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natural density 0 (such as squares) never have a finite bound on the lengths of their greedy sums. The big problem with the proposed addition was not its interestingness or naturalness or triviality, but (as you point out) that it was totally unsourced and therefore appeared to be original research. You undercut that issue by pointing out how simple the calculation is, though. —
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for JDMV) and is indexed separately from JDMV in MathSciNet, with both of them publishing at the same time. So I'm pretty sure it's not the same thing. Nevertheless, if we don't have an article on Doc. Math., and it's mentioned in the DMV article, a redirect might make sense. I don't think there is a
2111:
I think you both are correct: the material can be included but not in the form you gave it. It would probabably be helpful if you framed this in the context of what is the algorithmic complexity of finding the four squares; then you could mention that greedy doesn't work, but something else (properly
2207:
In this case, though, I just don't see it at all. There's nothing in the statement of four-squares that invites considering the greedy algorithm. And if you do wonder about it, it's trivial to convince yourself that the greedy algorithm gives unboundedly long sequences of squares, since you if you
1852:
This has NOTHING to do with my edit to
Exponentiation whatsoever. You seem to want to argue about irrelevant issues rather than talking about improving the article in question and have gone off on a wild tangent. And I never called JBL a "deranged undergraduate"; I was referring to you but I decided
1619:
has only been open for a couple of hours, and the first comment by a third party (me) was just added to the conversation. Give the undo button a rest and wait for other editors to weigh in. Perhaps while you're waiting you could try to find some reliable sources on which to base the relevant parts
2234:
on exactly those issues (not suitable as a reference here because it doesn't mention sums of squares). There are many sequences in OEIS based on this principle of greedy representations as sums from some set, and published literature going back to Pillai in 1930. And as you point out sequences of
1823:
who is a professional mathematician. Definitely not a "deranged undergraduate". By the way, I spoke with some graduate student friends of mine and they also do not support your view. Most importantly, if independent reliable sources have not corroborated your interpretation of that sign, then we
1638:
All I'm trying to do is prevent
Knowledge containing obviously incorrect statements i.e. claiming that a mathematical identity can only hold "in general" rather than being true by definition. I'm disappointed that such an obvious fact seems to elude so many Wikipedians. But I'm not going to be
1937:
have everything to do with your edit, because your edit concerns a statement of that form. Don't be so self-righteous, especially when you have shown no evidence of consulting external resources to support your claim. You're wasting your breath without citing reliable sources in any
2333:
Please also see the discussion on my talk page. The category is a perfectly good category, but generally articles should belong to its subcategories rather than directly to it. It is a useful distinction e.g. from the category "Areas of mathematics" and should not be deleted.
1442:
I have collected yet another, but this time very small, batch of articles which include mathematics-related links to DAB pages. Expert attention in solving these puzzles would be welcome. If you solve any of them, remove the
1263:
Please, could someone more dignified than I am take care about adding either missing or more reasonable base cases in the recurrence relations in this article? Both my efforts to either generally have as the base case some
2088:. I added a section revealing an invalid variant of the theorem. This means a variant of what the theorem says that would make it false. Three times, however, someone reverted me. Interestingly enough, there's an article,
2476:, which is in fairly rough shape. The table is somewhat broken, and perhaps has some columns that could simply be removed. It's a bigger project than I have time for right now, so I thought I'd mention here. –
1577:
He's also made some wildly wrong statements like "The convention in mathematics is to use intensional definitions" and has confused the logical negation of an equality with a quantified inequality.
63:
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Maybe it's my background, but to me the question "how do we find it" is directly suggested by any existence theorem, and "does the most obvious method of trying to find it work" is not far behind. —
2230:
I disagree. I think it is very natural to go from a statement that a number can be represented using few members of some set, to the question of how few members the greedy algorithm uses. I have
2024:
As far as I understand, there is no such polygon (and there is such geographic place). Thus I delete it from the list of two-dimensional geometric shapes. If anyone saw such polygon, correct me.
1881:
And if we need any more proof that Jasper Deng has no idea what he is talking about, check out this comment in which he confuses (complex) exponentiation with logarithm. i isn't multivalued!
2112:
sourced) does. Another problem with your edit is that you did not provide a source for greedy not working, so it ends up looking like original research. You could try {{cite OEIS|A006892}} (
1602:. I'd like someone with more experience in formal logic to chime in, however, I believe that his concerns are unfounded. Please leave any comments you may have on that article's talk page.--
2315:
2130:). That would also give you an alternative method of framing this in terms of the growth pattern of this sequence. I don't see a need for a general rule to handle this sort of case. —
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2517:. Not only some columns could be removed, but also many entries should be removed: those that are far to be standard, and must be defined before being used (such as
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seems to think that explicitly mentioning the exceptions to a supposed "mathematical identity" is somehow inferior than just saying the equation holds "in general".
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I made some changes which he objected to for the use of elementary logical quantification, which I have now removed. He continues to revert for no apparent reason.
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not particularly coined as one of the harmonic numbers, or to specifically introduce it at places in specific need, were promptly reverted, ignoring that
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by its most conventional definition very much is, and I in particular am not the first one to state that there. What I said above most definitely
17:
1416:" It is non sens because before 20th, people knows already that intersection of two conics led to a quartic equation. (see Paul Bode (1892),«
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2009:
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to many mathematical articles. As almost all mathematical articles could belong to this category, I have open a deletion discussion at
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4) I just saw the link were changed, but still not corrected: Now the link on
Trapezus is pointing to a geographic place: Trabzon
2253:
direction to go, I suppose. But it's not directly suggested by the statement. Contrast with the section GG is referring to in
1418:
Die
Alhazensche Spiegel-Aufgabe in ihrer historischen Entwicklung nebst einer analytischen Lösung des verallgemeinerten Problems
2085:
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2446:
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to see all the solutions (algebraic, trigonometric, geometric...). p. 86 you can see an equation of the
Huygens' hyperbole.
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insists on an arcane interpretation of the ≠ symbol that is contrary to literally every textbook I've seen. I'm already at
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to revert that comment in the interests of keeping things calm. I'm amazed that an admin is behaving so childishly.
1385:, we can find the Alhazen' problem. Its solution has nothing to do with sum of the fourth powers (See A.I. Sabra,
1342:
1973:
2) To avoid any problems, now I just consulted the video tutorial to post complains about wikipedia pages. thanks.
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Mathematicians were not able to find an algebraic solution to the problem until the end of the 20th century
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1379:"This (i.e Alhazen's problem) eventually led Alhazen to derive a formula for the sum of fourth powers"
2005:
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question, we certainly don't want to open the door to adding random text of the form "proposition
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sign and is absurd when comparing the two functions as objects in their own right, since
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It involves doing some literature research. I don't have time for that this morning. —
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2316:
Knowledge:Categories for discussion/Log/2019 January 23#Category:Mathematical objects
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rule for how articles on mathematical theorems should deal with sections like this.
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1615:
Both of you get a trout for a ridiculously childish edit war. The discussion on
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squares, then just add a really big square number to that, and now you've got
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1260:, but additionally take the freedom to submit this here to a broader public:
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bullied off this project because an admin wants to win a foolish edit war.
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It's also published by the DMV but it has a different ISSN than JDMV (
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In case it wasn't clear, the crux of the issue is that you interpret
1982:
Polygons with specific numbers of sides -Quadrilaterals --Trapezus
2472:
In case anyone's looking for something to do, I just stumbled upon
2192:. The best sort of reason would be that multiple sources consider
2436:, 'Journal der Deutschen Mathematiker-Vereinigung' is a subtitle.
1381:. There is a lot of treatises written by Ibn al-Haytham. In the
1224:
33:
2118:
1747:. This is not at all the most common interpretation of the
1364:
Sorry, I don't speak english, so be kind when you read me
1537:
Totally unproductive sniping -- discussion should be at
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1990:
1412:
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a natural thing to mention, but if we all agree that
1912:
1773:
1753:
1703:
1659:
1541:. Other editors are invited to participate there. --
1396:). You can read the source (Victor J. Katz (1995), "
1389:). The sum of four power is in an another treatise (
1306:
1270:
2362:
Jahresbericht der
Deutschen Mathematiker-Vereinigung
2184:
that I just made up is false". There needs to be a
1387:
Ibn al-Haytham' lemas for solving
Alhazen's Problem
2532:
1985:were pointing to a Knowledge "Pornhub"-about page.
1925:
1803:
1759:
1739:
1689:
1325:
1292:
2415:"Journal of the..."; I've only seen it as Jber. —
2200:is an easy misunderstanding of the statement of
2556:, while it deserves to have a regular article.
2358:Journal der Deutschen Mathematiker-Vereinigung
1992:(Just look for Knowledge Trabzon, on Google).
1811:is perfectly valid as an inequality of sets.
1232:This page has archives. Sections older than
57:
8:
1975:3) The last post I did was about this page
2003:
1557:The following discussion has been closed.
1533:
64:
50:
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2204:I might be willing to look the other way.
2125:On-Line Encyclopedia of Integer Sequences
2080:Invalid variants of mathematical theorems
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1423:Can you fix these two errors ? Thank's.
2515:List of mathematical symbols by subject
2433:Created the redirect. According to the
2367:Mostly asking to see if redirecting to
2180:is true, but this stronger proposition
88:
1971:1) It is César R. K. Stradiotto again.
1740:{\displaystyle \forall xf(x)\neq g(x)}
1337:. Thanks for taking in consideration.
1256:I posted details of my problem at the
18:Knowledge talk:WikiProject Mathematics
2583:WikiProject Mathematics archives/2019
7:
1398:Ideas of Calculus in Islam and India
1394:On the Measurement of the paraboloid
1704:
45:WikiProject Mathematics archives (
32:
1236:may be automatically archived by
1902:okay, then it's time to ask for
1501:
1486:
1471:
1391:fi misahat al-mujassam al-mukafi
1333:is already in use at the end of
38:
1351:
2474:List of mathematical constants
2144:Please show me a better form.
2086:Lagrange's four-square theorem
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1453:tag from the article and post
1410:He added also a second error "
1404:made this mistake in june 2007
1:
2312:Category:Mathematical objects
2303:Category: Mathematical object
2046:" could be a misspelling of "
1804:{\displaystyle f(x)\neq g(x)}
1690:{\displaystyle f(x)\neq g(x)}
2566:16:14, 30 January 2019 (UTC)
2554:List of mathematical symbols
2511:List of mathematical symbols
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2369:German Mathematical Society
1438:Yet more links to DAB pages
2599:
2356:Is this the same thing as
2259:Grice's maxim of relevance
1400:). The banned contributor
2533:{\displaystyle \bullet ,}
2208:have a number that gives
2002:César R. K. Stradiotto
1560:Please do not modify it.
1293:{\displaystyle H_{0}=0,}
1249:Repairing recursions at
2084:Look at the history of
1906:qualifications because
1326:{\displaystyle H_{0}=0}
2534:
2371:would be appropriate.
1927:
1824:cannot accept it. See
1805:
1761:
1741:
1691:
1327:
1294:
1239:Lowercase sigmabot III
2535:
2351:Documenta Mathematica
1928:
1926:{\displaystyle i^{x}}
1806:
1762:
1760:{\displaystyle \neq }
1742:
1692:
1617:the article talk page
1377:article: we can read
1369:There is an error in
1328:
1295:
2521:
2310:adds systematically
1910:
1771:
1751:
1701:
1657:
1373:article and also in
1304:
1268:
2549:Mathematical symbol
2543:, and many others).
1978:, where the section
1620:of the article. --
1539:Talk:Exponentiation
1513:Thanks in advance,
1468:Uniformizable space
2530:
2509:Similar issues at
2261:; this doesn't. --
2249:Well, it's not an
2128:. OEIS Foundation.
2119:"Sequence A006892"
2060:Trapezus (Arcadia)
1923:
1821:User:Joel B. Lewis
1801:
1757:
1737:
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1383:The book of Optics
1323:
1290:
2468:List of constants
2090:Beal's conjecture
2020:
2008:comment added by
1961:
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1371:Alhazen's problem
1354:Alhazen's problem
1246:
1245:
95:Nov 2002–Dec 2003
2590:
2551:
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2536:
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2407:for Doc. Math.,
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2115:Sloane, N. J. A.
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2160:David Eppstein
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1247:
1244:
1243:
1231:
1228:
1227:
1222:
1218:
1216:
1213:
1212:
1210:
1209:
1154:
1098:
1096:
1095:
1040:
985:
930:
875:
820:
765:
710:
655:
600:
545:
490:
435:
380:
325:
270:
215:
160:
105:
84:
83:
82:
79:
78:
75:
74:
69:
68:
61:
54:
46:
43:
37:
31:
15:
14:
13:
10:
9:
6:
4:
3:
2:
2595:
2584:
2581:
2580:
2578:
2567:
2563:
2559:
2555:
2552:redirects to
2550:
2545:
2527:
2524:
2516:
2512:
2508:
2507:
2506:
2502:
2498:
2494:
2493:
2492:
2491:
2487:
2483:
2479:
2478:Deacon Vorbis
2475:
2467:
2461:
2456:
2452:
2448:
2444:
2440:
2435:
2432:
2431:
2430:
2429:
2426:
2422:
2418:
2413:
2410:
2406:
2403:
2399:
2398:
2397:
2396:
2391:
2387:
2383:
2379:
2375:
2370:
2365:
2363:
2359:
2352:
2349:
2345:
2341:
2337:
2332:
2331:
2330:
2329:
2325:
2321:
2317:
2313:
2309:
2302:
2286:
2282:
2278:
2274:
2273:
2272:
2268:
2264:
2260:
2256:
2252:
2248:
2247:
2246:
2242:
2238:
2233:
2232:a publication
2229:
2228:
2227:
2223:
2219:
2215:
2211:
2206:
2203:
2199:
2195:
2191:
2187:
2183:
2179:
2175:
2171:
2170:
2169:
2165:
2161:
2157:
2156:
2155:
2151:
2147:
2143:
2142:
2141:
2137:
2133:
2127:
2126:
2120:
2116:
2110:
2109:
2108:
2107:
2103:
2099:
2095:
2091:
2087:
2079:
2073:
2069:
2065:
2061:
2057:
2053:
2049:
2045:
2041:
2040:
2039:
2038:
2035:
2031:
2027:
2023:
2022:
2021:
2019:
2015:
2011:
2010:189.85.185.93
2007:
2000:
1997:
1994:
1991:
1987:
1983:
1980:
1977:
1969:
1963:
1947:
1944:
1941:
1936:
1918:
1914:
1905:
1899:
1894:
1893:
1892:
1888:
1884:
1880:
1879:
1878:
1877:
1876:
1875:
1874:
1873:
1864:
1860:
1856:
1851:
1850:
1849:
1848:
1847:
1846:
1845:
1844:
1837:
1834:
1831:
1827:
1822:
1816:
1795:
1789:
1786:
1780:
1774:
1754:
1731:
1725:
1722:
1716:
1710:
1707:
1681:
1675:
1672:
1666:
1660:
1652:
1651:
1650:
1646:
1642:
1637:
1636:
1635:
1634:
1631:
1627:
1623:
1618:
1614:
1613:
1612:
1611:
1608:
1605:
1601:
1595:
1589:
1588:
1584:
1580:
1575:
1572:
1570:
1566:
1565:
1561:
1556:
1555:
1552:
1548:
1544:
1540:
1536:
1535:
1530:
1527:
1525:
1524:
1520:
1516:
1508:
1499:
1498:Hybrid number
1496:
1493:
1484:
1481:
1478:
1469:
1466:
1465:
1464:
1459:
1449:
1437:
1435:
1434:
1430:
1426:
1421:
1419:
1415:
1414:
1408:
1406:
1403:
1399:
1395:
1392:
1388:
1384:
1380:
1376:
1372:
1367:
1365:
1361:
1355:
1349:
1348:
1344:
1340:
1336:
1320:
1317:
1312:
1308:
1287:
1284:
1281:
1276:
1272:
1261:
1259:
1252:
1248:
1240:
1235:
1230:
1229:
1215:
1214:
1208:
1204:
1200:
1196:
1192:
1188:
1184:
1180:
1176:
1172:
1168:
1164:
1160:
1159:
1155:
1153:
1149:
1145:
1141:
1137:
1133:
1129:
1125:
1121:
1117:
1113:
1109:
1105:
1104:
1100:
1099:
1094:
1090:
1086:
1082:
1078:
1074:
1070:
1066:
1062:
1058:
1054:
1050:
1046:
1045:
1041:
1039:
1035:
1031:
1027:
1023:
1019:
1015:
1011:
1007:
1003:
999:
995:
991:
990:
986:
984:
980:
976:
972:
968:
964:
960:
956:
952:
948:
944:
940:
936:
935:
931:
929:
925:
921:
917:
913:
909:
905:
901:
897:
893:
889:
885:
881:
880:
876:
874:
870:
866:
862:
858:
854:
850:
846:
842:
838:
834:
830:
826:
825:
821:
819:
815:
811:
807:
803:
799:
795:
791:
787:
783:
779:
775:
771:
770:
766:
764:
760:
756:
752:
748:
744:
740:
736:
732:
728:
724:
720:
716:
715:
711:
709:
705:
701:
697:
693:
689:
685:
681:
677:
673:
669:
665:
661:
660:
656:
654:
650:
646:
642:
638:
634:
630:
626:
622:
618:
614:
610:
606:
605:
601:
599:
595:
591:
587:
583:
579:
575:
571:
567:
563:
559:
555:
551:
550:
546:
544:
540:
536:
532:
528:
524:
520:
516:
512:
508:
504:
500:
496:
495:
491:
489:
485:
481:
477:
473:
469:
465:
461:
457:
453:
449:
445:
441:
440:
436:
434:
430:
426:
422:
418:
414:
410:
406:
402:
398:
394:
390:
386:
385:
381:
379:
375:
371:
367:
363:
359:
355:
351:
347:
343:
339:
335:
331:
330:
326:
324:
320:
316:
312:
308:
304:
300:
296:
292:
288:
284:
280:
276:
275:
271:
269:
265:
261:
257:
253:
249:
245:
241:
237:
233:
229:
225:
221:
220:
216:
214:
210:
206:
202:
198:
194:
190:
186:
182:
178:
174:
170:
166:
165:
161:
159:
155:
151:
147:
143:
139:
135:
131:
127:
123:
119:
115:
111:
110:
106:
104:
100:
96:
92:
89:
85:Earlier years
81:
80:
77:
76:
72:
67:
62:
60:
55:
53:
48:
47:
41:
36:
35:
27:
23:
19:
2471:
2366:
2355:
2306:
2250:
2213:
2209:
2201:
2197:
2193:
2189:
2185:
2181:
2177:
2173:
2122:
2093:
2083:
2004:— Preceding
2001:
1998:
1995:
1988:
1984:
1981:
1970:
1967:
1934:
1903:
1590:
1576:
1573:
1567:
1559:
1512:
1506:
1491:
1476:
1441:
1422:
1411:
1409:
1393:
1390:
1382:
1378:
1368:
1363:
1362:
1359:
1335:this section
1262:
1255:
1233:
1156:
1101:
1042:
987:
932:
883:
877:
822:
767:
712:
657:
602:
547:
492:
437:
382:
327:
272:
217:
162:
107:
103:Sep–Dec 2004
99:Jan–Aug 2004
44:
2188:to mention
2146:Georgia guy
2098:Georgia guy
1996:That´s it.
1940:Jasper Deng
1830:Jasper Deng
1604:Jasper Deng
1515:Narky Blert
2308:Jamgoodman
1999:Cordially
1819:I'd trust
1352:Errors in
91:Motivation
2412:0012-0456
2405:1431-0635
2263:Trovatore
2251:unnatural
2218:Trovatore
2064:JRSpriggs
2052:trapezius
2048:trapezoid
1826:WP:EXPERT
1402:Jagged 85
2577:Category
2558:D.Lazard
2495:Wow. --
2439:Headbomb
2374:Headbomb
2320:D.Lazard
2044:Trapezus
2006:unsigned
1964:Polygons
1898:Stemdude
1883:Stemdude
1855:Stemdude
1815:Stemdude
1641:Stemdude
1594:Stemdude
1579:Stemdude
1258:TP there
24: |
20: |
2174:general
2117:(ed.).
2058:", or "
2056:Trabzon
1938:case.--
1483:Termial
1356:article
1234:15 days
22:Archive
2486:videos
2482:carbon
2216:+1. --
2186:reason
1943:(talk)
1833:(talk)
1607:(talk)
1600:WP:3RR
1463:here.
1360:Hello
2546:Also
2360:? Or
2172:As a
1339:Purgy
16:<
2562:talk
2541:↯, ⨳
2513:and
2501:talk
2421:talk
2409:ISSN
2402:ISSN
2340:talk
2324:talk
2281:talk
2267:talk
2241:talk
2222:talk
2164:talk
2150:talk
2136:talk
2123:The
2102:talk
2094:best
2068:talk
2054:", "
2050:", "
2030:talk
2014:talk
1935:does
1904:your
1887:talk
1859:talk
1645:talk
1626:talk
1583:talk
1547:talk
1519:talk
1507:Done
1492:Done
1477:Done
1458:done
1429:talk
1343:talk
1158:2024
1103:2023
1044:2022
989:2021
934:2020
879:2019
824:2018
769:2017
714:2016
659:2015
604:2014
549:2013
494:2012
439:2011
384:2010
329:2009
274:2008
219:2007
164:2006
109:2005
26:2019
2497:JBL
2336:JBL
2062:".
1968:Hi
1828:.--
1697:as
1622:JBL
1543:JBL
1207:Dec
1203:Nov
1199:Oct
1195:Sep
1191:Aug
1187:Jul
1183:Jun
1179:May
1175:Apr
1171:Mar
1167:Feb
1163:Jan
1152:Dec
1148:Nov
1144:Oct
1140:Sep
1136:Aug
1132:Jul
1128:Jun
1124:May
1120:Apr
1116:Mar
1112:Feb
1108:Jan
1093:Dec
1089:Nov
1085:Oct
1081:Sep
1077:Aug
1073:Jul
1069:Jun
1065:May
1061:Apr
1057:Mar
1053:Feb
1049:Jan
1038:Dec
1034:Nov
1030:Oct
1026:Sep
1022:Aug
1018:Jul
1014:Jun
1010:May
1006:Apr
1002:Mar
998:Feb
994:Jan
983:Dec
979:Nov
975:Oct
971:Sep
967:Aug
963:Jul
959:Jun
955:May
951:Apr
947:Mar
943:Feb
939:Jan
928:Dec
924:Nov
920:Oct
916:Sep
912:Aug
908:Jul
904:Jun
900:May
896:Apr
892:Mar
888:Feb
884:Jan
873:Dec
869:Nov
865:Oct
861:Sep
857:Aug
853:Jul
849:Jun
845:May
841:Apr
837:Mar
833:Feb
829:Jan
818:Dec
814:Nov
810:Oct
806:Sep
802:Aug
798:Jul
794:Jun
790:May
786:Apr
782:Mar
778:Feb
774:Jan
763:Dec
759:Nov
755:Oct
751:Sep
747:Aug
743:Jul
739:Jun
735:May
731:Apr
727:Mar
723:Feb
719:Jan
708:Dec
704:Nov
700:Oct
696:Sep
692:Aug
688:Jul
684:Jun
680:May
676:Apr
672:Mar
668:Feb
664:Jan
653:Dec
649:Nov
645:Oct
641:Sep
637:Aug
633:Jul
629:Jun
625:May
621:Apr
617:Mar
613:Feb
609:Jan
598:Dec
594:Nov
590:Oct
586:Sep
582:Aug
578:Jul
574:Jun
570:May
566:Apr
562:Mar
558:Feb
554:Jan
543:Dec
539:Nov
535:Oct
531:Sep
527:Aug
523:Jul
519:Jun
515:May
511:Apr
507:Mar
503:Feb
499:Jan
488:Dec
484:Nov
480:Oct
476:Sep
472:Aug
468:Jul
464:Jun
460:May
456:Apr
452:Mar
448:Feb
444:Jan
433:Dec
429:Nov
425:Oct
421:Sep
417:Aug
413:Jul
409:Jun
405:May
401:Apr
397:Mar
393:Feb
389:Jan
378:Dec
374:Nov
370:Oct
366:Sep
362:Aug
358:Jul
354:Jun
350:May
346:Apr
342:Mar
338:Feb
334:Jan
323:Dec
319:Nov
315:Oct
311:Sep
307:Aug
303:Jul
299:Jun
295:May
291:Apr
287:Mar
283:Feb
279:Jan
268:Dec
264:Nov
260:Oct
256:Sep
252:Aug
248:Jul
244:Jun
240:May
236:Apr
232:Mar
228:Feb
224:Jan
213:Dec
209:Nov
205:Oct
201:Sep
197:Aug
193:Jul
189:Jun
185:May
181:Apr
177:Mar
173:Feb
169:Jan
158:Dec
154:Nov
150:Oct
146:Sep
142:Aug
138:Jul
134:Jun
130:May
126:Apr
122:Mar
118:Feb
114:Jan
2579::
2564:)
2525:∙
2503:)
2488:)
2484:•
2453:·
2449:·
2445:·
2423:)
2388:·
2384:·
2380:·
2364:?
2342:)
2334:--
2326:)
2318:.
2283:)
2269:)
2243:)
2224:)
2166:)
2152:)
2138:)
2121:.
2104:)
2070:)
2032:)
2016:)
1889:)
1861:)
1787:≠
1755:≠
1723:≠
1705:∀
1673:≠
1647:)
1628:)
1585:)
1549:)
1521:)
1461:}}
1455:{{
1451:}}
1448:dn
1445:{{
1431:)
1425:HB
1407:.
1366:.
1345:)
1205:·
1201:·
1197:·
1193:·
1189:·
1185:·
1181:·
1177:·
1173:·
1169:·
1165:·
1161::
1150:·
1146:·
1142:·
1138:·
1134:·
1130:·
1126:·
1122:·
1118:·
1114:·
1110:·
1106::
1091:·
1087:·
1083:·
1079:·
1075:·
1071:·
1067:·
1063:·
1059:·
1055:·
1051:·
1047::
1036:·
1032:·
1028:·
1024:·
1020:·
1016:·
1012:·
1008:·
1004:·
1000:·
996:·
992::
981:·
977:·
973:·
969:·
965:·
961:·
957:·
953:·
949:·
945:·
941:·
937::
926:·
922:·
918:·
914:·
910:·
906:·
902:·
898:·
894:·
890:·
886:·
882::
871:·
867:·
863:·
859:·
855:·
851:·
847:·
843:·
839:·
835:·
831:·
827::
816:·
812:·
808:·
804:·
800:·
796:·
792:·
788:·
784:·
780:·
776:·
772::
761:·
757:·
753:·
749:·
745:·
741:·
737:·
733:·
729:·
725:·
721:·
717::
706:·
702:·
698:·
694:·
690:·
686:·
682:·
678:·
674:·
670:·
666:·
662::
651:·
647:·
643:·
639:·
635:·
631:·
627:·
623:·
619:·
615:·
611:·
607::
596:·
592:·
588:·
584:·
580:·
576:·
572:·
568:·
564:·
560:·
556:·
552::
541:·
537:·
533:·
529:·
525:·
521:·
517:·
513:·
509:·
505:·
501:·
497::
486:·
482:·
478:·
474:·
470:·
466:·
462:·
458:·
454:·
450:·
446:·
442::
431:·
427:·
423:·
419:·
415:·
411:·
407:·
403:·
399:·
395:·
391:·
387::
376:·
372:·
368:·
364:·
360:·
356:·
352:·
348:·
344:·
340:·
336:·
332::
321:·
317:·
313:·
309:·
305:·
301:·
297:·
293:·
289:·
285:·
281:·
277::
266:·
262:·
258:·
254:·
250:·
246:·
242:·
238:·
234:·
230:·
226:·
222::
211:·
207:·
203:·
199:·
195:·
191:·
187:·
183:·
179:·
175:·
171:·
167::
156:·
152:·
148:·
144:·
140:·
136:·
132:·
128:·
124:·
120:·
116:·
112::
101:·
97:·
93:·
2560:(
2528:,
2499:(
2480:(
2457:}
2455:b
2451:p
2447:c
2443:t
2441:{
2419:(
2392:}
2390:b
2386:p
2382:c
2378:t
2376:{
2338:(
2322:(
2279:(
2265:(
2239:(
2220:(
2214:N
2210:N
2202:P
2198:Q
2194:Q
2190:Q
2182:Q
2178:P
2162:(
2148:(
2134:(
2100:(
2066:(
2042:"
2028:(
2012:(
1919:x
1915:i
1900::
1896:@
1885:(
1857:(
1817::
1813:@
1799:)
1796:x
1793:(
1790:g
1784:)
1781:x
1778:(
1775:f
1735:)
1732:x
1729:(
1726:g
1720:)
1717:x
1714:(
1711:f
1708:x
1685:)
1682:x
1679:(
1676:g
1670:)
1667:x
1664:(
1661:f
1643:(
1624:(
1596::
1592:@
1581:(
1545:(
1517:(
1427:(
1341:(
1321:0
1318:=
1313:0
1309:H
1288:,
1285:0
1282:=
1277:0
1273:H
1242:.
71:)
65:e
58:t
51:v
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