437:
427:
406:
162:
85:
818:
64:
33:
2028:(the grammar there isn't even a regular one). I guess you suggest to replace this exmaple by a simpler one; and I agree with that. What about e.g. floating point numbers, integer numbers, or identifiers in some fixed programming language, or password rules (like "at least an upper case, a lower case letter, a digit, and a punctuation char must occur")? The available images at
2102:
1961:
850:
transition for each pair of states and inputs. The definition for NFA only addresses the case of a single input leading to multiple, different states. What about the case where an input leads off to a "dummy state" that just loops back to itself on every input? If we just eliminate the dummy state
808:
The section on regular language is the best place to parse this. The * is the Kleene Star mentioned in that article. So 1* is the set { epsilon, 1, 11, 111, 1111...) The Kleene star operator over a number of the alphabet symbols such as (01)* is the set { epsilon, 01, 0101, 010101...) Essentially it
2023:
Ooops! I found the sentence "... decides whether or not online user input such as email addresses are valid", and just inserted "syntactically" to indicate that no automaton can check whether a specified mailbox actually exists at the provider site. I wasn't aware of the complexity of address rules
2050:
Identifiers in C are probably a nice example since you have a small alphabet (letters, digits, underscore). Password rules ("at least an upper case, a lower case letter, a digit, and a punctuation char must occur"), while simple to describe textually, would probably already be too big. (I think you
1461:
I've removed the "Accept and
Generate Modes" section on that grounds that it's original research by a defunct user. A search through my textbooks, university library search engine and Google didn't reveal anyone else who's talking about generate modes for DFAs. Even if that section isn't original
884:
Missing paths are no big deal; the definition of what it means to run such an automaton will most likely say that if a path is missing, the automaton immediately halts (this can be simulated by adding an extra state and a new path to this state for each missing path in the original automaton). So
183:
2129:
It should be mentioned in this article that several transitions labeled with different input symbols leading from state A to state B can be combined into one transition to display the diagram in a simplified way. Technically, however, they are separate transitions, of course.
992:(NFAs). This is because, firstly any DFA is also an NFA, so an NFA can do what a DFA can do. Also, given an NFA, one can build a DFA that recognizes the same language as the NFA, although the DFA could have exponentially larger number of states than the NFA.
2077:
Isn't the description wrong? I understand the sentence to mean that each state must have a transition and the automaton must have a transition for each input symbol, but as far as I know, each state must have a transition for each input symbol.
747:
i m a student of computer science engineering and for me automata theory and formal languages is a very new subject. i m not being able to get hold of the subject properly. i cannot understand the subject. please suggest somthing.
1515:
says "A local automaton is a DFA for which all edges with the same label lead to a single vertex." I suggest adding "not necessarily complete" before "DFA". If we require the DFA to be complete as specified in
1481:
The description of classifiers claims that a classifier has "has more than two terminal states", which seems to imply that a DFA cannot have more than two terminal states. Should this be "more than two
673:
1168:
Many simple languages, including any problem that requires more than constant space to solve, cannot be recognized by a DFA. Another simpler example is the language consisting of strings of the form
2109:
The old description is ok (if read as "given a state and an input symbol, a transition on them is defined"), but apparently can be misleading; your suggestion is more clear, so I changed the text. -
1944:
931:
1407:
554:
Thanks
Jaredwf Just a stupid question though - Finite State Machine says that it is related to 'computer science', while DFST points to 'Theory of computing'. Is this as it should be? Thanks!
207:
493:
1943:) has a proof that every local language is accepted by a local automaton (Proposition 2.1). Immediately before that, its definition of local automaton includes "not necessarily complete".
347:
1992:
as an application for deterministic finite automata. I am not sure if this is supposed to be an in-joke: the syntax and grammar of email addresses at least as defined by the original
515:
I have rewritten the intro and added the section "Accept and
Generate modes", both of which aim to be a non-technical introduction. Is this sufficient to remove the technical flag?
1996:
is quite complex, and using DFAs (at least in the form of regular expressions) is kind of seen as an anti-pattern, at least as far as I understand it. See e.g. the discussion at
1968:
I believe you are right. Although every DFA can be made complete by adding an "error" state, completing a local DFA will destroy locality. Also, your proof looks convincing. -
264:
202:
791:
Can someone please explain the following entry in the article more. Now sure what this exactly is in relation to FSM (the article on regular language is just as perplexing).
1722:
2187:
1486:
of terminal states"? A DFA can obviously have three terminal states, but just two classes (accept and reject). This is not clear from the current wording on classifiers.
125:
1690:
135:
1575:
868:
pair of states and inputs should have exactly one transition. As I understand it, missing transitions are unacceptable for a DFA, and hence would be classes as an NFA.
1894:
1868:
1598:
2192:
2182:
1934:
1914:
1842:
1822:
1802:
1782:
1762:
1742:
1658:
1638:
1618:
1541:
732:
Done. I have at least two books that use this format, so I went ahead and made the change. If anyone disagrees, please comment here and let me know. Thanks!
2029:
2001:
1103:– These are more popular names of the automata theory concepts. Even within the articles the objects are referred as (non)deterministic finite automaton.
101:
2202:
483:
309:
2197:
2074:
According to the above definition, deterministic finite automata are always complete: they define a transition for each state and each input symbol.
952:
In the section "Advantages and
Disadvantages", the example discribes the "bracket" language - i.e. properly paired brackets. This is not formally
283:
459:
148:
92:
69:
2154:
I agree that this should be explained somewhere. Unfortunately, diagram notation isn't explained at all in this article. Instead it links to
1493:
1093:
372:
2140:
2085:
755:
255:
534:
To what field of human endeavor does this relate? Could someone put an introductory sentance in
English for the rest of us? Thanks! ;)
1948:
1084:
935:
1097:
450:
411:
236:
2158:
which handles the huge amount of existing variants; thus is is not that easy to find the right place to insert your information. -
1939:
I have not checked the references in this section to see how they define DFA. "Local languages and the Berry-Sethi algorithm" (at
1025:
Have added this. Also made some small changes in the wording for union/intersection/complement at the beginning of this section.
989:
328:
621:
1517:
1512:
1161:
1088:
597:
1467:
851:
and any inputs leading to it, does the diagram still represent a DFA? If not, is it an NFA? Or something else? Thanks,
293:
174:
44:
1145:
Subsequent comments should be made in a new section on this talk page. No further edits should be made to this section.
1057:
Subsequent comments should be made in a new section on the talk page. No further edits should be made to this section.
303:
217:
1355:
2163:
2114:
2037:
1973:
338:
100:
related articles on
Knowledge. If you would like to participate, please visit the project page, where you can join
1497:
825:
365:
1463:
1108:
1015:
975:
759:
2144:
2089:
1030:
997:
961:
32:
829:
17:
2134:
1435:
I thought so, but the wording was not clear, so I changed it (adding "arbitrary" to indicate an unbounded
520:
2159:
2110:
2033:
1969:
1422:
1007:
737:
569:
274:
50:
1329:. Granted, it will take a large number of states (perhaps on the order of 2?) to embed the counting of
885:
long as there are never two paths on the same state/input pair, the automaton is deterministic. — Carl
436:
1489:
1444:
1342:
1070:
751:
585:
565:
516:
1104:
1026:
1011:
993:
971:
957:
2052:
2009:
458:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
2025:
1997:
1417:≥0) and I think it does so. This is not a regular language, and cannot be recognised by a DFA.
1325:
is limited to a specific finite number, it looks like a DFA can indeed be built for the language
800:
593:
555:
535:
442:
1695:
426:
405:
2056:
2013:
1462:
research, we should consider whether it lends undue weight to a rarely-discussed type of DFA.
193:
1663:
794:
The language of M can be described by the regular language given by this regular expression:
2167:
2148:
2118:
2093:
2060:
2041:
2017:
1977:
1952:
1546:
1501:
1471:
1448:
1426:
1418:
1346:
1127:
1112:
1074:
1034:
1019:
1001:
979:
965:
939:
915:
897:
877:
855:
836:
803:
781:
778:
763:
741:
733:
727:
682:
601:
576:
558:
548:
538:
524:
245:
97:
1440:
1338:
1066:
873:
615:
1873:
1847:
2005:
1620:
is a complete DFA in which all edges with the same label lead to a single vertex, then
1580:
1123:
319:
161:
1919:
1899:
1827:
1807:
1787:
1767:
1747:
1727:
1643:
1623:
1603:
1526:
184:
Requested articles/Applied arts and sciences/Computer science, computing, and
Internet
2176:
2155:
1989:
892:
833:
589:
1136:
1048:
911:
852:
679:
573:
545:
2081:
My suggestion: "they define from each state a transition for each input symbol."
581:
Both are correct! Theory of
Computation is a subdicipline of Computer Science.
572:, since theory of computation is a more exact answer. Thanks for noticing. --
455:
817:
1940:
869:
724:
432:
956:, as stated, but "Strings whose each prefix has more or equal a's than b's"
696:
226:
1520:, then it is not true that local automata can accept all local languages.
84:
63:
777:. Other articles reference FSMs without the presumption of determinism. --
888:
1337:'s, but it still seems possible. Or did I miss something in the text? —
1006:
Your suggestion is good. Please add it yourself. I also suggest to cite
614:
The symbols used to describe the 5-tuple are inconsistent with those in
2135:
https://www.cs.toronto.edu/~amir/teaching/csc236f15/materials/lec10.pdf
1993:
926:
It should be made clear that if a path is missing, the automaton halts
907:
1184:
I don't think that is correct. Consider the following state diagram:
720:
1409:
which has infinitely many words (indeed, exactly one of length 2
302:
Find pictures for the biographies of computer scientists (see
26:
2002:
How to validate an email address using a regular expression?
816:
1988:
The lead section mentions recognizing syntactically valid
668:{\displaystyle \langle Q,\Sigma ,\delta ,q_{0},F\rangle }
1047:
The following discussion is an archived discussion of a
970:
You are correct. It is bad language. Let me try a fix. (
1896:, so it either accepts both or rejects both. Therefore
2000:
here on
Knowledge and the top answer to the question "
1010:
page for the algorithm that translates NFA into DFA. (
906:
I just added a new section to mention the difference.
1922:
1902:
1876:
1850:
1830:
1810:
1790:
1770:
1750:
1730:
1698:
1666:
1646:
1626:
1606:
1583:
1549:
1529:
1358:
1135:
The above discussion is preserved as an archive of a
624:
2030:
commons:Category:Deterministic finite state automata
864:: The description may be slightly ambiguous in that
454:, a collaborative effort to improve the coverage of
96:, a collaborative effort to improve the coverage of
846:The definition for DFA states that there should be
1928:
1908:
1888:
1862:
1836:
1816:
1796:
1776:
1756:
1736:
1716:
1684:
1652:
1632:
1612:
1592:
1569:
1535:
1401:
667:
208:Computer science articles needing expert attention
1352:The wording is intended to describe the language
809:means none, one, or more of the items repeating.
2026:Talk:Email_address#Complexity_of_email_addresses
1998:Talk:Email address#Complexity of email addresses
1518:Deterministic_finite_automaton#Formal_definition
1402:{\displaystyle \{a^{n}b^{n}:n\in \mathbf {N} \}}
985:Thank you. It looks better now. Also I suggest:
544:Doesn't everyone know automata theory? :-) --
1166:
348:WikiProject Computer science/Unreferenced BLPs
1513:Deterministic_finite_automaton#Local_automata
8:
1396:
1359:
828:so that it renders again. It's intended for
691:. Me too. We should make this change. Using
662:
625:
2051:need at least 1 + 4 + 6 + 4 + 1 states?) –
2032:are not too convincing for that purpose. -
1941:https://www.irif.fr/~jep/PDF/BerrySethi.pdf
1457:Removed "Accept and Generate Modes" section
265:Computer science articles without infoboxes
203:Computer science articles needing attention
30:
18:Talk:Read-only right moving Turing machines
1487:
988:DFAs are equivalent in computing power to
400:
169:Here are some tasks awaiting attention:
143:
58:
2188:High-importance Computer science articles
1921:
1901:
1875:
1849:
1829:
1809:
1789:
1769:
1749:
1729:
1697:
1665:
1645:
1625:
1605:
1582:
1550:
1548:
1528:
1523:For example, consider the local language
1391:
1376:
1366:
1357:
675:? My textbook also uses these notations.
650:
623:
402:
60:
1945:2600:1700:6EC0:35C0:D5F2:3A1:B655:C5F7
932:2600:1700:6EC0:35C0:D5F2:3A1:B655:C5F7
110:Knowledge:WikiProject Computer science
2193:WikiProject Computer science articles
2183:Start-Class Computer science articles
1094:Nondeterministic finite-state machine
113:Template:WikiProject Computer science
7:
1062:The result of the move request was:
842:Missing paths - still deterministic?
787:Regular languages in relation to FSM
448:This article is within the scope of
90:This article is within the scope of
1176:'s, followed by an equal number of
49:It is of interest to the following
1085:Deterministic finite-state machine
634:
284:Timeline of computing 2020–present
25:
2203:Mid-priority mathematics articles
2125:Simplified diagram representation
2069:Section "Complete and incomplete"
1984:Recognizing valid email addresses
1098:Nondeterministic finite automaton
824:I've just fixed up the DFA image
468:Knowledge:WikiProject Mathematics
310:Computing articles needing images
2198:Start-Class mathematics articles
2100:
1959:
1916:is not the language accepted by
1640:is not the language accepted by
1392:
990:nondeterministic finite automata
471:Template:WikiProject Mathematics
435:
425:
404:
160:
83:
62:
31:
1764:such that all edges with label
488:This article has been rated as
130:This article has been rated as
1089:Deterministic finite automaton
678:I'm in favor of this change.
602:09:36, 16 September 2009 (UTC)
1:
1978:17:10, 5 September 2020 (UTC)
1953:22:12, 4 September 2020 (UTC)
1543:consisting of all strings on
1508:Definition of local automaton
1128:20:37, 25 November 2011 (UTC)
1113:15:04, 25 November 2011 (UTC)
940:22:26, 4 September 2020 (UTC)
916:09:47, 11 November 2015 (UTC)
898:03:21, 23 December 2007 (UTC)
878:03:05, 23 December 2007 (UTC)
742:00:01, 11 December 2008 (UTC)
683:06:47, 11 November 2005 (UTC)
462:and see a list of open tasks.
364:Tag all relevant articles in
104:and see a list of open tasks.
2168:12:29, 28 October 2021 (UTC)
2149:11:40, 28 October 2021 (UTC)
2119:16:13, 24 October 2021 (UTC)
2094:09:19, 24 October 2021 (UTC)
2061:15:17, 4 November 2020 (UTC)
2042:13:03, 4 November 2020 (UTC)
2018:11:37, 4 November 2020 (UTC)
1472:18:42, 31 January 2015 (UTC)
1449:22:01, 27 January 2014 (UTC)
1427:19:38, 27 January 2014 (UTC)
1347:17:48, 27 January 2014 (UTC)
1075:15:54, 3 December 2011 (UTC)
856:15:25, 29 October 2007 (UTC)
782:02:25, 3 December 2005 (UTC)
618:. Is it better to change to
373:WikiProject Computer science
149:WikiProject Computer science
93:WikiProject Computer science
1717:{\displaystyle abc\notin A}
1502:14:16, 9 October 2019 (UTC)
1035:06:53, 18 August 2011 (UTC)
1020:11:30, 17 August 2011 (UTC)
1002:06:46, 17 August 2011 (UTC)
980:13:34, 16 August 2011 (UTC)
966:10:18, 16 August 2011 (UTC)
304:List of computer scientists
2219:
2133:See at the top of page 3:
826:Image:DFA search mommy.svg
804:20:51, 13 April 2006 (UTC)
728:14:17, 26 April 2007 (UTC)
525:18:50, 5 August 2010 (UTC)
136:project's importance scale
948:Possible error in example
837:03:57, 2 April 2007 (UTC)
764:06:23, 6 March 2010 (UTC)
487:
420:
366:Category:Computer science
142:
129:
116:Computer science articles
78:
57:
1685:{\displaystyle ccc\in A}
1172:— some finite number of
1142:Please do not modify it.
1054:Please do not modify it.
832:but may be useful here.
577:15:46, 14 May 2004 (UTC)
559:15:39, 14 May 2004 (UTC)
549:07:27, 14 May 2004 (UTC)
539:06:21, 14 May 2004 (UTC)
494:project's priority scale
368:and sub-categories with
1570:{\displaystyle {a,b,c}}
1064:Moves made, uncontested
830:string search algorithm
451:WikiProject Mathematics
1930:
1910:
1890:
1864:
1838:
1818:
1798:
1778:
1758:
1738:
1718:
1686:
1654:
1634:
1614:
1594:
1571:
1537:
1403:
1182:
928:and rejects the string
821:
669:
329:Computer science stubs
39:This article is rated
1931:
1911:
1891:
1865:
1839:
1819:
1799:
1779:
1759:
1739:
1719:
1687:
1655:
1635:
1615:
1595:
1572:
1538:
1404:
1152:DFA cannot recognize
1008:powerset construction
820:
695:conflicts with S for
670:
570:theory of computation
1920:
1900:
1874:
1848:
1828:
1808:
1788:
1768:
1748:
1728:
1696:
1664:
1644:
1624:
1604:
1581:
1577:that do not contain
1547:
1527:
1356:
622:
566:finite state machine
474:mathematics articles
147:Things you can help
1889:{\displaystyle ccc}
1863:{\displaystyle abc}
1660:. Proof: Note that
1464:Chip Wildon Forster
1926:
1906:
1886:
1860:
1834:
1814:
1794:
1774:
1754:
1734:
1714:
1682:
1650:
1630:
1610:
1593:{\displaystyle ab}
1590:
1567:
1533:
1399:
822:
665:
443:Mathematics portal
45:content assessment
1929:{\displaystyle M}
1909:{\displaystyle A}
1837:{\displaystyle q}
1817:{\displaystyle M}
1797:{\displaystyle q}
1777:{\displaystyle c}
1757:{\displaystyle M}
1737:{\displaystyle q}
1653:{\displaystyle M}
1633:{\displaystyle A}
1613:{\displaystyle M}
1536:{\displaystyle A}
1504:
1492:comment added by
896:
754:comment added by
605:
588:comment added by
508:
507:
504:
503:
500:
499:
399:
398:
395:
394:
391:
390:
387:
386:
16:(Redirected from
2210:
2160:Jochen Burghardt
2111:Jochen Burghardt
2108:
2104:
2103:
2034:Jochen Burghardt
1970:Jochen Burghardt
1967:
1963:
1962:
1935:
1933:
1932:
1927:
1915:
1913:
1912:
1907:
1895:
1893:
1892:
1887:
1869:
1867:
1866:
1861:
1843:
1841:
1840:
1835:
1823:
1821:
1820:
1815:
1803:
1801:
1800:
1795:
1783:
1781:
1780:
1775:
1763:
1761:
1760:
1755:
1744:be the state of
1743:
1741:
1740:
1735:
1723:
1721:
1720:
1715:
1691:
1689:
1688:
1683:
1659:
1657:
1656:
1651:
1639:
1637:
1636:
1631:
1619:
1617:
1616:
1611:
1599:
1597:
1596:
1591:
1576:
1574:
1573:
1568:
1566:
1542:
1540:
1539:
1534:
1408:
1406:
1405:
1400:
1395:
1381:
1380:
1371:
1370:
1144:
1056:
886:
848:one and only one
813:DFA search image
766:
674:
672:
671:
666:
655:
654:
604:
582:
476:
475:
472:
469:
466:
445:
440:
439:
429:
422:
421:
416:
408:
401:
377:
371:
246:Computer science
175:Article requests
164:
157:
156:
144:
118:
117:
114:
111:
108:
107:Computer science
98:Computer science
87:
80:
79:
74:
70:Computer science
66:
59:
42:
36:
35:
27:
21:
2218:
2217:
2213:
2212:
2211:
2209:
2208:
2207:
2173:
2172:
2127:
2101:
2099:
2071:
1990:email addresses
1986:
1960:
1958:
1918:
1917:
1898:
1897:
1872:
1871:
1846:
1845:
1826:
1825:
1806:
1805:
1786:
1785:
1766:
1765:
1746:
1745:
1726:
1725:
1694:
1693:
1662:
1661:
1642:
1641:
1622:
1621:
1602:
1601:
1579:
1578:
1545:
1544:
1525:
1524:
1510:
1494:131.174.142.107
1479:
1459:
1372:
1362:
1354:
1353:
1309:
1301:
1293:
1285:
1277:
1269:
1261:
1250:
1242:
1234:
1226:
1218:
1207:
1199:
1191:
1158:
1149:
1140:
1052:
1042:
950:
844:
815:
798:
789:
772:
749:
715:conflicts with
703:conflicts with
646:
620:
619:
616:Automata theory
612:
583:
532:
513:
473:
470:
467:
464:
463:
441:
434:
414:
383:
380:
375:
369:
357:Project-related
352:
333:
314:
288:
269:
250:
231:
212:
188:
132:High-importance
115:
112:
109:
106:
105:
73:High‑importance
72:
43:on Knowledge's
40:
23:
22:
15:
12:
11:
5:
2216:
2214:
2206:
2205:
2200:
2195:
2190:
2185:
2175:
2174:
2171:
2170:
2141:46.223.160.163
2126:
2123:
2122:
2121:
2086:46.223.160.111
2070:
2067:
2066:
2065:
2064:
2063:
2045:
2044:
2006:Stack Overflow
1985:
1982:
1981:
1980:
1925:
1905:
1885:
1882:
1879:
1859:
1856:
1853:
1833:
1824:terminates at
1813:
1793:
1773:
1753:
1733:
1713:
1710:
1707:
1704:
1701:
1681:
1678:
1675:
1672:
1669:
1649:
1629:
1609:
1589:
1586:
1565:
1562:
1559:
1556:
1553:
1532:
1509:
1506:
1478:
1475:
1458:
1455:
1454:
1453:
1452:
1451:
1430:
1429:
1398:
1394:
1390:
1387:
1384:
1379:
1375:
1369:
1365:
1361:
1319:
1318:
1315:
1307:
1299:
1291:
1283:
1275:
1267:
1259:
1256:
1248:
1240:
1232:
1224:
1216:
1213:
1205:
1197:
1189:
1162:article states
1157:
1150:
1148:
1147:
1137:requested move
1131:
1130:
1105:Ashutosh Gupta
1101:
1100:
1091:
1080:
1078:
1060:
1059:
1049:requested move
1043:
1041:
1040:Requested move
1038:
1027:Raghunandan ma
1012:Ashutosh Gupta
994:Raghunandan ma
972:Ashutosh Gupta
958:Raghunandan ma
949:
946:
945:
944:
943:
942:
921:
920:
919:
918:
901:
900:
881:
880:
843:
840:
814:
811:
796:
788:
785:
771:
770:Merge proposal
768:
756:115.248.12.253
745:
744:
730:
664:
661:
658:
653:
649:
645:
642:
639:
636:
633:
630:
627:
611:
608:
607:
606:
579:
564:I changed the
552:
551:
531:
528:
512:
511:Technical flag
509:
506:
505:
502:
501:
498:
497:
486:
480:
479:
477:
460:the discussion
447:
446:
430:
418:
417:
409:
397:
396:
393:
392:
389:
388:
385:
384:
382:
381:
379:
378:
361:
353:
351:
350:
344:
334:
332:
331:
325:
315:
313:
312:
307:
299:
289:
287:
286:
280:
270:
268:
267:
261:
251:
249:
248:
242:
232:
230:
229:
223:
213:
211:
210:
205:
199:
189:
187:
186:
180:
168:
166:
165:
153:
152:
140:
139:
128:
122:
121:
119:
102:the discussion
88:
76:
75:
67:
55:
54:
48:
37:
24:
14:
13:
10:
9:
6:
4:
3:
2:
2215:
2204:
2201:
2199:
2196:
2194:
2191:
2189:
2186:
2184:
2181:
2180:
2178:
2169:
2165:
2161:
2157:
2156:State diagram
2153:
2152:
2151:
2150:
2146:
2142:
2137:
2136:
2131:
2124:
2120:
2116:
2112:
2107:
2098:
2097:
2096:
2095:
2091:
2087:
2082:
2079:
2075:
2068:
2062:
2058:
2054:
2049:
2048:
2047:
2046:
2043:
2039:
2035:
2031:
2027:
2022:
2021:
2020:
2019:
2015:
2011:
2007:
2003:
1999:
1995:
1991:
1983:
1979:
1975:
1971:
1966:
1957:
1956:
1955:
1954:
1950:
1946:
1942:
1937:
1923:
1903:
1883:
1880:
1877:
1857:
1854:
1851:
1831:
1811:
1791:
1771:
1751:
1731:
1711:
1708:
1705:
1702:
1699:
1679:
1676:
1673:
1670:
1667:
1647:
1627:
1607:
1587:
1584:
1563:
1560:
1557:
1554:
1551:
1530:
1521:
1519:
1514:
1507:
1505:
1503:
1499:
1495:
1491:
1485:
1476:
1474:
1473:
1469:
1465:
1456:
1450:
1446:
1442:
1438:
1434:
1433:
1432:
1431:
1428:
1424:
1420:
1416:
1412:
1388:
1385:
1382:
1377:
1373:
1367:
1363:
1351:
1350:
1349:
1348:
1344:
1340:
1336:
1332:
1328:
1324:
1317:And so forth.
1316:
1313:
1305:
1297:
1289:
1281:
1273:
1265:
1257:
1254:
1246:
1238:
1230:
1222:
1214:
1211:
1203:
1195:
1187:
1186:
1185:
1181:
1179:
1175:
1171:
1165:
1163:
1155:
1151:
1146:
1143:
1138:
1133:
1132:
1129:
1126:
1125:
1120:
1117:
1116:
1115:
1114:
1110:
1106:
1099:
1095:
1092:
1090:
1086:
1083:
1082:
1081:
1077:
1076:
1072:
1068:
1065:
1058:
1055:
1050:
1045:
1044:
1039:
1037:
1036:
1032:
1028:
1023:
1021:
1017:
1013:
1009:
1004:
1003:
999:
995:
991:
986:
983:
981:
977:
973:
968:
967:
963:
959:
955:
947:
941:
937:
933:
929:
925:
924:
923:
922:
917:
913:
909:
905:
904:
903:
902:
899:
894:
890:
883:
882:
879:
875:
871:
867:
863:
860:
859:
858:
857:
854:
849:
841:
839:
838:
835:
831:
827:
819:
812:
810:
806:
805:
802:
795:
792:
786:
784:
783:
780:
776:
769:
767:
765:
761:
757:
753:
743:
739:
735:
731:
729:
726:
722:
718:
714:
710:
706:
702:
698:
694:
690:
687:
686:
685:
684:
681:
676:
659:
656:
651:
647:
643:
640:
637:
631:
628:
617:
609:
603:
599:
595:
591:
587:
580:
578:
575:
571:
567:
563:
562:
561:
560:
557:
556:Mark Richards
550:
547:
543:
542:
541:
540:
537:
536:Mark Richards
529:
527:
526:
522:
518:
510:
495:
491:
485:
482:
481:
478:
461:
457:
453:
452:
444:
438:
433:
431:
428:
424:
423:
419:
413:
410:
407:
403:
374:
367:
363:
362:
360:
358:
354:
349:
346:
345:
343:
341:
340:
335:
330:
327:
326:
324:
322:
321:
316:
311:
308:
305:
301:
300:
298:
296:
295:
290:
285:
282:
281:
279:
277:
276:
271:
266:
263:
262:
260:
258:
257:
252:
247:
244:
243:
241:
239:
238:
233:
228:
225:
224:
222:
220:
219:
214:
209:
206:
204:
201:
200:
198:
196:
195:
190:
185:
182:
181:
179:
177:
176:
171:
170:
167:
163:
159:
158:
155:
154:
150:
146:
145:
141:
137:
133:
127:
124:
123:
120:
103:
99:
95:
94:
89:
86:
82:
81:
77:
71:
68:
65:
61:
56:
52:
46:
38:
34:
29:
28:
19:
2138:
2132:
2128:
2105:
2083:
2080:
2076:
2072:
1987:
1964:
1938:
1522:
1511:
1488:— Preceding
1483:
1480:
1460:
1436:
1414:
1410:
1334:
1330:
1326:
1322:
1320:
1311:
1303:
1295:
1287:
1279:
1271:
1263:
1252:
1244:
1236:
1228:
1220:
1209:
1201:
1193:
1183:
1177:
1173:
1169:
1167:
1159:
1153:
1141:
1134:
1122:
1118:
1102:
1079:
1063:
1061:
1053:
1046:
1024:
1005:
987:
984:
969:
953:
951:
927:
865:
861:
847:
845:
823:
807:
799:
797:1*(01*01*)*
793:
790:
774:
773:
746:
716:
712:
708:
704:
700:
692:
688:
677:
613:
553:
533:
514:
490:Mid-priority
489:
449:
415:Mid‑priority
356:
355:
339:Unreferenced
337:
336:
318:
317:
292:
291:
273:
272:
254:
253:
235:
234:
216:
215:
192:
191:
173:
172:
131:
91:
51:WikiProjects
1844:with input
1477:Classifiers
1419:Deltahedron
1321:As long as
779:Ancheta Wis
750:—Preceding
734:ThomasOwens
584:—Preceding
530:What field?
465:Mathematics
456:mathematics
412:Mathematics
41:Start-class
2177:Categories
2139:Sicro ---
2084:Sicro ---
1441:Loadmaster
1413:for every
1339:Loadmaster
1121:per nom. —
1067:Mike Cline
862:Ambigiuous
709:Autamaton
697:semigroup
517:Ounsworth
227:Computing
1784:lead to
1490:unsigned
834:Dcoetzee
752:unsigned
711:. Using
699:. Using
598:contribs
590:Ben 1220
586:unsigned
568:to say
275:Maintain
218:Copyedit
2053:Tea2min
2010:Tea2min
1994:RFC 822
1804:. Then
1484:classes
1333:'s and
1119:Support
853:Maghnus
680:Pkirlin
610:symbols
574:jaredwf
546:jaredwf
492:on the
256:Infobox
194:Cleanup
134:on the
1724:. Let
1312:aaabbb
1164:that:
801:yusufm
775:Oppose
721:monoid
237:Expand
47:scale.
2073:: -->
2004:" on
1600:. If
1439:). —
870:Pyrre
866:every
725:linas
689:agree
320:Stubs
294:Photo
151:with:
2164:talk
2145:talk
2115:talk
2106:Done
2090:talk
2057:talk
2038:talk
2014:talk
2008:. –
1974:talk
1965:Done
1949:talk
1692:but
1498:talk
1468:talk
1445:talk
1423:talk
1343:talk
1253:aabb
1160:The
1124:Ruud
1109:talk
1071:talk
1031:talk
1016:talk
998:talk
976:talk
962:talk
936:talk
912:talk
893:talk
874:talk
760:talk
738:talk
719:for
707:for
594:talk
521:talk
126:High
2024:at
1936:.
1870:or
1306:→ S
1298:→ S
1290:→ S
1282:→ S
1274:→ S
1266:→ S
1247:→ S
1239:→ S
1231:→ S
1223:→ S
1204:→ S
1196:→ S
1180:'s.
1139:.
889:CBM
484:Mid
2179::
2166:)
2147:)
2117:)
2092:)
2059:)
2040:)
2016:)
1976:)
1951:)
1709:∉
1677:∈
1500:)
1470:)
1447:)
1425:)
1389:∈
1345:)
1327:ab
1302:→
1294:→
1286:→
1278:→
1270:→
1262:→
1243:→
1235:→
1227:→
1219:→
1210:ab
1200:→
1192:→
1170:ab
1154:ab
1111:)
1096:→
1087:→
1073:)
1051:.
1033:)
1022:)
1018:)
1000:)
982:)
978:)
964:)
954:ab
938:)
930:.
914:)
908:Rp
891:·
876:)
762:)
740:)
723:.
663:⟩
641:δ
635:Σ
626:⟨
600:)
596:•
523:)
376:}}
370:{{
2162:(
2143:(
2113:(
2088:(
2055:(
2036:(
2012:(
1972:(
1947:(
1924:M
1904:A
1884:c
1881:c
1878:c
1858:c
1855:b
1852:a
1832:q
1812:M
1792:q
1772:c
1752:M
1732:q
1712:A
1706:c
1703:b
1700:a
1680:A
1674:c
1671:c
1668:c
1648:M
1628:A
1608:M
1588:b
1585:a
1564:c
1561:,
1558:b
1555:,
1552:a
1531:A
1496:(
1466:(
1443:(
1437:n
1421:(
1415:n
1411:n
1397:}
1393:N
1386:n
1383::
1378:n
1374:b
1368:n
1364:a
1360:{
1341:(
1335:b
1331:a
1323:n
1314:)
1310:(
1308:9
1304:b
1300:8
1296:b
1292:7
1288:b
1284:6
1280:a
1276:3
1272:a
1268:1
1264:a
1260:0
1258:S
1255:)
1251:(
1249:5
1245:b
1241:4
1237:b
1233:3
1229:a
1225:1
1221:a
1217:0
1215:S
1212:)
1208:(
1206:2
1202:b
1198:1
1194:a
1190:0
1188:S
1178:b
1174:a
1156:?
1107:(
1069:(
1029:(
1014:(
996:(
974:(
960:(
934:(
910:(
895:)
887:(
872:(
758:(
736:(
717:M
713:M
705:A
701:A
693:S
660:F
657:,
652:0
648:q
644:,
638:,
632:,
629:Q
592:(
519:(
496:.
359::
342::
323::
306:)
297::
278::
259::
240::
221::
197::
178::
138:.
53::
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
