99:
1447:
1258:
939:
1475:
When the standard presumption that the plus-or-minus signs all take on the same value of +1 or all −1 is not true, then the line of text that immediately follows the equation must contain a brief description of the actual connection, if any, most often of the form
2328:
Heit, J. A.; Silverstein, M. D.; Mohr, D. N.; Petterson, T. M.; O'Fallon, W. M.; Melton, L. J. (1999-03-08). "Predictors of survival after deep vein thrombosis and pulmonary embolism: a population-based, cohort study".
1273:
1051:
1062:
733:
722:
486:
353:
1546:
may be anywhere in the range from 5.5 to 5.9 inclusive. In scientific usage, it sometimes refers to a probability of being within the stated interval, usually corresponding to either 1 or 2
1067:
738:
2277:
Naess, I. A.; Christiansen, S. C.; Romundstad, P.; Cannegieter, S. C.; Rosendaal, F. R.; Hammerstrøm, J. (2007). "Incidence and mortality of venous thrombosis: a population-based study".
3560:
1860: ), this is discouraged because the formatting may be stripped at a later date, changing the meaning. It also makes the meaning less accessible to blind users with
2414:
1480:
or similar. If a brief, simple description is not possible, the equation must be re-written to provide clarity; e.g. by introducing variables such as
2875:
1442:{\displaystyle \sin \left(x\right)=x-{\frac {x^{3}}{3!}}+{\frac {x^{5}}{5!}}-{\frac {x^{7}}{7!}}+\cdots \pm {\frac {1}{(2n+1)!}}x^{2n+1}+\cdots }
1253:{\displaystyle {\begin{aligned}x^{3}+y^{3}&=(x+y)\left((x-y)^{2}+xy\right)\\x^{3}-y^{3}&=(x-y)\left((x+y)^{2}-xy\right)\end{aligned}}}
957:
1456:
is odd or even; a rule which can be deduced from the first few terms. A more rigorous presentation would multiply each term by a factor of
2158:
934:{\displaystyle {\begin{aligned}\cos(A+B)&=\cos(A)\cos(B)-\sin(A)\sin(B)\\\cos(A-B)&=\cos(A)\cos(B)+\sin(A)\sin(B)\end{aligned}}}
1709:, this sign may indicate a dual voltage power supply, such as ±5 volts means +5 volts and −5 volts, when used with audio circuits and
154:
2381:
2248:
1691:, which is the range of values that are considered to be acceptable or safe, or which comply with some standard or with a contract.
623:
387:
3291:
2407:
1651:
to denote a moderate but significant advantage for White and Black, respectively. Weaker and stronger advantages are denoted by
283:
20:
3636:
186:
Other meanings occur in other fields, including medicine, engineering, chemistry, electronics, linguistics, and philosophy.
3641:
2135:
3583:
3646:
3306:
2400:
1534:
for an approximation is most commonly encountered in presenting the numerical value of a quantity, together with its
1791:
1558:
2264:
1648:
945:
150:
379:
3578:
2692:
2120:
1710:
1688:
1535:
1557:
Operations involving uncertain values should always try to preserve the uncertainty, in order to avoid
1498:, ... and specifying a value of +1 or −1 separately for each, or some appropriate relation, like
3651:
3605:
3588:
3474:
3049:
2392:
2125:
1809:
The rarer minus–plus sign is not generally found in legacy encodings, but is available in
Unicode as
1452:
Here, the plus-or-minus sign indicates that the term may be added or subtracted depending on whether
232:
224:
142:
3595:
3321:
3219:
3064:
2632:
2477:
2447:
1721:
1628:
1551:
146:
126:, it generally indicates a choice of exactly two possible values, one of which is obtained through
3610:
3600:
2310:
2164:
2130:
1547:
359:
158:
2202:
Brown, George W. (1982). "Standard deviation, standard error: Which 'standard' should we use?".
3631:
2947:
2890:
2377:
2354:
2346:
2302:
2294:
2244:
2238:
2219:
2178:
2073:
1981:
1874:
275:
3336:
3257:
3181:
2841:
2338:
2286:
2211:
203:
617:, but cases such as the trigonometric identity are most neatly written using the "∓" sign:
3567:
3509:
3124:
1699:
1539:
173:
2215:
3371:
2549:
2154:
1911:
162:
3625:
3459:
3079:
3007:
2826:
2803:
2290:
1861:
1667:
for a strong, potentially winning advantage, again for White and Black respectively.
1264:
949:
199:
165:. The sign may also represent an inclusive range of values that a reading might have.
2314:
3544:
3204:
2962:
2761:
2160:
A History of
Mathematical Notations, Volume I: Notations in Elementary Mathematics
2992:
2928:
2913:
2856:
2424:
1937:
1783:
1778:
1774:
1770:
1717:
1706:
1684:
131:
123:
2342:
172:, the sign indicates a clear advantage for the white player; the complementary
3432:
3234:
3162:
2526:
2428:
2102:
2092:
2082:
1974:
1766:
1762:
1758:
1754:
231:
symbol may be used to indicate a symbol that may be replaced by either of the
138:
2350:
2298:
1848:
Although these characters may be approximated by underlining or overlining a
3572:
3390:
2977:
2647:
2587:
2564:
2492:
1932:
1695:
2358:
2306:
2223:
3490:
3276:
3022:
2677:
2662:
1879:
1677:
127:
3528:
3417:
2602:
2057:
1735:
202:
in 1626, and the sign in its modern form was used as early as 1631, in
42:
1046:{\displaystyle x^{3}\pm y^{3}=(x\pm y)\left((x\mp y)^{2}\pm xy\right)}
98:
2738:
2507:
1263:
A related usage is found in this presentation of the formula for the
2114:
3139:
3094:
2617:
2462:
169:
97:
243:, allowing the formula to represent two values or two equations.
2784:
2396:
1834:
491:
can be interpreted as a shorthand for two equations: one with
717:{\displaystyle \cos(A\pm B)=\cos(A)\cos(B)\mp \sin(A)\sin(B)}
481:{\displaystyle \sin(A\pm B)=\sin(A)\cos(B)\pm \cos(A)\sin(B)}
348:{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}},}
1837:'plus-or-minus' and 'minus-or-plus' symbols are denoted
260:. This indicates that the equation has two solutions:
194:
A version of the sign, including also the French word
1276:
1065:
960:
736:
626:
390:
286:
2243:(2nd ed.), John Wiley & Sons, p. 272,
2061:
72:
67:
40:
33:
28:
1441:
1252:
1045:
933:
716:
480:
347:
182:indicates the same advantage for the black player.
274:. A common use of this notation is found in the
198:("or"), was used in its mathematical meaning by
1680:, it may mean "with or without" in some cases.
1468:is odd. In older texts one occasionally finds
2408:
2096:
2086:
2076:
8:
510:, is generally used in conjunction with the
495:on both sides of the equation, and one with
2415:
2401:
2393:
2265:Chess annotation symbols § Positions
2095:), whereas the minus–plus sign resembles
1418:
1384:
1359:
1353:
1334:
1328:
1309:
1303:
1275:
1226:
1177:
1164:
1136:
1087:
1074:
1066:
1064:
1023:
978:
965:
959:
737:
735:
625:
598:The above expression can be rewritten as
389:
358:which describes the two solutions to the
311:
305:
293:
285:
3561:Version of this table as a sortable list
2204:American Journal of Diseases of Children
2052:
2049:
2046:
2043:
2040:
2037:
2033:
2029:
2026:
2023:
2020:
2016:
2012:
2009:
2006:
2003:
1999:
1995:
1992:
1989:
1985:
1970:
1967:
1964:
1958:
1954:
1950:
1946:
1942:
1936:
1926:
1922:
1918:
1907:
1904:
1901:
1898:
1894:
1890:
1887:
1884:
1878:
2146:
1929:(equal sign on the non-numeric keypad).
90:∓, ∓, ∓
61:±, ±, ±
1787:. This location was copied to Unicode.
1550:(a probability of 68.3% or 95.4% in a
528:, which can be interpreted as meaning
118:, is a symbol with multiple meanings.
25:
2279:Journal of Thrombosis and Haemostasis
1478:"where the ‘±’ signs are independent"
7:
3413: ⟨ ⟩
2374:Linguistics, A Complete Introduction
2216:10.1001/archpedi.1982.03970460067015
1781:, the plus–minus symbol is code 0xB1
1056:which represents the two equations:
727:which represents the two equations:
16:Symbol combining both + and - signs
2072:The plus–minus sign resembles the
591:always has the opposite sign to
145:, the sign commonly indicates the
14:
1698:, the sign is used to indicate a
1659:for only a slight advantage, and
2291:10.1111/j.1538-7836.2007.02450.x
1590:must return a value of the form
2179:"Definition of PLUS/MINUS SIGN"
253:, one may give the solution as
1405:
1390:
1223:
1210:
1202:
1190:
1133:
1120:
1112:
1100:
1020:
1007:
999:
987:
924:
918:
909:
903:
891:
885:
876:
870:
854:
842:
829:
823:
814:
808:
796:
790:
781:
775:
759:
747:
711:
705:
696:
690:
678:
672:
663:
657:
645:
633:
475:
469:
460:
454:
442:
436:
427:
421:
409:
397:
1:
2331:Archives of Internal Medicine
2136:Table of mathematical symbols
1822:so can be used in HTML using
514:sign, in such expressions as
153:bounding a range of possible
1575:, any operation of the form
157:in a measurement, often the
1464:is even, and −1 when
21:Plus–minus (disambiguation)
3668:
2876:inverted ! and ?
2343:10.1001/archinte.159.5.445
18:
3556:
3444:
3348:
3292:sound recording copyright
3246:
3151:
3034:
2902:
2815:
2750:
2576:
2436:
2097:
2087:
2077:
1687:, the sign indicates the
2117:(approximately equal to)
1472:, which means the same.
944:Another example is the
3409: { }
3401: ( )
3386: « »
3382: ‹ ›
3367: " "
3363: ' '
3359: “ ”
3355: ‘ ’
2163:, Open Court, p.
1910:(numbers typed on the
1790:The symbol also has a
1711:operational amplifiers
1460:, which gives +1 when
1443:
1267:of the sine function:
1254:
1047:
935:
718:
482:
380:trigonometric identity
349:
130:and the other through
103:
3637:Elementary arithmetic
2121:Engineering tolerance
1444:
1255:
1048:
936:
719:
483:
350:
225:mathematical formulas
143:experimental sciences
101:
3642:Mathematical symbols
3606:Japanese punctuation
3307:registered trademark
3192: |
3050:plus and minus signs
2443:
2237:Eade, James (2005),
2126:Plus and minus signs
1720:, it may indicate a
1559:propagation of error
1274:
1063:
958:
734:
624:
388:
284:
233:plus and minus signs
19:For other uses, see
3596:Chinese punctuation
3322:service mark symbol
3065:multiplication sign
2583: &
2183:merriam-webster.com
1794:representations of
1722:distinctive feature
1629:interval arithmetic
1552:normal distribution
1548:standard deviations
1538:or its statistical
208:Clavis Mathematicae
147:confidence interval
3647:Sign (mathematics)
3611:Korean punctuation
3601:Hebrew punctuation
2131:Sign (mathematics)
2074:Chinese characters
2068:Similar characters
1984:(in Insert mode):
1820:MINUS-OR-PLUS SIGN
1439:
1250:
1248:
1043:
931:
929:
714:
478:
360:quadratic equation
345:
159:standard deviation
112:plus-or-minus sign
104:
102:Plus or minus sign
86:MINUS-OR-PLUS SIGN
3619:
3618:
2948:ordinal indicator
2891:irony punctuation
2263:For details, see
2240:Chess For Dummies
2060:shortcut string:
1973:(second works on
1412:
1373:
1348:
1323:
340:
329:
276:quadratic formula
96:
95:
3659:
3568:Currency symbols
3548:
3547:
3541:
3533:
3532:
3531:(paragraph mark)
3525:
3521:
3513:
3512:
3506:
3502:
3494:
3493:
3487:
3479:
3478:
3471:
3463:
3462:
3456:
3452:
3436:
3435:
3429:
3421:
3420:
3414:
3410:
3406:
3402:
3394:
3393:
3387:
3383:
3375:
3374:
3368:
3364:
3360:
3356:
3340:
3339:
3337:trademark symbol
3333:
3325:
3324:
3318:
3310:
3309:
3303:
3295:
3294:
3288:
3280:
3279:
3273:
3271:
3261:
3260:
3258:copyright symbol
3254:
3238:
3237:
3231:
3223:
3222:
3216:
3208:
3207:
3201:
3197:
3193:
3185:
3184:
3178:
3176:
3166:
3165:
3159:
3143:
3142:
3136:
3128:
3127:
3121:
3113:
3112:
3106:
3098:
3097:
3091:
3083:
3082:
3076:
3068:
3067:
3061:
3053:
3052:
3046:
3042:
3026:
3025:
3019:
3011:
3010:
3004:
2996:
2995:
2989:
2981:
2980:
2974:
2966:
2965:
2959:
2951:
2950:
2944:
2940:
2932:
2931:
2925:
2917:
2916:
2910:
2894:
2893:
2887:
2879:
2878:
2872:
2868:
2860:
2859:
2853:
2845:
2844:
2842:exclamation mark
2838:
2830:
2829:
2823:
2807:
2806:
2800:
2796:
2788:
2787:
2781:
2777:
2773:
2765:
2764:
2758:
2742:
2741:
2735:
2733:
2730:
2727:
2723:
2720:
2716:
2713:
2709:
2706:
2696:
2695:
2689:
2681:
2680:
2674:
2666:
2665:
2659:
2651:
2650:
2644:
2636:
2635:
2629:
2621:
2620:
2614:
2606:
2605:
2599:
2591:
2590:
2584:
2568:
2567:
2561:
2553:
2552:
2546:
2542:
2538:
2530:
2529:
2523:
2519:
2511:
2510:
2504:
2496:
2495:
2489:
2481:
2480:
2474:
2466:
2465:
2459:
2451:
2450:
2444:
2417:
2410:
2403:
2394:
2388:
2387:
2372:Hornsby, David.
2369:
2363:
2362:
2325:
2319:
2318:
2274:
2268:
2261:
2255:
2253:
2234:
2228:
2227:
2199:
2193:
2192:
2190:
2189:
2175:
2169:
2167:
2151:
2100:
2099:
2090:
2089:
2080:
2079:
2063:
1963:
1859:
1855:
1851:
1844:
1840:
1829:
1825:
1821:
1818:
1815:
1813:
1805:
1801:
1797:
1750:
1747:
1744:
1742:
1666:
1662:
1658:
1654:
1649:chess annotation
1646:
1642:
1626:
1622:
1618:
1607:
1603:
1589:
1574:
1545:
1533:
1521:
1497:
1488:
1471:
1467:
1463:
1459:
1455:
1448:
1446:
1445:
1440:
1432:
1431:
1413:
1411:
1385:
1374:
1372:
1364:
1363:
1354:
1349:
1347:
1339:
1338:
1329:
1324:
1322:
1314:
1313:
1304:
1293:
1259:
1257:
1256:
1251:
1249:
1245:
1241:
1231:
1230:
1182:
1181:
1169:
1168:
1155:
1151:
1141:
1140:
1092:
1091:
1079:
1078:
1052:
1050:
1049:
1044:
1042:
1038:
1028:
1027:
983:
982:
970:
969:
940:
938:
937:
932:
930:
723:
721:
720:
715:
616:
613:to avoid use of
612:
594:
590:
586:
572:
555:
541:
527:
513:
509:
498:
494:
487:
485:
484:
479:
375:
354:
352:
351:
346:
341:
339:
331:
330:
316:
315:
306:
294:
273:
266:
259:
252:
242:
238:
230:
204:William Oughtred
180:
117:
91:
87:
84:
81:
79:
62:
58:
55:
52:
50:
26:
3667:
3666:
3662:
3661:
3660:
3658:
3657:
3656:
3622:
3621:
3620:
3615:
3552:
3543:
3540: §
3539:
3537:
3527:
3524: ⸿
3523:
3520: ¶
3519:
3517:
3508:
3505: ⌑
3504:
3501: ◊
3500:
3498:
3489:
3486: ☞
3485:
3483:
3477:(hedera, aldus)
3473:
3470: ❧
3469:
3467:
3458:
3455: ‡
3454:
3451: †
3450:
3448:
3440:
3431:
3428: ”
3427:
3425:
3416:
3412:
3408:
3404:
3400:
3398:
3389:
3385:
3381:
3379:
3370:
3366:
3362:
3358:
3354:
3352:
3344:
3335:
3331:
3329:
3320:
3316:
3314:
3305:
3302: ®
3301:
3299:
3290:
3287: ℗
3286:
3284:
3275:
3269:
3267:
3265:
3256:
3253: ©
3252:
3250:
3242:
3233:
3230: ·
3229:
3227:
3218:
3215: •
3214:
3212:
3203:
3200: ‖
3199:
3196: ¦
3195:
3191:
3189:
3180:
3174:
3172:
3170:
3161:
3158: _
3157:
3155:
3147:
3138:
3135: ^
3134:
3132:
3125:minus-plus sign
3123:
3120: ∓
3119:
3117:
3110:plus–minus sign
3108:
3105: ±
3104:
3102:
3093:
3090: ~
3089:
3087:
3078:
3075: ÷
3074:
3072:
3063:
3060: ×
3059:
3057:
3048:
3045: −
3044:
3041: +
3040:
3038:
3030:
3021:
3018: ⌀
3017:
3015:
3006:
3003: °
3002:
3000:
2991:
2988: ‱
2987:
2985:
2976:
2973: ‰
2972:
2970:
2961:
2958: %
2957:
2955:
2946:
2943: ª
2942:
2939: º
2938:
2936:
2927:
2924: №
2923:
2921:
2912:
2909: #
2908:
2906:
2898:
2889:
2886: ⸮
2885:
2883:
2874:
2871: ¿
2870:
2867: ¡
2866:
2864:
2855:
2852: ‽
2851:
2849:
2840:
2837: !
2836:
2834:
2825:
2822: ?
2821:
2819:
2811:
2802:
2799: ⸗
2798:
2795: ⹀
2794:
2792:
2783:
2780: —
2779:
2776: –
2775:
2772: ‒
2771:
2769:
2760:
2757: -
2756:
2754:
2746:
2737:
2731:
2728:
2725:
2721:
2718:
2714:
2711:
2707:
2704:
2702:
2700:
2691:
2688: ⁂
2687:
2685:
2676:
2673: *
2672:
2670:
2661:
2658: …
2657:
2655:
2646:
2643: \
2642:
2640:
2631:
2628: /
2627:
2625:
2616:
2613: ^
2612:
2610:
2601:
2598: @
2597:
2595:
2586:
2582:
2580:
2572:
2563:
2560: .
2559:
2557:
2548:
2545: ‴
2544:
2541: ″
2540:
2537: ′
2536:
2534:
2525:
2522: '
2521:
2518: ’
2517:
2515:
2506:
2503: ‐
2502:
2500:
2491:
2488: ;
2487:
2485:
2476:
2473: :
2472:
2470:
2461:
2458: ,
2457:
2455:
2446:
2442:
2440:
2432:
2421:
2391:
2384:
2371:
2370:
2366:
2327:
2326:
2322:
2276:
2275:
2271:
2262:
2258:
2251:
2236:
2235:
2231:
2210:(10): 937–941.
2201:
2200:
2196:
2187:
2185:
2177:
2176:
2172:
2155:Cajori, Florian
2153:
2152:
2148:
2144:
2111:
2070:
2054:
2051:
2048:
2045:
2042:
2039:
2035:
2031:
2028:
2025:
2022:
2018:
2014:
2011:
2008:
2005:
2001:
1997:
1994:
1991:
1987:
1982:Vim text editor
1972:
1969:
1966:
1961:
1960:
1956:
1952:
1948:
1944:
1940:
1928:
1924:
1920:
1909:
1906:
1903:
1900:
1896:
1892:
1889:
1886:
1882:
1871:
1857:
1853:
1849:
1845:, respectively.
1842:
1838:
1827:
1823:
1819:
1816:
1811:
1810:
1803:
1799:
1795:
1786:
1749:PLUS-MINUS SIGN
1748:
1745:
1740:
1739:
1731:
1700:racemic mixture
1673:
1664:
1660:
1656:
1652:
1644:
1640:
1637:
1624:
1620:
1609:
1605:
1591:
1576:
1562:
1543:
1542:. For example,
1540:margin of error
1531:
1528:
1519:
1512:
1505:
1499:
1496:
1490:
1487:
1481:
1469:
1465:
1461:
1457:
1453:
1414:
1389:
1365:
1355:
1340:
1330:
1315:
1305:
1283:
1272:
1271:
1247:
1246:
1222:
1209:
1205:
1183:
1173:
1160:
1157:
1156:
1132:
1119:
1115:
1093:
1083:
1070:
1061:
1060:
1019:
1006:
1002:
974:
961:
956:
955:
950:perfect squares
928:
927:
857:
833:
832:
762:
732:
731:
622:
621:
614:
599:
592:
588:
574:
560:
543:
529:
515:
511:
507:
504:minus–plus sign
499:on both sides.
496:
492:
386:
385:
378:Similarly, the
362:
332:
307:
295:
282:
281:
268:
261:
254:
247:
240:
236:
228:
221:
216:
192:
178:
174:minus-plus sign
115:
108:plus–minus sign
89:
85:
82:
77:
76:
60:
57:PLUS-MINUS SIGN
56:
53:
48:
47:
36:
35:Plus–minus sign
24:
17:
12:
11:
5:
3665:
3663:
3655:
3654:
3649:
3644:
3639:
3634:
3624:
3623:
3617:
3616:
3614:
3613:
3608:
3603:
3598:
3592:
3591:
3586:
3581:
3576:
3570:
3564:
3563:
3557:
3554:
3553:
3551:
3550:
3535:
3515:
3496:
3481:
3465:
3445:
3442:
3441:
3439:
3438:
3423:
3405:
3396:
3377:
3372:quotation mark
3349:
3346:
3345:
3343:
3342:
3332:
3327:
3317:
3312:
3297:
3282:
3263:
3247:
3244:
3243:
3241:
3240:
3225:
3210:
3187:
3168:
3152:
3149:
3148:
3146:
3145:
3130:
3115:
3100:
3085:
3070:
3055:
3035:
3032:
3031:
3029:
3028:
3013:
2998:
2983:
2968:
2953:
2934:
2919:
2903:
2900:
2899:
2897:
2896:
2881:
2862:
2847:
2832:
2816:
2813:
2812:
2810:
2809:
2790:
2767:
2751:
2748:
2747:
2745:
2744:
2698:
2683:
2668:
2653:
2638:
2623:
2608:
2593:
2577:
2574:
2573:
2571:
2570:
2555:
2532:
2513:
2498:
2483:
2468:
2453:
2437:
2434:
2433:
2422:
2420:
2419:
2412:
2405:
2397:
2390:
2389:
2382:
2376:. p. 99.
2364:
2337:(5): 445–453.
2320:
2285:(4): 692–699.
2269:
2256:
2249:
2229:
2194:
2170:
2145:
2143:
2140:
2139:
2138:
2133:
2128:
2123:
2118:
2110:
2107:
2069:
2066:
2065:
2064:
2055:
1978:
1930:
1915:
1912:numeric keypad
1870:
1867:
1866:
1865:
1862:screen readers
1852:symbol (
1846:
1831:
1807:
1788:
1782:
1751:
1730:
1727:
1726:
1725:
1714:
1703:
1692:
1681:
1672:
1671:Other meanings
1669:
1636:
1633:
1627:updated using
1527:
1524:
1517:
1510:
1503:
1494:
1485:
1450:
1449:
1438:
1435:
1430:
1427:
1424:
1421:
1417:
1410:
1407:
1404:
1401:
1398:
1395:
1392:
1388:
1383:
1380:
1377:
1371:
1368:
1362:
1358:
1352:
1346:
1343:
1337:
1333:
1327:
1321:
1318:
1312:
1308:
1302:
1299:
1296:
1292:
1289:
1286:
1282:
1279:
1261:
1260:
1244:
1240:
1237:
1234:
1229:
1225:
1221:
1218:
1215:
1212:
1208:
1204:
1201:
1198:
1195:
1192:
1189:
1186:
1184:
1180:
1176:
1172:
1167:
1163:
1159:
1158:
1154:
1150:
1147:
1144:
1139:
1135:
1131:
1128:
1125:
1122:
1118:
1114:
1111:
1108:
1105:
1102:
1099:
1096:
1094:
1090:
1086:
1082:
1077:
1073:
1069:
1068:
1054:
1053:
1041:
1037:
1034:
1031:
1026:
1022:
1018:
1015:
1012:
1009:
1005:
1001:
998:
995:
992:
989:
986:
981:
977:
973:
968:
964:
942:
941:
926:
923:
920:
917:
914:
911:
908:
905:
902:
899:
896:
893:
890:
887:
884:
881:
878:
875:
872:
869:
866:
863:
860:
858:
856:
853:
850:
847:
844:
841:
838:
835:
834:
831:
828:
825:
822:
819:
816:
813:
810:
807:
804:
801:
798:
795:
792:
789:
786:
783:
780:
777:
774:
771:
768:
765:
763:
761:
758:
755:
752:
749:
746:
743:
740:
739:
725:
724:
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:
559:
489:
488:
477:
474:
471:
468:
465:
462:
459:
456:
453:
450:
447:
444:
441:
438:
435:
432:
429:
426:
423:
420:
417:
414:
411:
408:
405:
402:
399:
396:
393:
356:
355:
344:
338:
335:
328:
325:
322:
319:
314:
310:
304:
301:
298:
292:
289:
220:
219:In mathematics
217:
215:
212:
191:
188:
184:
183:
166:
163:standard error
135:
94:
93:
74:
70:
69:
65:
64:
45:
38:
37:
34:
31:
30:
15:
13:
10:
9:
6:
4:
3:
2:
3664:
3653:
3650:
3648:
3645:
3643:
3640:
3638:
3635:
3633:
3630:
3629:
3627:
3612:
3609:
3607:
3604:
3602:
3599:
3597:
3594:
3593:
3590:
3587:
3585:
3582:
3580:
3579:Logic symbols
3577:
3574:
3571:
3569:
3566:
3565:
3562:
3559:
3558:
3555:
3546:
3542:
3536:
3530:
3526:
3516:
3511:
3507:
3497:
3492:
3488:
3482:
3476:
3472:
3466:
3461:
3457:
3447:
3446:
3443:
3434:
3430:
3424:
3419:
3415:
3397:
3392:
3388:
3378:
3373:
3369:
3351:
3350:
3347:
3338:
3334:
3328:
3323:
3319:
3313:
3308:
3304:
3298:
3293:
3289:
3283:
3278:
3274:
3264:
3259:
3255:
3249:
3248:
3245:
3236:
3232:
3226:
3221:
3217:
3211:
3206:
3202:
3188:
3183:
3179:
3169:
3164:
3160:
3154:
3153:
3150:
3141:
3137:
3131:
3126:
3122:
3116:
3111:
3107:
3101:
3096:
3092:
3086:
3081:
3080:division sign
3077:
3071:
3066:
3062:
3056:
3051:
3047:
3037:
3036:
3033:
3024:
3023:diameter sign
3020:
3014:
3009:
3008:degree symbol
3005:
2999:
2994:
2990:
2984:
2979:
2975:
2969:
2964:
2960:
2954:
2949:
2945:
2935:
2930:
2926:
2920:
2915:
2911:
2905:
2904:
2901:
2892:
2888:
2882:
2877:
2873:
2863:
2858:
2854:
2848:
2843:
2839:
2833:
2828:
2827:question mark
2824:
2818:
2817:
2814:
2805:
2804:double hyphen
2801:
2791:
2786:
2782:
2768:
2763:
2759:
2753:
2752:
2749:
2740:
2736:
2699:
2694:
2690:
2684:
2679:
2675:
2669:
2664:
2660:
2654:
2649:
2645:
2639:
2634:
2630:
2624:
2619:
2615:
2609:
2604:
2600:
2594:
2589:
2585:
2579:
2578:
2575:
2566:
2562:
2556:
2551:
2547:
2533:
2528:
2524:
2514:
2509:
2505:
2499:
2494:
2490:
2484:
2479:
2475:
2469:
2464:
2460:
2454:
2449:
2445:
2439:
2438:
2435:
2430:
2429:typographical
2426:
2418:
2413:
2411:
2406:
2404:
2399:
2398:
2395:
2385:
2383:9781444180336
2379:
2375:
2368:
2365:
2360:
2356:
2352:
2348:
2344:
2340:
2336:
2332:
2324:
2321:
2316:
2312:
2308:
2304:
2300:
2296:
2292:
2288:
2284:
2280:
2273:
2270:
2266:
2260:
2257:
2252:
2250:9780471774334
2246:
2242:
2241:
2233:
2230:
2225:
2221:
2217:
2213:
2209:
2205:
2198:
2195:
2184:
2180:
2174:
2171:
2166:
2162:
2161:
2156:
2150:
2147:
2141:
2137:
2134:
2132:
2129:
2127:
2124:
2122:
2119:
2116:
2113:
2112:
2108:
2106:
2104:
2094:
2084:
2075:
2067:
2059:
2056:
1983:
1979:
1976:
1939:
1934:
1931:
1916:
1913:
1881:
1876:
1873:
1872:
1868:
1863:
1847:
1836:
1832:
1808:
1793:
1789:
1785:
1780:
1776:
1772:
1768:
1764:
1760:
1756:
1752:
1737:
1733:
1732:
1728:
1723:
1719:
1715:
1712:
1708:
1704:
1701:
1697:
1693:
1690:
1686:
1682:
1679:
1675:
1674:
1670:
1668:
1650:
1634:
1632:
1630:
1623:is the range
1616:
1612:
1602:
1598:
1594:
1587:
1583:
1579:
1573:
1569:
1565:
1560:
1555:
1553:
1549:
1541:
1537:
1526:In statistics
1525:
1523:
1516:
1509:
1502:
1493:
1484:
1479:
1473:
1436:
1433:
1428:
1425:
1422:
1419:
1415:
1408:
1402:
1399:
1396:
1393:
1386:
1381:
1378:
1375:
1369:
1366:
1360:
1356:
1350:
1344:
1341:
1335:
1331:
1325:
1319:
1316:
1310:
1306:
1300:
1297:
1294:
1290:
1287:
1284:
1280:
1277:
1270:
1269:
1268:
1266:
1265:Taylor series
1242:
1238:
1235:
1232:
1227:
1219:
1216:
1213:
1206:
1199:
1196:
1193:
1187:
1185:
1178:
1174:
1170:
1165:
1161:
1152:
1148:
1145:
1142:
1137:
1129:
1126:
1123:
1116:
1109:
1106:
1103:
1097:
1095:
1088:
1084:
1080:
1075:
1071:
1059:
1058:
1057:
1039:
1035:
1032:
1029:
1024:
1016:
1013:
1010:
1003:
996:
993:
990:
984:
979:
975:
971:
966:
962:
954:
953:
952:
951:
947:
921:
915:
912:
906:
900:
897:
894:
888:
882:
879:
873:
867:
864:
861:
859:
851:
848:
845:
839:
836:
826:
820:
817:
811:
805:
802:
799:
793:
787:
784:
778:
772:
769:
766:
764:
756:
753:
750:
744:
741:
730:
729:
728:
708:
702:
699:
693:
687:
684:
681:
675:
669:
666:
660:
654:
651:
648:
642:
639:
636:
630:
627:
620:
619:
618:
610:
606:
602:
596:
585:
581:
577:
571:
567:
563:
557:
554:
550:
546:
540:
536:
532:
526:
522:
518:
505:
500:
472:
466:
463:
457:
451:
448:
445:
439:
433:
430:
424:
418:
415:
412:
406:
403:
400:
394:
391:
384:
383:
382:
381:
376:
373:
369:
365:
361:
342:
336:
333:
326:
323:
320:
317:
312:
308:
302:
299:
296:
290:
287:
280:
279:
278:
277:
271:
264:
257:
250:
244:
234:
226:
218:
213:
211:
209:
205:
201:
200:Albert Girard
197:
189:
187:
181:
175:
171:
167:
164:
160:
156:
152:
148:
144:
140:
136:
133:
129:
125:
121:
120:
119:
113:
109:
100:
75:
71:
66:
46:
44:
39:
32:
27:
22:
3584:Math symbols
3545:section mark
3205:vertical bar
3109:
2963:percent sign
2762:hyphen-minus
2373:
2367:
2334:
2330:
2323:
2282:
2278:
2272:
2259:
2239:
2232:
2207:
2203:
2197:
2186:. Retrieved
2182:
2173:
2159:
2149:
2071:
1824:∓
1800:±
1647:are used in
1639:The symbols
1638:
1614:
1610:
1600:
1596:
1592:
1585:
1581:
1577:
1571:
1567:
1563:
1556:
1529:
1522:or similar.
1514:
1507:
1500:
1491:
1482:
1477:
1474:
1451:
1262:
1055:
943:
726:
608:
604:
600:
597:
583:
579:
575:
569:
565:
561:
552:
548:
544:
538:
534:
530:
524:
520:
516:
503:
501:
490:
377:
371:
367:
363:
357:
269:
262:
255:
248:
245:
222:
207:
195:
193:
185:
177:
111:
107:
105:
3652:Subtraction
2993:basis point
2929:numero sign
2914:number sign
2857:interrobang
2425:punctuation
1917:Macintosh:
1828:∓
1792:HTML entity
1724:, such as .
1718:linguistics
1707:electronics
1685:engineering
1530:The use of
151:uncertainty
132:subtraction
124:mathematics
3626:Categories
3589:Whitespace
3573:Diacritics
3433:ditto mark
3235:interpunct
3163:underscore
2527:apostrophe
2427:and other
2188:2020-08-28
2142:References
2103:Radical 51
2093:Radical 33
2083:Radical 32
1975:Chromebook
1856: or
1804:±
1755:ISO 8859-1
1458:(−1)
139:statistics
3575:(accents)
3391:guillemet
2978:per mille
2648:backslash
2588:ampersand
2565:full stop
2493:semicolon
2351:0003-9926
2299:1538-7933
1935:systems:
1933:Unix-like
1729:Encodings
1696:chemistry
1689:tolerance
1544:5.7 ± 0.2
1536:tolerance
1470:(−)
1437:⋯
1382:±
1379:⋯
1351:−
1301:−
1281:
1233:−
1197:−
1171:−
1127:−
1030:±
1014:∓
994:±
972:±
946:conjugate
916:
901:
883:
868:
849:−
840:
821:
806:
800:−
788:
773:
745:
703:
688:
682:∓
670:
655:
640:±
631:
467:
452:
446:±
434:
419:
404:±
395:
318:−
303:±
297:−
3632:Addition
3491:manicule
3277:copyleft
2693:asterism
2678:asterisk
2663:ellipsis
2359:10074952
2315:23648224
2307:17367492
2157:(1928),
2109:See also
1919:⌥ Option
1817:∓
1796:±
1678:medicine
1635:In chess
1604:, where
128:addition
83:∓
73:See also
41:In
3529:pilcrow
3510:lozenge
3475:fleuron
3418:bracket
3272:
3268:
3177:
3173:
2734:
2703:
2603:at sign
2431:symbols
2423:Common
2224:7124681
2058:AutoCAD
1980:In the
1951:⇧ Shift
1938:Compose
1923:⇧ Shift
1875:Windows
1736:Unicode
948:of the
587:). The
190:History
68:Related
43:Unicode
3549:
3538:
3534:
3522:
3518:
3514:
3503:
3499:
3495:
3484:
3480:
3468:
3464:
3460:dagger
3453:
3449:
3437:
3426:
3422:
3411:
3407:
3403:
3399:
3395:
3384:
3380:
3376:
3365:
3361:
3357:
3353:
3341:
3330:
3326:
3315:
3311:
3300:
3296:
3285:
3281:
3266:
3262:
3251:
3239:
3228:
3224:
3220:bullet
3213:
3209:
3198:
3194:
3190:
3186:
3171:
3167:
3156:
3144:
3133:
3129:
3118:
3114:
3103:
3099:
3088:
3084:
3073:
3069:
3058:
3054:
3043:
3039:
3027:
3016:
3012:
3001:
2997:
2986:
2982:
2971:
2967:
2956:
2952:
2941:
2937:
2933:
2922:
2918:
2907:
2895:
2884:
2880:
2869:
2865:
2861:
2850:
2846:
2835:
2831:
2820:
2808:
2797:
2793:
2789:
2778:
2774:
2770:
2766:
2755:
2743:
2739:dinkus
2732:
2729:
2726:
2722:
2719:
2715:
2712:
2708:
2705:
2701:
2697:
2686:
2682:
2671:
2667:
2656:
2652:
2641:
2637:
2626:
2622:
2611:
2607:
2596:
2592:
2581:
2569:
2558:
2554:
2543:
2539:
2535:
2531:
2520:
2516:
2512:
2508:hyphen
2501:
2497:
2486:
2482:
2471:
2467:
2456:
2452:
2441:
2380:
2357:
2349:
2313:
2305:
2297:
2247:
2222:
2085:) and
1962:
1869:Typing
1814:
1812:U+2213
1802:, and
1777:, and
1746:±
1743:
1741:U+00B1
227:, the
155:errors
80:
78:U+2213
54:±
51:
49:U+00B1
3140:caret
3095:tilde
2633:slash
2618:caret
2550:prime
2478:colon
2463:comma
2448:space
2311:S2CID
1971:space
1561:. If
556:(but
214:Usage
170:chess
2785:dash
2378:ISBN
2355:PMID
2347:ISSN
2303:PMID
2295:ISSN
2245:ISBN
2220:PMID
2034:Ctrl
2017:Ctrl
2000:Ctrl
1986:Ctrl
1955:Ctrl
1841:and
1663:and
1655:and
1643:and
1619:and
502:The
374:= 0.
272:= −3
267:and
265:= +3
258:= ±3
141:and
106:The
3182:tie
2339:doi
2335:159
2287:doi
2212:doi
2208:136
2165:245
2105:).
2062:%%p
2032:or
2015:or
1998:or
1949:or
1895:Alt
1893:or
1880:Alt
1843:\mp
1839:\pm
1835:TeX
1833:In
1826:or
1784:hex
1779:-16
1775:-15
1771:-13
1753:In
1734:In
1716:In
1705:In
1694:In
1683:In
1676:In
1608:is
1554:).
1513:· (
1278:sin
913:sin
898:sin
880:cos
865:cos
837:cos
818:sin
803:sin
785:cos
770:cos
742:cos
700:sin
685:sin
667:cos
652:cos
628:cos
603:± (
573:or
558:not
542:or
464:sin
449:cos
431:cos
416:sin
392:sin
251:= 9
246:If
239:or
223:In
206:'s
168:In
161:or
149:or
137:In
122:In
110:or
3628::
2353:.
2345:.
2333:.
2309:.
2301:.
2293:.
2281:.
2218:.
2206:.
2181:.
1914:).
1877::
1798:,
1773:,
1769:,
1767:-9
1765:,
1763:-8
1761:,
1759:-7
1757:,
1738::
1665:–+
1661:+–
1631:.
1599:±
1595:=
1580:=
1570:±
1566:=
1506:=
1489:,
607:−
595:.
582:−
578:−
568:+
564:+
551:+
547:−
537:−
533:+
523:∓
519:±
506:,
370:+
368:bx
366:+
364:ax
235:,
210:.
196:ou
176:,
114:,
3270:©
3175:⁀
2724:*
2717:*
2710:*
2416:e
2409:t
2402:v
2386:.
2361:.
2341::
2317:.
2289::
2283:5
2267:.
2254:.
2226:.
2214::
2191:.
2168:.
2115:≈
2101:(
2098:干
2091:(
2088:士
2081:(
2078:土
2053:1
2050:B
2047:0
2044:0
2041:u
2038:v
2036:+
2030:1
2027:B
2024:x
2021:v
2019:+
2013:7
2010:7
2007:1
2004:v
2002:+
1996:-
1993:+
1990:k
1988:+
1977:)
1968:1
1965:B
1959:u
1957:+
1953:+
1947:-
1945:,
1943:+
1941:,
1927:=
1925:+
1921:+
1908:7
1905:7
1902:1
1899:0
1897:+
1891:1
1888:4
1885:2
1883:+
1864:.
1858:+
1854:+
1850:+
1830:.
1806:.
1713:.
1702:.
1657:⩱
1653:⩲
1645:∓
1641:±
1625:b
1621:d
1617:)
1615:a
1613:(
1611:f
1606:c
1601:d
1597:c
1593:m
1588:)
1586:n
1584:(
1582:f
1578:m
1572:b
1568:a
1564:n
1532:±
1520:)
1518:2
1515:s
1511:1
1508:s
1504:3
1501:s
1495:2
1492:s
1486:1
1483:s
1466:n
1462:n
1454:n
1434:+
1429:1
1426:+
1423:n
1420:2
1416:x
1409:!
1406:)
1403:1
1400:+
1397:n
1394:2
1391:(
1387:1
1376:+
1370:!
1367:7
1361:7
1357:x
1345:!
1342:5
1336:5
1332:x
1326:+
1320:!
1317:3
1311:3
1307:x
1298:x
1295:=
1291:)
1288:x
1285:(
1243:)
1239:y
1236:x
1228:2
1224:)
1220:y
1217:+
1214:x
1211:(
1207:(
1203:)
1200:y
1194:x
1191:(
1188:=
1179:3
1175:y
1166:3
1162:x
1153:)
1149:y
1146:x
1143:+
1138:2
1134:)
1130:y
1124:x
1121:(
1117:(
1113:)
1110:y
1107:+
1104:x
1101:(
1098:=
1089:3
1085:y
1081:+
1076:3
1072:x
1040:)
1036:y
1033:x
1025:2
1021:)
1017:y
1011:x
1008:(
1004:(
1000:)
997:y
991:x
988:(
985:=
980:3
976:y
967:3
963:x
925:)
922:B
919:(
910:)
907:A
904:(
895:+
892:)
889:B
886:(
877:)
874:A
871:(
862:=
855:)
852:B
846:A
843:(
830:)
827:B
824:(
815:)
812:A
809:(
797:)
794:B
791:(
782:)
779:A
776:(
767:=
760:)
757:B
754:+
751:A
748:(
712:)
709:B
706:(
697:)
694:A
691:(
679:)
676:B
673:(
664:)
661:A
658:(
649:=
646:)
643:B
637:A
634:(
615:∓
611:)
609:z
605:y
601:x
593:±
589:∓
584:z
580:y
576:x
570:z
566:y
562:x
553:z
549:y
545:x
539:z
535:y
531:x
525:z
521:y
517:x
512:±
508:∓
497:−
493:+
476:)
473:B
470:(
461:)
458:A
455:(
443:)
440:B
437:(
428:)
425:A
422:(
413:=
410:)
407:B
401:A
398:(
372:c
343:,
337:a
334:2
327:c
324:a
321:4
313:2
309:b
300:b
291:=
288:x
270:x
263:x
256:x
249:x
241:−
237:+
229:±
179:∓
134:.
116:±
92:)
88:(
63:)
59:(
29:±
23:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
