Wikiversity enwikiversity https://en.wikiversity.org/wiki/Wikiversity:Main_Page MediaWiki 1.44.0-wmf.6 first-letter Media Special Talk User User talk Wikiversity Wikiversity talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk School School talk Portal Portal talk Topic Topic talk Collection Collection talk Draft Draft talk TimedText TimedText talk Module Module talk 3 16 2690556 1874462 2024-12-06T10:18:04Z 92.255.57.64 /* Reflection and Evaluation */ Reply 2690556 wikitext text/x-wiki 5dmm2vojglgbc0arf9mmzg7ffpaa0l6 2690558 2690556 2024-12-06T10:18:16Z 92.255.57.64 /* Reflection and Evaluation */ Reply 2690558 wikitext text/x-wiki 6pu8o2s76elli8bdn1m8pgp7ygfde30 4 55 2690504 2671943 2024-12-05T23:05:17Z Atcovi 276019 /* Support staff directory */ date should be updated 2690504 wikitext text/x-wiki 2xkbzy1mf3dnceufhfoofq52g4pxlpo 3 2418 2690557 2409235 2024-12-06T10:18:12Z 92.255.57.64 /* Used the protocol CC+ (The Beatles) */ Reply 2690557 wikitext text/x-wiki 15vsqltsdj79p9zyt0xzhl2g3jngork 3 7279 2690548 2652874 2024-12-06T10:14:17Z 92.255.57.64 Reply 2690548 wikitext text/x-wiki 1zs5rlbd6izfa58aoygc8ojz2dyoyhu 3 9844 2690550 1881088 2024-12-06T10:14:23Z 92.255.57.64 /* Learning Projects */ Reply 2690550 wikitext text/x-wiki 440ir5l8ig4u82di2fza7unawk5y8md 3 10043 2690554 2651254 2024-12-06T10:15:52Z 92.255.57.64 Reply 2690554 wikitext text/x-wiki kg0i9dxo1730mbxxgkka4lrjuym0hk9 0 32774 2690390 2623687 2024-12-05T13:28:50Z 82.219.7.128 2690390 wikitext text/x-wiki ly7rqfevixpwnm7un0wnrx9csv4piho 3 32789 2690559 1882776 2024-12-06T10:18:17Z 92.255.57.64 Reply 2690559 wikitext text/x-wiki l0lgl35gejp976u9lbxpz347qegsx4c 2690560 2690559 2024-12-06T10:19:13Z 92.255.57.64 /* Thanks! */ Reply 2690560 wikitext text/x-wiki hfdizk3kt4bvrken74vsc9k39auo2e2 2690561 2690560 2024-12-06T10:19:17Z 92.255.57.64 /* Thanks! */ Reply 2690561 wikitext text/x-wiki dlqwpi38jjd5vbpq7tc6q9sttlqkhgn 2690562 2690561 2024-12-06T10:19:22Z 92.255.57.64 /* Thanks! */ Reply 2690562 wikitext text/x-wiki l90pezm15ppspuazspd3hecgzdsag6f 2690563 2690562 2024-12-06T10:19:27Z 92.255.57.64 /* Thanks! */ Reply 2690563 wikitext text/x-wiki cqhwidu49lp18w1mfp5dgqrhd91hrls 0 47355 2690387 2113108 2024-12-05T13:16:26Z 103.148.128.46 /* Applying */ 2690387 wikitext text/x-wiki pa7dmyz45zhuapbvjcz9cj574hj3ex0 0 53432 2690481 2637921 2024-12-05T20:03:47Z Atcovi 276019 +[[Pedophilia: Innate or Learned?]] 2690481 wikitext text/x-wiki 3zubtrgjbecv9ikt59us79wbpg7jgta 2690482 2690481 2024-12-05T20:04:15Z Atcovi 276019 removing 2023 as we are fastly approaching 2025 2690482 wikitext text/x-wiki 1htcd6r6m0lm2nb0vetq8ath27oro0g 14 60289 2690525 2658564 2024-12-06T03:53:57Z Tule-hog 2984180 Bot: Replacing category Wikiversity utility templates with [[:Category:Utility templates|Utility templates]] 2690525 wikitext text/x-wiki l5oqiodvrt130hw9eoeqxf7uybncs6i 0 104031 2690465 669129 2024-12-05T18:36:27Z 2603:9000:7AF0:5DA0:824:E221:13AB:AFE4 Felid 2690465 wikitext text/x-wiki knwza3wseq0lr5wx1g8pbu332cyvklz 0 110240 2690468 2475615 2024-12-05T18:58:41Z 143.167.254.167 /* Well-Structured Problems */ 2690468 wikitext text/x-wiki bz3m0kjnm3uwl7iatqkombcybia0qep 2690484 2690468 2024-12-05T20:12:36Z Atcovi 276019 Reverted edits by [[Special:Contributions/143.167.254.167|143.167.254.167]] ([[User_talk:143.167.254.167|talk]]) to last version by [[User:Sakura emad|Sakura emad]] using [[Wikiversity:Rollback|rollback]] 2475615 wikitext text/x-wiki ap4f6gfh0x1phdw616dfmygzljwvjxx 0 115234 2690539 2689704 2024-12-06T05:54:38Z 110.54.169.212 I changed the definition because it's not right 2690539 wikitext text/x-wiki qwcalp8a9bszpt0verpy2on4iehhoae 0 118801 2690421 2652007 2024-12-05T15:11:17Z JBelthoff 2994602 /* External links */ Added a link to an educational resource on the I Ching that provides tools for consulting hexagrams and learning about its history and philosophy. 2690421 wikitext text/x-wiki rlf9hjqk55hmof25t65fi2yokn8fngw 10 122940 2690524 2483096 2024-12-06T03:53:47Z Tule-hog 2984180 Bot: Replacing category Wikiversity utility templates with [[:Category:Utility templates|Utility templates]] 2690524 wikitext text/x-wiki 1umc2nvxyut50mlpzbavue11o80r46m 0 137624 2690452 2682360 2024-12-05T16:56:45Z 182.191.136.20 >netsh wlan show profile name =Sherry Key content = 2690452 wikitext text/x-wiki 7dz8gq8mz6hzciot74s3g7wqavs2zmq 2690454 2690452 2024-12-05T17:03:34Z Atcovi 276019 Reverted edits by [[Special:Contributions/182.191.136.20|182.191.136.20]] ([[User_talk:182.191.136.20|talk]]) to last version by [[User:Tanbiruzzaman|Tanbiruzzaman]] using [[Wikiversity:Rollback|rollback]] 2625975 wikitext text/x-wiki ogw4lmaprrakctjmrhicit5r8jscffu 0 139384 2690396 2690272 2024-12-05T14:03:44Z Young1lim 21186 /* Adder */ 2690396 wikitext text/x-wiki a8afk14wjc8w6nnv0v2ngheicuuul4z 0 145099 2690459 1984005 2024-12-05T17:27:25Z 169.204.151.247 I changed how asia is a cool place to learn math 2690459 wikitext text/x-wiki f7kptgtnpmkfn28eqpgr8ipe1ae4y3y 2690460 2690459 2024-12-05T17:27:46Z Borhan 2941897 Undid edits by [[Special:Contribs/169.204.151.247|169.204.151.247]] ([[User talk:169.204.151.247|talk]]) to last version by Dave Braunschweig: test edits, please use the sandbox 2690460 wikitext text/x-wiki c6pjta5kpcdhf83fidw1rda8mrm8jz2 1 159077 2690551 2618369 2024-12-06T10:14:30Z 92.255.57.64 /* Banner links must be accessible on smartphones */ Reply 2690551 wikitext text/x-wiki oapj3m6p0frwhr95gihqi7tsnekakuh 0 171005 2690407 2690275 2024-12-05T14:24:04Z Young1lim 21186 /* Geometric Series Examples */ 2690407 wikitext text/x-wiki ab6kjf9vy8skqx2ovk166ue7su2q1sc 1 207312 2690564 2234623 2024-12-06T10:47:51Z 92.255.57.64 Reply 2690564 wikitext text/x-wiki h1012ec1lbmmq3rkbihi7limwcb2u79 10 219704 2690528 2488963 2024-12-06T03:58:50Z Tule-hog 2984180 alter cat 2690528 wikitext text/x-wiki h6287oe7xjspawwbp0ow30vdd2tbxgz 2 240847 2690532 2690255 2024-12-06T05:07:47Z Jason M. C., Han 2696291 Adding up Time 2690532 wikitext text/x-wiki fzel8na0j2vmkmunchu51tc49oax9s1 3 253285 2690549 2621503 2024-12-06T10:14:23Z 92.255.57.64 Reply 2690549 wikitext text/x-wiki ezf7vv2l0ho0j12vt5affbr8pws9zu2 2690552 2690549 2024-12-06T10:15:43Z 92.255.57.64 /* thanks */ Reply 2690552 wikitext text/x-wiki mao2zntyq9jksea6rn2zdcrqydnc41m 2690553 2690552 2024-12-06T10:15:48Z 92.255.57.64 /* thanks */ Reply 2690553 wikitext text/x-wiki scdvya4k9rdu8mfuhhz359m8wlqx17g 2690555 2690553 2024-12-06T10:15:54Z 92.255.57.64 /* thanks */ Reply 2690555 wikitext text/x-wiki ijv72u7nrffktuffhjlueun9jkuv2v1 0 263813 2690507 2629659 2024-12-05T23:53:14Z Scogdill 1331941 2690507 wikitext text/x-wiki fshe0rnevhude1tyuatiexcsqhqv3zu 0 263975 2690436 2657548 2024-12-05T16:28:48Z Scogdill 1331941 /* Lady C. Grosvenor */ 2690436 wikitext text/x-wiki knvhi71u6hacxsvbovby8q50s05itva 0 265021 2690506 2629658 2024-12-05T23:48:38Z Scogdill 1331941 2690506 wikitext text/x-wiki 97w4qcx4axdrjld985xgvve4drp6jsy 1 269437 2690472 2611639 2024-12-05T19:22:00Z OhanaUnited 18921 Remove empty application 2690472 wikitext text/x-wiki rkjp98699zealc43cv1bw1tyo0j5jxs 0 270519 2690453 2602518 2024-12-05T16:59:25Z Scogdill 1331941 2690453 wikitext text/x-wiki mbj3s12iwn35yll2ldd42qqrfwe4mto 2 272187 2690370 2609786 2024-12-05T13:03:06Z LVendramin 2994595 Typo corrected 2690370 wikitext text/x-wiki k7kzkcovvldbba6yp4n5nqky1hi9dzo 2690371 2690370 2024-12-05T13:03:58Z LVendramin 2994595 Typo. 2690371 wikitext text/x-wiki ju256uhlbsgwnq8dn4rtmithfclusai 2690372 2690371 2024-12-05T13:04:32Z LVendramin 2994595 Typo. 2690372 wikitext text/x-wiki 23x6yyq1swm5f496yp0nw00yzbou91b 2690373 2690372 2024-12-05T13:05:12Z LVendramin 2994595 Typo. 2690373 wikitext text/x-wiki ab24yli5uhhbhrpv3erxxje1cjakvdr 2690374 2690373 2024-12-05T13:06:09Z LVendramin 2994595 Typo. 2690374 wikitext text/x-wiki 64k1m6e7z6o03ahpx47zt7it0n7j1xy 2690375 2690374 2024-12-05T13:06:58Z LVendramin 2994595 Typo. 2690375 wikitext text/x-wiki 2597q1m56wcll0owuhm5su8y5yeg12q 2690376 2690375 2024-12-05T13:07:31Z LVendramin 2994595 Typo. 2690376 wikitext text/x-wiki 5so8pzs4hyxxeg0d96irwr9ibivkfzr 2690377 2690376 2024-12-05T13:08:06Z LVendramin 2994595 Typo. 2690377 wikitext text/x-wiki 72p887kluudollbntmomsvvktoidb10 2690378 2690377 2024-12-05T13:09:08Z LVendramin 2994595 Typo. 2690378 wikitext text/x-wiki sghzp4ryhdwrft3uvi9t2d3p7grbkw6 2690379 2690378 2024-12-05T13:09:44Z LVendramin 2994595 Typo. 2690379 wikitext text/x-wiki irhxhhthybhzkbn2u67la7p32og6g02 2690380 2690379 2024-12-05T13:10:11Z LVendramin 2994595 Typo. 2690380 wikitext text/x-wiki 8517ar8rtfox5ow3izrwwjh5kfmnzc7 2690381 2690380 2024-12-05T13:11:05Z LVendramin 2994595 Typo. 2690381 wikitext text/x-wiki l3p3hql8efs1h56ttyayw32rb08e090 2690382 2690381 2024-12-05T13:11:47Z LVendramin 2994595 Typo. 2690382 wikitext text/x-wiki aq0j2tcannt6jccj0v1f14ln4zk1dl9 2690383 2690382 2024-12-05T13:12:23Z LVendramin 2994595 Typo. 2690383 wikitext text/x-wiki 5762utswbdidmnqlu8qs11zngk5dy9i 2690384 2690383 2024-12-05T13:13:05Z LVendramin 2994595 Typo. 2690384 wikitext text/x-wiki 3vruq2gp1blzjv6lpcyj8vlnvkwbc6o 10 273569 2690529 2483098 2024-12-06T03:59:24Z Tule-hog 2984180 alter cat 2690529 wikitext text/x-wiki r45dgores7heflaii369avqv3m6jn1a 2 280614 2690486 2396698 2024-12-05T20:15:00Z Atcovi 276019 +[[Pedophilia: Innate or Learned?]] to 2024 2690486 wikitext text/x-wiki dvnu1nawlrle39jwptrwimurmb17zkb 0 285380 2690400 2690270 2024-12-05T14:12:46Z Young1lim 21186 /* Applications */ 2690400 wikitext text/x-wiki 20y5hpu6ho1x55un8nm4x6tkstzkotl 0 285384 2690513 2690205 2024-12-06T02:13:28Z Young1lim 21186 /* Linking Libraries */ 2690513 wikitext text/x-wiki nayogq1xwge4c4qn24o4toggyj5lqxo 2690515 2690513 2024-12-06T02:15:11Z Young1lim 21186 /* Workings of the GNU Linker for IA-32 */ 2690515 wikitext text/x-wiki il3s726kjys3r82jphlcat2jsse3tnr 0 289818 2690547 2678106 2024-12-06T08:37:28Z 82.219.7.140 /* Choose your topic. */ Typo correction 2690547 wikitext text/x-wiki svocm8yi3kjwwckq0ufq7outkdrxmdn 0 290229 2690399 2639012 2024-12-05T14:12:29Z 68.71.27.12 /* Mein Kampf should be banned */ Edit objection against #DebateTools 2690399 wikitext text/x-wiki 723revo32b0nwzw7jaq5b6h40gn6vov 2690402 2690399 2024-12-05T14:13:18Z 68.71.27.12 /* Mein Kampf should be banned */ 2690402 wikitext text/x-wiki 7hvc2ifwfm2jagbauyfpnndo8gnd856 2 293646 2690488 2517248 2024-12-05T20:17:32Z Atcovi 276019 Atcovi moved page [[Does Birth Order Play a Role in Personality?]] to [[User:Atcovi/Does Birth Order Play a Role in Personality?]] without leaving a redirect: moving into userspace 2517248 wikitext text/x-wiki duau4q2sivk7r3m27q4j92oo2r5w4wa 2690490 2690488 2024-12-05T20:17:54Z Atcovi 276019 cleanup 2690490 wikitext text/x-wiki 7z7oscda51pyocmt6p8pmtk00jhbfb8 3 293647 2690489 2483025 2024-12-05T20:17:32Z Atcovi 276019 Atcovi moved page [[Talk:Does Birth Order Play a Role in Personality?]] to [[User talk:Atcovi/Does Birth Order Play a Role in Personality?]] without leaving a redirect: moving into userspace 2483025 wikitext text/x-wiki br8cxdipiuq2h4elwdixi5fhuqehsnu 118 298255 2690492 2690051 2024-12-05T22:37:21Z Jaredscribe 2906761 2690492 wikitext text/x-wiki h0lu6ajec9cbpu8gy86vckc0zbqi32q 2690493 2690492 2024-12-05T22:38:51Z Jaredscribe 2906761 /* Further Reading and Commentary suggested by Wikiversity Professors */ 2690493 wikitext text/x-wiki qm0cr1pk01da5h0c0iq5206x7sotor5 2690495 2690493 2024-12-05T22:45:08Z Jaredscribe 2906761 2690495 wikitext text/x-wiki 87ymv3q35x6pbltu2yuw1lk66obrkrc 2690505 2690495 2024-12-05T23:16:06Z Jaredscribe 2906761 /* Fair use of a Derivative and Copyrighted Work derived from Primary Sources in the Public Domain */ 2690505 wikitext text/x-wiki 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iezequ05zlr15l4eqtwjdth1f3zo66x 0 301480 2690362 2690232 2024-12-05T12:08:11Z Private lecturer (celestial) 2975755 /* Can a live after death be guaranteed? */ Self-fulfilling prophecy 2690362 wikitext text/x-wiki 2u52wdwl4ol2nu9l7sa3sypq7ep0d42 0 302374 2690424 2690239 2024-12-05T15:34:14Z Gavin R Putland 2838145 Generalized spatiotemporal-dipole (GSTD) secondary sources; Application to diffraction by an aperture 2690424 wikitext text/x-wiki k86gpm63d9tfwbhajs5h63exegk6iw3 2690508 2690424 2024-12-06T00:18:16Z Gavin R Putland 2838145 /* Generalized spatiotemporal-dipole (GSTD) secondary sources */ Formatting, punctuation. 2690508 wikitext text/x-wiki 176qtiwvs84qyshali4r0x6roy0918s 0 305611 2690491 2684752 2024-12-05T20:54:10Z 185.108.81.73 /* Israel commits genocide in Israel–Hamas war */ Add objection #DebateTools 2690491 wikitext text/x-wiki 17qxfc4qt6f0w67zckc583ry53aufu5 2 305862 2690487 2639658 2024-12-05T20:15:55Z Atcovi 276019 cat 2690487 wikitext text/x-wiki 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The Late Antique Empires and the Quraysh Tribe */ 2690565 wikitext text/x-wiki 773aq4tos7dneahbvrxtgn4c7kh8kr6 0 306596 2690537 2683450 2024-12-06T05:51:19Z Jtneill 10242 Minor rewrite of Conclusion 2690537 wikitext text/x-wiki 024slegk62opevp5o51pe5qr4564l29 1 306749 2690538 2680623 2024-12-06T05:52:22Z Jtneill 10242 Book chapter - Update Conclusion feedback comments 2690538 wikitext text/x-wiki c4hjpg1zoedkz7ctco6ydjb5iq7f51m 14 308006 2690526 2652348 2024-12-06T03:54:07Z Tule-hog 2984180 Bot: Replacing category Wikiversity utility templates with [[:Category:Utility templates|Utility templates]] 2690526 wikitext text/x-wiki qhht7s0nzd226anv96tp3iq5zk3179t 2 309220 2690531 2680568 2024-12-06T04:00:24Z Tule-hog 2984180 /* General */ rm item 2690531 wikitext text/x-wiki 56j0dxxm8h0bhnepkfqfew5jmbtane4 10 309268 2690530 2660131 2024-12-06T03:59:37Z Tule-hog 2984180 alter cat 2690530 wikitext text/x-wiki 1ja0qs1yi4zdaxkqbp4gkwbl0ik71vm 14 309383 2690527 2660548 2024-12-06T03:54:17Z Tule-hog 2984180 Bot: Replacing category Wikiversity utility templates with [[:Category:Utility templates|Utility templates]] 2690527 wikitext text/x-wiki 8p5z29d1lyoxnp9noiq9676upodwq4v 0 313569 2690474 2685434 2024-12-05T19:57:03Z Atcovi 276019 Atcovi moved page [[User:Atcovi/Criminology 2024 Fall Research Paper]] to [[Pedophilia: Innate or Learned?]]: moving into mainspace 2685434 wikitext text/x-wiki 7cxw7pc232gti8auyi59eyzd1cr3v1y 2690476 2690474 2024-12-05T19:58:29Z Atcovi 276019 2690476 wikitext text/x-wiki psc41lbz2fhb7pph45ebi5t4gbz98te 2690477 2690476 2024-12-05T19:58:45Z Atcovi 276019 2690477 wikitext text/x-wiki 81p6tmoxhftkovtl3z85ry8ij3bvlnm 2690478 2690477 2024-12-05T19:59:11Z Atcovi 276019 {{Italic title}} 2690478 wikitext text/x-wiki qj8ro4fmagii65zd9ubdy7ewotczznu 2690479 2690478 2024-12-05T20:00:20Z Atcovi 276019 project boxes 2690479 wikitext text/x-wiki 3kazv37o15xs6y4tth949tgzdmhzm5i 2690480 2690479 2024-12-05T20:01:56Z Atcovi 276019 see also 2690480 wikitext text/x-wiki 544nk1xln2z11qtn8tofy4fjy6gw9xy 2690483 2690480 2024-12-05T20:11:03Z Atcovi 276019 cleanup 2690483 wikitext text/x-wiki 7zl46cc98rantbao9tsppfo47h78iv8 0 316507 2690446 2690247 2024-12-05T16:50:03Z Sylvain Ribault 2127778 Reorganize 2690446 wikitext text/x-wiki 6uz8zng213gcmnn7v9zhmxaywssrecl 2690449 2690446 2024-12-05T16:51:42Z Sylvain Ribault 2127778 /* Conformal symmetry and gravitation */ 2690449 wikitext text/x-wiki a4w79rod7fxwbak3y6rsskdhd4hbe3c 2 316552 2690518 2690331 2024-12-06T03:27:35Z Jaredscribe 2906761 /* U.S. Department of Defense */ 2690518 wikitext text/x-wiki qd2kpj9e7h1uftlt62bc4koonu7u1ab 2690519 2690518 2024-12-06T03:32:38Z Jaredscribe 2906761 /* US Space Force */ 2690519 wikitext text/x-wiki lsyn44qr2vaj2x7yxd14xzvdzhp45gr 2690520 2690519 2024-12-06T03:40:31Z Jaredscribe 2906761 /* US Space Force */ 2690520 wikitext text/x-wiki nhi80hcx3c53uq3jzsgzugddh50jppx 2690521 2690520 2024-12-06T03:42:12Z Jaredscribe 2906761 /* US Space Force */ The US Space Force's 2023 budget was ~$26bn and it had 9,400 military personnel. (from wp article) 2690521 wikitext text/x-wiki 7lo810htxft9gblotp3aq21t0wtyw1e 2690522 2690521 2024-12-06T03:44:29Z Jaredscribe 2906761 /* US Space Force */ 2690522 wikitext text/x-wiki q425h47txl0jr6bby5la3q2xve2d74o 2690523 2690522 2024-12-06T03:48:28Z Jaredscribe 2906761 Department of Transportation Mr. Trump's transition team told advisors that it plans to make a federal framework for self-driving cars. Mr. Trump had a call with Sundar Pichai and Mr. Musk. 2690523 wikitext text/x-wiki 3fz0yfm70b5urx1k7jyee88ok1hzrn5 3 316657 2690385 2688634 2024-12-05T13:13:33Z J ansari 2807849 J ansari moved page [[User talk:Tres Libras]] to [[User talk:Jet Pilot]]: Automatically moved page while renaming the user "[[Special:CentralAuth/Tres Libras|Tres Libras]]" to "[[Special:CentralAuth/Jet Pilot|Jet Pilot]]" 2688634 wikitext text/x-wiki 8r1eipumm4kzi1262xlubu5wfetqle1 0 316762 2690431 2690325 2024-12-05T16:04:06Z DavidMCEddy 218607 /* The threat */ quote re. cognitive dissonance 2690431 wikitext text/x-wiki iqi2l4871upaa5odjvh9257i57rwy7d 2690433 2690431 2024-12-05T16:16:10Z DavidMCEddy 218607 /* The threat */ Media effect theory 2690433 wikitext text/x-wiki 9ynsokmr1zwggigsznzlq5m0ch28c3b 2690439 2690433 2024-12-05T16:40:01Z DavidMCEddy 218607 /* Cognitive dissonance */ add more quotes incl Jones and Libicki 2690439 wikitext text/x-wiki 29qdpqx8l5tyixjygtalsex97agv7mg 2690441 2690439 2024-12-05T16:42:13Z DavidMCEddy 218607 /* Bibliography */ add Jones and Libicki (2008) 2690441 wikitext text/x-wiki 4bdzz5eccoayss8gyt2e09id9k5oat5 2690442 2690441 2024-12-05T16:43:54Z DavidMCEddy 218607 /* Cognitive dissonance */ kill an idea with another idea 2690442 wikitext text/x-wiki k65rmbz27o7to3lpo0fq1shtn72nvmt 2690443 2690442 2024-12-05T16:47:11Z DavidMCEddy 218607 /* Cognitive dissonance */ external pluralism section 2690443 wikitext text/x-wiki bh7b4xdcydhj9ey3197rmxt4s0ybuqi 2690444 2690443 2024-12-05T16:48:26Z DavidMCEddy 218607 /* External pluralism */ war on bathtubs 2690444 wikitext text/x-wiki mz78ko1tjj9szqpolhxiiv7tlci6hao 2690445 2690444 2024-12-05T16:49:44Z DavidMCEddy 218607 /* Declaring war on bathtubs */ law enforcement v. military 2690445 wikitext text/x-wiki cg1id8hbdfjqzi01m0rfedracs207ao 2690447 2690445 2024-12-05T16:50:24Z DavidMCEddy 218607 /* External pluralism */ wdsmth 2690447 wikitext text/x-wiki tspwqv8xe8xx1r2d8s4oktccryvry8j 2690448 2690447 2024-12-05T16:50:48Z DavidMCEddy 218607 /* Declaring war on bathtubs */ wdsmth 2690448 wikitext text/x-wiki s0s1d0mrngjkknmciybm8rjwmgvgiz5 2690451 2690448 2024-12-05T16:54:26Z DavidMCEddy 218607 /* The relative effectiveness of law enforcement vs. military in combatting terrorism */ 2690451 wikitext text/x-wiki bmq7lgu92mqayus69hiziumoyir2hq1 0 316892 2690542 2689992 2024-12-06T06:35:56Z Alandmanson 1669821 /* Diapriinae */ 2690542 wikitext text/x-wiki d2y2lz7pb8bw5dzk7ave92hvt5qrzse 2690543 2690542 2024-12-06T06:37:12Z Alandmanson 1669821 /* Coptera */ 2690543 wikitext text/x-wiki r8rda36hemmy7od0kgzjuq60sclg6xy 2690544 2690543 2024-12-06T06:49:17Z Alandmanson 1669821 /* Coptera */ 2690544 wikitext text/x-wiki p5ii1dp1nqekfbxwti0h32wi7b80cce 2690545 2690544 2024-12-06T07:03:54Z Alandmanson 1669821 /* Belytinae */ 2690545 wikitext text/x-wiki nqmsdjciqb4963161tn52bgy0c1j9io 2690546 2690545 2024-12-06T07:04:32Z Alandmanson 1669821 /* Diapriinae */ 2690546 wikitext text/x-wiki 3uyg7rk360w4pxdyxbplb80h0982znq 102 316903 2690534 2690191 2024-12-06T05:17:38Z Jason M. C., Han 2696291 2690534 wikitext text/x-wiki ak6hhxlbevyrgqagvclu3vdsnmlr797 2690535 2690534 2024-12-06T05:36:21Z Jason M. C., Han 2696291 Adding new educational story and comments 2690535 wikitext text/x-wiki 0is9mj6d2bj7e2owrss46k82aliajqv 2690536 2690535 2024-12-06T05:37:58Z Jason M. C., Han 2696291 added grammar change 2690536 wikitext text/x-wiki dc4923p4nkaxtt3d81vl8zii7dyx21n 0 316944 2690467 2690148 2024-12-05T18:58:03Z UniBambergIslamicStudies 2987517 2690467 wikitext text/x-wiki 76aesg3kjcd03m4e3xbcfiy1ekcs5e8 0 316963 2690485 2690350 2024-12-05T20:14:08Z RockTransport 2992610 /* Preparations: */ 2690485 wikitext text/x-wiki 72gibogcv3ctj47qc97gk96r2jjyjel 2 316975 2690470 2690346 2024-12-05T19:09:25Z RockTransport 2992610 2690470 wikitext text/x-wiki sdkj9qz14x08qfl59qemq5hbvnsv3ty 2690471 2690470 2024-12-05T19:17:49Z RockTransport 2992610 2690471 wikitext text/x-wiki htc86gbyvzwwqso22blvkr4t1wz9lch 2690473 2690471 2024-12-05T19:23:34Z RockTransport 2992610 2690473 wikitext text/x-wiki mrcljc2hemdti8r0199upw5vtkh8spc 0 316980 2690412 2690360 2024-12-05T14:32:24Z Bocardodarapti 289675 2690412 wikitext text/x-wiki 58rtt8303go0l7hdn86demk5081vtd7 2690413 2690412 2024-12-05T14:45:14Z Bocardodarapti 289675 2690413 wikitext text/x-wiki qgcgq37kek9rmzs7221lgapusc7h6re 2690420 2690413 2024-12-05T15:10:04Z Bocardodarapti 289675 2690420 wikitext text/x-wiki entk32c6ig1whr4ogmg9pnum7kkceor 0 316982 2690363 2024-12-05T12:11:02Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation= Let {{ Mathcor|term1= G, Q |and|term2= H |pm= }} be {{ Definitionlink |groups| |pm=, }} and let {{ Mapping |name=\varphi |G| H || |pm= }} be a {{ Definitionlink |group homomorphism| |pm= }} and {{ Mapping |name=\psi |G|Q || |pm= }} a {{ Definitionlink |surjective| |Context=| |pm= }} group homomorphism. |Condition=Suppose that {{ Relationchain/display | {{op:Kern| \psi|}} |\subseteq| {{op:Kern| \varphi|}} |..." 2690363 wikitext text/x-wiki 7d34vtje6kapw20308shvag0p2qebe9 2690365 2690363 2024-12-05T12:14:52Z Bocardodarapti 289675 2690365 wikitext text/x-wiki 43ocu4neh65v9i8x4x3nkwa6b5wb9a9 10 316983 2690364 2024-12-05T12:12:46Z Bocardodarapti 289675 New resource with "<includeonly>{{#switch: {{#titleparts:{{FULLPAGENAME}}|1|-1}} |latex |#default={{ Math/display|term=\begin{matrix}{{{1|}}} {{{start|}}} & \stackrel{ {{{map12|}}} }{\longrightarrow} & {{{2|}}} {{{goal|}}} & \\ {{#if:{{{map13|}}}| \!\!\! \!\! {{{map13|}}} | }} \downarrow & {{#if:{{{map32|}}}| \nearrow {{{map32|}}} \!\!\! \!\! | \nearrow }} & \\ {{{3|}}} {{{center|}}} & & & & \!\!\!\!\! \!\!\! {{{pm|}}} \\ \end{matrix} }} }}</includeonly><noinclude>{{Semantic template|}}</n..." 2690364 wikitext text/x-wiki 4pghefabr8f87gruqb0zd761yowuccs 0 316984 2690366 2024-12-05T12:25:08Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= We show firstly the uniqueness. For every Element {{ Relationchain | u |\in| Q || || || |pm=, }} there exists some {{ Mathcor|term1= g \in G |with|term2= \psi (g)=u |pm=. }} The commutativity of the diagram ensures that {{ Relationchain/display | \tilde{\varphi} (u) ||\varphi(g) || || || |pm= }} holds. This means that there exists at most one {{mat|term= \tilde{\varphi} |pm=.}} We have..." 2690366 wikitext text/x-wiki gipe15v7d9lwgiz1coq1ufr5lxjky2s 0 316985 2690367 2024-12-05T12:46:11Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= We consider the surjective {{ Definitionlink |group homomorphisms| |Context=| |pm= }} {{ Mapping/display |name=\varphi |\Z| {{op:Zmod|4|}} || |pm= }} and {{ Mapping/display |name=\psi |\Z| {{op:Zmod|12|}} || |pm=. }} We have {{ Relationchain/display | {{op:Kern|\psi|}} || \Z \cdot 12 |\subseteq| \Z \cdot 4 || {{op:Kern|\varphi|}} || |pm=. }} Due to {{ Factlink |Preword=||Factname= Group homomorphism/Homomorphism theorem/Surjective..." 2690367 wikitext text/x-wiki 16ms3zt067ixezbptdo1im9x9l00g1z 0 316986 2690368 2024-12-05T12:50:16Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation={{:Group homomorphism/Situation|extra1={{ Definitionlink |surjective| |pm=}} |pm=.}} |Condition= |Segue= |Conclusion= Then there exists a canonical {{ Definitionlink |isomorphism| |Context=group |pm= }} {{ Mapping/display |name=\tilde{\varphi} |G/ {{op:Kern|\varphi|}} |H || |pm=. }} |Extra= }} |Textform=Fact |Category= |Factname=Isomorphism theorem (groups) }}" 2690368 wikitext text/x-wiki 0h58rpsa0m7o1avgodieyvqhx359a7j 0 316987 2690369 2024-12-05T12:56:05Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= We apply {{ Factlink |Factname= Group homomorphism/Homomorphism theorem/Surjective and kernel/Fact |pm= }} to {{ Relationchain |Q || G/ {{op:Kern|\varphi}} || || || |pm= }} and the {{ Definitionlink |canonical projection| |Context=quotient set |pm= }} {{ Mapping |name=q | G | G/{{op:Kern|\varphi}} || |pm=. }} This induces a group homomorphism {{ Mapping/display |name= \tilde{\varphi} | G/{..." 2690369 wikitext text/x-wiki sm4jq3ik2r7s8v6xmznyb0pbs2hk0w7 3 316988 2690386 2024-12-05T13:13:33Z J ansari 2807849 J ansari moved page [[User talk:Tres Libras]] to [[User talk:Jet Pilot]]: Automatically moved page while renaming the user "[[Special:CentralAuth/Tres Libras|Tres Libras]]" to "[[Special:CentralAuth/Jet Pilot|Jet Pilot]]" 2690386 wikitext text/x-wiki dz6y4xvfk0h8nhlcwzukqd9372aydkj 0 316989 2690388 2024-12-05T13:24:07Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= Let {{mat|term= G |pm=}} be a {{ Definitionlink |cyclic group| |Context=| |pm= }} with a generator {{mat|term= g |pm=.}} We consider the corresponding {{ Definitionlink |group homomorphism| |Context=| |pm= }} {{ Mapping/display |name= \varphi |\Z|G |n| g^n |pm= }} in the sense of {{ Factlink |Factname= Group homomorphism/Z to group/Fact |Nr= |pm=. }} Since we have a generator, this mapping is {{ Definitionlink |surjective| |Context=|..." 2690388 wikitext text/x-wiki oztw23m42wg8ms4fly5d38d4klwkv8h 2690389 2690388 2024-12-05T13:24:27Z Bocardodarapti 289675 2690389 wikitext text/x-wiki c1qcc2mkv4mdtoes3hbomvp5gow5y7s 0 316990 2690391 2024-12-05T13:29:09Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= The {{ Definitionlink |group homomorphism| |Context=| |pm= }} {{ Mapping/display |name= | \R | S^1 | t | {{op:Column vector| {{op:cos|t|}} | {{op:sin|t|}} }} |pm=, }} is {{ Definitionlink |surjective| |Context=| |pm=. }} Due to {{ Factlink |Preword=the|periodicity |Factname=Sine and cosine/R/Properties of periodicity/Fact |Nr= |pm= }} of the {{ Definitionlink |trigonometric functions| |Context=| |pm=, }} the {{ Definitionlink |ke..." 2690391 wikitext text/x-wiki mjth8ano85kx0aft88pzww9857uxm04 0 316991 2690392 2024-12-05T13:33:07Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= The {{ Definitionlink |complex exponential function| |Context=| |pm= }} {{ Mapping/display |name= | (\Complex,0,+) | ( {{op:Unit group|\Complex|}} ,1, \cdot) | z | {{op:exp|z|}} |pm=, }} is a {{ Definitionlink |surjective| |Context=| |pm= }} {{ Definitionlink |group homomorphism| |Context=| |pm=. }} The {{ Definitionlink |kernel| |Context=group| |pm= }} is {{mathl|term= \Z 2 \pi {{imaginary unit|}} |pm=.}} Due to {{ Factlink |Prewo..." 2690392 wikitext text/x-wiki 5g9pxo4qotpfs7w0ci8fx6x8546hloe 0 316992 2690393 2024-12-05T13:36:34Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= The {{ Definitionlink |determinant| |Context=| |pm= }} {{ Mapping/display |name= {{op:Determinant||}} | {{op:GLG|n|K}}| K^\times |M| {{op:Determinant|M|}} |pm=, }} is a {{ Definitionlink |surjective| |Context=| |pm= }} {{ Definitionlink |group homomorphism| |Context=| |pm=; }} its {{ Definitionlink |kernel| |Context=group| |pm= }} is by definition the {{ Definitionlink |special linear group| |Context=| |pm= }} {{mathl|term= {{op:SLG|..." 2690393 wikitext text/x-wiki m3x5ztgc9n6gz3h1km8mqep16o7to69 0 316993 2690394 2024-12-05T13:40:08Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation={{:Group homomorphism/Situation|pm=.}} |Condition= |Segue= |Conclusion= Then there exists a canonical factorization {{ Math/display|term= G \stackrel{q}{\longrightarrow} G/ {{op:Kern|\varphi|}} \stackrel{\theta}{\longrightarrow} {{op:Image|\varphi}} \stackrel{\iota} {\hookrightarrow} H |pm=, }} where {{mat|term= q |pm=}} is the {{ Definitionlink |canonical projection| |Context=quotient set |pm=, }} {{mat|term=..." 2690394 wikitext text/x-wiki 3x3vlzzu6vdl2j3y8618mnf7iu8zqk2 0 316994 2690395 2024-12-05T13:42:06Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= This follows from {{ Factlink |Factname= Group homomorphism/Surjective and residue class group/Fact |pm=, }} applied to the image group {{ Relationchain | U || {{op:Image|\varphi}} |\subseteq| H || || |pm=. }} |Closure= }} |Textform=Proof |Category=See }}" 2690395 wikitext text/x-wiki foek55r1qfp04nz071l7zwrhsz59sz5 6 316995 2690397 2024-12-05T14:04:41Z Young1lim 21186 {{Information |Description=VLSI.Arith: Carry Skip Adders 1A (20241205 - 20241204) |Source={{own|Young1lim}} |Date=2024-12-05 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690397 wikitext text/x-wiki 4m23zodlrchnssq2wxn7wmbnbumqeg4 0 316997 2690403 2024-12-05T14:13:24Z Bocardodarapti 289675 New resource with "{{ Mathematical section{{{opt|}}} |Content= Due to {{ Factlink |Factname= Commutative ring/Ring homomorphism/Kernel/Ideal/Fact |pm=, }} the {{ Definitionlink |kernel| |Context=ring| |pm= }} of a {{ Definitionlink |ring homomorphism| |Context=| |pm= }} is an {{ Definitionlink |ideal| |Context=commutative| |pm=. }} We will construct, for any given ideal {{ Relationchain |I |\subseteq|R || || || |pm= }} in a {{ Extra/Bracket |text=commutative| |pm= }} ring, a commutative..." 2690403 wikitext text/x-wiki 2y62xn0ime59etyj3sbr6qv3eo280fs 6 316998 2690404 2024-12-05T14:13:32Z Young1lim 21186 {{Information |Description=C04.SA0: Address-of and de-reference operators 1A (20241205 - 20241204) |Source={{own|Young1lim}} |Date=2024-12-05 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690404 wikitext text/x-wiki nkq9t0weome4mtc98ekmray8fk0cl8r 10 316999 2690405 2024-12-05T14:13:49Z Bocardodarapti 289675 New resource with "<includeonly>{{#switch: {{#titleparts:{{FULLPAGENAME}}|1|-1}} |latex=\overline{ {{{1|1}}} }\, |#default=\overline{ {{{1|1}}} }\, }}</includeonly><noinclude>{{Semantic template|}}</noinclude>" 2690405 wikitext text/x-wiki 8ckniwyfz79w7hbv4jywureoxhaiali 10 317000 2690406 2024-12-05T14:14:24Z Bocardodarapti 289675 New resource with "<includeonly>{{#switch: {{#titleparts:{{FULLPAGENAME}}|1|-1}} |latex=\defeqr |#default==: }}</includeonly><noinclude>{{Semantic template|}}</noinclude>" 2690406 wikitext text/x-wiki 81pqkv7mhpun7hcibpkuaouu60zmmc5 0 317001 2690408 2024-12-05T14:24:44Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= {{:Commutative ring/Ideal/Situation|pm=.}} For {{ Relationchain | a |\in|R || || || |pm=, }} the subset {{ Relationchain/display | a+I || {{Setcond|a+f| f \in I }} || || || |pm= }} is called the {{Word of definition|coset of}} {{mat|term= a |pm= }} to the ideal {{mat|term= I |pm=.}} Every subset of this form is called a {{Word of definition|coset}} to {{mat|term= I |pm=.}} |Textform=Definition |Category= |Word of definition=Cos..." 2690408 wikitext text/x-wiki 16kp4447qtmvxbj0t7kl42nx4oe39y3 6 317002 2690409 2024-12-05T14:24:49Z Young1lim 21186 {{Information |Description=Laurent.5: Permutations 6B (20241205 - 20241204) |Source={{own|Young1lim}} |Date=2024-12-05 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690409 wikitext text/x-wiki re64i4w41mrfwyskic8yz1rily93mch 0 317003 2690410 2024-12-05T14:26:30Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Situation{{{opt|}}} |Text= Let {{mat|term={{{R|R}}} |}} be a {{ Definitionlink |commutative ring| |pm=, }} and let {{ Relationchain | {{{I|I}}} |\subseteq| {{{R|R}}} || || || }} be an {{ Definitionlink |ideal| }} in {{mat|term={{{R|R}}} |pm={{{pm|}}}}} |Textform=Situation |}}" 2690410 wikitext text/x-wiki bopz92dfc89f5wadh87hfg1lqiz88kh 0 317004 2690411 2024-12-05T14:31:55Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= {{:Commutative ring/Ideal/Situation|pm=.}} Then the {{Word of definition|residue class ring}} {{mathl|term=R/I|pm= }} {{ Extra/Bracket |text=R modulo I| |pm= }} is a commutative ring that is determined by the following data. {{ Enumeration5 |As a set, {{mathl|term=R/I|pm= }} is the set of all {{ Definitionlink |Premath= |cosets| |Context=ideal| |pm= }} to {{mat|term= I |pm=.}} |An addition of cosets is defined by {{ Relationchain/d..." 2690411 wikitext text/x-wiki 9sffodnz83koj0ln1hdwid18azz3szt 0 317005 2690414 2024-12-05T14:47:39Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation= {{:Normal subgroup/Situation|pm=|H=N}} with {{ Definitionlink |residue class group| |pm= }} {{ Relationchain |Q ||G/N || || || |pm=. }} Let {{ Relationchain |H |\subseteq|G || || || |pm= }} be another normal subgroup in {{mat|term= G |pm=}} with {{ Relationchain | N | \subseteq | H || || || |pm=. }} |Condition= |Segue= |Conclusion= Then the {{ Definitionlink |image| |pm= }} {{mat|term= \overline{H} |pm=..." 2690414 wikitext text/x-wiki 5ljtfgtetesu2rf43w3tqauypcv9c8o 0 317006 2690415 2024-12-05T15:01:14Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= For the first statement, see {{ Exerciselink |Exercisename= Surjective group homomorphism/Normal subgroup/Image/Normal subgroup/Exercise |pm=. }} Therefore, the residue class group {{mathl|term= Q/\overline{H} |pm=}} is well-defined. We consider the composition {{ Math/display|term= p \circ q : G \longrightarrow Q \longrightarrow Q/\overline{H} |pm=. }} Because of {{ Relationchain/align |..." 2690415 wikitext text/x-wiki 8g0wjgwvn16go6xvg8ut3aphoj38847 0 317007 2690416 2024-12-05T15:03:38Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= Let {{ Mathcor|term1= R |and|term2= S |pm= }} be {{ Definitionlink |rings| |pm=. }} A mapping {{ Mapping/display |name= \varphi | R | S || |pm= }} is called a {{Word of definition|ring homomorphism|pm=,}} if the following properties hold: {{ Enumeration3 |{{ Relationchain |\varphi(a+b) ||\varphi(a) + \varphi(b) || || || |pm=. }}| {{ Relationchain |\varphi(1) ||1 || || || |pm=. }} |{{ Relationchain | \varphi(a \cdot b) ||\varphi(a) \..." 2690416 wikitext text/x-wiki 0f567lqs3fcrlaghfh8b0m4omluuu1h 0 317008 2690417 2024-12-05T15:08:05Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact{{{opt|}}} |Text= {{ Factstructure|typ= |Situation= Let {{mat|term= R |}} and {{mat|term= S}} be {{ Definitionlink |commutative rings| |pm=, }} and let {{ Mapping/display |name= \varphi |R|S || }} be a {{ Definitionlink |ring homomorphism| |pm=. }} |Condition= |Segue= |Conclusion= Then the {{ Definitionlink |kernel| |Context=ring| }} {{ Relationchain/display | {{op:Kern|\varphi|}} || {{Setcond|f \in R| \varphi(f) {{=|}} 0}} || || || }} is an {{..." 2690417 wikitext text/x-wiki 680kaylait2848gsbnuyl3zoqfgvhcu 0 317009 2690418 2024-12-05T15:08:31Z Bocardodarapti 289675 New resource with "{{Number in course{{{opt|}}}|Lemma|46|1|}}" 2690418 wikitext text/x-wiki sxu3qz4xta8h0lcgw9qbku92rzyeqmz 2690419 2690418 2024-12-05T15:08:55Z Bocardodarapti 289675 2690419 wikitext text/x-wiki h4d9huvl975w93v2giilhtwbp23z1z9 0 317010 2690422 2024-12-05T15:13:14Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation= |Condition= Let {{ Relationchain | d |\geq| 0 || || || |pm= }} be a natural number. |Segue= |Conclusion= Then there exists a uniquely determined ring structure on {{mathl|term= {{op:Zmod|d|}} |pm=}} such that the {{ Definitionlink |residue class mapping| |Context=| |pm= }} {{ Mapping/display |name= | \Z | {{op:Zmod|d|}} | a | {{op:cl|a|}} |pm=, }} is a {{ Definitionlink |ring homomorphism| |pm=. }} |Extra={..." 2690422 wikitext text/x-wiki ie9twnoa8id3bivhu32enhoea3jwl45 0 317011 2690423 2024-12-05T15:18:20Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation= Let {{ Relationchain |{{{n|n}}} | \geq | 1 || || || |pm= }} be a natural number, and let {{mathl|term= {{op:Zmod| {{{n|n}}} |}} |}} be the corresponding {{ Definitionlink |residue class ring| |pm=. }} |Condition= |Segue= |Conclusion=Then the following statements are equivalent. {{ Enumeration3 |{{mathl|term= {{op:Zmod|n|}} |pm=}} is a {{ Definitionlink |field| |pm=. }} |{{mathl|term= {{op:Zmod|n|}} |pm=}}..." 2690423 wikitext text/x-wiki 0zdvc33gds8ol3von0uijaf16q04die 0 317012 2690425 2024-12-05T15:37:22Z Bocardodarapti 289675 New resource with " {{Subtitle|Relations}} {{ inputdefinition |Set/Relation/Definition|| }} A relation means that certain pairs {{mathl|term= (x,y) |pm=}} belong to the given relation, and the other pairs do not belong to it. We write {{ Relationchain | (x,y) |\in| R || || || |pm=, }} or {{mathl|term= R (x,y) |pm=,}} or {{mathl|term= xRy |pm=.}} In case {{ Relationchain |X ||Y || || || |pm=, }} we talk about a relation on {{mat|term= X |pm=.}} From analysis, order relations are probably..." 2690425 wikitext text/x-wiki swn7r4a4xtsp8tkyq3cv7bfrth0xlgu 2690429 2690425 2024-12-05T15:48:24Z Bocardodarapti 289675 2690429 wikitext text/x-wiki q103979392lj1nakgow0xs8haiy91u3 0 317013 2690426 2024-12-05T15:47:16Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= Let {{ Mathcor|term1= X |and|term2= Y |pm= }} denote sets. A {{Word of definition|relation}} between {{mat|term=X}} and {{mat|term=Y}} is a subset {{ Relationchain |R |\subseteq| X \times Y || || || |pm=. }} |Textform=Definition |Category= |Word of definition=Relation }}" 2690426 wikitext text/x-wiki taezlp4nirejwg8a1d5ksk88xxazab1 2690427 2690426 2024-12-05T15:48:15Z Bocardodarapti 289675 Bocardodarapti moved page [[Set/Relation/Definition]] to [[Sets/Relation/Definition]] 2690426 wikitext text/x-wiki taezlp4nirejwg8a1d5ksk88xxazab1 0 317014 2690428 2024-12-05T15:48:15Z Bocardodarapti 289675 Bocardodarapti moved page [[Set/Relation/Definition]] to [[Sets/Relation/Definition]] 2690428 wikitext text/x-wiki 1p4y0wl76odv6iyykxurlqewebjgmnl 0 317015 2690430 2024-12-05T15:51:36Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= A {{ Definitionlink |relation| |pm= }} {{mat|term= \preccurlyeq |pm=}} on a set {{mat|term= I |pm=}} is called an {{Word of definition|order relation|pm=,}} if the following three conditions are fulfilled. {{ Enumeration3 |{{ Relationchain |i |\preccurlyeq |i || || || |pm= }} for all {{ Relationchain |i |\in|I || || || |pm=. }} |From {{ Relationchain |i |\preccurlyeq |j || || || |pm= }} and {{ Relationchain |j |\preccurlyeq |k || ||..." 2690430 wikitext text/x-wiki 0jwz0zq1yjd5yu5uc05m5p3aujtodk9 0 317016 2690432 2024-12-05T16:10:55Z Bocardodarapti 289675 New resource with "{{ Mathematical section{{{opt|}}} |Content= {{ inputdefinition |Set/Equivalence relation/Definition|| }} {{ inputexample |Equivalence relation/Equality/Example|| }} {{ inputimage |Wildebeests in the Masaai Mara|jpg| 300px {{!}}thumb {{!}} |epsname=Wildebeests_in_the_Masaai_Mara |Text=[[w:Blue wildebeest|Wildebeest]] form an equivalence class with respect to the equivalence relation belonging to the same species, [[w:Plains zebra|zebras]] as well. |User=FlickreviewR |..." 2690432 wikitext text/x-wiki kv3vnji3fj8c6s3nkgbk1vlfp4kxgs0 0 317017 2690434 2024-12-05T16:24:10Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= An {{Word of definition|equivalence relation|pm=}} on a set {{mat|term= M |pm=}} is a {{ Definitionlink |relation| |Context=set |pm= }} {{ Relationchain | R |\subseteq| M \times M || || || |pm= }} fulfilling the following three properties {{ Extra/Bracket |text=for arbitrary {{ Relationchain/b |x,y,z |\in| M || || || |pm= }}| |pm=. }} {{ Enumeration3 |{{ Relationchain |x |\sim|x || || || |pm= }} {{ Extra/Bracket |text={{Word of def..." 2690434 wikitext text/x-wiki qb810jp5yipyy3y7iuytgweh37hnfml 0 317018 2690435 2024-12-05T16:26:23Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= A basic example of an {{ Definitionlink |equivalence relation| |pm= }} is the equality on an arbitrary set {{mat|term= M |pm=.}} Under equality, every element is only equivalent with itself. |Textform=Example |Category= }}" 2690435 wikitext text/x-wiki qx2tey8bhoeqgiqjmmrfey2p31evgyg 0 317020 2690440 2024-12-05T16:41:11Z Bocardodarapti 289675 New resource with "{{ Mathematical section{{{opt|}}} |Content= An {{ Definitionlink |Premath= |equivalence relation| |Context=| |pm= }} {{ Relationchain | R | \subseteq | M \times M || || || |pm= }} on a set {{mat|term= M }} may also be considered as a {{Keyword|partition|pm=}} of the set {{mat|term= M |pm=.}} In order to see this, the concept of an {{Keyword|equivalence class}} is helpful. {{inputdefinition |Equivalence relation/Equivalence class/Definition||}} Hence, {{mat|term= [x]..." 2690440 wikitext text/x-wiki prl9i3ft60758dkc36ue869fbuze67t 0 317021 2690450 2024-12-05T16:53:46Z Bocardodarapti 289675 New resource with "{{ Mathematical section{{{opt|}}} |Content= {{inputdefinition |Equivalence relation/Quotient set/Definition|}} {{inputdefinition |Equivalence relation/Canonical projection/Definition|}} With the quotient set, the equivalence classes become elements of a new set. Under the canonical projection, equivalent elements are mapped to the same element and so they are identified. We also say that the theory of equivalence relations is the {{Keyword|art of identifying|pm=.}} In..." 2690450 wikitext text/x-wiki a2rvjzl2i005brb6a9a9jc4ep8nwzyh 2690457 2690450 2024-12-05T17:23:14Z Bocardodarapti 289675 2690457 wikitext text/x-wiki 3d0qd3wqigb0okqgkgcsifcetlm86oq 0 317022 2690455 2024-12-05T17:04:57Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= Let {{ Relationchain |R |\subseteq| M \times M || || || |pm= }} denote an {{ Definitionlink |equivalence relation| |Context=| |pm=. }} The set {{ Relationchain/display | M/R | {{defeq|}} | {{Setcond| [x]| x \in M }} || || || |pm= }} is called the {{Word of definition|quotient set}} of {{mat|term= R |pm=.}} |Textform=Definition |Category= |Word of definition=Quotient set }}" 2690455 wikitext text/x-wiki 0twyjmi35sxc23qb1xfej2i1zbf9kkb 0 317023 2690456 2024-12-05T17:07:37Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= Let {{ Relationchain |R |\subseteq|M \times M || || || |pm= }} denote an {{ Definitionlink |equivalence relation| |pm=, }} and let {{mat|term= M/R}} be the {{ Definitionlink |quotient set| |pm=. }} The mapping {{ Mapping/display |name=q_R |M |M/R |x| [x] |pm=, }} is called the {{Word of definition|canonical projection}} of {{mat|term= R |pm=.}} |Textform=Definition |Category= |Word of definition=Canonical projection }}" 2690456 wikitext text/x-wiki ji58n3eahz5y8tn7b04k6csd62186yy 0 317024 2690458 2024-12-05T17:24:20Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation= |Condition= Let {{mat|term= M |pm=}} be a set, and let {{mat|term= \sim|pm=}} denote an {{ Definitionlink |equivalence relation| |Context=| |pm= }} on {{mat|term= M |pm=,}} together with the {{ Definitionlink |equivalence classes| |pm= }} {{mat|term= [x] |pm=}} and the {{ Definitionlink |quotienten set| |pm= }} {{mathl|term= M/\sim |pm=.}} |Segue=Then the following statements hold. |Conclusion= {{ Enumeratio..." 2690458 wikitext text/x-wiki 3kk6lnypq0gpo1eo371c1jypayhyxpf 0 317025 2690461 2024-12-05T17:34:19Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= {{ Enumeration4 |Let {{ Mathcor|term1= x |and|term2= y |pm= }} be equivalent, and {{ Relationchain |u |\in|[x] || || || |pm=. }} Then {{ Relationchain |x |\sim|u || || || |pm=, }} and, by transitivity, also {{ Relationchain |y |\sim|u || || || |pm=, }} thus {{ Relationchain |u |\in|[y] || || || |pm=. }} Therefore, the equivalence classes coincide. The implication from the middle to the rig..." 2690461 wikitext text/x-wiki 3rbr35fo2f4otm1w7nxbi4ur0nko9lj 0 317026 2690462 2024-12-05T18:05:33Z Juliafono 2948061 Article revision 2690462 wikitext text/x-wiki mee7r4o4gn5ri24n08etsrjmbrgkg3t 2690463 2690462 2024-12-05T18:20:06Z Juliafono 2948061 edição menor 2690463 wikitext text/x-wiki 9vq4bkuynv5ya6crauwz238txkk5o3z 2690466 2690463 2024-12-05T18:42:14Z Juliafono 2948061 edição menor 2690466 wikitext text/x-wiki dkp86zzvgigptfztegm1nyhqjxsyrlh 2690517 2690466 2024-12-06T02:32:31Z MathXplore 2888076 added [[Category:Wikipedia]] using [[Help:Gadget-HotCat|HotCat]] 2690517 wikitext text/x-wiki h4rh3u5egdiqjq59qe9nnnc2kp9hfp9 0 317027 2690464 2024-12-05T18:21:41Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= On the set of all lines in the plane, we can consider the property of being parallel as an {{ Definitionlink |Premath= |equivalence relation| |Context=| |pm=. }} A line is parallel to itself, the relation is obviously symmetric, and if {{ Mathcor|term1= G_1 |and|term2= G_2 |pm= }} are parallel, and {{ Mathcor|term1= G_2 |and|term2= G_3 |pm= }} are parallel, then also {{ Mathcor|term1= G_1 |and|term2= G_3 |pm= }} are parallel. The {{ D..." 2690464 wikitext text/x-wiki t9fu03k30y5ipw2yhs91l4ybwbd9gsh 2 317029 2690475 2024-12-05T19:57:03Z Atcovi 276019 Atcovi moved page [[User:Atcovi/Criminology 2024 Fall Research Paper]] to [[Pedophilia: Innate or Learned?]]: moving into mainspace 2690475 wikitext text/x-wiki j2frrmy0cwhmqjb67eu7bndamklmm9k 6 317031 2690514 2024-12-06T02:14:54Z Young1lim 21186 {{Information |Description=LIB.2A: Shared Libraries (20241205 - 20241204) |Source={{own|Young1lim}} |Date=2024-12-06 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690514 wikitext text/x-wiki e716jqbz0cq9uzwolg7s5fix86m5c3e 6 317032 2690516 2024-12-06T02:15:37Z Young1lim 21186 {{Information |Description=LIB.2A: Shared Libraries (20241206 - 20241205) |Source={{own|Young1lim}} |Date=2024-12-06 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690516 wikitext text/x-wiki dmve24eed27dj7oac8dcqscpu2fz59y 2 317033 2690533 2024-12-06T05:08:10Z Mqrs 2994625 Code 2690533 wikitext text/x-wiki 6q38qf9u66k86if36gk9dk7xsjd2gpw