiki
34826757 2006-01-12T00:19:39Z Jitse Niesen /* Differential equations */ add an important condition: the equation has to be linear
34817689 2006-01-11T23:03:47Z Sciyoshi~enwiki /* Differential equations */
34817605 2006-01-11T23:03:04Z Sciyoshi~enwiki /* Differential equations */
34817574 2006-01-11T23:02:45Z Sciyoshi~enwiki /* Function spaces */ Added differential equations
34626220 2006-01-10T16:22:48Z Fropuff this condition is not necessary; X is arbitrary
34623723 2006-01-10T15:59:01Z 137.43.70.22
34623555 2006-01-10T15:57:22Z 137.43.70.22
30218021 2005-12-05T12:59:42Z Lethe /* Infinite coordinate space */ say something about products and coproducts, one is the dual space of the other, space and dual not isomorphic
29845661 2005-12-01T22:03:56Z 80.221.65.243 /* Infinite coordinate space */
29844926 2005-12-01T21:55:24Z 80.221.65.243 /* Trivial or zero vector space */
27868557 2005-11-09T23:56:33Z TakuyaMurata Do not confuse this space with the [[null space]] of an linear operator F, which is the kernel of F.
27466004 2005-11-05T19:40:01Z Jitse Niesen change heading from "Trivial vector space" to "Trivial or zero vector space"
26790238 2005-10-29T13:44:14Z Patrick /* Finite vector spaces */
26789956 2005-10-29T13:38:41Z Patrick /* Finite vector spaces */ and in the trivial case of a zero-dimensional space over any field.
26789728 2005-10-29T13:34:45Z Patrick /* Finite vector spaces */ A vector space over a field '''F''' has a finite number of elements iff '''F''' is a [[finite field]] and the vector space has a finite dimension.
26541082 2005-10-26T16:57:36Z 134.96.234.5 article missing
25666726 2005-10-16T16:20:44Z Paul August /* Coordinate space */ copyedit
22794790 2005-09-07T20:46:47Z Jitse Niesen revert test
22794290 2005-09-07T20:38:43Z 128.211.222.109
20005253 2005-07-31T21:39:51Z Robinh quaternions and octonions
17167803 2005-06-05T13:00:13Z Icairns fix link to degree and maths
14739908 2005-05-26T16:18:23Z Fropuff +link; fix typo
14268632 2005-04-14T17:32:56Z Dpv Function link
12306017 2005-04-05T19:27:48Z MathMartin link
11925357 2005-03-30T22:34:32Z Oleg Alexandrov "Spelling. This is a semi-automatic update (software suggests changes and user decides). It is likely this bot did not fix all spelling mistakes in this article."
11700638 2005-02-07T13:31:44Z Jitse Niesen sp
10031729 2005-02-06T06:30:59Z Fropuff more examples; other minor edits
9992439 2005-02-05T06:50:36Z Fropuff more examples
9961232 2005-02-03T18:14:27Z Fropuff new page of examples --IN PROGESS-- i'll merge in the other example pages soon.