Knowledge (XXG)

Plus and minus signs

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the Unicode standard provides the same interpretation for the equivalent code values, without adding to or subtracting from their semantics. The Unicode standard supplies unambiguous codes elsewhere for the most useful particular interpretations of these ASCII values; the corresponding unambiguous characters are cross-referenced in the character names list for this block. In a few cases, the Unicode standard indicates the generic interpretation of an ASCII code in the name of the corresponding Unicode character, for example U+0027 is APOSTROPHE-QUOTE'.
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Some ASCII characters have multiple uses, either through ambiguity in the original standards or through accumulated reinterpretations of a limited codeset. For example, 27 hex is defined in ANSI X3.4 as apostrophe (closing single quotation mark; acute accent), and 2D hex as hyphen minus. In general,
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All three uses can be referred to as "minus" in everyday speech, though the binary operator is sometimes read as "take away". In American English nowadays, −5 (for example) is generally referred to as "negative five" though speakers born before 1950 often refer to it as "minus five". (Temperatures
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Some elementary teachers use raised minus signs before numbers to disambiguate them from the operation of subtraction. The same convention is also used in some computer languages. For example, subtracting −5 from 3 might be read as "positive three take away negative 5", and be shown as
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of a numeric constant. When it is placed immediately before an unsigned numeral, the combination names a negative number, the additive inverse of the positive number that the numeral would otherwise name. In this usage,
2750:"In Israel the plus sign used in mathematics is represented by a horizontal stroke with a vertical hook instead of the sign otherwise used all over the world, because the latter is reminiscent of a cross." (Page 96) 1122:
are symbolized with a plus sign, although this practice is not universal (as there are other methods for spelling those chords). For example, "C+" is read "C augmented chord". Sometimes the plus is written as a
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and two minus signs a decrement; the position of the operator before or after the variable indicates whether the new or old value is read from it. For example, if x equals 6, then
3978: 2492: 1629:"÷" being used as a minus sign (not as a division sign) in an excerpt from an official Norwegian trading statement form called «Næringsoppgave 1» for the taxation year 2010 527:. They were not used for addition and subtraction in the treatise, but were used to indicate surplus and deficit; usage in the modern sense is attested in a 1518 book by 1274: 2736: 1299: 1081: 1047: 1932: 2832: 2536: 957:. Since the word "plus" can mean an advantage, or an additional amount of something, such "+" signs imply that a product offers extra features or benefits. 2037: 919:
When placed after a number, a plus sign can indicate an open range of numbers. For example, "18+" is commonly used as shorthand for "ages 18 and up".
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Ethno-Nationalist Politics and Cultural Preservation: Education and Bordered Identities Among the Wixaritari (Huichol) of Tateikita, Jalisco, Mexico
3293: 2133: 2104: 762:' names a number the same way 'semicircle' names a geometric figure, with the caveat that 'semi' does not have a separate use as a function name. 547:: "There be other 2 signes in often use of which the first is made thus + and betokeneth more: the other is thus made − and betokeneth lesse." 2669: 2603: 2488: 2311: 837:
binds more strongly than the unary minus, which binds more strongly than multiplication or division. However, in some programming languages (
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A common trend in branding, particularly with streaming video services, has been the use of the plus sign at the end of brand names, e.g.
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tend to follow the older usage; −5° is generally called "minus five degrees".) Further, a few textbooks in the United States encourage
2630: 2747: 2467: 2373: 2284: 2255: 1887: 629:, have some operation which is called, or is equivalent to, addition. It is though conventional to use the plus sign to only denote 2710: 2484: 3709: 2825: 1796: 227: 361: 343: 318: 2769:
This form of the plus sign is also used on the control buttons at individual seats on board the El Al Israel Airlines aircraft.
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In chemistry, superscripted plus and minus signs are used to indicate an ion with a positive or negative charge of 1 (e.g., NH
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The minus sign or bar, — , is thought to be derived from the habit of early scribes of using a bar to represent the letter m
1864: 2733: 1929: 602:). This notation may be used when it is desired to emphasize the positiveness of a number, especially in contrast with the 4054: 1431: 4001: 1371: 1246: 1135:
As well as the normal mathematical usage, plus and minus signs may be used for a number of other purposes in computing.
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In US grading systems, the plus sign indicates a grade one level higher and the minus sign a grade lower. For example,
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The plus sign can also indicate many other operations, depending on the mathematical system under consideration. Many
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sign for addition, for example, resembled a pair of legs walking in the direction in which the text was written (
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could be written either from right to left or left to right), with the reverse sign indicating subtraction:
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a raised minus sign (here written using Unicode U+00AF MACRON) is used to denote a negative number, as in
1107: 702: 687: 657: 543: 1467:. Combinations of the plus and minus signs are used to evaluate a move (+/−, +/=, =/+, −/+). 1425:. The Unicode character used for the tone letter (U+02D7) is different from the mathematical minus sign. 389:
In early 15th century Europe, the letters "P" and "M" were generally used. The symbols (P with overline,
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Christian-Jewish Dialogue: Theological Foundations By Peter von der Osten-Sacken (1986 – Fortress Press)
1634: 1383: 200: 1354:). If the charge is greater than 1, a number indicating the charge is written before the sign (as in SO 2129: 2100: 4064: 4023: 4006: 3892: 2810: 1949: 1930:
The birth of symbols – Zdena Lustigova, Faculty of Mathematics and Physics Charles University, Prague
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is sometimes used in computing terminology to signify an improvement, as in the name of the language
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In many contexts, it does not matter whether the second or the third of these usages is intended:
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Karpinski, Louis C. (1917). "Algebraical Developments Among the Egyptians and Babylonians".
1749: 1437: 706: 496: 480: 2619: 1916: 1242: 3985: 3927: 3542: 2766: 2740: 2663:"American National Standard X3.4-1977: American Standard Code for Information Interchange" 1912: 1761: 1418: 1394: 1119: 977: 838: 676: 603: 567: 24: 2358: 468:
when used to indicate subtraction; or it may come from a shorthand version of the letter
2698: 1968: 1793:, a dash that looks similar to the subtraction symbol but is used for different purposes 3789: 2967: 2668:. National Institute of Standards and Technology. p. 10 (4.2 Graphic characters). 2276: 2241: 1984: 1486: 1482: 1422: 1414: 834: 699: 579: 534: 437: 2802: 2797: 2783: 2327: 4043: 3877: 3497: 3425: 3244: 3221: 2033: 1936: 1456: 1402: 1164:
In most programming languages, subtraction and negation are indicated with the ASCII
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are often qualified with a plus or minus to indicate the presence or absence of the
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is the same number. When it is important to distinguish them, a raised minus sign (
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with the Rh factor present, while B− means type B blood with the Rh factor absent.
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A plus sign prefixed to a telephone number is used to indicate the form used for
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is often used to indicate "1 or more" in a pattern to be matched. For example,
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Gaskill, H.S.; Lopez, Robert J. (May 1978). "Let's bring back subtraction".
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and some other computer programming languages, two plus signs indicate the
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International Journal of Mathematical Education in Science and Technology
1756:. The reason for this practice is that it avoids the writing of a symbol 1668: 1471: 1277: 571: 488: 314: 243: 1374:. Its precise usage varies by technology and national standards. In the 930:. In some occasions, this is extended to two plus or minus signs (e.g., 3946: 3835: 3020: 1908: 1790: 1765: 1745: 1712: 857: 641: 583: 53: 2759: 1241:
There is no concept of negative zero in mathematics, but in computing
30:"Positive and negative signs" redirects here. Not to be confused with 3156: 2925: 1737: 1664: 1645: 754: 426: 129: 2132:. Kolophon: Gedruck zů Pfhortzheim von Thoman Anßhelm. p. 122. 2101:"Behe[n]de vnd hubsche Rechenung auff allen kauffmanschafft" 2061:
Cajori, Florian (1928). "Origin and meanings of the signs + and -".
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The minus sign is also used as tone letter in the orthographies of
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from the 14th century show what may be one of the earliest uses of
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in particular), unary operators bind strongest, so in those cases
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are used in many countries around the word. Other designs include
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In mathematics and most programming languages, the rules for the
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tradition that dates from at least the 19th century is to write
1676: 1319: 1315: 1309: 524:" was − ist das ist minus und das + das ist mer das zu addirst" 146: 2814: 1671:. On most keyboards, it is the only character that resembles a 421:
Summa de arithmetica, geometria, proportioni et proportionalità
2195:. Vol. 1. Courier Dover Publications. pp. 258, 330. 1725: 1142:
on a computer screen—to show if a folder is collapsed or not.
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In Catholicism, the plus sign before a last name denotes a
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In linguistics, a superscript plus sometimes replaces the
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In physics, the use of plus and minus signs for different
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Sangster, Alan; Stoner, Greg; McCarthy, Patricia (2008).
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Similar to the plus sign, the minus sign is also used in
2130:"Behend vnd hüpsch Rechnung vff allen Kauffmanschafften" 1382:
plus and minus signs are used as diacritics to indicate
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The Unicode Standard: Version 10.0 – Core Specification
1641:, which is used in Germany and Scandinavia. The symbol 2569:. Unicode Consortium. June 2017. p. 280, Obelus. 1496:, and a double plus is used to denote an Archbishop. 1455:
is used to denote a move that puts the opponent into
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may have a separate representation from zero. In the
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from the left (i.e., left-sided limit). For example,
409:(less), i.e., minus) appeared for the first time in 353: 335: 2364:. The Mathematical Association of America. p.  1511: 1506: 1310: 1305: 1231: 1227: 1212: 1208: 1204: 1189: 1177: 1169: 1158: 1154: 960:Positive and negative are sometimes abbreviated as 846: 842: 157: 152: 101: 96: 51: 44: 39: 2154: 1293: 1268: 1075: 1041: 774:) is sometimes used for negative constants, as in 541:, introduced plus and minus to Britain in 1557 in 2103:. Leipzig : Konrad Kachelofen. p. 176. 2007:"The market for Luca Pacioli's Summa Arithmetica" 1703:according to the context where it is being used. 1234:means "one or more of the letter x". This is the 679:to indicate the operation of subtraction, as in 278:terms meaning "more" and "less", respectively. 2123: 2121: 1001:from the right (i.e., right-sided limit), and 2826: 2094: 2092: 2082:(4th ed.). Thomson Learning. p. 1. 418: 404: 394: 313:Though the signs now seem as familiar as the 8: 656:"Minus" redirects here. For other uses, see 522: 516: 2535:(PhD). University of Florida. p. 284. 2064:A History of Mathematical Notations, Vol. 1 1211:would set both x and y to 7. By extension, 1207:increments x to 7 but sets y to 6, whereas 269: 263: 2833: 2819: 2811: 2078:Wright, D. Franklin; New, Bill D. (2000). 1740:schools and is still commonplace today in 1717: 357: 339: 2462:. Oxford University Press. p. xvii. 1286: 1258: 1068: 1034: 683:. Subtraction is the inverse of addition. 399:(more), i.e., plus, and M with overline, 3979:Version of this table as a sortable list 1513:hyphen-minus, plus, minus signs compared 782:, and some early graphing calculators. 555:"+" redirects here. For other uses, see 2456:Castledine, George; Close, Ann (2009). 2217:"Earliest Uses of Symbols of Operation" 1969:"A brief history of algebraic notation" 1844: 1813: 1679:so it is also used for these. The name 1138:Plus and minus signs are often used in 321:, they are not of great antiquity. The 2627:Unicode Version 1.0 · Character Blocks 2560:"6. Writing Systems and Punctuation". 1503: 1308:is also used to denote added lines in 805:"—to avoid giving the impression that 667:) has three main uses in mathematics: 238:functions, respectively. In addition, 36: 2692: 2690: 2636:from the original on 21 November 2021 2489:International Telecommunication Union 2067:. The Open Court Company, Publishers. 7: 3831: ⟨ ⟩  2306:. Creative Publications. p. 9. 2175:participating institution membership 1850: 1848: 1691:. The character is referred to as a 926:("B minus") is one grade lower than 444:(comparable to the evolution of the 2675:from the original on 9 October 2022 2247:A History of Mathematical Notations 1779:HEBREW LETTER ALTERNATIVE PLUS SIGN 1428:The plus sign sometimes represents 1384:advanced or retracted articulations 1184:a negative number is denoted by an 2273:A First Course in Abstract Algebra 1985:10.1111/j.1949-8594.2000.tb17262.x 1288: 1263: 1070: 1036: 709:of that argument. For example, if 14: 1888:The American Mathematical Monthly 1736:. This practice was adopted into 818:itself may already be negative). 425:, first printed and published in 2796: 2782: 2512:Hartell, Rhonda L., ed. (1993), 2459:Oxford Handbook of Adult Nursing 1797:Glossary of mathematical symbols 436:sign is a simplification of the 2713:from the original on 2017-01-06 2576:from the original on 2021-10-04 2542:from the original on 2021-06-02 2495:from the original on 2021-05-05 2338:from the original on 2020-08-12 2223:from the original on 2022-04-29 2136:from the original on 2022-05-03 2107:from the original on 2022-05-03 2043:from the original on 2018-01-26 1867:from the original on 2020-09-14 1376:International Phonetic Alphabet 1145:In some programming languages, 861: 812:is necessarily negative (since 793:to be read as "the opposite of 645: 331: 1973:School Science and Mathematics 1687:standard, where it was called 1667:most commonly used in digital 799:" or "the additive inverse of 16:Mathematical symbols (+ and −) 1: 2801:The dictionary definition of 2787:The dictionary definition of 2760:Unicode U+FB29 reference page 2697:Kaufmann Kohler (1901–1906). 2275:(4 ed.). United States: 2014:Accounting Historians Journal 1646:is used to denote subtraction 1276:) whereas 1 / 0 is 1155:"a" + "b" 934:being two grades higher than 483:'s book on "handy and pretty 2647:Loose vs. Precise Semantics. 2526:Biglow, Brad Morris (2001). 2356:Schwartzman, Steven (1994). 1967:Stallings, Lynn (May 2000). 1768:has this symbol at position 1463:is sometimes used to denote 1372:International Direct Dialing 1247:IEEE floating-point standard 868:Use in elementary education 242:represents the operation of 2393:(11 ed.). p. 171. 1474:, which denotes unattested 1336:Georg Christoph Lichtenberg 778:, the programming language 636:The symbol is also used in 4086: 3294:inverted ! and ? 2594:Korpela, Jukka K. (2006). 2389:Wheeler, Ruric E. (2001). 2271:Fraleigh, John B. (1989). 2128:Widmann, Johannes (1508). 2099:Widmann, Johannes (1489). 2026:10.2308/0148-4184.35.1.111 1710: 1683:derives from the original 655: 554: 32:Astrological sign polarity 29: 18: 3974: 3862: 3766: 3710:sound recording copyright 3664: 3569: 3452: 3320: 3233: 3168: 2994: 2854: 2598:. O'Reilly. p. 382. 2162:Oxford English Dictionary 1948:Ley, Willy (April 1965). 1476:linguistic reconstruction 578:. It can also serve as a 2516:. Dakar: UNESCO and SIL. 2443:10.1080/0020739780090211 2360:The words of mathematics 2300:Henri Picciotto (1990). 1952:. For Your Information. 1447:used to record games of 1269:{\displaystyle -\infty } 1106:. For example, A+ means 499:referred to the symbols 2514:The Alphabets of Africa 2250:, Cosimo, p. 164, 2167:Oxford University Press 1950:"Symbolically Speaking" 1621:Alternative minus signs 1294:{\displaystyle \infty } 1076:{\displaystyle \infty } 1042:{\displaystyle \infty } 775: 3827: { }  3819: ( )  3804: « »  3800: ‹ ›  3785: " "  3781: ' '  3777: “ ”  3773: ‘ ’  2705:; et al. (eds.). 2193:History of Mathematics 1954:Galaxy Science Fiction 1824:models, including the 1748:schools) but in fewer 1630: 1615:FULLWIDTH HYPHEN-MINUS 1485:, a plus sign denotes 1459:, while a double plus 1436:in the orthography of 1295: 1270: 1249:, 1 / −0 is 1077: 1043: 888:which can be read as: 658:Minus (disambiguation) 631:commutative operations 544:The Whetstone of Witte 537:, the designer of the 523: 517: 495:In his 1489 treatise, 492: 455:may be derived from a 441: 419: 405: 395: 270: 264: 4050:Elementary arithmetic 2620:"3.1 General scripts" 1861:mathworld.wolfram.com 1707:Alternative plus sign 1635:commercial minus sign 1628: 1296: 1271: 1078: 1044: 478: 323:Egyptian hieroglyphic 319:Hindu–Arabic numerals 246:, which results in a 202:COMMERCIAL MINUS SIGN 4055:Mathematical symbols 4024:Japanese punctuation 3725:registered trademark 3610: |  3468:plus and minus signs 2861:    2080:Intermediate Algebra 1285: 1257: 1067: 1033: 776:elementary education 619:algebraic structures 386:as a sign for plus. 228:mathematical symbols 46:Plus and minus signs 4014:Chinese punctuation 3740:service mark symbol 3483:multiplication sign 3001: &  2707:Jewish Encyclopedia 2165:(Online ed.). 1855:Weisstein, Eric W. 1820:at least the early 1601:FULLWIDTH PLUS SIGN 1224:regular expressions 976:In mathematics the 823:order of operations 529:Henricus Grammateus 4070:Sign (mathematics) 4029:Korean punctuation 4019:Hebrew punctuation 2765:2009-01-26 at the 2739:2023-04-08 at the 2391:Modern Mathematics 2332:www.mathsisfun.com 1802:⊕ (disambiguation) 1760:that looks like a 1742:elementary schools 1631: 1573:SMALL HYPHEN-MINUS 1445:algebraic notation 1386:of speech sounds. 1334:was introduced by 1332:electrical charges 1291: 1266: 1201:increment operator 1073: 1039: 915:Use as a qualifier 596:means the same as 557:+ (disambiguation) 493: 187:MINUS-OR-PLUS SIGN 4037: 4036: 3366:ordinal indicator 3309:irony punctuation 2605:978-0-596-10121-3 2596:Unicode explained 2313:978-0-88488-964-9 2173:(Subscription or 1956:. pp. 57–67. 1822:Texas Instruments 1750:secondary schools 1732:using the symbol 1663:) is the form of 1518: 1517: 1278:positive infinity 1251:negative infinity 1157:, and results in 1131:Uses in computing 862:§ Other uses 646:§ Other uses 470:⟨m⟩ 466:⟨m⟩ 373: 372: 369: 368: 365: 364: 351: 350: 347: 346: 287:⟨−⟩ 283:⟨+⟩ 258:, resulting in a 208: 207: 4077: 3986:Currency symbols 3966: 3965: 3959: 3951: 3950: 3949:(paragraph mark) 3943: 3939: 3931: 3930: 3924: 3920: 3912: 3911: 3905: 3897: 3896: 3889: 3881: 3880: 3874: 3870: 3854: 3853: 3847: 3839: 3838: 3832: 3828: 3824: 3820: 3812: 3811: 3805: 3801: 3793: 3792: 3786: 3782: 3778: 3774: 3758: 3757: 3755:trademark symbol 3751: 3743: 3742: 3736: 3728: 3727: 3721: 3713: 3712: 3706: 3698: 3697: 3691: 3689: 3679: 3678: 3676:copyright symbol 3672: 3656: 3655: 3649: 3641: 3640: 3634: 3626: 3625: 3619: 3615: 3611: 3603: 3602: 3596: 3594: 3584: 3583: 3577: 3561: 3560: 3554: 3546: 3545: 3539: 3531: 3530: 3524: 3516: 3515: 3509: 3501: 3500: 3494: 3486: 3485: 3479: 3471: 3470: 3464: 3460: 3444: 3443: 3437: 3429: 3428: 3422: 3414: 3413: 3407: 3399: 3398: 3392: 3384: 3383: 3377: 3369: 3368: 3362: 3358: 3350: 3349: 3343: 3335: 3334: 3328: 3312: 3311: 3305: 3297: 3296: 3290: 3286: 3278: 3277: 3271: 3263: 3262: 3260:exclamation mark 3256: 3248: 3247: 3241: 3225: 3224: 3218: 3214: 3206: 3205: 3199: 3195: 3191: 3183: 3182: 3176: 3160: 3159: 3153: 3151: 3148: 3145: 3141: 3138: 3134: 3131: 3127: 3124: 3114: 3113: 3107: 3099: 3098: 3092: 3084: 3083: 3077: 3069: 3068: 3062: 3054: 3053: 3047: 3039: 3038: 3032: 3024: 3023: 3017: 3009: 3008: 3002: 2986: 2985: 2979: 2971: 2970: 2964: 2960: 2956: 2948: 2947: 2941: 2937: 2929: 2928: 2922: 2914: 2913: 2907: 2899: 2898: 2892: 2884: 2883: 2877: 2869: 2868: 2862: 2835: 2828: 2821: 2812: 2800: 2786: 2770: 2757: 2751: 2731: 2722: 2721: 2719: 2718: 2694: 2685: 2684: 2682: 2680: 2674: 2667: 2659: 2653: 2652: 2643: 2641: 2635: 2624: 2616: 2610: 2609: 2591: 2585: 2584: 2582: 2581: 2575: 2568: 2557: 2551: 2550: 2548: 2547: 2541: 2534: 2523: 2517: 2510: 2504: 2503: 2501: 2500: 2481: 2475: 2473: 2453: 2447: 2446: 2426: 2420: 2419: 2417: 2416: 2407:. Archived from 2401: 2395: 2394: 2386: 2380: 2379: 2363: 2353: 2347: 2346: 2344: 2343: 2324: 2318: 2317: 2297: 2291: 2290: 2268: 2262: 2260: 2238: 2232: 2231: 2229: 2228: 2213: 2207: 2206: 2185: 2179: 2178: 2170: 2158: 2151: 2145: 2144: 2142: 2141: 2125: 2116: 2115: 2113: 2112: 2096: 2087: 2086: 2075: 2069: 2068: 2058: 2052: 2051: 2049: 2048: 2042: 2011: 2002: 1996: 1995: 1993: 1991: 1964: 1958: 1957: 1945: 1939: 1927: 1921: 1920: 1882: 1876: 1875: 1873: 1872: 1852: 1832: 1818: 1780: 1777: 1774: 1772: 1759: 1755: 1735: 1721: 1662: 1644: 1640: 1616: 1613: 1610: 1608: 1602: 1599: 1596: 1594: 1588: 1585: 1582: 1580: 1574: 1571: 1568: 1566: 1560: 1557: 1554: 1552: 1546: 1543: 1540: 1538: 1532: 1529: 1526: 1524: 1504: 1462: 1454: 1451:, the plus sign 1435: 1366: 1365: 1364: 1361: 1353: 1352: 1351: 1348: 1312: 1307: 1300: 1298: 1297: 1292: 1275: 1273: 1272: 1267: 1233: 1229: 1214: 1210: 1206: 1191: 1179: 1171: 1160: 1156: 1120:augmented chords 1090: 1083: 1082: 1080: 1079: 1074: 1056: 1049: 1048: 1046: 1045: 1040: 1022: 1016: 1010: 1000: 994: 988: 967: 963: 937: 933: 929: 925: 909: 905: 894: 883: 879: 860:. For more, see 848: 844: 832: 828: 817: 811: 804: 798: 792: 773: 769: 761: 749: 738: 730: 723: 715: 707:additive inverse 682: 666: 663:The minus sign ( 644:. For more, see 613: 609: 604:negative numbers 601: 595: 582:that leaves its 577: 565: 526: 520: 506: 502: 497:Johannes Widmann 481:Johannes Widmann 471: 467: 463: 462: 454: 450: 435: 424: 408: 402: 398: 392: 385: 358: 354: 340: 336: 332: 304: 296: 288: 284: 273: 267: 253: 241: 225: 217: 203: 199: 196: 194: 188: 184: 181: 179: 173: 169: 166: 164: 145: 141: 138: 132: 128: 125: 123: 117: 113: 110: 108: 91: 87: 84: 81: 79: 73: 69: 66: 63: 61: 37: 22: 4085: 4084: 4080: 4079: 4078: 4076: 4075: 4074: 4040: 4039: 4038: 4033: 3970: 3961: 3958: §  3957: 3955: 3945: 3942: ⸿  3941: 3938: ¶  3937: 3935: 3926: 3923: ⌑  3922: 3919: ◊  3918: 3916: 3907: 3904: ☞  3903: 3901: 3895:(hedera, aldus) 3891: 3888: ❧  3887: 3885: 3876: 3873: ‡  3872: 3869: †  3868: 3866: 3858: 3849: 3846: ”  3845: 3843: 3834: 3830: 3826: 3822: 3818: 3816: 3807: 3803: 3799: 3797: 3788: 3784: 3780: 3776: 3772: 3770: 3762: 3753: 3749: 3747: 3738: 3734: 3732: 3723: 3720: ®  3719: 3717: 3708: 3705: ℗  3704: 3702: 3693: 3687: 3685: 3683: 3674: 3671: ©  3670: 3668: 3660: 3651: 3648: ·  3647: 3645: 3636: 3633: •  3632: 3630: 3621: 3618: ‖  3617: 3614: ¦  3613: 3609: 3607: 3598: 3592: 3590: 3588: 3579: 3576: _  3575: 3573: 3565: 3556: 3553: ^  3552: 3550: 3543:minus-plus sign 3541: 3538: ∓  3537: 3535: 3528:plus–minus sign 3526: 3523: ±  3522: 3520: 3511: 3508: ~  3507: 3505: 3496: 3493: ÷  3492: 3490: 3481: 3478: ×  3477: 3475: 3466: 3463: −  3462: 3459: +  3458: 3456: 3448: 3439: 3436: ⌀  3435: 3433: 3424: 3421: °  3420: 3418: 3409: 3406: ‱  3405: 3403: 3394: 3391: ‰  3390: 3388: 3379: 3376: %  3375: 3373: 3364: 3361: ª  3360: 3357: º  3356: 3354: 3345: 3342: №  3341: 3339: 3330: 3327: #  3326: 3324: 3316: 3307: 3304: ⸮  3303: 3301: 3292: 3289: ¿  3288: 3285: ¡  3284: 3282: 3273: 3270: ‽  3269: 3267: 3258: 3255: !  3254: 3252: 3243: 3240: ?  3239: 3237: 3229: 3220: 3217: ⸗  3216: 3213: ⹀  3212: 3210: 3201: 3198: —  3197: 3194: –  3193: 3190: ‒  3189: 3187: 3178: 3175: -  3174: 3172: 3164: 3155: 3149: 3146: 3143: 3139: 3136: 3132: 3129: 3125: 3122: 3120: 3118: 3109: 3106: ⁂  3105: 3103: 3094: 3091: *  3090: 3088: 3079: 3076: …  3075: 3073: 3064: 3061: \  3060: 3058: 3049: 3046: /  3045: 3043: 3034: 3031: ^  3030: 3028: 3019: 3016: @  3015: 3013: 3004: 3000: 2998: 2990: 2981: 2978: .  2977: 2975: 2966: 2963: ‴  2962: 2959: ″  2958: 2955: ′  2954: 2952: 2943: 2940: '  2939: 2936: ’  2935: 2933: 2924: 2921: ‐  2920: 2918: 2909: 2906: ;  2905: 2903: 2894: 2891: :  2890: 2888: 2879: 2876: ,  2875: 2873: 2864: 2860: 2858: 2850: 2839: 2779: 2774: 2773: 2767:Wayback Machine 2758: 2754: 2741:Wayback Machine 2732: 2725: 2716: 2714: 2696: 2695: 2688: 2678: 2676: 2672: 2665: 2661: 2660: 2656: 2639: 2637: 2633: 2622: 2618: 2617: 2613: 2606: 2593: 2592: 2588: 2579: 2577: 2573: 2566: 2559: 2558: 2554: 2545: 2543: 2539: 2532: 2525: 2524: 2520: 2511: 2507: 2498: 2496: 2483: 2482: 2478: 2470: 2455: 2454: 2450: 2428: 2427: 2423: 2414: 2412: 2403: 2402: 2398: 2388: 2387: 2383: 2376: 2355: 2354: 2350: 2341: 2339: 2326: 2325: 2321: 2314: 2303:The Algebra Lab 2299: 2298: 2294: 2287: 2270: 2269: 2265: 2258: 2242:Cajori, Florian 2240: 2239: 2235: 2226: 2224: 2215: 2214: 2210: 2203: 2187: 2186: 2182: 2172: 2153: 2152: 2148: 2139: 2137: 2127: 2126: 2119: 2110: 2108: 2098: 2097: 2090: 2077: 2076: 2072: 2060: 2059: 2055: 2046: 2044: 2040: 2020:(1): 111–134 . 2009: 2004: 2003: 1999: 1989: 1987: 1966: 1965: 1961: 1947: 1946: 1942: 1928: 1924: 1901:10.2307/2973180 1884: 1883: 1879: 1870: 1868: 1854: 1853: 1846: 1841: 1836: 1835: 1819: 1815: 1810: 1787: 1778: 1775: 1770: 1769: 1762:Christian cross 1757: 1753: 1733: 1722: 1715: 1709: 1660: 1642: 1638: 1623: 1614: 1611: 1606: 1605: 1600: 1597: 1592: 1591: 1587:SMALL PLUS SIGN 1586: 1583: 1578: 1577: 1572: 1569: 1564: 1563: 1558: 1555: 1550: 1549: 1544: 1541: 1536: 1535: 1530: 1527: 1522: 1521: 1514: 1502: 1500:Character codes 1483:botanical names 1460: 1452: 1362: 1359: 1357: 1356: 1355: 1349: 1346: 1344: 1343: 1342: 1328: 1283: 1282: 1255: 1254: 1133: 1116: 1097: 1085: 1065: 1064: 1058: 1051: 1031: 1030: 1024: 1018: 1012: 1002: 996: 990: 980: 978:one-sided limit 974: 965: 961: 935: 931: 927: 923: 917: 907: 903: 892: 881: 877: 870: 839:Microsoft Excel 830: 826: 813: 806: 800: 794: 787: 771: 767: 759: 740: 732: 725: 717: 710: 680: 677:binary operator 664: 661: 654: 611: 607: 597: 590: 575: 570:that indicates 568:binary operator 563: 562:The plus sign ( 560: 553: 515:(Modern German 504: 500: 469: 465: 460: 459: 452: 448: 433: 413:'s mathematics 400: 390: 383: 311: 298: 290: 286: 282: 251: 239: 230:used to denote 223: 215: 201: 197: 192: 191: 190: 186: 182: 177: 176: 175: 172:PLUS-MINUS SIGN 171: 167: 162: 161: 143: 139: 136: 134: 130: 126: 121: 120: 119: 115: 111: 106: 105: 89: 85: 82: 77: 76: 75: 71: 67: 64: 59: 58: 47: 35: 28: 25:Plus-minus sign 20: 17: 12: 11: 5: 4083: 4081: 4073: 4072: 4067: 4062: 4057: 4052: 4042: 4041: 4035: 4034: 4032: 4031: 4026: 4021: 4016: 4010: 4009: 4004: 3999: 3994: 3988: 3982: 3981: 3975: 3972: 3971: 3969: 3968: 3953: 3933: 3914: 3899: 3883: 3863: 3860: 3859: 3857: 3856: 3841: 3823:   3814: 3795: 3790:quotation mark 3767: 3764: 3763: 3761: 3760: 3750:   3745: 3735:   3730: 3715: 3700: 3681: 3665: 3662: 3661: 3659: 3658: 3643: 3628: 3605: 3586: 3570: 3567: 3566: 3564: 3563: 3548: 3533: 3518: 3503: 3488: 3473: 3453: 3450: 3449: 3447: 3446: 3431: 3416: 3401: 3386: 3371: 3352: 3337: 3321: 3318: 3317: 3315: 3314: 3299: 3280: 3265: 3250: 3234: 3231: 3230: 3228: 3227: 3208: 3185: 3169: 3166: 3165: 3163: 3162: 3116: 3101: 3086: 3071: 3056: 3041: 3026: 3011: 2995: 2992: 2991: 2989: 2988: 2973: 2950: 2931: 2916: 2901: 2886: 2871: 2855: 2852: 2851: 2840: 2838: 2837: 2830: 2823: 2815: 2809: 2808: 2794: 2778: 2777:External links 2775: 2772: 2771: 2752: 2723: 2686: 2654: 2629:. p. 30. 2611: 2604: 2586: 2552: 2518: 2505: 2476: 2468: 2448: 2437:(2): 221–229. 2421: 2396: 2381: 2374: 2348: 2319: 2312: 2292: 2285: 2279:. p. 52. 2277:Addison-Wesley 2263: 2256: 2233: 2208: 2201: 2180: 2146: 2117: 2088: 2070: 2053: 1997: 1979:(5): 230–235. 1959: 1940: 1935:2013-07-08 at 1922: 1895:(6): 257–265. 1877: 1843: 1842: 1840: 1837: 1834: 1833: 1812: 1811: 1809: 1806: 1805: 1804: 1799: 1794: 1786: 1783: 1716: 1708: 1705: 1689:hyphen–(minus) 1622: 1619: 1618: 1617: 1603: 1589: 1575: 1561: 1547: 1533: 1516: 1515: 1512: 1509: 1508: 1501: 1498: 1487:graft-chimaera 1327: 1324: 1320:unified format 1316:context format 1314:output in the 1290: 1265: 1262: 1159:"ab" 1132: 1129: 1115: 1112: 1096: 1093: 1072: 1038: 973: 970: 916: 913: 912: 911: 897: 896: 886: 885: 869: 866: 835:Exponentiation 764: 763: 751: 684: 653: 650: 580:unary operator 552: 549: 535:Robert Recorde 371: 370: 367: 366: 363: 362: 349: 348: 345: 344: 310: 307: 206: 205: 159: 155: 154: 150: 149: 103: 102:Different from 99: 98: 97:Different from 94: 93: 56: 49: 48: 45: 42: 41: 15: 13: 10: 9: 6: 4: 3: 2: 4082: 4071: 4068: 4066: 4063: 4061: 4058: 4056: 4053: 4051: 4048: 4047: 4045: 4030: 4027: 4025: 4022: 4020: 4017: 4015: 4012: 4011: 4008: 4005: 4003: 4000: 3998: 3997:Logic symbols 3995: 3992: 3989: 3987: 3984: 3983: 3980: 3977: 3976: 3973: 3964: 3960:   3954: 3948: 3944:   3934: 3929: 3925:   3915: 3910: 3906:   3900: 3894: 3890:   3884: 3879: 3875:   3865: 3864: 3861: 3852: 3848:   3842: 3837: 3833:   3815: 3810: 3806:   3796: 3791: 3787:   3769: 3768: 3765: 3756: 3752:   3746: 3741: 3737:   3731: 3726: 3722:   3716: 3711: 3707:   3701: 3696: 3692:   3682: 3677: 3673:   3667: 3666: 3663: 3654: 3650:   3644: 3639: 3635:   3629: 3624: 3620:   3606: 3601: 3597:   3587: 3582: 3578:   3572: 3571: 3568: 3559: 3555:   3549: 3544: 3540:   3534: 3529: 3525:   3519: 3514: 3510:   3504: 3499: 3498:division sign 3495:   3489: 3484: 3480:   3474: 3469: 3465:   3455: 3454: 3451: 3442: 3441:diameter sign 3438:   3432: 3427: 3426:degree symbol 3423:   3417: 3412: 3408:   3402: 3397: 3393:   3387: 3382: 3378:   3372: 3367: 3363:   3353: 3348: 3344:   3338: 3333: 3329:   3323: 3322: 3319: 3310: 3306:   3300: 3295: 3291:   3281: 3276: 3272:   3266: 3261: 3257:   3251: 3246: 3245:question mark 3242:   3236: 3235: 3232: 3223: 3222:double hyphen 3219:   3209: 3204: 3200:   3186: 3181: 3177:   3171: 3170: 3167: 3158: 3154:   3117: 3112: 3108:   3102: 3097: 3093:   3087: 3082: 3078:   3072: 3067: 3063:   3057: 3052: 3048:   3042: 3037: 3033:   3027: 3022: 3018:   3012: 3007: 3003:   2997: 2996: 2993: 2984: 2980:   2974: 2969: 2965:   2951: 2946: 2942:   2932: 2927: 2923:   2917: 2912: 2908:   2902: 2897: 2893:   2887: 2882: 2878:   2872: 2867: 2863:   2857: 2856: 2853: 2848: 2847:typographical 2844: 2836: 2831: 2829: 2824: 2822: 2817: 2816: 2813: 2807:at Wiktionary 2806: 2805: 2799: 2795: 2793:at Wiktionary 2792: 2791: 2785: 2781: 2780: 2776: 2768: 2764: 2761: 2756: 2753: 2749: 2748:0-8006-0771-6 2745: 2742: 2738: 2735: 2730: 2728: 2724: 2712: 2708: 2704: 2700: 2693: 2691: 2687: 2671: 2664: 2658: 2655: 2651: 2648: 2632: 2628: 2621: 2615: 2612: 2607: 2601: 2597: 2590: 2587: 2572: 2565: 2564: 2556: 2553: 2538: 2531: 2530: 2522: 2519: 2515: 2509: 2506: 2494: 2490: 2486: 2480: 2477: 2471: 2469:9780191039676 2465: 2461: 2460: 2452: 2449: 2444: 2440: 2436: 2432: 2425: 2422: 2411:on 2009-08-11 2410: 2406: 2400: 2397: 2392: 2385: 2382: 2377: 2375:9780883855119 2371: 2367: 2362: 2361: 2352: 2349: 2337: 2333: 2329: 2328:"Subtraction" 2323: 2320: 2315: 2309: 2305: 2304: 2296: 2293: 2288: 2286:0-201-52821-5 2282: 2278: 2274: 2267: 2264: 2259: 2257:9781602066847 2253: 2249: 2248: 2243: 2237: 2234: 2222: 2218: 2212: 2209: 2204: 2198: 2194: 2190: 2184: 2181: 2176: 2168: 2164: 2163: 2157: 2150: 2147: 2135: 2131: 2124: 2122: 2118: 2106: 2102: 2095: 2093: 2089: 2085: 2081: 2074: 2071: 2066: 2065: 2057: 2054: 2039: 2035: 2031: 2027: 2023: 2019: 2015: 2008: 2001: 1998: 1986: 1982: 1978: 1974: 1970: 1963: 1960: 1955: 1951: 1944: 1941: 1938: 1937:archive.today 1934: 1931: 1926: 1923: 1918: 1914: 1910: 1906: 1902: 1898: 1894: 1890: 1889: 1881: 1878: 1866: 1862: 1858: 1857:"Subtraction" 1851: 1849: 1845: 1838: 1831: 1827: 1823: 1817: 1814: 1807: 1803: 1800: 1798: 1795: 1792: 1789: 1788: 1784: 1782: 1767: 1763: 1751: 1747: 1743: 1739: 1731: 1727: 1720: 1714: 1706: 1704: 1702: 1698: 1694: 1690: 1686: 1682: 1678: 1674: 1670: 1666: 1658: 1653: 1651: 1647: 1636: 1627: 1620: 1604: 1590: 1576: 1562: 1548: 1534: 1520: 1519: 1510: 1505: 1499: 1497: 1495: 1490: 1488: 1484: 1479: 1477: 1473: 1468: 1466: 1458: 1450: 1446: 1441: 1439: 1433: 1426: 1424: 1420: 1416: 1412: 1408: 1404: 1400: 1396: 1392: 1387: 1385: 1381: 1377: 1373: 1368: 1339: 1337: 1333: 1325: 1323: 1321: 1317: 1313: 1303: 1301: 1279: 1260: 1252: 1248: 1244: 1239: 1237: 1225: 1220: 1218: 1202: 1198: 1193: 1187: 1183: 1175: 1167: 1162: 1152: 1148: 1147:concatenation 1143: 1141: 1136: 1130: 1128: 1126: 1121: 1113: 1111: 1109: 1105: 1101: 1094: 1092: 1088: 1062: 1054: 1028: 1021: 1015: 1009: 1005: 999: 993: 987: 983: 979: 971: 969: 958: 956: 952: 948: 944: 939: 920: 914: 902: 901: 900: 891: 890: 889: 876: 875: 874: 867: 865: 863: 859: 855: 850: 840: 836: 824: 819: 816: 810: 803: 797: 791: 783: 781: 777: 756: 752: 748: 744: 739:. Similarly, 736: 728: 721: 713: 708: 704: 701: 697: 693: 689: 685: 678: 674: 670: 669: 668: 659: 651: 649: 647: 643: 639: 634: 632: 628: 624: 623:vector spaces 620: 615: 605: 600: 594: 588: 585: 581: 573: 569: 558: 550: 548: 546: 545: 540: 536: 532: 530: 525: 519: 514: 510: 498: 490: 486: 482: 477: 473: 464:written over 458: 447: 443: 439: 430: 428: 423: 422: 416: 412: 407: 397: 387: 381: 377: 376:Nicole Oresme 360: 359: 356: 355: 342: 341: 338: 337: 334: 333: 330: 328: 324: 320: 316: 308: 306: 302: 297:for plus and 294: 279: 277: 272: 266: 261: 257: 249: 245: 237: 233: 229: 221: 213: 204: 189: 174: 160: 156: 151: 148: 133: 118: 104: 100: 95: 57: 55: 50: 43: 38: 33: 26: 4002:Math symbols 3963:section mark 3623:vertical bar 3467: 3381:percent sign 3180:hyphen-minus 2803: 2789: 2755: 2715:. Retrieved 2706: 2677:. Retrieved 2657: 2646: 2645: 2638:. Retrieved 2626: 2614: 2595: 2589: 2578:. Retrieved 2562: 2555: 2544:. Retrieved 2528: 2521: 2513: 2508: 2497:. Retrieved 2479: 2458: 2451: 2434: 2430: 2424: 2413:. Retrieved 2409:the original 2399: 2390: 2384: 2359: 2351: 2340:. Retrieved 2331: 2322: 2302: 2295: 2272: 2266: 2246: 2236: 2225:. Retrieved 2211: 2192: 2183: 2160: 2149: 2138:. Retrieved 2109:. Retrieved 2083: 2079: 2073: 2063: 2056: 2045:. Retrieved 2017: 2013: 2000: 1988:. Retrieved 1976: 1972: 1962: 1953: 1943: 1925: 1892: 1886: 1880: 1869:. Retrieved 1860: 1816: 1729: 1723: 1700: 1696: 1692: 1688: 1681:hyphen-minus 1680: 1657:hyphen-minus 1654: 1632: 1559:HYPHEN-MINUS 1491: 1480: 1469: 1465:double check 1442: 1427: 1388: 1369: 1340: 1329: 1304: 1240: 1221: 1194: 1166:hyphen-minus 1163: 1144: 1137: 1134: 1117: 1108:type A blood 1098: 1086: 1060: 1052: 1026: 1019: 1013: 1007: 1003: 997: 991: 985: 981: 975: 959: 940: 921: 918: 898: 887: 871: 851: 829:is equal to 820: 814: 808: 801: 795: 789: 784: 765: 746: 742: 734: 726: 719: 711: 675:operator: a 662: 635: 627:matrix rings 616: 598: 592: 561: 542: 533: 512: 508: 494: 431: 411:Luca Pacioli 388: 374: 312: 280: 219: 211: 209: 116:HYPHEN-MINUS 23:symbol, see 4065:Subtraction 3411:basis point 3347:numero sign 3332:number sign 3275:interrobang 2843:punctuation 2703:Cyrus Adler 2679:10 December 2640:10 December 2189:Smith, D.E. 1744:(including 1650:Scandinavia 1633:There is a 1380:subscripted 1236:Kleene plus 1180:. While in 1168:character, 1153:is written 1125:superscript 1100:Blood types 1017:approaches 995:approaches 972:Mathematics 899:or even as 845:is 25, but 673:subtraction 539:equals sign 521:; "more"): 380:manuscripts 305:for minus. 256:subtraction 254:represents 90:− 4044:Categories 4007:Whitespace 3991:Diacritics 3851:ditto mark 3653:interpunct 3581:underscore 2945:apostrophe 2845:and other 2804:minus sign 2717:2017-02-12 2580:2022-04-11 2546:2021-05-29 2499:2021-03-18 2415:2009-07-29 2342:2020-08-26 2227:2022-05-03 2202:0486204308 2177:required.) 2140:2022-05-03 2111:2022-05-03 2047:2012-04-29 1871:2020-08-26 1839:References 1711:See also: 1697:minus sign 1673:minus sign 1545:MINUS SIGN 1326:Other uses 1238:notation. 1186:underscore 1118:In music, 951:Paramount+ 825:mean that 652:Minus sign 621:, such as 485:arithmetic 415:compendium 281:The forms 260:difference 220:minus sign 218:) and the 86:MINUS SIGN 72:+ 3993:(accents) 3809:guillemet 3396:per mille 3066:backslash 3006:ampersand 2983:full stop 2911:semicolon 2790:plus sign 2034:107010686 1669:documents 1531:PLUS SIGN 1289:∞ 1264:∞ 1261:− 1140:tree view 1104:Rh factor 1071:∞ 1037:∞ 955:Apple TV+ 908:3 + 5 = 8 882:3 + 5 = 8 854:chemistry 724:, but if 681:5 − 3 = 2 638:chemistry 587:unchanged 576:2 + 3 = 5 551:Plus sign 489:merchants 446:ampersand 429:in 1494. 212:plus sign 68:PLUS SIGN 4060:Addition 3909:manicule 3695:copyleft 3111:asterism 3096:asterisk 3081:ellipsis 2763:Archived 2737:Archived 2711:Archived 2670:Archived 2631:Archived 2571:Archived 2537:Archived 2493:Archived 2491:. 2001. 2336:Archived 2244:(2007), 2221:Archived 2191:(1951). 2134:Archived 2105:Archived 2038:Archived 1990:13 April 1933:Archived 1865:Archived 1785:See also 1776:﬩ 1659:symbol ( 1612:- 1598:+ 1584:﹢ 1570:﹣ 1542:− 1472:asterisk 1399:Karaboro 1188:, as in 906:becomes 880:becomes 849:is −25. 703:argument 694:for any 688:function 574:, as in 572:addition 487:for all 472:itself. 327:Egyptian 315:alphabet 303:⟩ 299:⟨ 295:⟩ 291:⟨ 250:, while 244:addition 236:negative 232:positive 198:⁒ 183:∓ 158:See also 127:‐ 83:− 52:In  19:For the 3947:pilcrow 3928:lozenge 3893:fleuron 3836:bracket 3690:  3686:  3595:  3591:  3152:  3121:  3021:at sign 2849:symbols 2841:Common 2699:"Cross" 1917:1518824 1909:2973180 1791:En dash 1766:Unicode 1746:secular 1738:Israeli 1713:Up tack 1699:, or a 1443:In the 1438:Huichol 1318:or the 1209:y = ++x 1205:y = x++ 1151:strings 947:Disney+ 943:Google+ 893:3 −1 (5 864:below. 858:physics 731:, then 716:, then 705:is the 700:complex 642:physics 610:versus 584:operand 566:) is a 451:). 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Index

Plus-minus sign
Astrological sign polarity
Unicode
HYPHEN-MINUS
HYPHEN
Dash
PLUS-MINUS SIGN
MINUS-OR-PLUS SIGN
COMMERCIAL MINUS SIGN
mathematical symbols
positive
negative
addition
sum
subtraction
difference
Latin


alphabet
Hindu–Arabic numerals
Egyptian hieroglyphic
Egyptian
Nicole Oresme
manuscripts
Luca Pacioli
compendium
Summa de arithmetica, geometria, proportioni et proportionalità
Venice
Latin

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