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 12 1654 2690315 2690212 2024-12-04T23:07:11Z MathXplore 2888076 Reverted edits by [[Special:Contributions/38.158.204.171|38.158.204.171]] ([[User_talk:38.158.204.171|talk]]) to last version by [[User:Tule-hog|Tule-hog]] using [[Wikiversity:Rollback|rollback]] 2669079 wikitext text/x-wiki 704binq9suq44154o7ogeesmxblnhm3 4 1786 2690285 2690160 2024-12-04T16:58:21Z Atcovi 276019 /* Vandalism */ Reply 2690285 wikitext text/x-wiki c708cwaqfrv8omfozi2z5taixz9qsiu 2690286 2690285 2024-12-04T16:59:13Z Atcovi 276019 /* Vandal: User:Ceoalphonso */ Reply 2690286 wikitext text/x-wiki hy9im643ha1z2tf0wpw4e044xzyl0jc 10 3915 2690332 2666466 2024-12-05T03:21:10Z Atcovi 276019 fixing up red link 2690332 wikitext text/x-wiki qyyb5zuzadgtqfwik5poqfvjwum6psr 0 63210 2690269 2610925 2024-12-04T14:48:37Z 2003:E8:1731:F5B4:89BC:8779:A5ED:DCAA /* Advanced configuration */browser.tabs.insertAfterCurrent - This is essential. I always use it on desktop. I am surprised no setting exists for this on the graphical preferences menu. It makes browsing so much more comfortable. 2690269 wikitext text/x-wiki mhgsinmkpqx0zzu461gm05jj3gg2q44 3 106891 2690307 2687824 2024-12-04T20:40:47Z RockTransport 2992610 /* Page called Food Tests */ new section 2690307 wikitext text/x-wiki cut5d8ype5f2oujttwg5nro0clciofj 2690314 2690307 2024-12-04T23:06:54Z Atcovi 276019 /* Page called Food Tests */ Reply 2690314 wikitext text/x-wiki o4zgn6se13rvn4cez1xjwmf5t53d39y 2690316 2690314 2024-12-04T23:07:29Z Atcovi 276019 /* Page called Food Tests */ rewording 2690316 wikitext text/x-wiki fn1b6x4w13cy4e5gwoz6yqul2m7pyyt 2 136588 2690281 2529686 2024-12-04T16:29:42Z CommonsDelinker 9184 Removing [[:c:File:20040514_large_hail_5.25".jpg|20040514_large_hail_5.25".jpg]], it has been deleted from Commons by [[:c:User:Krd|Krd]] because: per [[:c:Commons:Deletion requests/File:20040514 large hail 5.25".jpg|]]. 2690281 wikitext text/x-wiki j5q3he4vpb4clrsh3n0psx760a835r0 0 139027 2690295 1659483 2024-12-04T19:11:41Z 69.85.234.247 /* Diagnosis */ 2690295 wikitext text/x-wiki ajnz3twqm02wx2o1mujhxb5fe5pcxi7 0 139384 2690272 2690076 2024-12-04T15:00:05Z Young1lim 21186 /* Adder */ 2690272 wikitext text/x-wiki htrnfjitpwlblz8q1wlzuexpnn3pzav 1 158983 2690344 2545827 2024-12-05T05:58:03Z Piotrus 571 /* Inconsistent capitalization of titles */ new section 2690344 wikitext text/x-wiki h3xwet7myi2vjzxkaxlp3nybdck6vui 0 163408 2690308 2093999 2024-12-04T20:42:55Z RockTransport 2992610 2690308 wikitext text/x-wiki 2e13bixlzlh0ksgelo8reh6w62tiif9 1 170731 2690309 2687815 2024-12-04T20:56:06Z Mikael Häggström 12130 /* Editorial board application of Luis Rafael Moscote-Salazar */ No response 2690309 wikitext text/x-wiki c7lr91pzjgn1zgb3zosv93d3q8ptc0p 0 171005 2690265 2690089 2024-12-04T14:41:39Z Young1lim 21186 /* Geometric Series Examples */ 2690265 wikitext text/x-wiki o52dyud99iyboqm8yiqv2wun4y1gp4m 2690275 2690265 2024-12-04T15:05:33Z Young1lim 21186 /* Geometric Series Examples */ 2690275 wikitext text/x-wiki f5s8c5r4v6u6rnmekwyvltzoqc9t5cz 0 212733 2690352 2690062 2024-12-05T11:05:43Z Young1lim 21186 /* Using Libraries */ 2690352 wikitext text/x-wiki b53d0h14wr0t1kwyb9nb19ofmxkwokl 2690354 2690352 2024-12-05T11:09:20Z Young1lim 21186 /* Using Libraries */ 2690354 wikitext text/x-wiki nw8og1ffdl6nfm8kbl3tf4yoqzwaup3 2690358 2690354 2024-12-05T11:20:04Z Young1lim 21186 /* Using Libraries */ 2690358 wikitext text/x-wiki 73ykkoqxhdkm00a4mogy0hzbnzaos6o 0 228630 2690263 2479567 2024-12-04T13:36:01Z 144.121.121.194 /* Fluid Friction */ 2690263 wikitext text/x-wiki jyy2qdedbkkf2d3na4rvzatiw0nd70m 1 228878 2690341 2687817 2024-12-05T05:53:41Z Piotrus 571 /* Editorial board application of Laura G. Campo */ 2690341 wikitext text/x-wiki gsn1z74ojr89saueufrypupni62ljku 2690342 2690341 2024-12-05T05:54:29Z Piotrus 571 /* Associate editor application of Taofeeq Idowu ABDULKAREEM */ 2690342 wikitext text/x-wiki cxb8jltxumy897my2d66ty1wyrouxng 2690343 2690342 2024-12-05T05:56:04Z Piotrus 571 /* Associate editor application of Sideeq Abubakar Galadima */ 2690343 wikitext text/x-wiki 8whhm233v8tdljg6lof4uhbvzhkw87g 2 234481 2690282 2460482 2024-12-04T16:29:54Z CommonsDelinker 9184 Removing [[:c:File:20040514_large_hail_5.25".jpg|20040514_large_hail_5.25".jpg]], it has been deleted from Commons by [[:c:User:Krd|Krd]] because: per [[:c:Commons:Deletion requests/File:20040514 large hail 5.25".jpg|]]. 2690282 wikitext text/x-wiki ge52az5rfjhvudz19p916t03zm0m4ha 2 240847 2690251 2689978 2024-12-04T12:55:28Z Jason M. C., Han 2696291 delete not relative picture 2690251 wikitext text/x-wiki cp8kanrhiqyq3sbisopwkh5oq2aogtj 2690255 2690251 2024-12-04T13:26:13Z Jason M. C., Han 2696291 Adding new life picture as musicality of piano 2690255 wikitext text/x-wiki rp55p1ja7tqwaqxue1mry9nf11ahcbq 10 242359 2690310 2636848 2024-12-04T21:19:23Z OhanaUnited 18921 clarifying the electorate due to confusion over who's eligible to vote 2690310 wikitext text/x-wiki or8cw17m205s5pco1gi8hj69gqsqutk 0 268969 2690268 2685482 2024-12-04T14:48:05Z Lbeaumont 278565 Added the German tank problem 2690268 wikitext text/x-wiki f933isszvz0y0szgvr3lep4ziwzo9il 0 271408 2690277 2687832 2024-12-04T15:42:54Z 82.219.7.128 /* Prokaryotic (bacterial) Cell */ 2690277 wikitext text/x-wiki 7nm9cn7kfx58hozkmfwxj2nwnrjqxqn 0 285380 2690270 2690085 2024-12-04T14:53:53Z Young1lim 21186 /* Applications */ 2690270 wikitext text/x-wiki jom25i0hjhjn3tva6mempvpp7ytipuw 0 285723 2690287 2689994 2024-12-04T17:44:46Z Scogdill 1331941 2690287 wikitext text/x-wiki 0xfxi5ug8t59cqpimv08tcvluy3lp8t 2690288 2690287 2024-12-04T17:47:00Z Scogdill 1331941 /* Hoops */ 2690288 wikitext text/x-wiki obfx9x5m1nl5zpn6i8lzr8c0kn5jtk6 2690304 2690288 2024-12-04T20:22:39Z Scogdill 1331941 /* Hoops */ 2690304 wikitext text/x-wiki 0eop5fasax0nln2f6580ya8x5okgfqm 2690305 2690304 2024-12-04T20:23:24Z Scogdill 1331941 /* Hoops */ 2690305 wikitext text/x-wiki tjnfpz1rud8i3j3lhawced5zqnpnggj 2690306 2690305 2024-12-04T20:28:53Z Scogdill 1331941 /* Hoops */ 2690306 wikitext text/x-wiki 2d6bnzq0h686akcm12pg8jai6idvdyf 2690311 2690306 2024-12-04T21:19:48Z Scogdill 1331941 /* Hoops */ 2690311 wikitext text/x-wiki drgw4jsvbv4mejft4t3ozf3eitn6a5i 2 286261 2690320 2647000 2024-12-04T23:20:46Z Jtneill 10242 /* Social contribution */ 2690320 wikitext text/x-wiki ildu7p5a3u7rvegmx0g95m2eb7wjek3 0 287787 2690278 2679340 2024-12-04T15:55:33Z Bocardodarapti 289675 2690278 wikitext text/x-wiki cj9omqbm4lqcn887winzsqtjfjatlmh 0 287793 2690279 2679343 2024-12-04T15:57:17Z Bocardodarapti 289675 2690279 wikitext text/x-wiki lbta98uq6eggjq5yj6agl9wtzphc2xx 0 287940 2690283 2436149 2024-12-04T16:30:06Z CommonsDelinker 9184 Removing [[:c:File:20040514_large_hail_5.25".jpg|20040514_large_hail_5.25".jpg]], it has been deleted from Commons by [[:c:User:Krd|Krd]] because: per [[:c:Commons:Deletion requests/File:20040514 large hail 5.25".jpg|]]. 2690283 wikitext text/x-wiki iudb0hdgh0u8la0b2jor7b1oh9xrgxm 0 293672 2690264 2680068 2024-12-04T13:36:04Z Bocardodarapti 289675 2690264 wikitext text/x-wiki 5vcxewiaph8lk17bu3gcn021zefp9v5 0 293675 2690249 2545775 2024-12-04T12:17:15Z Bocardodarapti 289675 2690249 wikitext text/x-wiki h0i1io7slvlp32vynrgm48lb5o72wi7 0 302470 2690351 2690233 2024-12-05T10:50:43Z ThaniosAkro 2805358 /* Implementation */ 2690351 wikitext text/x-wiki jhf4ur7ac7b8w7hsooeg9bfecv4w115 0 305362 2690335 2679936 2024-12-05T03:50:30Z Dc.samizdat 2856930 /* 6-cell rings */ fix incorrect description of fibrations, including which cell rings contain which great hexagons 2690335 wikitext text/x-wiki 6iy3a3o3f12no73b8kx0nhp51wclodp 2690336 2690335 2024-12-05T03:55:34Z Dc.samizdat 2856930 replace "interlocking" with "non-intersecting linked" in descriptions of fibrations 2690336 wikitext text/x-wiki iib3ualrmgdruk6saqthztxhrrvo4d4 0 305986 2690321 2690096 2024-12-05T00:33:33Z Jtneill 10242 Copyediting 2690321 wikitext text/x-wiki qlx5ueck3r730dbpnj9cv5cg9412tvv 1 307040 2690322 2684060 2024-12-05T00:34:10Z Jtneill 10242 Book chapter feedback 2690322 wikitext text/x-wiki c2fp2r7asz8ir7ub68vv5tmjn0omvlp 0 307962 2690312 2690176 2024-12-04T22:48:12Z Scogdill 1331941 2690312 wikitext text/x-wiki h7angmpuyw2wbludl7ws4r9ph66g88v 0 308349 2690250 2663014 2024-12-04T12:25:03Z Bocardodarapti 289675 2690250 wikitext text/x-wiki q65ja4or7qpmvfxpstr7viops5vgle7 0 309727 2690248 2675571 2024-12-04T12:07:43Z Bocardodarapti 289675 2690248 wikitext text/x-wiki 60jficjdozygh913nc2f5iktk2mjuom 0 310523 2690252 2672050 2024-12-04T13:18:35Z Bocardodarapti 289675 2690252 wikitext text/x-wiki i2p9o9uw276v6cwlqg2if6jcc7ljh0t 0 310605 2690317 2688243 2024-12-04T23:09:11Z Atcovi 276019 declined, see here: https://en.wikiversity.org/wiki/Talk:Institute_for_Mental_and_Behavioral_Health_Research_(IMBHR)_at_Nationwide_Children%27s_Hospital#Please_do_not_speedy_delete! 2690317 wikitext text/x-wiki 7pezxnzd7tgehsme2a0qb1kzcnsym68 0 310617 2690319 2688265 2024-12-04T23:09:26Z Atcovi 276019 declined, see here: https://en.wikiversity.org/wiki/Talk:Institute_for_Mental_and_Behavioral_Health_Research_(IMBHR)_at_Nationwide_Children%27s_Hospital#Please_do_not_speedy_delete! 2690319 wikitext text/x-wiki m8yy7t4l5tnln6sxs69sp576yf00onv 0 312253 2690318 2688264 2024-12-04T23:09:19Z Atcovi 276019 declined, see here: https://en.wikiversity.org/wiki/Talk:Institute_for_Mental_and_Behavioral_Health_Research_(IMBHR)_at_Nationwide_Children%27s_Hospital#Please_do_not_speedy_delete! 2690318 wikitext text/x-wiki 1xwbjg71hsbjkwf3ym61rkw9nviqvwp 0 313222 2690257 2675562 2024-12-04T13:27:22Z Bocardodarapti 289675 2690257 wikitext text/x-wiki 1h4k050phcezcgzhq54b366op9cyi8c 0 313225 2690259 2675566 2024-12-04T13:27:49Z Bocardodarapti 289675 2690259 wikitext text/x-wiki ccyjbjmijirl1gc5p2pb452uk4yt18j 0 313226 2690260 2675567 2024-12-04T13:28:09Z Bocardodarapti 289675 2690260 wikitext text/x-wiki nvicj56lytzoul5k1v4fvm8dl928zys 0 313228 2690258 2675569 2024-12-04T13:27:32Z Bocardodarapti 289675 2690258 wikitext text/x-wiki 1txhiq8k8qov81tjxmzu6nn7l3pjfbl 0 313450 2690261 2676024 2024-12-04T13:30:59Z Bocardodarapti 289675 2690261 wikitext text/x-wiki gr812w0rs3bzxrtmekutaulqmnf2w5r 2 313557 2690323 2679945 2024-12-05T01:12:08Z Dc.samizdat 2856930 /* 6-cell rings */ fix description of which great hexagons occur in which 6-cell rings in which fibrations 2690323 wikitext text/x-wiki 413ndj9yboq52lpvk8qn1a6p033t8cl 2690324 2690323 2024-12-05T01:34:56Z Dc.samizdat 2856930 /* 6-cell rings */ fix description of which hexagons occur in which cell rings 2690324 wikitext text/x-wiki hrlcx5ysz6mrfh60m3996wcs5id4yr0 2690333 2690324 2024-12-05T03:40:01Z Dc.samizdat 2856930 /* 6-cell rings */ 2690333 wikitext text/x-wiki qre0sfgg8j4azoztpjbfz5euk6zcw8p 2690334 2690333 2024-12-05T03:43:36Z Dc.samizdat 2856930 /* 6-cell rings */ 2690334 wikitext text/x-wiki 30dclxr2lrcyzsimzr5hp275usgg2zv 2 316552 2690326 2690204 2024-12-05T02:21:40Z Jaredscribe 2906761 /* CFPB */ 2690326 wikitext text/x-wiki o3igzrsnvnozqyo3130xwmx1eq4rg3j 2690327 2690326 2024-12-05T02:27:18Z Jaredscribe 2906761 /* OMB */ Mssrs. Musk and Ramaswamy encouraged President-elect Trump to reappoint his first term director Russell Vought, which he did on 22nd Nov.[1] 2690327 wikitext text/x-wiki pt9284ck8s4daa9yla8tcmkeu5phk2g 2690328 2690327 2024-12-05T02:33:36Z Jaredscribe 2906761 /* Deregulate the Economy */ 2690328 wikitext text/x-wiki 59hcsx7ztotpp1ghbpmbkx9cf0bu8hv 2690329 2690328 2024-12-05T02:36:46Z Jaredscribe 2906761 /* Deregulate the Economy */ 2690329 wikitext text/x-wiki 39og2bfg2ullxrw8t2bow57n2cbacbr 2690330 2690329 2024-12-05T02:44:46Z Jaredscribe 2906761 2690330 wikitext text/x-wiki ayjedxk2l5apx5w54jeidudjo5vpe5v 2690331 2690330 2024-12-05T02:47:14Z Jaredscribe 2906761 2690331 wikitext text/x-wiki 59dtd67bou8lao5u0ry96u8z5g5cmcz 0 316762 2690325 2689240 2024-12-05T01:59:10Z DavidMCEddy 218607 add video 2690325 wikitext text/x-wiki 9qyjzwyw8cjds6fnn5d7yda6bgax12n 0 316860 2690340 2689692 2024-12-05T04:01:57Z JackBot 238563 Bot: Fixing double redirect to [[The Varanasi Heritage Dossier/Khori (Sarveshvara) Ghat]] 2690340 wikitext text/x-wiki 8yx66vbsaovi9wad0smyzchp5go0gr5 0 316866 2690338 2689723 2024-12-05T04:01:56Z JackBot 238563 Bot: Fixing double redirect to [[The Varanasi Heritage Dossier/Darbhanga Ghat]] 2690338 wikitext text/x-wiki f592fabzj6hb9bfkmz3qcwxlyglzc6a 0 316871 2690339 2689746 2024-12-05T04:01:57Z JackBot 238563 Bot: Fixing double redirect to [[The Varanasi Heritage Dossier/Jalashayi (Jalasen) Ghat]] 2690339 wikitext text/x-wiki 1e81dbjb2u39nvgog22f3qagy9hk02l 0 316888 2690337 2689846 2024-12-05T04:01:56Z JackBot 238563 Bot: Fixing double redirect to [[The Varanasi Heritage Dossier/Bundi Parkota Ghat]] 2690337 wikitext text/x-wiki 9u5aixcar176hu9hppzfa8voboz19ow 0 316906 2690302 2690201 2024-12-04T19:49:51Z Atcovi 276019 /* Module 14.3 - Organizational Development & Change (slide 28) */ 2690302 wikitext text/x-wiki 602q72ug6zl8rpgwfclm21j53rjysn7 2690303 2690302 2024-12-04T19:50:06Z Atcovi 276019 removing slide notice 2690303 wikitext text/x-wiki t3zea18eogfwegcr7pzbnzk09gdev7m 0 316951 2690313 2690223 2024-12-04T23:06:53Z MathXplore 2888076 Added {{[[Template:BookCat|BookCat]]}} using [[User:1234qwer1234qwer4/BookCat.js|BookCat.js]] 2690313 wikitext text/x-wiki jtsgmhzp2iwmvrfyq0axdxnl956bo62 0 316954 2690253 2024-12-04T13:20:57Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Exercise{{{opt|}}} |Text= Let {{mat|term= M |}} denote an {{ Definitionlink |invertible| |Context=matrix| }} {{ Definitionlink |upper triangular matrix| |pm=. }} Show that the {{ Definitionlink |inverse matrix| }} {{mat|term= M^{-1} |}} is also an upper triangular matrix. |Textform=Exercise |Category= }}" 2690253 wikitext text/x-wiki i76bk9os57tu3welrhz4wj43nizsxk0 0 316955 2690254 2024-12-04T13:21:48Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Exercise{{{opt|}}} |Text= Let {{mat|term= M |}} denote an {{ Definitionlink |invertible| |Context=matrix| }} {{ Definitionlink |upper triangular matrix| |pm=. }} Show that the diagonal elements of {{mat|term= M |pm=}} are not {{mat|term= 0 |pm=.}} |Textform=Exercise |Category= }}" 2690254 wikitext text/x-wiki dqgqlkv2dheoci6g13f3k43cdbyvk3s 0 316956 2690256 2024-12-04T13:26:40Z Bocardodarapti 289675 New resource with "{{Number in course{{{opt|}}}|Exercise|12|6}}" 2690256 wikitext text/x-wiki 3qhpxvrcxdyk0w8nxhm8w9ytnbwgjdi 6 316958 2690266 2024-12-04T14:42:30Z Young1lim 21186 {{Information |Description=Laurent.5: Permutation 6B (20241204 - 20241203) |Source={{own|Young1lim}} |Date=2024-12-04 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690266 wikitext text/x-wiki g7we6mm69yoda24u5kcx4054n6lvtj8 2690273 2690266 2024-12-04T15:00:49Z Young1lim 21186 /* Summary */ 2690273 wikitext text/x-wiki k5t7rim5k8cvdv31tt93wxt5p7w0haa 0 316959 2690267 2024-12-04T14:47:34Z Lbeaumont 278565 Created the adventure 2690267 wikitext text/x-wiki ddxxyiw993l0woonsshsbjbth7pb5ko 6 316960 2690271 2024-12-04T14:54:55Z Young1lim 21186 {{Information |Description=C04.SA0: Address-of and de-reference operators 1A (20241204 - 20241203) |Source={{own|Young1lim}} |Date=2024-12-04 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690271 wikitext text/x-wiki 841zbzr32q34dm3g7etcitafwtrv8iq 6 316961 2690274 2024-12-04T15:04:44Z Young1lim 21186 {{Information |Description=VLSI.Arith: Carry Skip Adders 1A (20241204 - 20241203) |Source={{own|Young1lim}} |Date=2024-12-04 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690274 wikitext text/x-wiki 4hkbd0xtk12rq6kl2m9fyr2ndnlso4r 6 316962 2690276 2024-12-04T15:07:01Z Young1lim 21186 {{Information |Description=Laurent.5: Permutations 6B (20241204-1 - 20241203) |Source={{own|Young1lim}} |Date=2024-12-04 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2690276 wikitext text/x-wiki 5y9x42ces8qz6pqiauhvuax9jexljaz 0 316963 2690280 2024-12-04T16:14:52Z 82.219.7.128 New resource with "Food tests are tests for different biological molecules (food groups). Examples of food groups include protein, carbohydrates and starch. == Testing for Starch (experiment) == Iodine is used to test for starch in food products. This test involves different types of foods, which include pasta, biscuits, crisps, cereal hoops, salt, mustard powder and sugar, though any types of food will work in this experiment. === Safety Precautions: === Iodine is very toxic to aquatic..." 2690280 wikitext text/x-wiki e9xdb9r62oroqsciqrkyyf3nlbfjwg9 2690284 2690280 2024-12-04T16:55:57Z Atcovi 276019 PROD 2690284 wikitext text/x-wiki p9txs4vrvksmhip8ww0heqatjv8gj9f 2690349 2690284 2024-12-05T08:33:56Z 82.219.7.128 2690349 wikitext text/x-wiki nw6h04cxmnnsqc1wbj1brtoedzilwh8 2690350 2690349 2024-12-05T08:41:54Z 82.219.7.128 2690350 wikitext text/x-wiki sy5p3axmdhzvevq1zr21qwen5sjuuly 0 316964 2690289 2024-12-04T18:52:34Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= The {{ Definitionlink |subgroups| |pm= }} of the integers are of the form{{{extra1|}}} {{ Mathcor|term1= \Z n |with|term2= n \geq 0 |pm=, }} due to {{ Factlink |Factname= Subgroups of Z/One generator/Fact |Nr= |pm=. }} The {{ Definitionlink |factor group| |pm= }} are denoted by {{ Math/display|term= {{op:Zmod|n|}} |pm= }} {{ Extra/Bracket |text={{Quotation2|{{mat|term= \Z |pm=}} modulo {{mat|term= n |pm=}}|}}| |pm=. }} For {{ Relat..." 2690289 wikitext text/x-wiki l6pzcnoegas9w8t8ct4jtx8otqwsnax 0 316965 2690290 2024-12-04T18:57:10Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= Let {{mat|term= G |pm=}} be a {{ Definitionlink |group| |pm=, }} and let {{ Relationchain |H |\subseteq|G || || || |pm= }} denote a {{ Definitionlink |subgroup| |pm=. }} {{mat|term= H |pm=}} is called a {{Word of definition|normal subgroup|pm=}} if {{ Relationchain/display | xH ||Hx || || || |pm= }} holds for all {{ Relationchain | x |\in| G || || || |pm=, }} that is, if every {{ Definitionlink |left coset| |pm= }} of {{mat|term=..." 2690290 wikitext text/x-wiki 7fh35wdov64knifvb94hf6zmrg9nc4h 0 316966 2690291 2024-12-04T19:00:42Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation={{:Subgroup/Situation|pm=.}} |Condition= |Segue= |Conclusion= Then the following statements are equivalent. {{ Enumeration3 |{{mat|term= H |pm=}} is a {{ Definitionlink |normal subgroup| |pm= }} of {{mat|term= G |pm=.}} |We have {{ Relationchain | xhx^{-1} |\in| H || || || |pm= }} for all {{ Mathcor|term1= x \in G |and|term2= h \in H |pm=. }} |{{mat|term= H |pm=}} is invariant under every {{ Definitionlink..." 2690291 wikitext text/x-wiki h5z06jz8c22brfhu1su4jna9g8riqu1 0 316967 2690292 2024-12-04T19:03:41Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= (1) means for given {{ Relationchain | h |\in| H || || || |pm= }} that we can write {{ Relationchain | xh ||\tilde{h}x || || || |pm= }} with some {{ Relationchain | \tilde{h} |\in| H || || || |pm= }}. Multiplication by {{mat|term= x^{-1} |pm=}} from the right yields {{ Relationchain |xhx^{-1} ||\tilde{h} |\in|H || || |pm=; }} therefore, {{mat|term= (2) |pm=}} holds. Reading this argume..." 2690292 wikitext text/x-wiki so05uf7zg91mk3k0i0dvqea0cdk9w52 0 316968 2690293 2024-12-04T19:09:39Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Example |Text= We consider the {{ Definitionlink |permutation group| |Context=| |pm= }} {{ Relationchain |G ||S_3 || || || |pm= }} for a set with three elements, that is, {{mat|term= S_3 |pm=}} consists of all bijective mappings of the set {{mathl|term= \{1,2,3\} |pm=}} to itself. The trivial group {{mat|term= \{ \operatorname{id} \} |pm=}} and the whole group are {{ Definitionlink |normal subgroups| |pm=. }} The subset {{ Relationchain |H || \{ \..." 2690293 wikitext text/x-wiki tjbi528egt6di3le77enlv3u89og81h 0 316969 2690294 2024-12-04T19:11:36Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation={{:Group homomorphism/Situation|pm=.}} |Condition= |Segue= |Conclusion= Then the {{ Definitionlink |kernel| |Context=group |pm= }} {{mathl|term= {{op:Kern| \varphi |}} |pm=}} is a {{ Definitionlink |normal subgroup| |pm= }} in {{mat|term= G |pm=.}} |Extra= }} |Textform=Fact |Category= |Factname= |Request=Kernel of a group homomorphism is ... }}" 2690294 wikitext text/x-wiki polewk8i6kfghqhj48vcjlnvot8azhe 0 316970 2690296 2024-12-04T19:15:25Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= By {{ Factlink |Factname= Group homomorphism/Kernel/Subgroup/Fact |Nr= |pm=, }} we know that the kernel is a {{ Definitionlink |Premath= |subgroup| |Context=| |pm=. }} We use {{ Factlink |Factname= Normal subgroup/Characterization/Fact |pm=. }} Hence, let {{ Relationchain | x |\in| G || || || |pm= }} be arbitrary, and {{ Relationchain | h |\in| {{op:Kern|\varphi|}} || || || |pm=. }} The..." 2690296 wikitext text/x-wiki psn6haas1py961ez5lrr4pcejlfx9fc 0 316971 2690297 2024-12-04T19:22:03Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Fact |Text= {{ Factstructure |Situation={{:Normal subgroup/Situation|pm=.|}} Let {{mathl|term= G/H |pm=}} be the set of all {{ Definitionlink |cosets| |pm= }} {{ Extra/Bracket |text=the quotient set| |pm=, }} and let {{Mapping/display |name=q | G | G/H | g | [g] |pm=, }} denote the {{ Definitionlink |canonical projection| |pm=. }} |Condition= |Segue= |Conclusion= Then there exists a uniquely determined group structure on {{mathl|term= G/H |pm=}} su..." 2690297 wikitext text/x-wiki gkrgeme64k6qvwvytdpn0cvwtaf7oab 0 316972 2690298 2024-12-04T19:23:35Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Situation{{{opt|}}} |Text= Let {{mat|term={{{G|G}}} |}} be a {{ Definitionlink |group| |pm=, }} and let {{ Vergleichskette | {{{H|H}}} |\subseteq| {{{G|G}}} || || || }} be a {{ Definitionslink |normal subgroup| |pm={{{pm|}}}}} |Textform=Situation |}}" 2690298 wikitext text/x-wiki q0mr1pxhh6dhxxe6kuaajbvyzxoxwsz 2690299 2690298 2024-12-04T19:23:51Z Bocardodarapti 289675 2690299 wikitext text/x-wiki s84r0aqcu200m8nz1ihc4hy6o057191 0 316973 2690300 2024-12-04T19:33:13Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Proof |Text= {{ Proofstructure |Strategy= |Notation= |Proof= Since the canonical projection shall be a group homomorphism, the operation must fulfill {{ Relationchain/display | [x] [y] || [xy] || || || |pm=. }} We have to show that this rule gives a well-defined operation on {{mathl|term= G/H|pm=,}} that is, is independent of the choice of representatives. Hence, we have to show for {{ mathcor|term1= [x] {{=|}} [x'] |and|term2= [y]{{=|}}[y'] |pm= }}..." 2690300 wikitext text/x-wiki mzsofnqwx2cb1xathtjqy139kscrpg9 0 316974 2690301 2024-12-04T19:39:14Z Bocardodarapti 289675 New resource with "{{ Mathematical text/Definition |Text= {{:Normal subgroup/Situation|pm=.}} The {{ Definitionlink |quotient set| |pm= }} {{ Math/display|term= G/H |pm=, }} endowed with the {{ Extra/Bracket |text=according to {{ Factlink |Factname= Group/Normal subgroup/Residue class group/Fact |pm= }}| |Ipm=|Epm= }} uniquely determined group structure, is called the {{Word of definition|factor group of |pm=}} {{mat|term= G |pm=}} {{Word of definition|modulo|pm=}} {{mat|term= H |pm=.}} T..." 2690301 wikitext text/x-wiki sw86roqu0kzz64w484p8ywlwlyl3mf3 2 316975 2690345 2024-12-05T07:09:45Z RockTransport 2992610 New resource with "{{User British Citizen}}" 2690345 wikitext text/x-wiki oygivamrnxw6sjx7m55gaufhi7jd1yq 2690346 2690345 2024-12-05T07:14:24Z RockTransport 2992610 2690346 wikitext text/x-wiki a9busnrsg63afuvtfh5dwm3rcnn9so7 0 316976 2690347 2024-12-05T08:24:32Z Chair-x86 2994439 New resource with " Just like how C is compatible with C++, Assembly is compatible with C. Though unlike the C-C++ relation, C actually almost IS assembly. Whenever you compile C code the compiler first turns it into a intermediate language and then turns that intermediate language into assembly based on you system details. The assembly code later gets assembled and linked to become the actual binary file. So this mainly means two things: # you can generate assembly code from C code. # C..." 2690347 wikitext text/x-wiki logilnslprjlfalyugoo8zjau6q7fa8 2690348 2690347 2024-12-05T08:25:49Z Chair-x86 2994439 2690348 wikitext text/x-wiki mr4yvba5b4uqbjjcp14gum4rbbq9epn 6 316977 2690353 2024-12-05T11:09:03Z Young1lim 21186 {{Information |Description=Work2.1A: Packages (20241203 - 20241202) |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}} }} 2690353 wikitext text/x-wiki d5iu2fkctq1p0grnyv6oubq57meg098 6 316978 2690355 2024-12-05T11:09:44Z Young1lim 21186 {{Information |Description=Work2.1A: Packages (20241204 - 20241203) |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}} }} 2690355 wikitext text/x-wiki 45ggxv8c5zrndqd11yawglyfwc0pbex 2690356 2690355 2024-12-05T11:18:55Z Young1lim 21186 Young1lim uploaded a new version of [[File:Python.Work2.Package.1A.20241204.pdf]] 2690355 wikitext text/x-wiki 45ggxv8c5zrndqd11yawglyfwc0pbex 2690357 2690356 2024-12-05T11:19:47Z Young1lim 21186 Young1lim uploaded a new version of [[File:Python.Work2.Package.1A.20241204.pdf]] 2690355 wikitext text/x-wiki 45ggxv8c5zrndqd11yawglyfwc0pbex 6 316979 2690359 2024-12-05T11:20:30Z Young1lim 21186 {{Information |Description=Work2.1A: Packages (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}} }} 2690359 wikitext text/x-wiki qne3h8rlnvierfvke0jgxp8tt50s9d9 0 316980 2690360 2024-12-05T11:38:15Z Bocardodarapti 289675 New resource with " {{Subtitle|Homomorphism theorems}} {{:Group theory/Homomorphism theorems/Examples/Section}} {{ inputfactproof |Group theory/Isomorphy theorem for residue class groups/Fact|Theorem|| }} In short, we have {{ Relationchain/display | G/H || (G/N)/(H/N) || || || |pm=. }} {{Subtitle|Residue class rings}} On the residue class group for a normal subgroup in a group, there are quite often additional structures available, if the group and the normal subgroup fulfill certain..." 2690360 wikitext text/x-wiki bgv194448258tooowxiob6l8fnokezw 0 316981 2690361 2024-12-05T11:52:21Z Bocardodarapti 289675 New resource with "{{ Mathematical section{{{opt|}}} |Content= {{ inputfactproof |Group homomorphism/Homomorphism theorem/Surjective and kernel/Fact|Theorem|| }} {{ inputexample |Group homomorphism/Homomorphism theorem/Residue class groups of Z/Example|| }} The mapping constructed in this theorem is called {{Word of definition|induced mapping|pm=}} or {{Word of definition|induced homomorphism|pm=,}} and the theorem is called the {{Keyword|theorem about the induced homomorphism|pm=.}} {{..." 2690361 wikitext text/x-wiki l27fyaalucgqa78d1cgjfprz0hsbyxv