Knowledge (XXG)

Arabic numerals

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The reception of Arabic numerals in the West was gradual and lukewarm, as other numeral systems circulated in addition to the older Roman numbers. As a discipline, the first to adopt Arabic numerals as part of their own writings were astronomers and astrologists, evidenced from manuscripts surviving
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wrote in the early 11th century that mathematicians had not agreed on the form of the numerals, but most of them had agreed to train themselves with the forms now known as Eastern Arabic numerals. The oldest specimens of the written numerals available are from Egypt and date to 873–874 AD. They show
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By the late 14th century, only a few texts using Arabic numerals appeared outside of Italy. This suggests that the use of Arabic numerals in commercial practice, and the significant advantage they conferred, remained a virtual Italian monopoly until the late 15th century. This may in part have been
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The immediate ancestors of the digits now commonly called "Arabic numerals" were introduced to Europe in the 10th century by Arabic speakers of Spain and North Africa, with digits at the time in wide use from Libya to Morocco. In the east from Egypt to Iraq and the Arabian Peninsula, the Arabs were
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of the 12th and 13th centuries centered in Italy. Positional notation facilitated complex calculations (such as currency conversion) to be completed more quickly than was possible with the Roman system. In addition, the system could handle larger numbers, did not require a separate reckoning tool,
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When my father, who had been appointed by his country as public notary in the customs at Bugia acting for the Pisan merchants going there, was in charge, he summoned me to him while I was still a child, and having an eye to usefulness and future convenience, desired me to stay there and receive
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in 1699. Reasons for Peter's switch from the alphanumerical system are believed to go beyond a surface-level desire to imitate the West. Historian Peter Brown makes arguments for sociological, militaristic, and pedagogical reasons for the change. At a broad, societal level, Russian merchants,
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was written in Latin, the Italian abacus traditions was predominantly written in Italian vernaculars that circulated in the private collections of abacus schools or individuals. It was likely difficult for non-Italian merchant bankers to access comprehensive information.
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By the mid-16th century, they had been widely adopted in Europe, and by 1800 had almost completely replaced the use of counting boards and Roman numerals in accounting. Roman numerals were mostly relegated to niche uses such as years and numbers on clock faces.
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and allowed the user to check their work without repeating the entire procedure. Late medieval Italian merchants did not stop using Roman numerals or other reckoning tools: instead, Arabic numerals were adopted for use in addition to their preexisting methods.
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three forms of the numeral "2" and two forms of the numeral "3", and these variations indicate the divergence between what later became known as the Eastern Arabic numerals and the Western Arabic numerals. The Western Arabic numerals came to be used in the
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s analysis highlighting the advantages of positional notation was widely influential. Likewise, Fibonacci's use of the Béjaïa digits in his exposition ultimately led to their widespread adoption in Europe. Fibonacci's work coincided with the European
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numerals from the 14th century B.C. predates the Indian Brahmi numerals by over 1000 years and shows substantial similarity to the Brahmi numerals. Similar to the modern Arabic numerals, the Shang dynasty numeral system was also decimal based and
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A popular myth claims that the symbols were designed to indicate their numeric value through the number of angles they contained, but there is no contemporary evidence of this, and the myth is difficult to reconcile with any digits past 4.
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instruction in the school of accounting. There, when I had been introduced to the art of the Indians' nine symbols through remarkable teaching, knowledge of the art very soon pleased me above all else and I came to understand it.
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soldiers, and officials increasingly came into contact with counterparts from the West and became familiar with the communal use of Arabic numerals. Peter also covertly travelled throughout Northern Europe from 1697 to 1698
1912:"Les personnes qui se sont occupées de la science du calcul n'ont pas été d'accord sur une partie des formes de ces neuf signes; mais la plupart d'entre elles sont convenues de les former comme il suit." 3552: 991:), which involved writing symbols with a stylus and erasing them. The use of the dust board appears to have introduced a divergence in terminology as well: whereas the Hindu reckoning was called 1938:, pp. 12–13: "While specimens of Western Arabic numerals from the early period—the tenth to thirteenth centuries—are still not available, we know at least that Hindu reckoning (called 3541: 931:, using symbols visually distinct from those that would eventually enter into international use. As the concept spread, the sets of symbols used in different regions diverged over time. 3587: 2906: 2956: 2188: 2161:
Danna, Raffaele; Iori, Martina; Mina, Andrea (22 June 2022). "A Numerical Revolution: The Diffusion of Practical Mathematics and the Growth of Pre-modern European Economies".
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values, such as the trajectories and parabolic flight patterns of artillery. With its use, it was difficult to keep pace with Arabic numerals in the growing field of
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all but the four least-significant binary digits gives the value of the decimal digit, a design decision facilitating the digitization of text onto early computers.
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The Shorter Science & Civilisation in China Vol 2, An abridgement by Colin Ronan of Joseph Needham's original text, Table 20, p. 6, Cambridge University Press
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from the 10th century onward. Some amount of consistency in the Western Arabic numeral forms endured from the 10th century, found in a Latin manuscript of
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had been in use prior to the introduction of modern Arabic numerals, the externally-developed system was eventually introduced to medieval China by the
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subsequently helped popularize the adoption of Arabic numerals around the world. The numerals are used worldwide—significantly beyond the contemporary
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and was likely informally exposed to Western mathematics during this time. The Cyrillic system was found to be inferior for calculating practical
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The Spread of Hindu–Arabic Numerals in the European Tradition of Practical Arithmetic: a Socio-Economic Perspective (13th–16th centuries)
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The ten Arabic numerals are encoded in virtually every character set designed for electric, radio, and digital communication, such as
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from mid-12th-century Bavaria. Reinher of Paderborn (1140–1190) used the numerals in his calendrical tables to calculate the dates of
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from 976 and the Gerbertian abacus, into the 12th and 13th centuries, in early manuscripts of translations from the city of
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Burnett, Charles (2002). Dold-Samplonius, Yvonne; Van Dalen, Benno; Dauben, Joseph; Folkerts, Menso (eds.).
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was crucial in making them known throughout Europe; however, their use in Europe was largely confined to
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collection of various historical documents covering a period from antiquity to the 10th century in
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Encyclopaedia of the history of science, technology, and medicine in non-western cultures
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Burnett, Charles (2006). "The Semantics of Indian Numerals in Arabic, Greek and Latin".
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later invented a system of calculations with ink and paper 'without board and erasing' (
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in his youth. He was known to have requested mathematical treatises concerning the
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Islam in the era of globalization: Muslim attitudes towards modernity and identity
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Uy, Frederick L. (January 2003). "The Chinese Numeration System and Place Value".
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The universal history of numbers: from prehistory to the invention of the computer
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often implies only these symbols, however this can only be inferred from context.
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used a different offset, but also possessed the aforementioned masking property.
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The European acceptance of the numerals was accelerated by the invention of the
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The first mentions of the numerals from 1 to 9 in the West are found in the 976
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Evolution of Indian numerals into Arabic numerals and their adoption in Europe
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The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook
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Algebra in context : introductory algebra from origins to applications
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This article is about the ten symbols. For the numerical system, see
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Li, Qi and Shu: An Introduction to Science and Civilization in China
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Erdélyi: Magyar művelődéstörténet 1-2. kötet. Kolozsvár, 1913, 1918.
2018:"Medieval Europe's satanic ciphers: on the genesis of a modern myth" 1992:. Translated by Bellos, David. London: Harvill. pp. 356–357. 1883:
From China to Paris: 2000 Years Transmission of Mathematical Ideas
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The Bakhshālī Manuscript: An Ancient Indian Mathematical Treatise
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Etching from 1503 (or earlier) showing usage of Arabic numerals.
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The Compendious Book on Calculation by Completion and Balancing
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base, in particular when contrasted with other systems such as
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a 1470 inscription on the tomb of the first Earl of Huntly in
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mathematician who had studied in the Pisan trading colony of
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A Universal History of Numbers: From Prehistory to Computers
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Orthographic Reform and Language Planning in Russian History
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0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are the most commonly used
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Calculations were originally performed using a dust board (
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from 1396, in England, a 1445 inscription on the tower of
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A German manuscript page teaching use of Arabic numerals (
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Regional variations in modern handwritten Arabic numerals
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Positional decimal notation including a zero symbol was
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Gerbert d'Aurillac's early use of Hindu–Arabic numerals
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Book on the Measurement of Plane and Spherical Figures
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The first Arabic numerals in the West appeared in the
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While positional Chinese numeral systems such as the
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The Enterprise of Science in Islam: New Perspectives
2065:"Der "computus emendatus" des Reinher von Paderborn" 1094: 1083: 1020: 1010: 1004: 998: 992: 980: 3749: 3723: 3697: 3646: 3625: 3540: 3496: 3440: 3404: 3323: 3277: 3196: 3060: 2964: 2955: 2181:"14th century timepiece unearthed in Qld farm shed" 775:for writing numbers. The term often also implies a 862:encountered the numerals in the Algerian city of 1022:bi-ghayr takht wa-lā maḥw bal bi-dawāt wa-qirṭās 884:in the 15th century. European trade, books, and 2374:Campbell, Douglas M.; Higgins, John C. (1984). 1318:; and a 1487 inscription on the belfry door at 1278:due to language barriers: although Fibonacci's 2902:Numeral & Numbers' history and curiosities 2022:British Journal for the History of Mathematics 1353:Prior to the introduction of Arabic numerals, 1310:; a 1448 inscription on a wooden lych-gate of 2933: 1390:had been publishing on the topic since 1614. 1270:Table of numerals in many variants, 1757, by 748: 8: 2211:The Development of Arabic Numerals in Europe 1910: 1100: 779:using the numerals, as well as the use of a 27:The symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 1280: 1223: 1204: 1150: 1106: 1065: 1051: 986: 964: 868: 851:Europeans first learned of Arabic numerals 2961: 2940: 2926: 2918: 2716:. Groningen, Netherlands: Egbert Forsten. 2657:. In J. P. Hogendijk; A. I. Sabra (eds.). 2444:: CS1 maint: location missing publisher ( 1886:. Franz Steiner Verlag. pp. 237–288. 1254:Thott, 1459), presented together with the 910:History of the Hindu–Arabic numeral system 755: 741: 91: 62: 3674:Constantinople observatory of Taqi ad-Din 2949:Mathematics in the medieval Islamic world 2796: 2098:. Princeton University Press. p. 1. 1975: 1963: 1951: 1935: 1923: 1906: 1853: 1406:oracle bone numerals of 14th century B.C. 1386:, whereas Western mathematicians such as 38:. For symbols used in Arabic script, see 1468: 2232:Conatser Segura, Sylvia (26 May 2020). 2130:(PhD thesis). University of Cambridge. 1764: 74: 3595:Encyclopedia of the Brethren of Purity 2874:O'Connor, J. J., and E. F. Robertson, 2437: 2377:Mathematics: People, Problems, Results 1458:encodings) at positions 0x30 to 0x39. 2753:Katz, Victor J., ed. (20 July 2007). 2191:from the original on 29 February 2012 2119: 2117: 2115: 2016:Nothaft, C. Philipp E. (3 May 2020). 2011: 2009: 1785:from the original on 21 November 2021 7: 2691:(1–2). Springer-Netherlands: 15–30. 2615:"The Unicode Standard, Version 13.0" 2595:from the original on 27 October 2015 2556:from the original on 27 October 2015 2517:from the original on 27 October 2015 1875: 1873: 1836:Danna, Raffaele (13 January 2021). 1781:. Houghton Mifflin Harcourt. 2020. 1101: 1334:Cathedral. In central Europe, the 1172:. The list on the right shows the 25: 2542:. Psychology Press. p. 272. 2352:from the original on 30 July 2022 2293:from the original on 30 July 2022 2242:from the original on 30 July 2022 2142:from the original on 27 July 2021 2075:from the original on 30 July 2022 1140:after he had returned to France. 828:, and the fully capitalized term 3531: 2631:from the original on 2 June 2001 2312:Lockwood, E. H. (October 1978). 2124:Danna, Raffaele (12 July 2021). 1111:, which became the English word 1105:), transliterated into Latin as 44:Arabic numerals (disambiguation) 2859:"Counting Systems and Numerals" 2096:Topics in Mathematical Modeling 1298:includes: an equal hour horary 1093:. The Arabic term for zero is 1: 3567:Principles of Hindu Reckoning 2865:. Retrieved 11 December 2005. 2820:Number Theory and Its History 2461:Teaching Children Mathematics 2034:10.1080/26375451.2020.1726050 852: 2685:Journal of Indian Philosophy 2661:. MIT Press. pp. 3–22. 2420:Shell-Gellasch, Amy (2015). 1778:American Heritage Dictionary 941:٠, ١, ٢, ٣, ٤, ٥, ٦, ٧, ٨, ٩ 890:spread of the Latin alphabet 3757:Hindu–Arabic numeral system 3689:University of al-Qarawiyyin 2773:"Mathematics in South Asia" 2536:Meuleman, Johan H. (2002). 1095: 1084: 1021: 1011: 1005: 999: 997:in the east, it was called 993: 981: 880:until the invention of the 36:Hindu–Arabic numeral system 3823: 3659:Al-Mustansiriya University 3638:Islamic geometric patterns 3386:Shams al-Din al-Samarqandi 1120:From the 980s, Gerbert of 907: 475:Non-standard radices/bases 29: 3529: 2697:10.1007/s10781-005-8153-z 2503:. Springer. p. 198. 2424:. J. B. Thoo. Baltimore. 2279:10.1163/48763316-03904001 1855:10.1163/18253911-bja10004 1824:Oxford English Dictionary 1739:Arabic numeral variations 1479: 1476: 1473: 1471: 940: 821:Oxford English Dictionary 3412:Nizam al-Din al-Nisapuri 3371:Muhyi al-Din al-Maghribi 2888:History of the numerals 2869:The Evolution of Numbers 2653:Kunitzsch, Paul (2003). 2380:. Taylor & Francis. 2318:The Mathematical Gazette 2261:Brown, Peter B. (2012). 1376:during his Grand Embassy 1339:Ladislaus the Posthumous 1148:more easily in his text 939:or "Mashriki" numerals: 866:. His 13th-century work 3781:History of trigonometry 3776:Trigonometric functions 3770:Western Arabic numerals 3766:Eastern Arabic numerals 3331:Ibn al‐Ha'im al‐Ishbili 2816:"Hindu–Arabic numerals" 2712:Hayashi, Takao (1995). 2063:Herold, Werner (2005). 1988:Ifrah, Georges (1998). 1809:26 October 2021 at the 1178:Eastern Arabic numerals 937:Eastern Arabic numerals 856: the 10th century 834:Eastern Arabic numerals 796:Western Arabic numerals 731:List of numeral systems 55:Arabic numerals set in 40:Eastern Arabic numerals 3705:Babylonian mathematics 3396:Kamāl al-Dīn al-Fārisī 3381:Qutb al-Din al-Shirazi 3376:al-Hasan al-Marrakushi 3300:Al-Samawal al-Maghribi 3229:Abu Mansur al-Baghdadi 2972:'Abd al-Hamīd ibn Turk 1911: 1804:Terminology for Digits 1450:. They are encoded in 1407: 1281: 1274: 1263: 1224: 1219: 1205: 1184: 1151: 1107: 1066: 1060: 1052: 1037: 987: 965: 924: 869: 60: 42:. For other uses, see 3731:Byzantine mathematics 3519:Ibn Hamza al-Maghribi 3346:Alam al-Din al-Hanafi 3310:Sharaf al-Din al-Tusi 2897:Hindu–Arabic numerals 2814:Ore, Oystein (1988). 2575:Peng Yoke Ho (2000). 1813:. Unicode Consortium. 1749:Seven-segment display 1401: 1272:Jean-Étienne Montucla 1269: 1249: 1235:commercial revolution 1214: 1167: 1048: 1035: 922: 804:Hindu–Arabic numerals 794:They are also called 99:Hindu–Arabic numerals 54: 3736:European mathematics 3684:Maragheh observatory 3509:Muhammad Baqir Yazdi 3488:Ibn Ghazi al-Miknasi 3361:Nasir al-Din al-Tusi 3269:Muhammad al-Baghdadi 2473:10.5951/tcm.9.5.0243 2213:, for more examples. 2094:Tung, K. K. (2016). 1138:Lupitus of Barcelona 628:Prehistoric counting 404:Common radices/bases 86:Place-value notation 3654:Al-Azhar University 3581:The Book of Healing 2987:Al-Ḥajjāj ibn Yūsuf 2881:6 July 2015 at the 2789:1961Natur.189S.273. 2783:(4761): 273. 1961. 2738:. New York: Wiley. 1700:U+0038 DIGIT EIGHT 1677:U+0037 DIGIT SEVEN 1585:U+0033 DIGIT THREE 1424:counting rod system 1357:, derived from the 1041:Adoption and spread 777:positional notation 575:Sign-value notation 3786:History of algebra 3741:Indian mathematics 3715:Indian mathematics 3664:House of Knowledge 3118:Brethren of Purity 3012:Banū Mūsā brothers 2822:. Dover. pp.  2136:10.17863/cam.72497 1723:U+0039 DIGIT NINE 1631:U+0035 DIGIT FIVE 1608:U+0034 DIGIT FOUR 1516:U+0030 DIGIT ZERO 1454:(and therefore in 1408: 1275: 1264: 1188:Leonardo Fibonacci 1185: 1174:Fibonacci sequence 1152:Computus emendatus 1061: 1038: 1009:'dust figures' or 960:Isidore of Seville 929:developed in India 925: 231:East Asian systems 61: 3794: 3793: 3710:Greek mathematics 3633:Alhazen's problem 3527: 3526: 3148:Ibrahim ibn Sinan 3098:Sinān ibn al-Fatḥ 2855:13 (1996): 35–54. 2668:978-0-262-19482-2 2588:978-0-486-41445-4 2549:978-0-7007-1691-3 2510:978-0-7923-4066-9 2431:978-1-4214-1728-8 2387:978-0-534-02879-4 2238:(Honors thesis). 2105:978-1-4008-8405-6 1999:978-1-860-46324-2 1893:978-3-515-08223-5 1730: 1729: 1654:U+0036 DIGIT SIX 1562:U+0032 DIGIT TWO 1539:U+0031 DIGIT ONE 1359:Cyrillic alphabet 1355:Cyrillic numerals 1198:, in what is now 1126:Pope Sylvester II 1054:Codex Albeldensis 765: 764: 564: 563: 16:(Redirected from 3814: 3609:Tabula Rogeriana 3535: 3483:Sibt al-Maridini 3143:Sinan ibn Thabit 3052:Abu Said Gorgani 3042:Thābit ibn Qurra 3032:Ishaq ibn Hunayn 3017:Hunayn ibn Ishaq 2962: 2942: 2935: 2928: 2919: 2885:. November 2000. 2871:. 16 April 2005. 2837: 2810: 2800: 2798:10.1038/189273c0 2768: 2749: 2727: 2708: 2672: 2641: 2640: 2638: 2636: 2630: 2619: 2611: 2605: 2604: 2602: 2600: 2572: 2566: 2565: 2563: 2561: 2533: 2527: 2526: 2524: 2522: 2491: 2485: 2484: 2456: 2450: 2449: 2443: 2435: 2417: 2411: 2401: 2392: 2391: 2371: 2362: 2361: 2359: 2357: 2309: 2303: 2302: 2300: 2298: 2258: 2252: 2251: 2249: 2247: 2229: 2223: 2220: 2214: 2209:See G. F. Hill, 2207: 2201: 2200: 2198: 2196: 2177: 2171: 2170: 2158: 2152: 2151: 2149: 2147: 2121: 2110: 2109: 2091: 2085: 2084: 2082: 2080: 2060: 2054: 2053: 2013: 2004: 2003: 1985: 1979: 1973: 1967: 1961: 1955: 1949: 1943: 1933: 1927: 1921: 1915: 1914: 1904: 1898: 1897: 1877: 1868: 1867: 1857: 1833: 1827: 1820: 1814: 1801: 1795: 1794: 1792: 1790: 1773:"Arabic numeral" 1769: 1469: 1284: 1231: 1227: 1210: 1154: 1110: 1104: 1103: 1098: 1087: 1071: 1057: 1024: 1015:'dust letters'. 1014: 1008: 1006:ashkāl al‐ghubār 1002: 996: 990: 984: 970: 942: 874: 857: 854: 757: 750: 743: 546: 530: 512: 502:balanced ternary 499: 486: 92: 63: 21: 3822: 3821: 3817: 3816: 3815: 3813: 3812: 3811: 3797: 3796: 3795: 3790: 3762:Arabic numerals 3745: 3719: 3693: 3669:House of Wisdom 3642: 3621: 3543: 3536: 3523: 3492: 3436: 3422:Ibn al-Durayhim 3400: 3319: 3285:Jabir ibn Aflah 3273: 3204:Abu Nasr Mansur 3192: 3088:Ahmad ibn Yusuf 3056: 2951: 2946: 2892:Arabic numerals 2883:Wayback Machine 2876:Indian numerals 2853:Chinese Science 2844: 2834: 2813: 2771: 2765: 2752: 2746: 2730: 2724: 2711: 2682: 2679: 2677:Further reading 2669: 2652: 2649: 2644: 2634: 2632: 2628: 2617: 2613: 2612: 2608: 2598: 2596: 2589: 2574: 2573: 2569: 2559: 2557: 2550: 2535: 2534: 2530: 2520: 2518: 2511: 2493: 2492: 2488: 2458: 2457: 2453: 2436: 2432: 2419: 2418: 2414: 2402: 2395: 2388: 2373: 2372: 2365: 2355: 2353: 2330:10.2307/3616704 2311: 2310: 2306: 2296: 2294: 2267:Russian History 2260: 2259: 2255: 2245: 2243: 2231: 2230: 2226: 2221: 2217: 2208: 2204: 2194: 2192: 2179: 2178: 2174: 2160: 2159: 2155: 2145: 2143: 2123: 2122: 2113: 2106: 2093: 2092: 2088: 2078: 2076: 2062: 2061: 2057: 2015: 2014: 2007: 2000: 1987: 1986: 1982: 1978:, pp. 7–8. 1974: 1970: 1962: 1958: 1950: 1946: 1940:ḥisāb al-ghubār 1934: 1930: 1922: 1918: 1905: 1901: 1894: 1879: 1878: 1871: 1835: 1834: 1830: 1821: 1817: 1811:Wayback Machine 1802: 1798: 1788: 1786: 1771: 1770: 1766: 1762: 1735: 1711:0011 1001 1688:0011 1000 1665:0011 0111 1642:0011 0110 1619:0011 0101 1596:0011 0100 1573:0011 0011 1550:0011 0010 1527:0011 0001 1504:0011 0000 1481: 1444: 1428:Suzhou numerals 1396: 1371:Peter the Great 1361:, were used by 1351: 1336:King of Hungary 1320:Piddletrenthide 1256:Hebrew alphabet 1244: 1229: 1182:Indian numerals 1162: 1068:Codex Vigilanus 1043: 1012:qalam al-ghubår 1000:ḥisāb al-ghubār 917: 912: 906: 855: 830:Arabic Numerals 826:Arabic numerals 824:uses lowercase 816:European digits 800:Ghubār numerals 769:Arabic numerals 761: 725: 724: 647: 633:Proto-cuneiform 578: 577: 566: 565: 560: 559: 544: 528: 510: 497: 484: 471: 400: 399: 387: 386: 367: 327: 312: 303: 302: 293: 292: 274: 233: 232: 223: 222: 174: 116: 102: 101: 89: 88: 76:Numeral systems 47: 28: 23: 22: 15: 12: 11: 5: 3820: 3818: 3810: 3809: 3799: 3798: 3792: 3791: 3789: 3788: 3783: 3778: 3773: 3759: 3753: 3751: 3747: 3746: 3744: 3743: 3738: 3733: 3727: 3725: 3721: 3720: 3718: 3717: 3712: 3707: 3701: 3699: 3695: 3694: 3692: 3691: 3686: 3681: 3676: 3671: 3666: 3661: 3656: 3650: 3648: 3644: 3643: 3641: 3640: 3635: 3629: 3627: 3623: 3622: 3620: 3619: 3612: 3605: 3602:Toledan Tables 3598: 3591: 3584: 3577: 3574:Book of Optics 3570: 3563: 3556: 3548: 3546: 3538: 3537: 3530: 3528: 3525: 3524: 3522: 3521: 3516: 3511: 3506: 3500: 3498: 3494: 3493: 3491: 3490: 3485: 3480: 3475: 3470: 3465: 3460: 3455: 3450: 3444: 3442: 3438: 3437: 3435: 3434: 3429: 3424: 3419: 3414: 3408: 3406: 3402: 3401: 3399: 3398: 3393: 3388: 3383: 3378: 3373: 3368: 3363: 3358: 3353: 3348: 3343: 3338: 3333: 3327: 3325: 3321: 3320: 3318: 3317: 3315:Ibn al-Yasamin 3312: 3307: 3302: 3297: 3292: 3287: 3281: 3279: 3275: 3274: 3272: 3271: 3266: 3261: 3256: 3251: 3246: 3241: 3236: 3231: 3226: 3221: 3216: 3214:Kushyar Gilani 3211: 3206: 3200: 3198: 3194: 3193: 3191: 3190: 3185: 3180: 3175: 3170: 3165: 3160: 3158:Nazif ibn Yumn 3155: 3150: 3145: 3140: 3135: 3130: 3125: 3120: 3115: 3110: 3105: 3100: 3095: 3090: 3085: 3080: 3075: 3070: 3064: 3062: 3058: 3057: 3055: 3054: 3049: 3044: 3039: 3037:Na'im ibn Musa 3034: 3029: 3027:Yusuf al-Khuri 3024: 3019: 3014: 3009: 3004: 2999: 2997:Qusta ibn Luqa 2994: 2989: 2984: 2979: 2974: 2968: 2966: 2959: 2957:Mathematicians 2953: 2952: 2947: 2945: 2944: 2937: 2930: 2922: 2916: 2915: 2914: 2913: 2904: 2899: 2894: 2886: 2872: 2866: 2856: 2847:Lam Lay Yong, 2843: 2842:External links 2840: 2839: 2838: 2832: 2811: 2769: 2764:978-0691114859 2763: 2750: 2744: 2732:Ifrah, Georges 2728: 2722: 2709: 2678: 2675: 2674: 2673: 2667: 2648: 2645: 2643: 2642: 2606: 2587: 2567: 2548: 2528: 2509: 2497:, ed. (1997). 2495:Selin, Helaine 2486: 2467:(5): 243–247. 2451: 2430: 2412: 2393: 2386: 2363: 2304: 2273:(4): 393–459. 2253: 2224: 2215: 2202: 2172: 2153: 2111: 2104: 2086: 2055: 2028:(2): 107–136. 2005: 1998: 1980: 1976:Kunitzsch 2003 1968: 1964:Kunitzsch 2003 1956: 1952:Kunitzsch 2003 1944: 1936:Kunitzsch 2003 1928: 1924:Kunitzsch 2003 1916: 1907:Kunitzsch 2003 1899: 1892: 1869: 1828: 1815: 1796: 1763: 1761: 1758: 1757: 1756: 1751: 1746: 1741: 1734: 1731: 1728: 1727: 1724: 1721: 1718: 1715: 1712: 1709: 1705: 1704: 1701: 1698: 1695: 1692: 1689: 1686: 1682: 1681: 1678: 1675: 1672: 1669: 1666: 1663: 1659: 1658: 1655: 1652: 1649: 1646: 1643: 1640: 1636: 1635: 1632: 1629: 1626: 1623: 1620: 1617: 1613: 1612: 1609: 1606: 1603: 1600: 1597: 1594: 1590: 1589: 1586: 1583: 1580: 1577: 1574: 1571: 1567: 1566: 1563: 1560: 1557: 1554: 1551: 1548: 1544: 1543: 1540: 1537: 1534: 1531: 1528: 1525: 1521: 1520: 1517: 1514: 1511: 1508: 1505: 1502: 1498: 1497: 1494: 1491: 1488: 1484: 1483: 1478: 1475: 1472: 1443: 1440: 1395: 1392: 1350: 1347: 1292:printing press 1243: 1240: 1168:A page of the 1161: 1158: 1042: 1039: 994:ḥisāb al-hindī 916: 913: 908:Main article: 905: 902: 882:printing press 878:Northern Italy 808:Western digits 785:Roman numerals 763: 762: 760: 759: 752: 745: 737: 734: 733: 727: 726: 723: 722: 717: 712: 707: 702: 697: 692: 687: 686: 685: 680: 675: 665: 660: 654: 653: 646: 645: 640: 635: 630: 625: 620: 615: 610: 605: 600: 595: 590: 584: 583: 582:Non-alphabetic 579: 573: 572: 571: 568: 567: 562: 561: 558: 557: 552: 539: 523: 518: 505: 492: 478: 477: 470: 469: 462: 457: 452: 447: 442: 437: 432: 427: 422: 417: 412: 406: 405: 401: 394: 393: 392: 389: 388: 385: 384: 378: 372: 371: 366: 365: 360: 355: 350: 345: 340: 334: 333: 331:Post-classical 326: 325: 319: 318: 311: 310: 304: 300: 299: 298: 295: 294: 291: 290: 285: 279: 278: 273: 272: 267: 262: 257: 252: 251: 250: 239: 238: 234: 230: 229: 228: 225: 224: 221: 220: 215: 210: 205: 200: 195: 190: 185: 180: 173: 172: 167: 162: 157: 152: 147: 142: 137: 132: 127: 122: 115: 114: 112:Eastern Arabic 109: 107:Western Arabic 103: 97: 96: 95: 90: 84: 83: 82: 79: 78: 72: 71: 26: 24: 18:Arabic numeral 14: 13: 10: 9: 6: 4: 3: 2: 3819: 3808: 3805: 3804: 3802: 3787: 3784: 3782: 3779: 3777: 3774: 3771: 3767: 3763: 3760: 3758: 3755: 3754: 3752: 3748: 3742: 3739: 3737: 3734: 3732: 3729: 3728: 3726: 3722: 3716: 3713: 3711: 3708: 3706: 3703: 3702: 3700: 3696: 3690: 3687: 3685: 3682: 3680: 3677: 3675: 3672: 3670: 3667: 3665: 3662: 3660: 3657: 3655: 3652: 3651: 3649: 3645: 3639: 3636: 3634: 3631: 3630: 3628: 3624: 3618: 3617: 3613: 3611: 3610: 3606: 3604: 3603: 3599: 3597: 3596: 3592: 3590: 3589: 3585: 3583: 3582: 3578: 3576: 3575: 3571: 3569: 3568: 3564: 3562: 3561: 3557: 3555: 3554: 3550: 3549: 3547: 3545: 3539: 3534: 3520: 3517: 3515: 3512: 3510: 3507: 3505: 3502: 3501: 3499: 3495: 3489: 3486: 3484: 3481: 3479: 3476: 3474: 3471: 3469: 3466: 3464: 3461: 3459: 3456: 3454: 3451: 3449: 3446: 3445: 3443: 3439: 3433: 3430: 3428: 3425: 3423: 3420: 3418: 3417:Ibn al-Shatir 3415: 3413: 3410: 3409: 3407: 3403: 3397: 3394: 3392: 3391:Ibn al-Banna' 3389: 3387: 3384: 3382: 3379: 3377: 3374: 3372: 3369: 3367: 3364: 3362: 3359: 3357: 3354: 3352: 3349: 3347: 3344: 3342: 3339: 3337: 3336:Ahmad al-Buni 3334: 3332: 3329: 3328: 3326: 3322: 3316: 3313: 3311: 3308: 3306: 3303: 3301: 3298: 3296: 3293: 3291: 3288: 3286: 3283: 3282: 3280: 3276: 3270: 3267: 3265: 3262: 3260: 3257: 3255: 3252: 3250: 3247: 3245: 3242: 3240: 3237: 3235: 3232: 3230: 3227: 3225: 3222: 3220: 3217: 3215: 3212: 3210: 3207: 3205: 3202: 3201: 3199: 3195: 3189: 3186: 3184: 3181: 3179: 3176: 3174: 3171: 3169: 3166: 3164: 3161: 3159: 3156: 3154: 3151: 3149: 3146: 3144: 3141: 3139: 3136: 3134: 3131: 3129: 3126: 3124: 3121: 3119: 3116: 3114: 3111: 3109: 3106: 3104: 3101: 3099: 3096: 3094: 3091: 3089: 3086: 3084: 3081: 3079: 3076: 3074: 3071: 3069: 3066: 3065: 3063: 3059: 3053: 3050: 3048: 3045: 3043: 3040: 3038: 3035: 3033: 3030: 3028: 3025: 3023: 3020: 3018: 3015: 3013: 3010: 3008: 3005: 3003: 3000: 2998: 2995: 2993: 2990: 2988: 2985: 2983: 2980: 2978: 2977:Sanad ibn Ali 2975: 2973: 2970: 2969: 2967: 2963: 2960: 2958: 2954: 2950: 2943: 2938: 2936: 2931: 2929: 2924: 2923: 2920: 2912: 2908: 2905: 2903: 2900: 2898: 2895: 2893: 2890: 2889: 2887: 2884: 2880: 2877: 2873: 2870: 2867: 2864: 2860: 2857: 2854: 2850: 2846: 2845: 2841: 2835: 2829: 2825: 2821: 2817: 2812: 2808: 2804: 2799: 2794: 2790: 2786: 2782: 2778: 2774: 2770: 2766: 2760: 2756: 2751: 2747: 2741: 2737: 2733: 2729: 2725: 2719: 2715: 2710: 2706: 2702: 2698: 2694: 2690: 2686: 2681: 2680: 2676: 2670: 2664: 2660: 2656: 2651: 2650: 2646: 2627: 2623: 2616: 2610: 2607: 2594: 2590: 2584: 2580: 2579: 2571: 2568: 2555: 2551: 2545: 2541: 2540: 2532: 2529: 2516: 2512: 2506: 2502: 2501: 2496: 2490: 2487: 2482: 2478: 2474: 2470: 2466: 2462: 2455: 2452: 2447: 2441: 2433: 2427: 2423: 2416: 2413: 2410: 2409:0-521-23582-0 2406: 2400: 2398: 2394: 2389: 2383: 2379: 2378: 2370: 2368: 2364: 2351: 2347: 2343: 2339: 2335: 2331: 2327: 2323: 2319: 2315: 2308: 2305: 2292: 2288: 2284: 2280: 2276: 2272: 2268: 2264: 2257: 2254: 2241: 2237: 2236: 2228: 2225: 2219: 2216: 2212: 2206: 2203: 2190: 2186: 2182: 2176: 2173: 2168: 2164: 2157: 2154: 2141: 2137: 2133: 2129: 2128: 2120: 2118: 2116: 2112: 2107: 2101: 2097: 2090: 2087: 2074: 2071:(in German). 2070: 2066: 2059: 2056: 2051: 2047: 2043: 2039: 2035: 2031: 2027: 2023: 2019: 2012: 2010: 2006: 2001: 1995: 1991: 1984: 1981: 1977: 1972: 1969: 1966:, p. 10. 1965: 1960: 1957: 1953: 1948: 1945: 1941: 1937: 1932: 1929: 1925: 1920: 1917: 1913: 1909:, p. 7: 1908: 1903: 1900: 1895: 1889: 1885: 1884: 1876: 1874: 1870: 1865: 1861: 1856: 1851: 1847: 1843: 1839: 1832: 1829: 1826:, 2nd edition 1825: 1819: 1816: 1812: 1808: 1805: 1800: 1797: 1784: 1780: 1779: 1774: 1768: 1765: 1759: 1755: 1752: 1750: 1747: 1745: 1742: 1740: 1737: 1736: 1732: 1725: 1722: 1719: 1716: 1713: 1710: 1707: 1706: 1702: 1699: 1696: 1693: 1690: 1687: 1684: 1683: 1679: 1676: 1673: 1670: 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Retrieved 1776: 1767: 1754:Text figures 1445: 1421: 1410:The Chinese 1409: 1352: 1343: 1289: 1279: 1276: 1222: 1220: 1215: 1203: 1186: 1169: 1149: 1142: 1119: 1112: 1064: 1062: 1050: 1027: 978: 963: 945: 933: 926: 867: 850: 845: 841: 837: 829: 825: 819: 815: 812:Latin digits 811: 807: 803: 799: 795: 793: 768: 766: 534: 495:Signed-digit 370:Contemporary 237:Contemporary 106: 48: 3560:De Gradibus 3514:Taqi ad-Din 3504:Al-Birjandi 3478:al-Qalaṣādī 3259:Al-Isfizari 3224:Ibn al-Samh 3153:Al-Isfahani 3133:al-Uqlidisi 3103:al-Khojandi 3068:Abu al-Wafa 3007:al-Dinawari 2965:9th century 2911:Convergence 2635:1 September 2622:unicode.org 2195:10 November 1848:(1): 5–48. 1789:21 November 1388:John Napier 1282:Liber Abaci 1225:Liber Abaci 1207:Liber Abaci 1170:Liber Abaci 1075:illuminated 1017:Al-Uqlidisi 967:Etymologiae 886:colonialism 871:Liber Abaci 836:. 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Index

Arabic numeral
Decimal
Hindu–Arabic numeral system
Eastern Arabic numerals
Arabic numerals (disambiguation)
Numbers written from 0 to 9
Source Sans
a series
Numeral systems
Place-value notation
Hindu–Arabic numerals
Western Arabic
Eastern Arabic
Bengali
Devanagari
Gujarati
Gurmukhi
Odia
Sinhala
Tamil
Malayalam
Telugu
Kannada
Dzongkha
Tibetan
Balinese
Burmese
Javanese
Khmer
Lao

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