63:
actual rating would not change after this series of games is if their rating at the start of these games was already their performance rating over the series. With this definition, individual game results do not directly factor into the calculation. Unlike the linear and FIDE methods, however, the ratings of individual opponents do affect the calculation.
62:
a player would need to have to expect to get their actual total score against the opponents they faced in those games. A practical way to understand the performance rating centers around the fact that a player's actual rating changes after each game played. By the definition, the only way a player's
2587:
away from their average rating, in which case the performance rating is the average of the opponents' ratings. There are larger discrepancies closer to zero scores or perfect scores, or a larger variance in the individual ratings (in which case the individual ratings have a larger effect). The true
485:
over the domain. This means we set a lower and an upper bound for reasonable ratings (here 0 and 4000), then check how much someone rated at the midpoint (2000) should have scored. If the actual score is more, this means the performance was better than 2000, so we repeat the search on the halved
37:
Due to the difficulty of computing performance rating in this manner, however, the linear method and FIDE method for calculating performance rating are in much more widespread use. With these simpler methods, only the average rating (abbreviated as Rc) factors into the calculation instead of the
2381:(GM) title, a player must achieve three GM norms corresponding to performance ratings of at least 2600 against opponents with an average rating of 2380 and must also have reached a required peak live rating of 2500. These norms are calculated with the FIDE performance rating method.
2599:
As a specific example, if a player scores 2½/3 against three opponents rated 2400, 2500, and 2600, their performance ratings with the different methods are 2785 (true definition), 2773 (FIDE), and 2767 (linear).
312:
2583:
Different methods for calculating the performance rating generally give similar results. The only score in which all methods give exactly the same result is an even score against opponents with no
2575:. Like the true definition, the linear method also does not depend on individual game results. Unlike the true definition, the linear method does not depend on individual opponent ratings.
190:
1092:
Like the true definition, the FIDE method also does not depend on individual game results. Unlike the true definition, the FIDE method does not depend on individual opponent ratings.
2529:
904:
2456:
1137:
373:
1203:
427:
1170:
2414:
2331:
2176:
2017:
1871:
1721:
1584:
1443:
1315:
1087:
1040:
1009:
958:
931:
851:
401:
344:
2573:
2476:
2271:
2116:
1960:
1814:
1667:
1530:
1392:
1264:
1060:
978:
479:
455:
210:
109:
89:
38:
rating of each individual opponent. Regardless of the method, only the total score is used to determine performance rating instead of individual game results.
2704:"B. Permanent Commissions / 01. International Title Regulations (Qualification Commission) / FIDE Title Regulations effective from 1 July 2017"
960:
is an additional rating difference based on the player's total score divided by the number of rounds played. That fractional score is called
30:
is the level a player performed at in a tournament or match based on the number of games played, their total score in those games, and the
2377:. A norm in chess is awarded if a player has a performance rating in a tournament at or above a threshold rating. As an example, for the
2676:"B. Permanent Commissions / 02. FIDE Rating Regulations (Qualification Commission) / FIDE Rating Regulations effective from 1 July 2017"
217:
34:
of their opponents. It is the Elo rating a player would have if their performance resulted in no net rating change.
114:
1089:
for common lengths of tournaments (eight to eleven rounds) are listed below under rating difference examples.
490:
654:"""Calculate mathematically perfect performance rating with binary search"""
540:"""How many points we expect to score in a tourney with these opponents"""
2769:
2555:
This method is sometimes called the linear method due to the linear dependence on the percentage score
2481:
856:
2419:
2373:
One of the requirements to earn a FIDE title in a standard manner is to achieve a certain number of
482:
2416:
in FIDE performance ratings, another simpler method instead calculates the rating difference as
1106:
349:
1175:
406:
1142:
2478:
is the percentage score in this case. The overall performance rating is then calculated as
2392:
2309:
2154:
1995:
1849:
1699:
1562:
1421:
1293:
1065:
1018:
987:
936:
909:
829:
2548:
A disadvantage becomes obvious: An additional win against a low-rated player can actually
8:
2378:
981:
380:
323:
47:
2728:
2703:
2622:
2558:
2461:
2256:
2101:
1945:
1799:
1652:
1515:
1377:
1249:
1045:
963:
464:
458:
440:
195:
94:
74:
2534:
An equivalent way to calculate this performance rating is by taking the average of
2389:
Because of the need to have a lookup table to calculate the rating difference
2763:
2755:
2675:
2374:
1012:
212:
where the expected score on the right equals the actual score on the left:
43:
2647:
42:
performance ratings are also used to determine if a player has achieved a
31:
59:
2596:
for a perfect score, whereas the other methods yield finite values.
2584:
307:{\displaystyle s=f(R)=\sum _{i}{\frac {1}{1+10^{(R_{i}-R)/400}}}}
27:
823:
39:
58:
A player's performance rating in a series of games is the
2561:
2484:
2464:
2422:
2395:
2312:
2259:
2157:
2104:
1998:
1948:
1852:
1802:
1702:
1655:
1565:
1518:
1424:
1380:
1296:
1252:
1178:
1145:
1109:
1068:
1048:
1021:
990:
966:
939:
912:
859:
832:
467:
443:
409:
383:
352:
326:
220:
198:
117:
97:
77:
486:
interval (between 2000 and 4000, midpoint at 3000).
316:Note that the two edge cases have unusual results:
2567:
2523:
2470:
2450:
2408:
2325:
2265:
2170:
2110:
2011:
1954:
1865:
1808:
1715:
1661:
1578:
1524:
1437:
1386:
1309:
1258:
1197:
1164:
1131:
1081:
1054:
1034:
1003:
972:
952:
925:
898:
845:
473:
449:
421:
395:
367:
338:
306:
204:
184:
103:
83:
2761:
1062:rounded to the nearest hundredth. The values of
2670:
2668:
192:, the perfect performance rating is the number
2578:
1095:
2698:
2696:
2665:
2384:
185:{\displaystyle R_{i}(R_{1},R_{2},...,R_{n})}
2588:definition of the performance rating gives
933:is the average rating of the opponents and
403:), their performance rating is technically
346:), their performance rating is technically
818:
66:
2693:
826:calculates a player's performance rating
2617:
2615:
2613:
2640:
2762:
2721:
2610:
2541:opponent's rating - 400 for each loss
2538:opponent's rating + 400 for each win
2648:"Elo Rating Performance Calculator"
13:
416:
362:
320:If someone loses all their games (
14:
2781:
2750:
2524:{\displaystyle r_{p}=r_{c}+d_{p}}
899:{\displaystyle r_{p}=r_{c}+d_{p}}
459:monotonically increasing function
377:If someone wins all their games (
2544:just their rating for each draw.
2531:, the same as the FIDE method.
2368:
2451:{\displaystyle d_{p}=800p-400}
432:
288:
269:
236:
230:
179:
128:
1:
2603:
53:
2756:FIDE Handbook: Rating System
7:
1011:. Instead, FIDE provides a
489:A sample implementation in
111:games and opponent ratings
10:
2786:
2579:Comparison between methods
2211:
2056:
1903:
1757:
1613:
1476:
1341:
1213:
1172:, and perfect scores have
1132:{\displaystyle d_{p}=-800}
1096:Rating difference examples
368:{\displaystyle R=-\infty }
2552:your performance rating.
2385:Linear performance rating
1198:{\displaystyle d_{p}=800}
422:{\displaystyle R=\infty }
2729:"Performance calculator"
2623:"Performance calculator"
495:
46:for FIDE titles such as
1165:{\displaystyle d_{p}=0}
1042:based on the values of
819:FIDE performance rating
67:Mathematical definition
16:Player-level assessment
2569:
2525:
2472:
2452:
2410:
2327:
2267:
2172:
2112:
2013:
1956:
1867:
1810:
1717:
1663:
1580:
1526:
1439:
1388:
1311:
1260:
1199:
1166:
1133:
1083:
1056:
1036:
1005:
974:
954:
927:
900:
847:
475:
451:
423:
397:
369:
340:
308:
206:
186:
105:
85:
2592:for a zero score and
2570:
2526:
2473:
2453:
2411:
2409:{\displaystyle d_{p}}
2328:
2326:{\displaystyle d_{p}}
2268:
2173:
2171:{\displaystyle d_{p}}
2113:
2014:
2012:{\displaystyle d_{p}}
1957:
1868:
1866:{\displaystyle d_{p}}
1811:
1718:
1716:{\displaystyle d_{p}}
1664:
1581:
1579:{\displaystyle d_{p}}
1527:
1440:
1438:{\displaystyle d_{p}}
1389:
1312:
1310:{\displaystyle d_{p}}
1261:
1200:
1167:
1134:
1084:
1082:{\displaystyle d_{p}}
1057:
1037:
1035:{\displaystyle d_{p}}
1006:
1004:{\displaystyle d_{p}}
975:
955:
953:{\displaystyle d_{p}}
928:
926:{\displaystyle r_{c}}
901:
848:
846:{\displaystyle r_{p}}
476:
452:
424:
398:
370:
341:
309:
207:
187:
106:
86:
2559:
2482:
2462:
2420:
2393:
2310:
2257:
2155:
2102:
1996:
1946:
1850:
1800:
1700:
1653:
1563:
1516:
1422:
1378:
1294:
1250:
1176:
1143:
1107:
1066:
1046:
1019:
988:
964:
937:
910:
857:
830:
465:
441:
407:
381:
350:
324:
218:
196:
115:
95:
75:
71:Given a total score
2053:
1754:
1473:
1210:
1139:, even scores have
982:analytic expression
396:{\displaystyle s=n}
339:{\displaystyle s=0}
2565:
2521:
2468:
2448:
2406:
2323:
2263:
2168:
2108:
2051:
2009:
1952:
1863:
1806:
1752:
1713:
1659:
1576:
1522:
1471:
1435:
1384:
1307:
1256:
1208:
1195:
1162:
1129:
1079:
1052:
1032:
1015:for the values of
1001:
970:
950:
923:
896:
843:
801:performance_rating
615:performance_rating
471:
447:
419:
393:
365:
336:
304:
251:
202:
182:
101:
81:
20:Performance rating
2770:Chess terminology
2568:{\displaystyle p}
2471:{\displaystyle p}
2366:
2365:
2266:{\displaystyle p}
2111:{\displaystyle p}
2049:
2048:
1955:{\displaystyle p}
1809:{\displaystyle p}
1750:
1749:
1662:{\displaystyle p}
1525:{\displaystyle p}
1469:
1468:
1387:{\displaystyle p}
1259:{\displaystyle p}
1103:Zero scores have
1055:{\displaystyle p}
973:{\displaystyle p}
474:{\displaystyle R}
450:{\displaystyle f}
302:
242:
205:{\displaystyle R}
104:{\displaystyle n}
91:over a series of
84:{\displaystyle s}
2777:
2744:
2743:
2741:
2739:
2725:
2719:
2718:
2716:
2714:
2700:
2691:
2690:
2688:
2686:
2672:
2663:
2662:
2660:
2658:
2644:
2638:
2637:
2635:
2633:
2619:
2595:
2591:
2574:
2572:
2571:
2566:
2530:
2528:
2527:
2522:
2520:
2519:
2507:
2506:
2494:
2493:
2477:
2475:
2474:
2469:
2457:
2455:
2454:
2449:
2432:
2431:
2415:
2413:
2412:
2407:
2405:
2404:
2332:
2330:
2329:
2324:
2322:
2321:
2272:
2270:
2269:
2264:
2177:
2175:
2174:
2169:
2167:
2166:
2117:
2115:
2114:
2109:
2054:
2050:
2018:
2016:
2015:
2010:
2008:
2007:
1961:
1959:
1958:
1953:
1872:
1870:
1869:
1864:
1862:
1861:
1815:
1813:
1812:
1807:
1755:
1751:
1722:
1720:
1719:
1714:
1712:
1711:
1668:
1666:
1665:
1660:
1585:
1583:
1582:
1577:
1575:
1574:
1531:
1529:
1528:
1523:
1474:
1470:
1444:
1442:
1441:
1436:
1434:
1433:
1393:
1391:
1390:
1385:
1316:
1314:
1313:
1308:
1306:
1305:
1265:
1263:
1262:
1257:
1211:
1207:
1204:
1202:
1201:
1196:
1188:
1187:
1171:
1169:
1168:
1163:
1155:
1154:
1138:
1136:
1135:
1130:
1119:
1118:
1088:
1086:
1085:
1080:
1078:
1077:
1061:
1059:
1058:
1053:
1041:
1039:
1038:
1033:
1031:
1030:
1010:
1008:
1007:
1002:
1000:
999:
979:
977:
976:
971:
959:
957:
956:
951:
949:
948:
932:
930:
929:
924:
922:
921:
905:
903:
902:
897:
895:
894:
882:
881:
869:
868:
852:
850:
849:
844:
842:
841:
814:
813:# should be 2551
811:
808:
805:
802:
799:
796:
793:
790:
787:
784:
781:
778:
775:
772:
769:
766:
763:
760:
757:
754:
751:
748:
745:
742:
739:
736:
735:opponent_ratings
733:
730:
727:
724:
721:
718:
715:
712:
709:
706:
703:
700:
697:
694:
691:
688:
685:
682:
679:
676:
673:
670:
667:
664:
661:
658:
655:
652:
649:
646:
643:
640:
637:
634:
631:
628:
625:
622:
621:opponent_ratings
619:
616:
613:
610:
607:
606:opponent_ratings
604:
601:
598:
595:
592:
589:
586:
583:
580:
577:
574:
571:
568:
565:
562:
559:
556:
553:
550:
547:
544:
541:
538:
535:
532:
529:
526:
523:
520:
517:
514:
511:
508:
507:opponent_ratings
505:
502:
499:
480:
478:
477:
472:
456:
454:
453:
448:
428:
426:
425:
420:
402:
400:
399:
394:
374:
372:
371:
366:
345:
343:
342:
337:
313:
311:
310:
305:
303:
301:
300:
299:
295:
281:
280:
253:
250:
211:
209:
208:
203:
191:
189:
188:
183:
178:
177:
153:
152:
140:
139:
127:
126:
110:
108:
107:
102:
90:
88:
87:
82:
22:(abbreviated as
2785:
2784:
2780:
2779:
2778:
2776:
2775:
2774:
2760:
2759:
2753:
2748:
2747:
2737:
2735:
2727:
2726:
2722:
2712:
2710:
2702:
2701:
2694:
2684:
2682:
2674:
2673:
2666:
2656:
2654:
2646:
2645:
2641:
2631:
2629:
2621:
2620:
2611:
2606:
2593:
2589:
2581:
2560:
2557:
2556:
2515:
2511:
2502:
2498:
2489:
2485:
2483:
2480:
2479:
2463:
2460:
2459:
2427:
2423:
2421:
2418:
2417:
2400:
2396:
2394:
2391:
2390:
2387:
2371:
2317:
2313:
2311:
2308:
2307:
2258:
2255:
2254:
2213:Positive scores
2162:
2158:
2156:
2153:
2152:
2103:
2100:
2099:
2058:Negative scores
2003:
1999:
1997:
1994:
1993:
1947:
1944:
1943:
1905:Positive scores
1857:
1853:
1851:
1848:
1847:
1801:
1798:
1797:
1759:Negative scores
1707:
1703:
1701:
1698:
1697:
1654:
1651:
1650:
1615:Positive scores
1570:
1566:
1564:
1561:
1560:
1517:
1514:
1513:
1478:Negative scores
1429:
1425:
1423:
1420:
1419:
1379:
1376:
1375:
1343:Positive scores
1301:
1297:
1295:
1292:
1291:
1251:
1248:
1247:
1215:Negative scores
1183:
1179:
1177:
1174:
1173:
1150:
1146:
1144:
1141:
1140:
1114:
1110:
1108:
1105:
1104:
1098:
1073:
1069:
1067:
1064:
1063:
1047:
1044:
1043:
1026:
1022:
1020:
1017:
1016:
995:
991:
989:
986:
985:
965:
962:
961:
944:
940:
938:
935:
934:
917:
913:
911:
908:
907:
890:
886:
877:
873:
864:
860:
858:
855:
854:
837:
833:
831:
828:
827:
821:
816:
815:
812:
809:
806:
803:
800:
797:
794:
791:
788:
785:
782:
779:
776:
773:
770:
767:
764:
761:
758:
755:
752:
749:
746:
743:
740:
737:
734:
731:
728:
725:
722:
719:
716:
713:
710:
707:
704:
701:
698:
695:
692:
689:
686:
683:
680:
677:
674:
671:
668:
665:
662:
659:
656:
653:
650:
647:
644:
641:
638:
635:
632:
629:
626:
623:
620:
617:
614:
611:
608:
605:
602:
600:opponent_rating
599:
596:
593:
590:
587:
584:
581:
578:
576:opponent_rating
575:
572:
569:
566:
563:
560:
557:
554:
551:
548:
545:
542:
539:
536:
533:
530:
527:
524:
521:
518:
515:
512:
509:
506:
503:
500:
497:
466:
463:
462:
442:
439:
438:
435:
408:
405:
404:
382:
379:
378:
351:
348:
347:
325:
322:
321:
291:
276:
272:
268:
264:
257:
252:
246:
219:
216:
215:
197:
194:
193:
173:
169:
148:
144:
135:
131:
122:
118:
116:
113:
112:
96:
93:
92:
76:
73:
72:
69:
56:
17:
12:
11:
5:
2783:
2773:
2772:
2752:
2751:External links
2749:
2746:
2745:
2720:
2692:
2664:
2639:
2608:
2607:
2605:
2602:
2580:
2577:
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2247:
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2216:
2215:
2209:
2208:
2205:
2202:
2199:
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2060:
2052:Eleven rounds
2047:
2046:
2043:
2040:
2037:
2034:
2031:
2028:
2025:
2022:
2019:
2006:
2002:
1990:
1989:
1986:
1983:
1980:
1977:
1974:
1971:
1968:
1965:
1962:
1951:
1940:
1939:
1936:
1933:
1930:
1927:
1924:
1921:
1918:
1915:
1912:
1908:
1907:
1901:
1900:
1897:
1894:
1891:
1888:
1885:
1882:
1879:
1876:
1873:
1860:
1856:
1844:
1843:
1840:
1837:
1834:
1831:
1828:
1825:
1822:
1819:
1816:
1805:
1794:
1793:
1790:
1787:
1784:
1781:
1778:
1775:
1772:
1769:
1766:
1762:
1761:
1748:
1747:
1744:
1741:
1738:
1735:
1732:
1729:
1726:
1723:
1710:
1706:
1694:
1693:
1690:
1687:
1684:
1681:
1678:
1675:
1672:
1669:
1658:
1647:
1646:
1643:
1640:
1637:
1634:
1631:
1628:
1625:
1622:
1618:
1617:
1611:
1610:
1607:
1604:
1601:
1598:
1595:
1592:
1589:
1586:
1573:
1569:
1557:
1556:
1553:
1550:
1547:
1544:
1541:
1538:
1535:
1532:
1521:
1510:
1509:
1506:
1503:
1500:
1497:
1494:
1491:
1488:
1485:
1481:
1480:
1467:
1466:
1463:
1460:
1457:
1454:
1451:
1448:
1445:
1432:
1428:
1416:
1415:
1412:
1409:
1406:
1403:
1400:
1397:
1394:
1383:
1372:
1371:
1368:
1365:
1362:
1359:
1356:
1353:
1350:
1346:
1345:
1339:
1338:
1335:
1332:
1329:
1326:
1323:
1320:
1317:
1304:
1300:
1288:
1287:
1284:
1281:
1278:
1275:
1272:
1269:
1266:
1255:
1244:
1243:
1240:
1237:
1234:
1231:
1228:
1225:
1222:
1218:
1217:
1194:
1191:
1186:
1182:
1161:
1158:
1153:
1149:
1128:
1125:
1122:
1117:
1113:
1097:
1094:
1076:
1072:
1051:
1029:
1025:
998:
994:
980:. There is no
969:
947:
943:
920:
916:
893:
889:
885:
880:
876:
872:
867:
863:
840:
836:
820:
817:
729:expected_score
501:expected_score
496:
481:by performing
470:
461:, we can find
446:
434:
431:
430:
429:
418:
415:
412:
392:
389:
386:
375:
364:
361:
358:
355:
335:
332:
329:
298:
294:
290:
287:
284:
279:
275:
271:
267:
263:
260:
256:
249:
245:
241:
238:
235:
232:
229:
226:
223:
201:
181:
176:
172:
168:
165:
162:
159:
156:
151:
147:
143:
138:
134:
130:
125:
121:
100:
80:
68:
65:
55:
52:
15:
9:
6:
4:
3:
2:
2782:
2771:
2768:
2767:
2765:
2758:
2757:
2734:
2730:
2724:
2709:
2705:
2699:
2697:
2681:
2677:
2671:
2669:
2653:
2649:
2643:
2628:
2624:
2618:
2616:
2614:
2609:
2601:
2597:
2586:
2576:
2562:
2553:
2551:
2543:
2540:
2537:
2536:
2535:
2532:
2516:
2512:
2508:
2503:
2499:
2495:
2490:
2486:
2465:
2445:
2442:
2439:
2436:
2433:
2428:
2424:
2401:
2397:
2382:
2380:
2376:
2361:
2358:
2355:
2352:
2349:
2346:
2343:
2340:
2337:
2334:
2318:
2314:
2306:
2305:
2301:
2298:
2295:
2292:
2289:
2286:
2283:
2280:
2277:
2274:
2260:
2253:
2252:
2248:
2245:
2242:
2239:
2236:
2233:
2230:
2227:
2224:
2221:
2218:
2217:
2214:
2210:
2206:
2203:
2200:
2197:
2194:
2191:
2188:
2185:
2182:
2179:
2163:
2159:
2151:
2150:
2146:
2143:
2140:
2137:
2134:
2131:
2128:
2125:
2122:
2119:
2105:
2098:
2097:
2093:
2090:
2087:
2084:
2081:
2078:
2075:
2072:
2069:
2066:
2063:
2062:
2059:
2055:
2044:
2041:
2038:
2035:
2032:
2029:
2026:
2023:
2020:
2004:
2000:
1992:
1991:
1987:
1984:
1981:
1978:
1975:
1972:
1969:
1966:
1963:
1949:
1942:
1941:
1937:
1934:
1931:
1928:
1925:
1922:
1919:
1916:
1913:
1910:
1909:
1906:
1902:
1898:
1895:
1892:
1889:
1886:
1883:
1880:
1877:
1874:
1858:
1854:
1846:
1845:
1841:
1838:
1835:
1832:
1829:
1826:
1823:
1820:
1817:
1803:
1796:
1795:
1791:
1788:
1785:
1782:
1779:
1776:
1773:
1770:
1767:
1764:
1763:
1760:
1756:
1745:
1742:
1739:
1736:
1733:
1730:
1727:
1724:
1708:
1704:
1696:
1695:
1691:
1688:
1685:
1682:
1679:
1676:
1673:
1670:
1656:
1649:
1648:
1644:
1641:
1638:
1635:
1632:
1629:
1626:
1623:
1620:
1619:
1616:
1612:
1608:
1605:
1602:
1599:
1596:
1593:
1590:
1587:
1571:
1567:
1559:
1558:
1554:
1551:
1548:
1545:
1542:
1539:
1536:
1533:
1519:
1512:
1511:
1507:
1504:
1501:
1498:
1495:
1492:
1489:
1486:
1483:
1482:
1479:
1475:
1464:
1461:
1458:
1455:
1452:
1449:
1446:
1430:
1426:
1418:
1417:
1413:
1410:
1407:
1404:
1401:
1398:
1395:
1381:
1374:
1373:
1369:
1366:
1363:
1360:
1357:
1354:
1351:
1348:
1347:
1344:
1340:
1336:
1333:
1330:
1327:
1324:
1321:
1318:
1302:
1298:
1290:
1289:
1285:
1282:
1279:
1276:
1273:
1270:
1267:
1253:
1246:
1245:
1241:
1238:
1235:
1232:
1229:
1226:
1223:
1220:
1219:
1216:
1212:
1209:Eight rounds
1206:
1192:
1189:
1184:
1180:
1159:
1156:
1151:
1147:
1126:
1123:
1120:
1115:
1111:
1102:
1093:
1090:
1074:
1070:
1049:
1027:
1023:
1014:
996:
992:
983:
967:
945:
941:
918:
914:
891:
887:
883:
878:
874:
870:
865:
861:
838:
834:
825:
494:
492:
487:
484:
483:binary search
468:
460:
444:
413:
410:
390:
387:
384:
376:
359:
356:
353:
333:
330:
327:
319:
318:
317:
314:
296:
292:
285:
282:
277:
273:
265:
261:
258:
254:
247:
243:
239:
233:
227:
224:
221:
213:
199:
174:
170:
166:
163:
160:
157:
154:
149:
145:
141:
136:
132:
123:
119:
98:
78:
64:
61:
51:
49:
45:
41:
35:
33:
29:
25:
21:
2754:
2736:. Retrieved
2732:
2723:
2711:. Retrieved
2707:
2683:. Retrieved
2679:
2655:. Retrieved
2651:
2642:
2630:. Retrieved
2626:
2598:
2582:
2554:
2549:
2547:
2533:
2388:
2372:
2369:Use in norms
2212:
2057:
1904:
1758:
1614:
1477:
1472:Nine rounds
1342:
1214:
1100:
1099:
1091:
1013:lookup table
822:
488:
436:
315:
214:
70:
57:
36:
23:
19:
18:
2379:Grandmaster
1753:Ten rounds
433:Calculation
48:Grandmaster
32:Elo ratings
2738:22 October
2713:22 October
2685:22 October
2657:22 October
2632:22 October
2604:References
582:own_rating
519:own_rating
60:Elo rating
54:Definition
2443:−
1124:−
417:∞
363:∞
360:−
283:−
244:∑
2764:Category
2458:, where
906:, where
493:follows:
2652:Paxmans
780:return
543:return
491:Python
437:Since
50:(GM).
2733:Kivij
2627:Kivij
2550:lower
2375:norms
2362:+470
2302:0.95
2219:Score
2147:0.45
2064:Score
2045:+470
1988:0.95
1911:Score
1842:0.45
1765:Score
1746:+444
1692:0.94
1621:Score
1555:0.44
1484:Score
1465:+444
1414:0.94
1349:Score
1286:0.44
1221:Score
1101:Note:
795:print
783:round
750:score
693:0.001
678:while
645:->
639:float
633:score
534:float
531:->
525:float
457:is a
28:chess
26:) in
2740:2020
2715:2020
2708:FIDE
2687:2020
2680:FIDE
2659:2020
2634:2020
2585:skew
2359:+383
2356:+309
2353:+262
2350:+211
2347:+175
2344:+133
2341:+102
2299:0.91
2296:0.86
2293:0.82
2290:0.77
2287:0.73
2284:0.68
2281:0.64
2278:0.59
2275:0.55
2249:10½
2207:−36
2201:−102
2198:−133
2195:−175
2192:−211
2189:−262
2186:−309
2183:−383
2180:−470
2144:0.41
2141:0.36
2138:0.32
2135:0.27
2132:0.23
2129:0.18
2126:0.14
2123:0.09
2120:0.05
2042:+366
2039:+296
2036:+240
2033:+193
2030:+149
2027:+110
1985:0.90
1982:0.85
1979:0.80
1976:0.75
1973:0.70
1970:0.65
1967:0.60
1964:0.55
1899:−36
1893:−110
1890:−149
1887:−193
1884:−240
1881:−296
1878:−366
1875:−470
1839:0.40
1836:0.35
1833:0.30
1830:0.25
1827:0.20
1824:0.15
1821:0.10
1818:0.05
1743:+351
1740:+273
1737:+220
1734:+166
1731:+125
1689:0.89
1686:0.83
1683:0.78
1680:0.72
1677:0.67
1674:0.61
1671:0.56
1609:−43
1603:−125
1600:−166
1597:−220
1594:−273
1591:−351
1588:−444
1552:0.39
1549:0.33
1546:0.28
1543:0.22
1540:0.17
1537:0.11
1534:0.06
1462:+322
1459:+251
1456:+193
1453:+141
1411:0.87
1408:0.81
1405:0.75
1402:0.69
1399:0.63
1396:0.56
1337:−43
1331:−141
1328:−193
1325:−251
1322:−322
1319:−444
1283:0.37
1280:0.31
1277:0.25
1274:0.19
1271:0.13
1268:0.06
984:for
824:FIDE
765:else
747:<
690:>
675:4000
627:list
513:list
44:norm
40:FIDE
2446:400
2437:800
2338:+65
2335:+36
2204:−65
2024:+72
2021:+36
1938:9½
1896:−72
1792:4½
1728:+80
1725:+43
1645:8½
1606:−80
1450:+95
1447:+43
1370:7½
1334:−95
1242:3½
1193:800
1127:800
853:as
789:mid
777:mid
762:mid
741:mid
699:mid
648:int
612:def
597:for
591:400
546:sum
498:def
297:400
2766::
2731:.
2706:.
2695:^
2678:.
2667:^
2650:.
2625:.
2612:^
2590:-∞
2246:10
2243:9½
2237:8½
2231:7½
2225:6½
2094:5
2091:4½
2085:3½
2079:2½
2073:1½
1932:8½
1926:7½
1920:6½
1914:5½
1786:3½
1780:2½
1774:1½
1639:7½
1633:6½
1627:5½
1508:4
1505:3½
1499:2½
1493:1½
1364:6½
1358:5½
1352:4½
1236:2½
1230:1½
1205:.
810:))
804:(,
771:hi
756:lo
726:if
714:hi
708:lo
687:lo
681:hi
663:hi
657:lo
603:in
594:))
573:((
570:**
567:10
266:10
24:Rp
2742:.
2717:.
2689:.
2661:.
2636:.
2594:∞
2563:p
2517:p
2513:d
2509:+
2504:c
2500:r
2496:=
2491:p
2487:r
2466:p
2440:p
2434:=
2429:p
2425:d
2402:p
2398:d
2319:p
2315:d
2261:p
2240:9
2234:8
2228:7
2222:6
2164:p
2160:d
2106:p
2088:4
2082:3
2076:2
2070:1
2067:½
2005:p
2001:d
1950:p
1935:9
1929:8
1923:7
1917:6
1859:p
1855:d
1804:p
1789:4
1783:3
1777:2
1771:1
1768:½
1709:p
1705:d
1657:p
1642:8
1636:7
1630:6
1624:5
1572:p
1568:d
1520:p
1502:3
1496:2
1490:1
1487:½
1431:p
1427:d
1382:p
1367:7
1361:6
1355:5
1303:p
1299:d
1254:p
1239:3
1233:2
1227:1
1224:½
1190:=
1185:p
1181:d
1160:0
1157:=
1152:p
1148:d
1121:=
1116:p
1112:d
1075:p
1071:d
1050:p
1028:p
1024:d
997:p
993:d
968:p
946:p
942:d
919:c
915:r
892:p
888:d
884:+
879:c
875:r
871:=
866:p
862:r
839:p
835:r
807:4
798:(
792:)
786:(
774:=
768::
759:=
753::
744:)
738:,
732:(
723:2
720:/
717:)
711:+
705:(
702:=
696::
684:-
672:,
669:0
666:=
660:,
651::
642:)
636::
630:,
624::
618:(
609:)
588:/
585:)
579:-
564:+
561:1
558:(
555:/
552:1
549:(
537::
528:)
522::
516:,
510::
504:(
469:R
445:f
414:=
411:R
391:n
388:=
385:s
357:=
354:R
334:0
331:=
328:s
293:/
289:)
286:R
278:i
274:R
270:(
262:+
259:1
255:1
248:i
240:=
237:)
234:R
231:(
228:f
225:=
222:s
200:R
180:)
175:n
171:R
167:,
164:.
161:.
158:.
155:,
150:2
146:R
142:,
137:1
133:R
129:(
124:i
120:R
99:n
79:s
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