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,
2761:"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) 1133:
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
3989: 2503: 1640:"÷" 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 538:. 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 1285: 2747: 1310: 1092: 1058: 1943: 2843: 2547: 968:. 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. 2048: 930:
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
3304: 2144: 2115: 773:' 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. 558:: "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." 2680: 2614: 2499: 2322: 848:
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
2641: 2758: 2478: 2384: 2295: 2266: 1898: 640:, have some operation which is called, or is equivalent to, addition. It is though conventional to use the plus sign to only denote 2721: 2495: 3720: 2836: 1807: 238: 372: 354: 329: 2780:
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
1875: 2744: 1940: 613:). This notation may be used when it is desired to emphasize the positiveness of a number, especially in contrast with the 4065: 1442: 4012: 1382: 1257: 1146:
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
1118: 713: 698: 668: 554: 1478:. Combinations of the plus and minus signs are used to evaluate a move (+/−, +/=, =/+, −/+). 1436:. The Unicode character used for the tone letter (U+02D7) is different from the mathematical minus sign. 400:
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)
1645: 1394: 211: 1365:). If the charge is greater than 1, a number indicating the charge is written before the sign (as in SO 2140: 2111: 4075: 4034: 4017: 3903: 2821: 1960: 1941:
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".
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when used to indicate subtraction; or it may come from a shorthand version of the letter
2709: 1979: 1804:, a dash that looks similar to the subtraction symbol but is used for different purposes 3800: 2978: 2679:. National Institute of Standards and Technology. p. 10 (4.2 Graphic characters). 2287: 2252: 1995: 1497: 1493: 1433: 1425: 845: 710: 590: 545: 448: 2813: 2808: 2794: 2338: 4054: 3888: 3508: 3436: 3255: 3232: 2044: 1947: 1467: 1413: 1175:
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
1767:. The reason for this practice is that it avoids the writing of a symbol 1679: 1482: 1288: 582: 499: 325: 254: 1385:. Its precise usage varies by technology and national standards. In the 941:. In some occasions, this is extended to two plus or minus signs (e.g., 3957: 3846: 3031: 1919: 1801: 1776: 1756: 1723: 868: 652: 594: 64: 2770: 1252:
There is no concept of negative zero in mathematics, but in computing
41:"Positive and negative signs" redirects here. Not to be confused with 3167: 2936: 1748: 1675: 1656: 765: 437: 140: 2143:. Kolophon: Gedruck zů Pfhortzheim von Thoman Anßhelm. p. 122. 2112:"Behe[n]de vnd hubsche Rechenung auff allen kauffmanschafft" 2072:
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
1687: 1330: 1326: 1320: 535:" was − ist das ist minus und das + das ist mer das zu addirst" 157: 2825: 1682:. On most keyboards, it is the only character that resembles a 432:
Summa de arithmetica, geometria, proportioni et proportionalità
2206:. Vol. 1. Courier Dover Publications. pp. 258, 330. 1736: 1153:
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
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plus and minus signs are used as diacritics to indicate
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The Unicode Standard: Version 10.0 – Core Specification
1652:, which is used in Germany and Scandinavia. The symbol 2580:. Unicode Consortium. June 2017. p. 280, Obelus. 1507:, and a double plus is used to denote an Archbishop. 1466:
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,
420:(less), i.e., minus) appeared for the first time in 364: 346: 2375:. The Mathematical Association of America. p.  1522: 1517: 1321: 1316: 1242: 1238: 1223: 1219: 1215: 1200: 1188: 1180: 1169: 1165: 971:Positive and negative are sometimes abbreviated as 857: 853: 168: 163: 112: 107: 62: 55: 50: 2165: 1304: 1279: 1086: 1052: 785:) is sometimes used for negative constants, as in 552:, introduced plus and minus to Britain in 1557 in 2114:. Leipzig : Konrad Kachelofen. p. 176. 2018:"The market for Luca Pacioli's Summa Arithmetica" 1714:according to the context where it is being used. 1245:means "one or more of the letter x". This is the 690:to indicate the operation of subtraction, as in 289:terms meaning "more" and "less", respectively. 2134: 2132: 1012:from the right (i.e., right-sided limit), and 2837: 2105: 2103: 2093:(4th ed.). Thomson Learning. p. 1. 429: 415: 405: 324:Though the signs now seem as familiar as the 8: 667:"Minus" redirects here. For other uses, see 533: 527: 2546:(PhD). University of Florida. p. 284. 2075:A History of Mathematical Notations, Vol. 1 1222:would set both x and y to 7. By extension, 1218:increments x to 7 but sets y to 6, whereas 280: 274: 2844: 2830: 2822: 2089:Wright, D. Franklin; New, Bill D. (2000). 1751:schools and is still commonplace today in 1728: 368: 350: 2473:. Oxford University Press. p. xvii. 1297: 1269: 1079: 1045: 694:. Subtraction is the inverse of addition. 410:(more), i.e., plus, and M with overline, 3990:Version of this table as a sortable list 1524:hyphen-minus, plus, minus signs compared 793:, and some early graphing calculators. 566:"+" redirects here. For other uses, see 2467:Castledine, George; Close, Ann (2009). 2228:"Earliest Uses of Symbols of Operation" 1980:"A brief history of algebraic notation" 1855: 1824: 1690:so it is also used for these. The name 1149:Plus and minus signs are often used in 332:, they are not of great antiquity. The 2638:Unicode Version 1.0 · Character Blocks 2571:"6. Writing Systems and Punctuation". 1514: 1319:is also used to denote added lines in 816:"—to avoid giving the impression that 678:) has three main uses in mathematics: 249:functions, respectively. In addition, 47: 2703: 2701: 2647:from the original on 21 November 2021 2500:International Telecommunication Union 2078:. The Open Court Company, Publishers. 7: 3842: ⟨ ⟩  2317:. Creative Publications. p. 9. 2186:participating institution membership 1861: 1859: 1702:. The character is referred to as a 937:("B minus") is one grade lower than 455:(comparable to the evolution of the 2686:from the original on 9 October 2022 2258:A History of Mathematical Notations 1790:HEBREW LETTER ALTERNATIVE PLUS SIGN 1439:The plus sign sometimes represents 1395:advanced or retracted articulations 1195:a negative number is denoted by an 2284:A First Course in Abstract Algebra 1996:10.1111/j.1949-8594.2000.tb17262.x 1299: 1274: 1081: 1047: 720:of that argument. For example, if 25: 1899:The American Mathematical Monthly 1747:. This practice was adopted into 829:itself may already be negative). 436:, first printed and published in 2807: 2793: 2523:Hartell, Rhonda L., ed. (1993), 2470:Oxford Handbook of Adult Nursing 1808:Glossary of mathematical symbols 447:sign is a simplification of the 2724:from the original on 2017-01-06 2587:from the original on 2021-10-04 2553:from the original on 2021-06-02 2506:from the original on 2021-05-05 2349:from the original on 2020-08-12 2234:from the original on 2022-04-29 2147:from the original on 2022-05-03 2118:from the original on 2022-05-03 2054:from the original on 2018-01-26 1878:from the original on 2020-09-14 1387:International Phonetic Alphabet 1156:In some programming languages, 872: 823:is necessarily negative (since 804:to be read as "the opposite of 656: 342: 1984:School Science and Mathematics 1698:standard, where it was called 1678:most commonly used in digital 810:" or "the additive inverse of 27:Mathematical symbols (+ and −) 1: 2812:The dictionary definition of 2798:The dictionary definition of 2771:Unicode U+FB29 reference page 2708:Kaufmann Kohler (1901–1906). 2286:(4 ed.). United States: 2025:Accounting Historians Journal 1657:is used to denote subtraction 1287:) whereas 1 / 0 is 1166:"a" + "b" 945:being two grades higher than 494:'s book on "handy and pretty 2658:Loose vs. Precise Semantics. 2537:Biglow, Brad Morris (2001). 2367:Schwartzman, Steven (1994). 1978:Stallings, Lynn (May 2000). 1779:has this symbol at position 1474:is sometimes used to denote 1383:International Direct Dialing 1258:IEEE floating-point standard 879:Use in elementary education 253:represents the operation of 2404:(11 ed.). p. 171. 1485:, which denotes unattested 1347:Georg Christoph Lichtenberg 789:, the programming language 647:The symbol is also used in 4097: 3305:inverted ! and ? 2605:Korpela, Jukka K. (2006). 2400:Wheeler, Ruric E. (2001). 2282:Fraleigh, John B. (1989). 2139:Widmann, Johannes (1508). 2110:Widmann, Johannes (1489). 2037:10.2308/0148-4184.35.1.111 1721: 1694:derives from the original 666: 565: 43:Astrological sign polarity 40: 29: 3985: 3873: 3777: 3721:sound recording copyright 3675: 3580: 3463: 3331: 3244: 3179: 3005: 2865: 2609:. O'Reilly. p. 382. 2173:Oxford English Dictionary 1959:Ley, Willy (April 1965). 1487:linguistic reconstruction 589:. It can also serve as a 2527:. Dakar: UNESCO and SIL. 2454:10.1080/0020739780090211 2371:The words of mathematics 2311:Henri Picciotto (1990). 1963:. For Your Information. 1458:used to record games of 1280:{\displaystyle -\infty } 1117:. For example, A+ means 510:referred to the symbols 2525:The Alphabets of Africa 2261:, Cosimo, p. 164, 2178:Oxford University Press 1961:"Symbolically Speaking" 1632:Alternative minus signs 1305:{\displaystyle \infty } 1087:{\displaystyle \infty } 1053:{\displaystyle \infty } 786: 3838: { }  3830: ( )  3815: « »  3811: ‹ ›  3796: " "  3792: ' '  3788: “ ”  3784: ‘ ’  2716:; et al. (eds.). 2204:History of Mathematics 1965:Galaxy Science Fiction 1835:models, including the 1759:schools) but in fewer 1641: 1626:FULLWIDTH HYPHEN-MINUS 1496:, a plus sign denotes 1470:, while a double plus 1447:in the orthography of 1306: 1281: 1260:, 1 / −0 is 1088: 1054: 899:which can be read as: 669:Minus (disambiguation) 642:commutative operations 555:The Whetstone of Witte 548:, the designer of the 534: 528: 506:In his 1489 treatise, 503: 466:may be derived from a 452: 430: 416: 406: 281: 275: 4061:Elementary arithmetic 2631:"3.1 General scripts" 1872:mathworld.wolfram.com 1718:Alternative plus sign 1646:commercial minus sign 1639: 1307: 1282: 1089: 1055: 489: 334:Egyptian hieroglyphic 330:Hindu–Arabic numerals 257:, which results in a 213:COMMERCIAL MINUS SIGN 4066:Mathematical symbols 4035:Japanese punctuation 3736:registered trademark 3621: |  3479:plus and minus signs 2872:    2091:Intermediate Algebra 1296: 1268: 1078: 1044: 787:elementary education 630:algebraic structures 397:as a sign for plus. 239:mathematical symbols 57:Plus and minus signs 4025:Chinese punctuation 3751:service mark symbol 3494:multiplication sign 3012: &  2718:Jewish Encyclopedia 2176:(Online ed.). 1866:Weisstein, Eric W. 1831:at least the early 1612:FULLWIDTH PLUS SIGN 1235:regular expressions 987:In mathematics the 834:order of operations 540:Henricus Grammateus 4081:Sign (mathematics) 4040:Korean punctuation 4030:Hebrew punctuation 2776:2009-01-26 at the 2750:2023-04-08 at the 2402:Modern Mathematics 2343:www.mathsisfun.com 1813:⊕ (disambiguation) 1771:that looks like a 1753:elementary schools 1642: 1584:SMALL HYPHEN-MINUS 1456:algebraic notation 1397:of speech sounds. 1345:was introduced by 1343:electrical charges 1302: 1277: 1212:increment operator 1084: 1050: 926:Use as a qualifier 607:means the same as 568:+ (disambiguation) 504: 198:MINUS-OR-PLUS SIGN 4048: 4047: 3377:ordinal indicator 3320:irony punctuation 2616:978-0-596-10121-3 2607:Unicode explained 2324:978-0-88488-964-9 2184:(Subscription or 1967:. pp. 57–67. 1833:Texas Instruments 1761:secondary schools 1743:using the symbol 1674:) is the form of 1529: 1528: 1289:positive infinity 1262:negative infinity 1168:, and results in 1142:Uses in computing 873:§ Other uses 657:§ Other uses 481:⟨m⟩ 477:⟨m⟩ 384: 383: 380: 379: 376: 375: 362: 361: 358: 357: 298:⟨−⟩ 294:⟨+⟩ 269:, resulting in a 219: 218: 16:(Redirected from 4088: 3997:Currency symbols 3977: 3976: 3970: 3962: 3961: 3960:(paragraph mark) 3954: 3950: 3942: 3941: 3935: 3931: 3923: 3922: 3916: 3908: 3907: 3900: 3892: 3891: 3885: 3881: 3865: 3864: 3858: 3850: 3849: 3843: 3839: 3835: 3831: 3823: 3822: 3816: 3812: 3804: 3803: 3797: 3793: 3789: 3785: 3769: 3768: 3766:trademark symbol 3762: 3754: 3753: 3747: 3739: 3738: 3732: 3724: 3723: 3717: 3709: 3708: 3702: 3700: 3690: 3689: 3687:copyright symbol 3683: 3667: 3666: 3660: 3652: 3651: 3645: 3637: 3636: 3630: 3626: 3622: 3614: 3613: 3607: 3605: 3595: 3594: 3588: 3572: 3571: 3565: 3557: 3556: 3550: 3542: 3541: 3535: 3527: 3526: 3520: 3512: 3511: 3505: 3497: 3496: 3490: 3482: 3481: 3475: 3471: 3455: 3454: 3448: 3440: 3439: 3433: 3425: 3424: 3418: 3410: 3409: 3403: 3395: 3394: 3388: 3380: 3379: 3373: 3369: 3361: 3360: 3354: 3346: 3345: 3339: 3323: 3322: 3316: 3308: 3307: 3301: 3297: 3289: 3288: 3282: 3274: 3273: 3271:exclamation mark 3267: 3259: 3258: 3252: 3236: 3235: 3229: 3225: 3217: 3216: 3210: 3206: 3202: 3194: 3193: 3187: 3171: 3170: 3164: 3162: 3159: 3156: 3152: 3149: 3145: 3142: 3138: 3135: 3125: 3124: 3118: 3110: 3109: 3103: 3095: 3094: 3088: 3080: 3079: 3073: 3065: 3064: 3058: 3050: 3049: 3043: 3035: 3034: 3028: 3020: 3019: 3013: 2997: 2996: 2990: 2982: 2981: 2975: 2971: 2967: 2959: 2958: 2952: 2948: 2940: 2939: 2933: 2925: 2924: 2918: 2910: 2909: 2903: 2895: 2894: 2888: 2880: 2879: 2873: 2846: 2839: 2832: 2823: 2811: 2797: 2781: 2768: 2762: 2742: 2733: 2732: 2730: 2729: 2705: 2696: 2695: 2693: 2691: 2685: 2678: 2670: 2664: 2663: 2654: 2652: 2646: 2635: 2627: 2621: 2620: 2602: 2596: 2595: 2593: 2592: 2586: 2579: 2568: 2562: 2561: 2559: 2558: 2552: 2545: 2534: 2528: 2521: 2515: 2514: 2512: 2511: 2492: 2486: 2484: 2464: 2458: 2457: 2437: 2431: 2430: 2428: 2427: 2418:. Archived from 2412: 2406: 2405: 2397: 2391: 2390: 2374: 2364: 2358: 2357: 2355: 2354: 2335: 2329: 2328: 2308: 2302: 2301: 2279: 2273: 2271: 2249: 2243: 2242: 2240: 2239: 2224: 2218: 2217: 2196: 2190: 2189: 2181: 2169: 2162: 2156: 2155: 2153: 2152: 2136: 2127: 2126: 2124: 2123: 2107: 2098: 2097: 2086: 2080: 2079: 2069: 2063: 2062: 2060: 2059: 2053: 2022: 2013: 2007: 2006: 2004: 2002: 1975: 1969: 1968: 1956: 1950: 1938: 1932: 1931: 1893: 1887: 1886: 1884: 1883: 1863: 1843: 1829: 1791: 1788: 1785: 1783: 1770: 1766: 1746: 1732: 1673: 1655: 1651: 1627: 1624: 1621: 1619: 1613: 1610: 1607: 1605: 1599: 1596: 1593: 1591: 1585: 1582: 1579: 1577: 1571: 1568: 1565: 1563: 1557: 1554: 1551: 1549: 1543: 1540: 1537: 1535: 1515: 1473: 1465: 1462:, the plus sign 1446: 1377: 1376: 1375: 1372: 1364: 1363: 1362: 1359: 1323: 1318: 1311: 1309: 1308: 1303: 1286: 1284: 1283: 1278: 1244: 1240: 1225: 1221: 1217: 1202: 1190: 1182: 1171: 1167: 1131:augmented chords 1101: 1094: 1093: 1091: 1090: 1085: 1067: 1060: 1059: 1057: 1056: 1051: 1033: 1027: 1021: 1011: 1005: 999: 978: 974: 948: 944: 940: 936: 920: 916: 905: 894: 890: 871:. For more, see 859: 855: 843: 839: 828: 822: 815: 809: 803: 784: 780: 772: 760: 749: 741: 734: 726: 718:additive inverse 693: 677: 674:The minus sign ( 655:. For more, see 624: 620: 615:negative numbers 612: 606: 593:that leaves its 588: 576: 537: 531: 517: 513: 508:Johannes Widmann 492:Johannes Widmann 482: 478: 474: 473: 465: 461: 446: 435: 419: 413: 409: 403: 396: 369: 365: 351: 347: 343: 315: 307: 299: 295: 284: 278: 264: 252: 236: 228: 214: 210: 207: 205: 199: 195: 192: 190: 184: 180: 177: 175: 156: 152: 149: 143: 139: 136: 134: 128: 124: 121: 119: 102: 98: 95: 92: 90: 84: 80: 77: 74: 72: 48: 33: 21: 4096: 4095: 4091: 4090: 4089: 4087: 4086: 4085: 4051: 4050: 4049: 4044: 3981: 3972: 3969: §  3968: 3966: 3956: 3953: ⸿  3952: 3949: ¶  3948: 3946: 3937: 3934: ⌑  3933: 3930: ◊  3929: 3927: 3918: 3915: ☞  3914: 3912: 3906:(hedera, aldus) 3902: 3899: ❧  3898: 3896: 3887: 3884: ‡  3883: 3880: †  3879: 3877: 3869: 3860: 3857: ”  3856: 3854: 3845: 3841: 3837: 3833: 3829: 3827: 3818: 3814: 3810: 3808: 3799: 3795: 3791: 3787: 3783: 3781: 3773: 3764: 3760: 3758: 3749: 3745: 3743: 3734: 3731: ®  3730: 3728: 3719: 3716: ℗  3715: 3713: 3704: 3698: 3696: 3694: 3685: 3682: ©  3681: 3679: 3671: 3662: 3659: ·  3658: 3656: 3647: 3644: •  3643: 3641: 3632: 3629: ‖  3628: 3625: ¦  3624: 3620: 3618: 3609: 3603: 3601: 3599: 3590: 3587: _  3586: 3584: 3576: 3567: 3564: ^  3563: 3561: 3554:minus-plus sign 3552: 3549: ∓  3548: 3546: 3539:plus–minus sign 3537: 3534: ±  3533: 3531: 3522: 3519: ~  3518: 3516: 3507: 3504: ÷  3503: 3501: 3492: 3489: ×  3488: 3486: 3477: 3474: −  3473: 3470: +  3469: 3467: 3459: 3450: 3447: ⌀  3446: 3444: 3435: 3432: °  3431: 3429: 3420: 3417: ‱  3416: 3414: 3405: 3402: ‰  3401: 3399: 3390: 3387: %  3386: 3384: 3375: 3372: ª  3371: 3368: º  3367: 3365: 3356: 3353: №  3352: 3350: 3341: 3338: #  3337: 3335: 3327: 3318: 3315: ⸮  3314: 3312: 3303: 3300: ¿  3299: 3296: ¡  3295: 3293: 3284: 3281: ‽  3280: 3278: 3269: 3266: !  3265: 3263: 3254: 3251: ?  3250: 3248: 3240: 3231: 3228: ⸗  3227: 3224: ⹀  3223: 3221: 3212: 3209: —  3208: 3205: –  3204: 3201: ‒  3200: 3198: 3189: 3186: -  3185: 3183: 3175: 3166: 3160: 3157: 3154: 3150: 3147: 3143: 3140: 3136: 3133: 3131: 3129: 3120: 3117: ⁂  3116: 3114: 3105: 3102: *  3101: 3099: 3090: 3087: …  3086: 3084: 3075: 3072: \  3071: 3069: 3060: 3057: /  3056: 3054: 3045: 3042: ^  3041: 3039: 3030: 3027: @  3026: 3024: 3015: 3011: 3009: 3001: 2992: 2989: .  2988: 2986: 2977: 2974: ‴  2973: 2970: ″  2969: 2966: ′  2965: 2963: 2954: 2951: '  2950: 2947: ’  2946: 2944: 2935: 2932: ‐  2931: 2929: 2920: 2917: ;  2916: 2914: 2905: 2902: :  2901: 2899: 2890: 2887: ,  2886: 2884: 2875: 2871: 2869: 2861: 2850: 2790: 2785: 2784: 2778:Wayback Machine 2769: 2765: 2752:Wayback Machine 2743: 2736: 2727: 2725: 2707: 2706: 2699: 2689: 2687: 2683: 2676: 2672: 2671: 2667: 2650: 2648: 2644: 2633: 2629: 2628: 2624: 2617: 2604: 2603: 2599: 2590: 2588: 2584: 2577: 2570: 2569: 2565: 2556: 2554: 2550: 2543: 2536: 2535: 2531: 2522: 2518: 2509: 2507: 2494: 2493: 2489: 2481: 2466: 2465: 2461: 2439: 2438: 2434: 2425: 2423: 2414: 2413: 2409: 2399: 2398: 2394: 2387: 2366: 2365: 2361: 2352: 2350: 2337: 2336: 2332: 2325: 2314:The Algebra Lab 2310: 2309: 2305: 2298: 2281: 2280: 2276: 2269: 2253:Cajori, Florian 2251: 2250: 2246: 2237: 2235: 2226: 2225: 2221: 2214: 2198: 2197: 2193: 2183: 2164: 2163: 2159: 2150: 2148: 2138: 2137: 2130: 2121: 2119: 2109: 2108: 2101: 2088: 2087: 2083: 2071: 2070: 2066: 2057: 2055: 2051: 2031:(1): 111–134 . 2020: 2015: 2014: 2010: 2000: 1998: 1977: 1976: 1972: 1958: 1957: 1953: 1939: 1935: 1912:10.2307/2973180 1895: 1894: 1890: 1881: 1879: 1865: 1864: 1857: 1852: 1847: 1846: 1830: 1826: 1821: 1798: 1789: 1786: 1781: 1780: 1773:Christian cross 1768: 1764: 1744: 1733: 1726: 1720: 1671: 1653: 1649: 1634: 1625: 1622: 1617: 1616: 1611: 1608: 1603: 1602: 1598:SMALL PLUS SIGN 1597: 1594: 1589: 1588: 1583: 1580: 1575: 1574: 1569: 1566: 1561: 1560: 1555: 1552: 1547: 1546: 1541: 1538: 1533: 1532: 1525: 1513: 1511:Character codes 1494:botanical names 1471: 1463: 1373: 1370: 1368: 1367: 1366: 1360: 1357: 1355: 1354: 1353: 1339: 1294: 1293: 1266: 1265: 1144: 1127: 1108: 1096: 1076: 1075: 1069: 1062: 1042: 1041: 1035: 1029: 1023: 1013: 1007: 1001: 991: 989:one-sided limit 985: 976: 972: 946: 942: 938: 934: 928: 918: 914: 903: 892: 888: 881: 850:Microsoft Excel 841: 837: 824: 817: 811: 805: 798: 782: 778: 770: 751: 743: 736: 728: 721: 691: 688:binary operator 675: 672: 665: 622: 618: 608: 601: 586: 581:that indicates 579:binary operator 574: 573:The plus sign ( 571: 564: 526:(Modern German 515: 511: 480: 476: 471: 470: 463: 459: 444: 424:'s mathematics 411: 401: 394: 322: 309: 301: 297: 293: 262: 250: 241:used to denote 234: 226: 212: 208: 203: 202: 201: 197: 193: 188: 187: 186: 183:PLUS-MINUS SIGN 182: 178: 173: 172: 154: 150: 147: 145: 141: 137: 132: 131: 130: 126: 122: 117: 116: 100: 96: 93: 88: 87: 86: 82: 78: 75: 70: 69: 58: 46: 39: 36:Plus-minus sign 31: 28: 23: 22: 15: 12: 11: 5: 4094: 4092: 4084: 4083: 4078: 4073: 4068: 4063: 4053: 4052: 4046: 4045: 4043: 4042: 4037: 4032: 4027: 4021: 4020: 4015: 4010: 4005: 3999: 3993: 3992: 3986: 3983: 3982: 3980: 3979: 3964: 3944: 3925: 3910: 3894: 3874: 3871: 3870: 3868: 3867: 3852: 3834:   3825: 3806: 3801:quotation mark 3778: 3775: 3774: 3772: 3771: 3761:   3756: 3746:   3741: 3726: 3711: 3692: 3676: 3673: 3672: 3670: 3669: 3654: 3639: 3616: 3597: 3581: 3578: 3577: 3575: 3574: 3559: 3544: 3529: 3514: 3499: 3484: 3464: 3461: 3460: 3458: 3457: 3442: 3427: 3412: 3397: 3382: 3363: 3348: 3332: 3329: 3328: 3326: 3325: 3310: 3291: 3276: 3261: 3245: 3242: 3241: 3239: 3238: 3219: 3196: 3180: 3177: 3176: 3174: 3173: 3127: 3112: 3097: 3082: 3067: 3052: 3037: 3022: 3006: 3003: 3002: 3000: 2999: 2984: 2961: 2942: 2927: 2912: 2897: 2882: 2866: 2863: 2862: 2851: 2849: 2848: 2841: 2834: 2826: 2820: 2819: 2805: 2789: 2788:External links 2786: 2783: 2782: 2763: 2734: 2697: 2665: 2640:. p. 30. 2622: 2615: 2597: 2563: 2529: 2516: 2487: 2479: 2459: 2448:(2): 221–229. 2432: 2407: 2392: 2385: 2359: 2330: 2323: 2303: 2296: 2290:. p. 52. 2288:Addison-Wesley 2274: 2267: 2244: 2219: 2212: 2191: 2157: 2128: 2099: 2081: 2064: 2008: 1990:(5): 230–235. 1970: 1951: 1946:2013-07-08 at 1933: 1906:(6): 257–265. 1888: 1854: 1853: 1851: 1848: 1845: 1844: 1823: 1822: 1820: 1817: 1816: 1815: 1810: 1805: 1797: 1794: 1727: 1719: 1716: 1700:hyphen–(minus) 1633: 1630: 1629: 1628: 1614: 1600: 1586: 1572: 1558: 1544: 1527: 1526: 1523: 1520: 1519: 1512: 1509: 1498:graft-chimaera 1338: 1335: 1331:unified format 1327:context format 1325:output in the 1301: 1276: 1273: 1170:"ab" 1143: 1140: 1126: 1123: 1107: 1104: 1083: 1049: 984: 981: 927: 924: 923: 922: 908: 907: 897: 896: 880: 877: 846:Exponentiation 775: 774: 762: 695: 664: 661: 591:unary operator 563: 560: 546:Robert Recorde 382: 381: 378: 377: 374: 373: 360: 359: 356: 355: 321: 318: 217: 216: 170: 166: 165: 161: 160: 114: 113:Different from 110: 109: 108:Different from 105: 104: 67: 60: 59: 56: 53: 52: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 4093: 4082: 4079: 4077: 4074: 4072: 4069: 4067: 4064: 4062: 4059: 4058: 4056: 4041: 4038: 4036: 4033: 4031: 4028: 4026: 4023: 4022: 4019: 4016: 4014: 4011: 4009: 4008:Logic symbols 4006: 4003: 4000: 3998: 3995: 3994: 3991: 3988: 3987: 3984: 3975: 3971:   3965: 3959: 3955:   3945: 3940: 3936:   3926: 3921: 3917:   3911: 3905: 3901:   3895: 3890: 3886:   3876: 3875: 3872: 3863: 3859:   3853: 3848: 3844:   3826: 3821: 3817:   3807: 3802: 3798:   3780: 3779: 3776: 3767: 3763:   3757: 3752: 3748:   3742: 3737: 3733:   3727: 3722: 3718:   3712: 3707: 3703:   3693: 3688: 3684:   3678: 3677: 3674: 3665: 3661:   3655: 3650: 3646:   3640: 3635: 3631:   3617: 3612: 3608:   3598: 3593: 3589:   3583: 3582: 3579: 3570: 3566:   3560: 3555: 3551:   3545: 3540: 3536:   3530: 3525: 3521:   3515: 3510: 3509:division sign 3506:   3500: 3495: 3491:   3485: 3480: 3476:   3466: 3465: 3462: 3453: 3452:diameter sign 3449:   3443: 3438: 3437:degree symbol 3434:   3428: 3423: 3419:   3413: 3408: 3404:   3398: 3393: 3389:   3383: 3378: 3374:   3364: 3359: 3355:   3349: 3344: 3340:   3334: 3333: 3330: 3321: 3317:   3311: 3306: 3302:   3292: 3287: 3283:   3277: 3272: 3268:   3262: 3257: 3256:question mark 3253:   3247: 3246: 3243: 3234: 3233:double hyphen 3230:   3220: 3215: 3211:   3197: 3192: 3188:   3182: 3181: 3178: 3169: 3165:   3128: 3123: 3119:   3113: 3108: 3104:   3098: 3093: 3089:   3083: 3078: 3074:   3068: 3063: 3059:   3053: 3048: 3044:   3038: 3033: 3029:   3023: 3018: 3014:   3008: 3007: 3004: 2995: 2991:   2985: 2980: 2976:   2962: 2957: 2953:   2943: 2938: 2934:   2928: 2923: 2919:   2913: 2908: 2904:   2898: 2893: 2889:   2883: 2878: 2874:   2868: 2867: 2864: 2859: 2858:typographical 2855: 2847: 2842: 2840: 2835: 2833: 2828: 2827: 2824: 2818:at Wiktionary 2817: 2816: 2810: 2806: 2804:at Wiktionary 2803: 2802: 2796: 2792: 2791: 2787: 2779: 2775: 2772: 2767: 2764: 2760: 2759:0-8006-0771-6 2756: 2753: 2749: 2746: 2741: 2739: 2735: 2723: 2719: 2715: 2711: 2704: 2702: 2698: 2682: 2675: 2669: 2666: 2662: 2659: 2643: 2639: 2632: 2626: 2623: 2618: 2612: 2608: 2601: 2598: 2583: 2576: 2575: 2567: 2564: 2549: 2542: 2541: 2533: 2530: 2526: 2520: 2517: 2505: 2501: 2497: 2491: 2488: 2482: 2480:9780191039676 2476: 2472: 2471: 2463: 2460: 2455: 2451: 2447: 2443: 2436: 2433: 2422:on 2009-08-11 2421: 2417: 2411: 2408: 2403: 2396: 2393: 2388: 2386:9780883855119 2382: 2378: 2373: 2372: 2363: 2360: 2348: 2344: 2340: 2339:"Subtraction" 2334: 2331: 2326: 2320: 2316: 2315: 2307: 2304: 2299: 2297:0-201-52821-5 2293: 2289: 2285: 2278: 2275: 2270: 2268:9781602066847 2264: 2260: 2259: 2254: 2248: 2245: 2233: 2229: 2223: 2220: 2215: 2209: 2205: 2201: 2195: 2192: 2187: 2179: 2175: 2174: 2168: 2161: 2158: 2146: 2142: 2135: 2133: 2129: 2117: 2113: 2106: 2104: 2100: 2096: 2092: 2085: 2082: 2077: 2076: 2068: 2065: 2050: 2046: 2042: 2038: 2034: 2030: 2026: 2019: 2012: 2009: 1997: 1993: 1989: 1985: 1981: 1974: 1971: 1966: 1962: 1955: 1952: 1949: 1948:archive.today 1945: 1942: 1937: 1934: 1929: 1925: 1921: 1917: 1913: 1909: 1905: 1901: 1900: 1892: 1889: 1877: 1873: 1869: 1868:"Subtraction" 1862: 1860: 1856: 1849: 1842: 1838: 1834: 1828: 1825: 1818: 1814: 1811: 1809: 1806: 1803: 1800: 1799: 1795: 1793: 1778: 1774: 1762: 1758: 1754: 1750: 1742: 1738: 1731: 1725: 1717: 1715: 1713: 1709: 1705: 1701: 1697: 1693: 1689: 1685: 1681: 1677: 1669: 1664: 1662: 1658: 1647: 1638: 1631: 1615: 1601: 1587: 1573: 1559: 1545: 1531: 1530: 1521: 1516: 1510: 1508: 1506: 1501: 1499: 1495: 1490: 1488: 1484: 1479: 1477: 1469: 1461: 1457: 1452: 1450: 1444: 1437: 1435: 1431: 1427: 1423: 1419: 1415: 1411: 1407: 1403: 1398: 1396: 1392: 1388: 1384: 1379: 1350: 1348: 1344: 1336: 1334: 1332: 1328: 1324: 1314: 1312: 1290: 1271: 1263: 1259: 1255: 1250: 1248: 1236: 1231: 1229: 1213: 1209: 1204: 1198: 1194: 1186: 1178: 1173: 1163: 1159: 1158:concatenation 1154: 1152: 1147: 1141: 1139: 1137: 1132: 1124: 1122: 1120: 1116: 1112: 1105: 1103: 1099: 1073: 1065: 1039: 1032: 1026: 1020: 1016: 1010: 1004: 998: 994: 990: 982: 980: 969: 967: 963: 959: 955: 950: 931: 925: 913: 912: 911: 902: 901: 900: 887: 886: 885: 878: 876: 874: 870: 866: 861: 851: 847: 835: 830: 827: 821: 814: 808: 802: 794: 792: 788: 767: 763: 759: 755: 750:. Similarly, 747: 739: 732: 724: 719: 715: 712: 708: 704: 700: 696: 689: 685: 681: 680: 679: 670: 662: 660: 658: 654: 650: 645: 643: 639: 635: 634:vector spaces 631: 626: 616: 611: 605: 599: 596: 592: 584: 580: 569: 561: 559: 557: 556: 551: 547: 543: 541: 536: 530: 525: 521: 509: 501: 497: 493: 488: 484: 475:written over 469: 458: 454: 450: 441: 439: 434: 433: 427: 423: 418: 408: 398: 392: 388: 387:Nicole Oresme 371: 370: 367: 366: 353: 352: 349: 348: 345: 344: 341: 339: 335: 331: 327: 319: 317: 313: 308:for plus and 305: 290: 288: 283: 277: 272: 268: 260: 256: 248: 244: 240: 232: 224: 215: 200: 185: 171: 167: 162: 159: 144: 129: 115: 111: 106: 68: 66: 61: 54: 49: 44: 37: 19: 4013:Math symbols 3974:section mark 3634:vertical bar 3478: 3392:percent sign 3191:hyphen-minus 2814: 2800: 2766: 2726:. Retrieved 2717: 2688:. Retrieved 2668: 2657: 2656: 2649:. Retrieved 2637: 2625: 2606: 2600: 2589:. Retrieved 2573: 2566: 2555:. Retrieved 2539: 2532: 2524: 2519: 2508:. Retrieved 2490: 2469: 2462: 2445: 2441: 2435: 2424:. Retrieved 2420:the original 2410: 2401: 2395: 2370: 2362: 2351:. Retrieved 2342: 2333: 2313: 2306: 2283: 2277: 2257: 2247: 2236:. Retrieved 2222: 2203: 2194: 2171: 2160: 2149:. Retrieved 2120:. Retrieved 2094: 2090: 2084: 2074: 2067: 2056:. Retrieved 2028: 2024: 2011: 1999:. Retrieved 1987: 1983: 1973: 1964: 1954: 1936: 1903: 1897: 1891: 1880:. Retrieved 1871: 1827: 1740: 1734: 1711: 1707: 1703: 1699: 1692:hyphen-minus 1691: 1668:hyphen-minus 1665: 1643: 1570:HYPHEN-MINUS 1502: 1491: 1480: 1476:double check 1453: 1438: 1399: 1380: 1351: 1340: 1315: 1251: 1232: 1205: 1177:hyphen-minus 1174: 1155: 1148: 1145: 1128: 1119:type A blood 1109: 1097: 1071: 1063: 1037: 1030: 1024: 1018: 1014: 1008: 1002: 996: 992: 986: 970: 951: 932: 929: 909: 898: 882: 862: 840:is equal to 831: 825: 819: 812: 806: 800: 795: 776: 757: 753: 745: 737: 730: 722: 686:operator: a 673: 646: 638:matrix rings 627: 609: 603: 572: 553: 544: 523: 519: 505: 442: 422:Luca Pacioli 399: 385: 323: 291: 230: 222: 220: 127:HYPHEN-MINUS 34:symbol, see 4076:Subtraction 3422:basis point 3358:numero sign 3343:number sign 3286:interrobang 2854:punctuation 2714:Cyrus Adler 2690:10 December 2651:10 December 2200:Smith, D.E. 1755:(including 1661:Scandinavia 1644:There is a 1391:subscripted 1247:Kleene plus 1191:. While in 1179:character, 1164:is written 1136:superscript 1111:Blood types 1028:approaches 1006:approaches 983:Mathematics 910:or even as 856:is 25, but 684:subtraction 550:equals sign 532:; "more"): 391:manuscripts 316:for minus. 267:subtraction 265:represents 101:− 4055:Categories 4018:Whitespace 4002:Diacritics 3862:ditto mark 3664:interpunct 3592:underscore 2956:apostrophe 2856:and other 2815:minus sign 2728:2017-02-12 2591:2022-04-11 2557:2021-05-29 2510:2021-03-18 2426:2009-07-29 2353:2020-08-26 2238:2022-05-03 2213:0486204308 2188:required.) 2151:2022-05-03 2122:2022-05-03 2058:2012-04-29 1882:2020-08-26 1850:References 1722:See also: 1708:minus sign 1684:minus sign 1556:MINUS SIGN 1337:Other uses 1249:notation. 1197:underscore 1129:In music, 962:Paramount+ 836:mean that 663:Minus sign 632:, such as 496:arithmetic 426:compendium 292:The forms 271:difference 231:minus sign 229:) and the 97:MINUS SIGN 83:+ 18:Minus sign 4004:(accents) 3820:guillemet 3407:per mille 3077:backslash 3017:ampersand 2994:full stop 2922:semicolon 2801:plus sign 2045:107010686 1680:documents 1542:PLUS SIGN 1300:∞ 1275:∞ 1272:− 1151:tree view 1115:Rh factor 1082:∞ 1048:∞ 966:Apple TV+ 919:3 + 5 = 8 893:3 + 5 = 8 865:chemistry 735:, but if 692:5 − 3 = 2 649:chemistry 598:unchanged 587:2 + 3 = 5 562:Plus sign 500:merchants 457:ampersand 440:in 1494. 223:plus sign 79:PLUS SIGN 4071:Addition 3920:manicule 3706:copyleft 3122:asterism 3107:asterisk 3092:ellipsis 2774:Archived 2748:Archived 2722:Archived 2681:Archived 2642:Archived 2582:Archived 2548:Archived 2504:Archived 2502:. 2001. 2347:Archived 2255:(2007), 2232:Archived 2202:(1951). 2145:Archived 2116:Archived 2049:Archived 2001:13 April 1944:Archived 1876:Archived 1796:See also 1787:﬩ 1670:symbol ( 1623:- 1609:+ 1595:﹢ 1581:﹣ 1553:− 1483:asterisk 1410:Karaboro 1199:, as in 917:becomes 891:becomes 860:is −25. 714:argument 705:for any 699:function 585:, as in 583:addition 498:for all 483:itself. 338:Egyptian 326:alphabet 314:⟩ 310:⟨ 306:⟩ 302:⟨ 261:, while 255:addition 247:negative 243:positive 209:⁒ 194:∓ 169:See also 138:‐ 94:− 63:In  30:For the 3958:pilcrow 3939:lozenge 3904:fleuron 3847:bracket 3701:  3697:  3606:  3602:  3163:  3132:  3032:at sign 2860:symbols 2852:Common 2710:"Cross" 1928:1518824 1920:2973180 1802:En dash 1777:Unicode 1757:secular 1749:Israeli 1724:Up tack 1710:, or a 1454:In the 1449:Huichol 1329:or the 1220:y = ++x 1216:y = x++ 1162:strings 958:Disney+ 954:Google+ 904:3 −1 (5 875:below. 869:physics 742:, then 727:, then 716:is the 711:complex 653:physics 621:versus 595:operand 577:) is a 462:). 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Index

Minus sign
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

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