Knowledge

1

Source 📝

1633: 1518: 1584: 10212: 10172: 1530: 10192: 10182: 10202: 1429: 2463:"Naeuw-keurig reys-boek: bysonderlijk dienstig voor kooplieden, en reysende persoonen, sijnde een trysoor voor den koophandel, in sigh begrijpende alle maate, en gewighte, Boekhouden, Wissel, Asseurantie ... : vorders hoe men ... kan reysen ... door Neederlandt, Duytschlandt, Vrankryk, Spanjen, Portugael en Italiën ..." 1871:
traditions. The Pythagoreans considered the numbers to be plural and therefore did not classify 1 itself as a number, but as the origin of all numbers. In their number philosophy, where odd numbers were considered male and even numbers female, 1 was considered neutral capable of transforming even
2645: 2492:"Gustavi Seleni Cryptomenytices Et Cryptographiae Libri IX.: In quibus & planißima Steganographiae a Johanne Trithemio ... magice & aenigmatice olim conscriptae, Enodatio traditur; Inspersis ubique Authoris ac Aliorum, non contemnendis inventis" 2617: 952:, a set of postulates to define the natural numbers in a precise and logical way, 1 was treated as the starting point of the sequence of natural numbers. Peano later revised his axioms to begin the sequence with 0. In the 997:, is an example of a "base-1" number system, since only one mark – the tally itself – is needed. While this is the simplest way to represent the natural numbers, base-1 is rarely used as a practical base for 1676:
as a substitute for the Arabic numeral 1. In German, the serif at the top may be extended into a long upstroke as long as the vertical line. This variation can lead to confusion with the glyph used for
2477:"Articvli Defensionales Peremptoriales & Elisivi, Bvrgermaister vnd Raths zu Nürmberg, Contra Brandenburg, In causa die Fraiszlich Obrigkait [et]c: Produ. 7. Feb. Anno [et]c. 33" 1188: 3615:. By Radford, Luis; Schubring, Gert; Seeger, Falk. Kaiser, Gabriele (ed.). Semiotic Perspectives in the Teaching and Learning of Math Series. Vol. 1. Netherlands: Sense Publishers. 706:, a determiner for singular nouns, and a gender-neutral pronoun. Historically, the representation of 1 evolved from ancient Sumerian and Babylonian symbols to the modern Arabic numeral. 694:. This fundamental property has led to its unique uses in other fields, ranging from science to sports, where it commonly denotes the first, leading, or top thing in a group. 1 is the 1190:. The tendency for real-world numbers to grow exponentially or logarithmically biases the distribution towards smaller leading digits, with 1 occurring approximately 30% of the time. 819: 890: 3255: 1089: 856: 3508:]. An excerpt of the treatise where Peano first presented his axioms, and recursively defined arithmetical operations. Turin: Fratres Bocca. pp. xvi, 1–20. 1803: 987: 923: 1771: 1751: 1132: 775: 1415:
dating from the first half of the third millennium BCE. The Archaic Sumerian numerals for 1 and 60 both consisted of horizontal semi-circular symbols. By
1681:
in other countries and so to provide a visual distinction between the two the digit 7 may be written with a horizontal stroke through the vertical line.
1028:(i.e., vectors of magnitude one), because these often have more desirable properties. Functions, are often normalized by the condition that they have 709:
In mathematics, 1 is the multiplicative identity, meaning that any number multiplied by 1 equals the same number. 1 is by convention not considered a
1398: 2731: 10195: 2775: 1056: 9895: 2914: 3663: 3454: 3324: 3296: 3269: 3174: 3011: 2936: 2877: 2793: 3102: 2126: 1461:) eras. The Babylonian cuneiform script notation for numbers used the same symbol for 1 and 60 as in the Sumerian system. 1104: 1137: 62: 3701: 3620: 3601: 3098: 2990: 2971: 2825: 2462: 2448: 3555: 3210: 3145: 3118: 3078: 3043: 2764: 1005: 2216: 1492:
during the Middle Ages The Arabic numeral, and other glyphs used to represent the number one (e.g., Roman numeral (
2491: 1867:
In philosophy, the number 1 is commonly regarded as a symbol of unity, often representing God or the universe in
953: 2393: 9926: 3426: 3237: 2896: 2856: 2703: 606: 10185: 9972: 3385: 2719: 1504:. These symbols directly represent the concept of 'one' without breaking it down into phonetic components. 780: 2804: 9967: 9952: 9888: 3526: 3440: 2476: 933:, being evenly divisible only by 1 and itself (also 1), by modern convention it is regarded as neither a 43: 1902:(20 BC – AD 50) regarded the number one as God's number, and the basis for all numbers. 3446: 3316: 3261: 3166: 2920: 1886: 1110:
1 is the most common leading digit in many sets of real-world numerical data. This is a consequence of
10147: 10106: 9985: 3202: 1849: 9991: 1829: 1517: 1229: 1100: 865: 725:. Philosophically, 1 symbolizes the ultimate reality or source of existence in various traditions. 10211: 9934: 9918: 3649: 1052: 961: 742: 393: 58: 52: 2714: 10175: 9995: 9944: 9881: 3694: 2728: 2693: 1040: 318: 10215: 3054: 1065: 10152: 10081: 3372: 3310: 3196: 3160: 3062: 3001: 2867: 1668:
of a "lower-case" Roman numeral. It is also possible to find historic examples of the use of
1558: 1472:
at the top and sometimes a short horizontal line at the bottom. It can be traced back to the
1044: 828: 679: 3653: 944:
Different mathematical constructions of the natural numbers represent 1 in various ways. In
934: 10142: 9977: 3464: 3409: 3381: 3184: 3128: 3092: 3033: 2946: 2836: 2739: 1776: 1726: 1718: 990: 966: 222: 39: 10205: 3541: 3513: 2954: 2747: 1840:
requires the integral of a wavefunction's squared modulus to be equal to 1. In chemistry,
1464:
The most commonly used glyph in the modern Western world to represent the number 1 is the
899: 8: 10236: 10111: 10020: 10015: 10009: 10001: 9962: 1621:
do not have a dedicated key for the numeral 1, requiring the use of the lowercase letter
1256: 1048: 714: 17: 10201: 3498: 10157: 10101: 10005: 9922: 3580: 3397: 3251: 3216: 2637: 1756: 1736: 1655: 1260: 1221: 1117: 1012:(), where 1 represents the maximum possible value. For example, by definition 1 is the 760: 738: 695: 10241: 10071: 3687: 3659: 3616: 3597: 3572: 3485: 3450: 3422: 3359: 3330: 3320: 3292: 3275: 3265: 3247: 3233: 3220: 3206: 3170: 3141: 3114: 3074: 3039: 3007: 2986: 2967: 2932: 2892: 2873: 2852: 2821: 2789: 2760: 2699: 2641: 1873: 1833: 1813: 1714: 1440: 1437: 1111: 1033: 957: 616: 538: 471: 459: 421: 3631: 1890:, affirmed that one is not a number, but the source of number. In the philosophy of 10076: 10061: 3564: 3537: 3509: 3481: 3436: 3389: 3355: 3306: 3156: 3106: 2950: 2924: 2906: 2844: 2781: 2743: 2629: 2313: 1481: 938: 822: 512: 502: 425: 401: 195: 10090: 10066: 9981: 3613:
Semiotics in Mathematics Education: Epistemology, History, Classroom, and Culture
3460: 3405: 3367: 3180: 3124: 2942: 2735: 1730: 1722: 1473: 1465: 1248: 1092: 1060: 687: 620: 594: 558: 488: 447: 437: 405: 397: 205: 154: 141: 1523:
This Woodstock typewriter from the 1940s lacks a separate key for the numeral 1.
1251:
used for counting and expressing the number of items in a collection of things.
10127: 10046: 9930: 3521: 3493: 3343: 3029: 2118: 1845: 1825: 1608: 1562: 1484:
in c. 250 BCE. This script's numeral shapes were transmitted to Europe via the
1353: 1017: 945: 754: 734: 691: 582: 526: 293: 274: 271: 261: 251: 217: 3279: 3110: 2848: 2633: 283: 10230: 10086: 9938: 9904: 9858: 9772: 9767: 9762: 9757: 9752: 9747: 9742: 9737: 9732: 9721: 3576: 3192: 3066: 3021: 2785: 1857: 1286: 1264: 1199: 1009: 926: 636: 624: 570: 409: 383: 305: 234: 229: 3334: 2318: 2301: 1733:
as functions, where the Church numeral for 1 is represented by the function
1004:
In many mathematical and engineering problems, numeric values are typically
279: 10132: 10056: 9956: 9701: 9696: 9691: 9686: 9681: 9676: 9671: 9666: 9661: 9656: 9643: 9638: 9633: 9628: 9623: 9618: 9613: 9608: 9603: 9598: 9585: 9580: 9575: 9570: 9565: 9560: 9555: 9550: 9545: 9540: 9527: 9522: 9517: 9512: 9507: 9502: 9497: 9492: 9487: 9482: 9469: 9464: 9459: 9454: 9449: 9444: 9439: 9434: 9429: 9424: 9411: 9406: 9401: 9396: 9391: 9386: 9381: 9376: 9371: 9366: 9353: 9348: 9343: 9338: 9333: 9328: 9323: 9318: 9313: 9308: 9295: 9290: 9285: 9280: 9275: 9270: 9265: 9260: 9255: 9250: 9237: 9232: 9227: 9222: 9217: 9212: 9207: 9202: 9197: 9192: 9179: 9174: 9169: 9164: 9159: 9154: 9149: 9144: 9139: 9134: 9123: 9104: 9099: 9094: 9089: 9084: 9079: 9074: 9069: 9064: 9059: 9046: 9041: 9036: 9031: 9026: 9021: 9016: 9011: 9006: 9001: 8988: 8983: 8978: 8973: 8968: 8963: 8958: 8953: 8948: 8943: 8930: 8925: 8920: 8915: 8910: 8905: 8900: 8895: 8890: 8885: 8872: 8867: 8862: 8857: 8852: 8847: 8842: 8837: 8832: 8827: 8814: 8809: 8804: 8799: 8794: 8789: 8784: 8779: 8774: 8769: 8756: 8751: 8746: 8741: 8736: 8731: 8726: 8721: 8716: 8711: 8698: 8693: 8688: 8683: 8678: 8673: 8668: 8663: 8658: 8653: 8640: 8635: 8630: 8625: 8620: 8615: 8610: 8605: 8600: 8595: 8582: 8577: 8572: 8567: 8562: 8557: 8552: 8547: 8542: 8537: 8526: 8507: 8502: 8497: 8492: 8487: 8482: 8477: 8472: 8467: 8462: 8449: 8444: 8439: 8434: 8429: 8424: 8419: 8414: 8409: 8404: 8391: 8386: 8381: 8376: 8371: 8366: 8361: 8356: 8351: 8346: 8333: 8328: 8323: 8318: 8313: 8308: 8303: 8298: 8293: 8288: 8275: 8270: 8265: 8260: 8255: 8250: 8245: 8240: 8235: 8230: 8217: 8212: 8207: 8202: 8197: 8192: 8187: 8182: 8177: 8172: 8159: 8154: 8149: 8144: 8139: 8134: 8129: 8124: 8119: 8114: 8101: 8096: 8091: 8086: 8081: 8076: 8071: 8066: 8061: 8056: 8043: 8038: 8033: 8028: 8023: 8018: 8013: 8008: 8003: 7998: 7985: 7980: 7975: 7970: 7965: 7960: 7955: 7950: 7945: 7940: 7929: 7910: 7905: 7900: 7895: 7890: 7885: 7880: 7875: 7870: 7865: 7852: 7847: 7842: 7837: 7832: 7827: 7822: 7817: 7812: 7807: 7794: 7789: 7784: 7779: 7774: 7769: 7764: 7759: 7754: 7749: 7736: 7731: 7726: 7721: 7716: 7711: 7706: 7701: 7696: 7691: 7678: 7673: 7668: 7663: 7658: 7653: 7648: 7643: 7638: 7633: 7620: 7615: 7610: 7605: 7600: 7595: 7590: 7585: 7580: 7575: 7562: 7557: 7552: 7547: 7542: 7537: 7532: 7527: 7522: 7517: 7504: 7499: 7494: 7489: 7484: 7479: 7474: 7469: 7464: 7459: 7446: 7441: 7436: 7431: 7426: 7421: 7416: 7411: 7406: 7401: 7388: 7383: 7378: 7373: 7368: 7363: 7358: 7353: 7348: 7343: 7332: 7313: 7308: 7303: 7298: 7293: 7288: 7283: 7278: 7273: 7268: 7255: 7250: 7245: 7240: 7235: 7230: 7225: 7220: 7215: 7210: 7197: 7192: 7187: 7182: 7177: 7172: 7167: 7162: 7157: 7152: 7139: 7134: 7129: 7124: 7119: 7114: 7109: 7104: 7099: 7094: 7081: 7076: 7071: 7066: 7061: 7056: 7051: 7046: 7041: 7036: 7023: 7018: 7013: 7008: 7003: 6998: 6993: 6988: 6983: 6978: 6965: 6960: 6955: 6950: 6945: 6940: 6935: 6930: 6925: 6920: 6907: 6902: 6897: 6892: 6887: 6882: 6877: 6872: 6867: 6862: 6849: 6844: 6839: 6834: 6829: 6824: 6819: 6814: 6809: 6804: 6791: 6786: 6781: 6776: 6771: 6766: 6761: 6756: 6751: 6746: 6735: 6716: 6711: 6706: 6701: 6696: 6691: 6686: 6681: 6676: 6671: 6658: 6653: 6648: 6643: 6638: 6633: 6628: 6623: 6618: 6613: 6600: 6595: 6590: 6585: 6580: 6575: 6570: 6565: 6560: 6555: 6542: 6537: 6532: 6527: 6522: 6517: 6512: 6507: 6502: 6497: 6484: 6479: 6474: 6469: 6464: 6459: 6454: 6449: 6444: 6439: 6426: 6421: 6416: 6411: 6406: 6401: 6396: 6391: 6386: 6381: 6368: 6363: 6358: 6353: 6348: 6343: 6338: 6333: 6328: 6323: 6310: 6305: 6300: 6295: 6290: 6285: 6280: 6275: 6270: 6265: 6252: 6247: 6242: 6237: 6232: 6227: 6222: 6217: 6212: 6207: 6194: 6189: 6184: 6179: 6174: 6169: 6164: 6159: 6154: 6149: 6138: 6119: 6114: 6109: 6104: 6099: 6094: 6089: 6084: 6079: 6074: 6061: 6056: 6051: 6046: 6041: 6036: 6031: 6026: 6021: 6016: 6003: 5998: 5993: 5988: 5983: 5978: 5973: 5968: 5963: 5958: 5945: 5940: 5935: 5930: 5925: 5920: 5915: 5910: 5905: 5900: 5887: 5882: 5877: 5872: 5867: 5862: 5857: 5852: 5847: 5842: 5829: 5824: 5819: 5814: 5809: 5804: 5799: 5794: 5789: 5784: 5771: 5766: 5761: 5756: 5751: 5746: 5741: 5736: 5731: 5726: 5713: 5708: 5703: 5698: 5693: 5688: 5683: 5678: 5673: 5668: 5655: 5650: 5645: 5640: 5635: 5630: 5625: 5620: 5615: 5610: 5597: 5592: 5587: 5582: 5577: 5572: 5567: 5562: 5557: 5552: 5541: 5522: 5517: 5512: 5507: 5502: 5497: 5492: 5487: 5482: 5477: 5464: 5459: 5454: 5449: 5444: 5439: 5434: 5429: 5424: 5419: 5406: 5401: 5396: 5391: 5386: 5381: 5376: 5371: 5366: 5361: 5348: 5343: 5338: 5333: 5328: 5323: 5318: 5313: 5308: 5303: 5290: 5285: 5280: 5275: 5270: 5265: 5260: 5255: 5250: 5245: 5232: 5227: 5222: 5217: 5212: 5207: 5202: 5197: 5192: 5187: 5174: 5169: 5164: 5159: 5154: 5149: 5144: 5139: 5134: 5129: 5116: 5111: 5106: 5101: 5096: 5091: 5086: 5081: 5076: 5071: 5058: 5053: 5048: 5043: 5038: 5033: 5028: 5023: 5018: 5013: 5000: 4995: 4990: 4985: 4980: 4975: 4970: 4965: 4960: 4955: 4944: 4925: 4920: 4915: 4910: 4905: 4900: 4895: 4890: 4885: 4880: 4867: 4862: 4857: 4852: 4847: 4842: 4837: 4832: 4827: 4822: 4809: 4804: 4799: 4794: 4789: 4784: 4779: 4774: 4769: 4764: 4751: 4746: 4741: 4736: 4731: 4726: 4721: 4716: 4711: 4706: 4693: 4688: 4683: 4678: 4673: 4668: 4663: 4658: 4653: 4648: 4635: 4630: 4625: 4620: 4615: 4610: 4605: 4600: 4595: 4590: 4577: 4572: 4567: 4562: 4557: 4552: 4547: 4542: 4537: 4532: 4519: 4514: 4509: 4504: 4499: 4494: 4489: 4484: 4479: 4474: 4461: 4456: 4451: 4446: 4441: 4436: 4431: 4426: 4421: 4416: 4403: 4398: 4393: 4388: 4383: 4378: 4373: 4368: 4363: 3025: 1895: 1861: 1837: 1821: 1817: 1592: 1566: 1535: 1096: 1021: 949: 930: 741:, that is, by adding 1 to the previous natural number. The number 1 is the 710: 480: 187: 2615: 2465:
by Jan ten Hoorn. November 23, 1679. p. 341 – via Google Books.
298: 9853: 4328: 4323: 4318: 4313: 4308: 4303: 4298: 4293: 4288: 4283: 4270: 4265: 4260: 4255: 4250: 4245: 4240: 4235: 4230: 4225: 4212: 4207: 4202: 4197: 4192: 4187: 4182: 4177: 4172: 4167: 4154: 4149: 4144: 4139: 4134: 4129: 4124: 4119: 4114: 4109: 4096: 4091: 4086: 4081: 4076: 4071: 4066: 4061: 4056: 4051: 4038: 4033: 4028: 4023: 4018: 4013: 4008: 4003: 3998: 3993: 3980: 3975: 3970: 3965: 3960: 3955: 3950: 3945: 3940: 3935: 3922: 3917: 3912: 3907: 3902: 3897: 3892: 3887: 3882: 3877: 3864: 3859: 3854: 3849: 3844: 3839: 3834: 3829: 3824: 3088: 2910: 2208: 1713:
where "1" represents the value for "on". As such, the numerical value of
1690: 1539: 1447:
systems. Surviving Babylonian documents date mostly from Old Babylonian (
1412: 1408: 1213: 1025: 1013: 859: 750: 718: 703: 370: 184: 181: 178: 175: 172: 169: 166: 163: 133: 3421:. Dover Books on Physics (reprint ed.). Courier Corporation, 2012. 2928: 2807:
Nature's Harmonic Unity: A Treatise on Its Relation to Proportional Form
1581:
and designed to follow the rhythm of the lowercase, as, for example, in
10137: 10096: 9948: 9848: 3584: 3550: 3401: 2869:
Layout Workbook: A Real-World Guide to Building Pages in Graphic Design
2152: 1877: 1868: 1710: 1706: 1698: 1618: 1596: 1553:, the shape of the character for the digit 1 is typically typeset as a 1489: 1369: 994: 646: 357: 88: 80: 2891:(illustrated, reprint ed.). Oxford, UK: Oxford University Press. 892:), and any other power of 1 is always equal to 1 itself. 1 is its own 9843: 3070: 2618:"From Abacus to Algorism: Theory and Practice in Medieval Arithmetic" 1899: 1603:, featuring parallel serifs at the top and bottom, while the capital 1423: 893: 722: 548: 3594:
The Typewriter Revolution: A Typist's Companion for the 21st Century
3568: 3393: 2494:. Johann & Heinrich Stern. p. 285 – via Google Books. 1820:
systems in order to simplify the form of equations; for example, in
2176: 2039: 1916: 1891: 1881: 1853: 1841: 1702: 1697:-2 numeral system with numbers represented by a sequence of 1s and 1578: 1550: 1529: 1501: 1381: 1377: 1373: 1361: 1357: 1029: 998: 699: 1940: 1898:), 'The One' is the ultimate reality and source of all existence. 9838: 3710: 3536:] (V ed.). Turin: Fratres Bocca. pp. xxxvi, 1–463. 2546: 2479:. Heußler. November 23, 1586. p. 3 – via Google Books. 2075: 1860:
of 1. Group 1 of the periodic table consists of hydrogen and the
1809: 1485: 1444: 1433: 1365: 1114:, which states that the probability for a specific leading digit 746: 241: 146: 9873: 10036: 9825: 9820: 9815: 9810: 9805: 9800: 9795: 9790: 9785: 2164: 1911: 1637: 1477: 1428: 1290: 675: 331: 100: 2369: 1583: 3291:. Cambridge, UK ; New York: Cambridge University Press. 2660: 1705:, as pulses of electricity through switching devices such as 1701:. Digitised data is represented in physical devices, such as 1694: 1632: 1469: 1404: 1403:
Among the earliest known records of a numeral system, is the
960:
that contains all numbers before it, 1 is represented as the
683: 518: 493: 344: 290: 2983:
Human Factors Engineering and Ergonomics: A Systems Approach
2498: 2490:
August (Herzog), Braunschweig-Lüneburg (November 23, 1624).
1928: 1432:. The Sumerian cuneiform system is a direct ancestor to the 3679: 2919:. Annals of Mathematics Studies. Vol. 199. Princeton: 2616:
British Society for the History of Science (July 1, 1977).
2534: 1952: 1426:
symbols, with 1 and 60 both represented by the same symbol
1422:, the older Sumerian curviform numerals were replaced with 35: 2964:
The Foundation of Reality: Fundamentality, Space, and Time
2281: 2269: 2257: 2247: 2245: 1542:
and represents the numeral 1 as similar to a small-caps I.
4358: 4347: 2051: 3246: 2558: 2428: 2326: 2188: 2158: 2140: 2063: 1969: 1967: 1561:, such that the digit is the same height and width as a 3819: 3735: 3611:
Schubring, Gert (2008). "Processes of Algebraization".
3506:
The principles of arithmetic, presented by a new method
2872:. Gloucester, MA: Rockport Publishers. pp. 1–240. 2242: 2209:"Numerical Adjectives, Greek and Latin Number Prefixes" 1099:, is 1 for all simply connected groups (those that are 733:
The number 1 is the first natural number after 0. Each
160: 3057:. In Remes, Pauliina; Slaveva-Griffin, Svetla (eds.). 2889:
Nature's Building Blocks: An A-Z Guide to the Elements
2599: 2597: 2338: 2230: 1140: 956:
of natural numbers, where each number is defined as a
10041: 3805: 3798: 3791: 3784: 3777: 3770: 3763: 3756: 3742: 3723: 2962:
Glick, David; Darby, George; Marmodoro, Anna (2020).
2570: 2522: 2510: 2416: 2099: 1964: 1779: 1759: 1739: 1678: 1660: 1650: 1613: 1607:
retains a full-height form. This is a relic from the
1120: 1068: 969: 925:), and 0! is also 1. These are a special case of the 902: 868: 831: 783: 763: 157: 130: 127: 124: 121: 118: 115: 112: 109: 103: 3020: 2350: 2087: 2045: 1946: 1832:
are also known as 'quantities of dimension one'. In
1183:{\textstyle \log _{10}\left({\frac {d+1}{d}}\right)} 3287:Huddleston, Rodney D.; Pullum, Geoffrey K. (2002). 2961: 2594: 2552: 2404: 2015: 2003: 3525: 3497: 3230:Handwriting Identification: Facts and Fundamentals 2582: 2386: 1991: 1797: 1765: 1745: 1182: 1126: 1083: 981: 917: 884: 850: 813: 769: 2302:"Evidences of Hierarchy of Brahmi Numeral System" 1979: 10228: 3286: 3162:Lambda-Calculus and Combinators: An Introduction 2916:Weil's Conjecture for Function Fields (Volume I) 2182: 2170: 1271:. The determiner has two senses: numerical one ( 2489: 2027: 1872:numbers to odd and vice versa by addition. The 34:This article is about the number. For the year 2905: 2803:Colman, Samuel (1912). Coan, C. Arthur (ed.). 2759:(14th ed.). University of Chicago Press. 2622:The British Journal for the History of Science 2081: 1689:In digital technology, data is represented by 1352:, conveying a sense of solitude. Other common 1091:, a geometrical measure of a connected linear 9889: 3695: 3500:Arithmetices principia, nova methodo exposita 3289:The Cambridge grammar of the English language 3227: 3155: 3138:Programming Structures: Machines and programs 2820:(6th ed.). Malden, MA: Wiley-Blackwell. 2712: 2540: 2504: 1958: 1387: 929:. Although 1 meets the naïve definition of a 2732:David R. Cheriton School of Computer Science 976: 970: 3419:Quantum Mechanics: Principles and Formalism 3257:A student's Introduction to English Grammar 3038:(2 ed.). Reading, MA: Addison-Wesley. 2773: 2691: 2628:(2). Cambridge University Press: Abstract. 2287: 2275: 2263: 2057: 1476:script of ancient India, as represented by 989:, a set containing only the element 0. The 10191: 10181: 9896: 9882: 3702: 3688: 3140:. Vol. 1. Prentice Hall. p. 33. 3052: 2811:. New York and London: G.P. Putnam's Sons. 2666: 2111: 1595:), the typeface for numeral 1 resembles a 1399:History of the Hindu–Arabic numeral system 3610: 2980: 2835:Conway, John H.; Guy, Richard K. (1996). 2834: 2818:A Dictionary of Linguistics and Phonetics 2777:Numerical Notation: A Comparative History 2698:. Springer Science & Business Media. 2434: 2332: 2317: 2251: 2236: 2194: 3648: 3472:Mills, I. M. (1995). "Unity as a Unit". 3366: 2780:. New York: Cambridge University Press. 2713:Caldwell, Chris K.; Xiong, Yeng (2012). 2516: 2093: 1631: 3629: 3416: 3341: 3305: 3228:Huber, Roy A.; Headrick, A. M. (1999). 2999: 2815: 2754: 2603: 2576: 2528: 2447:Köhler, Christian (November 23, 1693). 2422: 2344: 2306:Journal of the Institute of Engineering 2299: 2206: 2146: 1973: 1658:variant of a lower-case Roman numeral " 1372:), derived from Latin, or mono- (e.g., 63:question marks, boxes, or other symbols 14: 10229: 3442:Benford's law: theory and applications 3435: 3198:One to Nine: The Inner Life of Numbers 3191: 3087: 3059:The Routledge Handbook of Neoplatonism 2886: 2865: 2802: 2588: 2451:. p. 70 – via Google Books. 2446: 2356: 2159:Huddleston, Pullum & Reynolds 2022 2105: 2021: 2009: 1934: 9877: 9718: 9121: 8524: 7927: 7330: 6733: 6136: 5539: 4942: 4345: 3721: 3683: 3548: 3520: 3492: 3471: 3061:. Routledge Handbooks in Philosophy. 2843:. New York: Copernicus Publications. 2564: 2069: 1997: 1985: 1729:, natural numbers are represented by 1665: 1659: 1649: 1612: 1604: 1600: 1493: 1356:for the number 1 include uni- (e.g., 1300:Words that derive their meaning from 1057:Weil's conjecture on Tamagawa numbers 814:{\displaystyle 1\times n=n\times 1=n} 3591: 3551:"On Legendre's Prime Number Formula" 3135: 2410: 2394:"Why Old Typewriters Lack A "1" Key" 2033: 1880:'s number treatise, as recovered by 1538:, a typeface designed in 1991, uses 1036:one, depending on the application. 2727:(9, Article 12.9.7). Waterloo, CA: 1507: 1001:due to its difficult readability. 777:multiplied by 1 remains unchanged ( 24: 3099:Undergraduate Texts in Mathematics 2449:"Der allzeitfertige Rechenmeister" 2046:Graham, Knuth & Patashnik 1994 1947:Graham, Knuth & Patashnik 1994 1836:, the normalization condition for 1684: 1312:in the sense of being by oneself, 1016:of an event that is absolutely or 25: 10253: 9903: 3556:The American Mathematical Monthly 2648:from the original on May 16, 2021 2553:Glick, Darby & Marmodoro 2020 1480:as a simple vertical line in his 737:, including 1, is constructed by 728: 717:, 1 represents the "on" state in 10210: 10200: 10190: 10180: 10171: 10170: 1664:", often employed for the final 1582: 1528: 1516: 1468:, a vertical line, often with a 1427: 1289:used to refer to an unspecified 3165:(2nd ed.). Cambridge, UK: 2755:Chicago, University of (1993). 2672: 2609: 2483: 2469: 2455: 2440: 2362: 2293: 2219:from the original on 2022-01-29 2200: 2129:from the original on 2013-12-30 1295:one should take care of oneself 1238: 954:Von Neumann cardinal assignment 948:'s original formulation of the 9949:analytic theory of L-functions 9927:non-abelian class field theory 3159:; Seldin, Jonathan P. (2008). 3006:. Tata McGraw-Hill Education. 2981:Guastello, Stephen J. (2023). 1293:or to people in general as in 1078: 1072: 686:. 1 is the first and smallest 13: 1: 2774:Chrisomalis, Stephen (2010). 2715:"What is the smallest prime?" 2678:"De Allegoriis Legum", ii.12 2119:"Online Etymology Dictionary" 1922: 1565:. However, in typefaces with 1455: 1448: 1416: 885:{\displaystyle {\sqrt {1}}=1} 9973:Transcendental number theory 3709: 3386:Institute for Advanced Study 3370:(1988). "Tamagawa numbers". 3360:10.1016/0315-0860(74)90031-7 3055:"The Metaphysics of the One" 2720:Journal of Integer Sequences 2398:Post Haste Telegraph Company 2183:Huddleston & Pullum 2002 2171:Huddleston & Pullum 2002 1336:with the someone. Combining 1204: 1193: 690:of the infinite sequence of 7: 10196:List of recreational topics 9968:Computational number theory 9953:probabilistic number theory 3344:"Peano's concept of number" 3342:Kennedy, Hubert C. (1974). 3260:(2nd ed.). Cambridge: 3000:Godbole, Achyut S. (2002). 2985:(3rd ed.). CRC press. 2966:. Oxford University Press. 2757:The Chicago Manual of Style 2692:Blokhintsev, D. I. (2012). 2300:Acharya, Eka Ratna (2018). 1905: 1844:, the first element of the 1636:The 24-hour tower clock in 1577:), the glyph usually is of 1032:one, maximum value one, or 44:Number One (disambiguation) 10: 10258: 3486:10.1088/0026-1394/31/6/013 3447:Princeton University Press 3317:Cambridge University Press 3312:Grammar: A Student's Guide 3262:Cambridge University Press 3254:; Reynolds, Brett (2022). 3203:W. W. Norton & Company 3167:Cambridge University Press 2921:Princeton University Press 2684: 2082:Gaitsgory & Lurie 2019 1887:Introduction to Arithmetic 1396: 1392: 1388:Symbols and representation 1197: 1024:are often normalized into 33: 10166: 10148:Diophantine approximation 10120: 10107:Chinese remainder theorem 10029: 9911: 9834: 9781: 9728: 9719: 9714: 9652: 9594: 9536: 9478: 9420: 9362: 9304: 9246: 9188: 9130: 9117: 9055: 8997: 8939: 8881: 8823: 8765: 8707: 8649: 8591: 8533: 8520: 8458: 8400: 8342: 8284: 8226: 8168: 8110: 8052: 7994: 7936: 7923: 7861: 7803: 7745: 7687: 7629: 7571: 7513: 7455: 7397: 7339: 7326: 7264: 7206: 7148: 7090: 7032: 6974: 6916: 6858: 6800: 6742: 6729: 6667: 6609: 6551: 6493: 6435: 6377: 6319: 6261: 6203: 6145: 6132: 6070: 6012: 5954: 5896: 5838: 5780: 5722: 5664: 5606: 5548: 5535: 5473: 5415: 5357: 5299: 5241: 5183: 5125: 5067: 5009: 4951: 4938: 4876: 4818: 4760: 4702: 4644: 4586: 4528: 4470: 4412: 4354: 4341: 4279: 4221: 4163: 4105: 4047: 3989: 3931: 3873: 3815: 3730: 3717: 3111:10.1007/978-1-4757-1645-0 3053:Halfwassen, Jens (2014). 3003:Data Comms & Networks 2849:10.1007/978-1-4612-4072-3 2634:10.1017/S0007087400015375 2541:Hindley & Seldin 2008 2505:Huber & Headrick 1999 2370:"Fonts by Hoefler&Co" 1959:Caldwell & Xiong 2012 1937:, pp. 9–10, chapt.2. 1884:in the Latin translation 1617:represents 1. Many older 1497: 1285:is also a gender-neutral 1235:(meaning "one, unique"). 645: 635: 615: 605: 593: 581: 569: 557: 547: 537: 525: 511: 501: 487: 470: 458: 446: 436: 420: 392: 382: 369: 356: 343: 330: 317: 304: 289: 270: 260: 250: 240: 228: 216: 204: 194: 98: 75: 9992:Arithmetic combinatorics 9122: 8525: 7928: 7331: 6734: 6137: 5540: 4943: 4346: 3596:. The Countryman Press. 3449:. pp. xxvi, 1–438. 2923:. pp. viii, 1–311. 2866:Cullen, Kristin (2007). 2786:10.1017/CBO9780511676062 1830:Dimensionless quantities 1230:Proto-Indo-European root 1084:{\displaystyle \tau (G)} 1043:, introduced in 1808 by 9963:Geometric number theory 9919:Algebraic number theory 3105:. pp. vii, 1–104. 2319:10.3126/jie.v14i1.20077 1753:applied to an argument 1275:) and singulative one ( 1053:prime-counting function 851:{\displaystyle 1^{2}=1} 743:multiplicative identity 10082:Transcendental numbers 9996:additive number theory 9945:Analytic number theory 3722: 3592:Polt, Richard (2015). 3534:Mathematical Formulary 3528:Formulario Mathematico 3169:. pp. xi, 1–358. 2729:University of Waterloo 2207:Chrisomalis, Stephen. 1799: 1767: 1747: 1717:is equal to 1 in many 1654:" can be considered a 1645: 1384:) derived from Greek. 1184: 1128: 1085: 983: 919: 886: 852: 815: 771: 757:, that is, any number 51:This article contains 38:, and other uses, see 10153:Irrationality measure 10143:Diophantine equations 9986:Hodge–Arakelov theory 3630:Stewart, Ian (2024). 3549:Pintz, Janos (1980). 3417:McWeeny, Roy (1972). 3373:Annals of Mathematics 3248:Huddleston, Rodney D. 3063:Abingdon, Oxfordshire 2887:Emsley, John (2001). 2252:Conway & Guy 1996 2237:Conway & Guy 1996 2195:Conway & Guy 1996 1800: 1798:{\displaystyle fx=fx} 1768: 1748: 1719:programming languages 1635: 1185: 1129: 1086: 1045:Adrien-Marie Legendre 984: 982:{\displaystyle \{0\}} 920: 887: 853: 816: 772: 10112:Arithmetic functions 9978:Diophantine geometry 3382:Princeton University 3380:(3). Princeton, NJ: 3348:Historia Mathematica 3035:Concrete Mathematics 2816:Crystal, D. (2008). 1878:Nicomachus of Gerasa 1777: 1757: 1737: 1727:computability theory 1496:), Chinese numeral ( 1454:) and the Seleucid ( 1212:originates from the 1138: 1118: 1066: 1020:to occur. Likewise, 991:unary numeral system 967: 918:{\displaystyle 1!=1} 900: 866: 829: 821:). As a result, the 781: 761: 721:, the foundation of 625:Chinese counting rod 40:One (disambiguation) 10158:Continued fractions 10021:Arithmetic dynamics 10016:Arithmetic topology 10010:P-adic Hodge theory 10002:Arithmetic geometry 9935:Iwasawa–Tate theory 3368:Kottwitz, Robert E. 3252:Pullum, Geoffrey K. 2929:10.2307/j.ctv4v32qc 2839:The Book of Numbers 2669:, pp. 182–183. 2567:, pp. 538–539. 2084:, pp. 204–307. 2072:, pp. 733–735. 1900:Philo of Alexandria 1894:(and that of other 1255:is most commonly a 1220:, derived from the 1049:asymptotic behavior 1041:Legendre's constant 1008:to fall within the 617:Egyptian hieroglyph 10102:Modular arithmetic 10072:Irrational numbers 10006:anabelian geometry 9923:class field theory 3658:. Evans Brothers. 3655:Digital Technology 3632:"Number Symbolism" 3319:. pp. 1–288. 3264:. pp. 1–418. 3205:. pp. 1–330. 3136:Hext, Jan (1990). 2374:www.typography.com 2185:, p. 426-427. 2125:. Douglas Harper. 1814:physical constants 1795: 1763: 1743: 1646: 1575:non-lining figures 1571:Old style numerals 1332:meaning to become 1308:, which signifies 1277:one day I'll do it 1180: 1124: 1081: 1039:1 is the value of 979: 915: 882: 848: 811: 767: 715:digital technology 607:Babylonian numeral 53:special characters 10224: 10223: 10121:Advanced concepts 10077:Algebraic numbers 10062:Composite numbers 9871: 9870: 9867: 9866: 9710: 9709: 9113: 9112: 8516: 8515: 7919: 7918: 7322: 7321: 6725: 6724: 6128: 6127: 5531: 5530: 4934: 4933: 4337: 4336: 3665:978-0-237-52725-9 3456:978-0-691-14761-1 3445:. Princeton, NJ: 3437:Miller, Steven J. 3326:978-0-521-45627-2 3315:. Cambridge, UK: 3307:Hurford, James R. 3298:978-0-521-43146-0 3271:978-1-316-51464-1 3176:978-1-139-473-248 3157:Hindley, J. Roger 3022:Graham, Ronald L. 3013:978-1-259-08223-8 2938:978-0-691-18213-1 2907:Gaitsgory, Dennis 2879:978-1-592-533-527 2795:978-0-521-87818-0 2695:Quantum Mechanics 2149:, pp. 23–24. 1834:quantum mechanics 1766:{\displaystyle x} 1746:{\displaystyle f} 1644:as a symbol for 1 1629:as substitutes. 1591:typefaces (e.g., 1438:Assyro-Babylonian 1269:one day at a time 1174: 1127:{\displaystyle d} 874: 770:{\displaystyle n} 657: 656: 94: 93: 59:rendering support 16:(Redirected from 10249: 10214: 10204: 10194: 10193: 10184: 10183: 10174: 10173: 10067:Rational numbers 9898: 9891: 9884: 9875: 9874: 9716: 9715: 9119: 9118: 8522: 8521: 7925: 7924: 7328: 7327: 6731: 6730: 6134: 6133: 5537: 5536: 4940: 4939: 4343: 4342: 3719: 3718: 3704: 3697: 3690: 3681: 3680: 3675: 3673: 3672: 3645: 3643: 3642: 3626: 3607: 3588: 3545: 3531: 3517: 3503: 3489: 3468: 3432: 3413: 3363: 3338: 3302: 3283: 3243: 3224: 3201:. New York, NY: 3188: 3151: 3132: 3094:Naive Set Theory 3084: 3049: 3026:Knuth, Donald E. 3017: 2996: 2977: 2958: 2902: 2883: 2862: 2831: 2812: 2799: 2770: 2751: 2709: 2679: 2676: 2670: 2664: 2658: 2657: 2655: 2653: 2613: 2607: 2601: 2592: 2586: 2580: 2574: 2568: 2562: 2556: 2550: 2544: 2538: 2532: 2526: 2520: 2514: 2508: 2502: 2496: 2495: 2487: 2481: 2480: 2473: 2467: 2466: 2459: 2453: 2452: 2444: 2438: 2432: 2426: 2420: 2414: 2408: 2402: 2401: 2400:. April 2, 2017. 2390: 2384: 2383: 2381: 2380: 2366: 2360: 2354: 2348: 2342: 2336: 2330: 2324: 2323: 2321: 2297: 2291: 2288:Chrisomalis 2010 2285: 2279: 2276:Chrisomalis 2010 2273: 2267: 2264:Chrisomalis 2010 2261: 2255: 2249: 2240: 2234: 2228: 2227: 2225: 2224: 2213:The Phrontistery 2204: 2198: 2192: 2186: 2180: 2174: 2168: 2162: 2156: 2150: 2144: 2138: 2137: 2135: 2134: 2115: 2109: 2103: 2097: 2091: 2085: 2079: 2073: 2067: 2061: 2058:Blokhintsev 2012 2055: 2049: 2043: 2037: 2031: 2025: 2019: 2013: 2007: 2001: 1995: 1989: 1983: 1977: 1971: 1962: 1956: 1950: 1944: 1938: 1932: 1850:abundant element 1816:are set to 1 in 1804: 1802: 1801: 1796: 1772: 1770: 1769: 1764: 1752: 1750: 1749: 1744: 1667: 1663: 1653: 1648:The lower case " 1616: 1606: 1602: 1586: 1532: 1520: 1508:Modern typefaces 1499: 1495: 1482:Edicts of Ashoka 1460: 1457: 1453: 1450: 1431: 1421: 1418: 1354:numeral prefixes 1273:I have one apple 1243:Linguistically, 1189: 1187: 1186: 1181: 1179: 1175: 1170: 1159: 1150: 1149: 1133: 1131: 1130: 1125: 1090: 1088: 1087: 1082: 1059:states that the 988: 986: 985: 980: 939:composite number 924: 922: 921: 916: 891: 889: 888: 883: 875: 870: 857: 855: 854: 849: 841: 840: 820: 818: 817: 812: 776: 774: 773: 768: 688:positive integer 653: 631: 601: 589: 577: 565: 533: 521: 503:Japanese numeral 496: 478: 466: 454: 432: 416: 77: 76: 73: 72: 21: 10257: 10256: 10252: 10251: 10250: 10248: 10247: 10246: 10227: 10226: 10225: 10220: 10162: 10128:Quadratic forms 10116: 10091:P-adic analysis 10047:Natural numbers 10025: 9982:Arakelov theory 9907: 9902: 9872: 9863: 9830: 9777: 9724: 9706: 9648: 9590: 9532: 9474: 9416: 9358: 9300: 9242: 9184: 9126: 9109: 9051: 8993: 8935: 8877: 8819: 8761: 8703: 8645: 8587: 8529: 8512: 8454: 8396: 8338: 8280: 8222: 8164: 8106: 8048: 7990: 7932: 7915: 7857: 7799: 7741: 7683: 7625: 7567: 7509: 7451: 7393: 7335: 7318: 7260: 7202: 7144: 7086: 7028: 6970: 6912: 6854: 6796: 6738: 6721: 6663: 6605: 6547: 6489: 6431: 6373: 6315: 6257: 6199: 6141: 6124: 6066: 6008: 5950: 5892: 5834: 5776: 5718: 5660: 5602: 5544: 5527: 5469: 5411: 5353: 5295: 5237: 5179: 5121: 5063: 5005: 4947: 4930: 4872: 4814: 4756: 4698: 4640: 4582: 4524: 4466: 4408: 4350: 4333: 4275: 4217: 4159: 4101: 4043: 3985: 3927: 3869: 3811: 3726: 3713: 3708: 3678: 3670: 3668: 3666: 3650:Woodford, Chris 3640: 3638: 3623: 3604: 3569:10.2307/2321863 3522:Peano, Giuseppe 3494:Peano, Giuseppe 3457: 3429: 3394:10.2307/2007007 3327: 3299: 3272: 3240: 3213: 3177: 3148: 3121: 3089:Halmos, Paul R. 3081: 3046: 3030:Patashnik, Oren 3014: 2993: 2974: 2939: 2899: 2880: 2859: 2828: 2796: 2767: 2706: 2687: 2682: 2677: 2673: 2667:Halfwassen 2014 2665: 2661: 2651: 2649: 2614: 2610: 2602: 2595: 2587: 2583: 2575: 2571: 2563: 2559: 2551: 2547: 2539: 2535: 2527: 2523: 2515: 2511: 2507:, pp. 181. 2503: 2499: 2488: 2484: 2475: 2474: 2470: 2461: 2460: 2456: 2445: 2441: 2437:, pp. 453. 2433: 2429: 2421: 2417: 2413:, pp. 203. 2409: 2405: 2392: 2391: 2387: 2378: 2376: 2368: 2367: 2363: 2355: 2351: 2347:, pp. 289. 2343: 2339: 2335:, pp. 147. 2331: 2327: 2298: 2294: 2286: 2282: 2274: 2270: 2262: 2258: 2250: 2243: 2235: 2231: 2222: 2220: 2205: 2201: 2197:, pp. 3–4. 2193: 2189: 2181: 2177: 2173:, pp. 386. 2169: 2165: 2157: 2153: 2145: 2141: 2132: 2130: 2117: 2116: 2112: 2108:, pp. 3–4. 2104: 2100: 2092: 2088: 2080: 2076: 2068: 2064: 2056: 2052: 2044: 2040: 2032: 2028: 2020: 2016: 2008: 2004: 1996: 1992: 1984: 1980: 1976:, pp. 389. 1972: 1965: 1961:, pp. 8–9. 1957: 1953: 1945: 1941: 1933: 1929: 1925: 1908: 1778: 1775: 1774: 1758: 1755: 1754: 1738: 1735: 1734: 1731:Church encoding 1723:lambda calculus 1687: 1685:In other fields 1569:(also known as 1547: 1546: 1545: 1544: 1543: 1533: 1525: 1524: 1521: 1510: 1458: 1452: 1500 BCE 1451: 1420: 2350 BCE 1419: 1401: 1395: 1390: 1368:), sol- (e.g., 1249:cardinal number 1241: 1207: 1202: 1196: 1160: 1158: 1154: 1145: 1141: 1139: 1136: 1135: 1119: 1116: 1115: 1093:algebraic group 1067: 1064: 1063: 1061:Tamagawa number 1047:to express the 1034:square integral 968: 965: 964: 901: 898: 897: 869: 867: 864: 863: 836: 832: 830: 827: 826: 782: 779: 778: 762: 759: 758: 755:complex numbers 731: 692:natural numbers 651: 629: 599: 587: 575: 563: 531: 517: 494: 476: 464: 452: 438:Chinese numeral 430: 414: 378: 365: 352: 339: 326: 313: 211: 190: 152: 151: 142:List of numbers 136: 71: 68: 67: 66: 57:Without proper 46: 30: 23: 22: 15: 12: 11: 5: 10255: 10245: 10244: 10239: 10222: 10221: 10219: 10218: 10208: 10198: 10188: 10186:List of topics 10178: 10167: 10164: 10163: 10161: 10160: 10155: 10150: 10145: 10140: 10135: 10130: 10124: 10122: 10118: 10117: 10115: 10114: 10109: 10104: 10099: 10094: 10087:P-adic numbers 10084: 10079: 10074: 10069: 10064: 10059: 10054: 10049: 10044: 10039: 10033: 10031: 10027: 10026: 10024: 10023: 10018: 10013: 9999: 9989: 9975: 9970: 9965: 9960: 9942: 9931:Iwasawa theory 9915: 9913: 9909: 9908: 9901: 9900: 9893: 9886: 9878: 9869: 9868: 9865: 9864: 9862: 9861: 9856: 9851: 9846: 9841: 9835: 9832: 9831: 9829: 9828: 9823: 9818: 9813: 9808: 9803: 9798: 9793: 9788: 9782: 9779: 9778: 9776: 9775: 9770: 9765: 9760: 9755: 9750: 9745: 9740: 9735: 9729: 9726: 9725: 9712: 9711: 9708: 9707: 9705: 9704: 9699: 9694: 9689: 9684: 9679: 9674: 9669: 9664: 9659: 9653: 9650: 9649: 9647: 9646: 9641: 9636: 9631: 9626: 9621: 9616: 9611: 9606: 9601: 9595: 9592: 9591: 9589: 9588: 9583: 9578: 9573: 9568: 9563: 9558: 9553: 9548: 9543: 9537: 9534: 9533: 9531: 9530: 9525: 9520: 9515: 9510: 9505: 9500: 9495: 9490: 9485: 9479: 9476: 9475: 9473: 9472: 9467: 9462: 9457: 9452: 9447: 9442: 9437: 9432: 9427: 9421: 9418: 9417: 9415: 9414: 9409: 9404: 9399: 9394: 9389: 9384: 9379: 9374: 9369: 9363: 9360: 9359: 9357: 9356: 9351: 9346: 9341: 9336: 9331: 9326: 9321: 9316: 9311: 9305: 9302: 9301: 9299: 9298: 9293: 9288: 9283: 9278: 9273: 9268: 9263: 9258: 9253: 9247: 9244: 9243: 9241: 9240: 9235: 9230: 9225: 9220: 9215: 9210: 9205: 9200: 9195: 9189: 9186: 9185: 9183: 9182: 9177: 9172: 9167: 9162: 9157: 9152: 9147: 9142: 9137: 9131: 9128: 9127: 9115: 9114: 9111: 9110: 9108: 9107: 9102: 9097: 9092: 9087: 9082: 9077: 9072: 9067: 9062: 9056: 9053: 9052: 9050: 9049: 9044: 9039: 9034: 9029: 9024: 9019: 9014: 9009: 9004: 8998: 8995: 8994: 8992: 8991: 8986: 8981: 8976: 8971: 8966: 8961: 8956: 8951: 8946: 8940: 8937: 8936: 8934: 8933: 8928: 8923: 8918: 8913: 8908: 8903: 8898: 8893: 8888: 8882: 8879: 8878: 8876: 8875: 8870: 8865: 8860: 8855: 8850: 8845: 8840: 8835: 8830: 8824: 8821: 8820: 8818: 8817: 8812: 8807: 8802: 8797: 8792: 8787: 8782: 8777: 8772: 8766: 8763: 8762: 8760: 8759: 8754: 8749: 8744: 8739: 8734: 8729: 8724: 8719: 8714: 8708: 8705: 8704: 8702: 8701: 8696: 8691: 8686: 8681: 8676: 8671: 8666: 8661: 8656: 8650: 8647: 8646: 8644: 8643: 8638: 8633: 8628: 8623: 8618: 8613: 8608: 8603: 8598: 8592: 8589: 8588: 8586: 8585: 8580: 8575: 8570: 8565: 8560: 8555: 8550: 8545: 8540: 8534: 8531: 8530: 8518: 8517: 8514: 8513: 8511: 8510: 8505: 8500: 8495: 8490: 8485: 8480: 8475: 8470: 8465: 8459: 8456: 8455: 8453: 8452: 8447: 8442: 8437: 8432: 8427: 8422: 8417: 8412: 8407: 8401: 8398: 8397: 8395: 8394: 8389: 8384: 8379: 8374: 8369: 8364: 8359: 8354: 8349: 8343: 8340: 8339: 8337: 8336: 8331: 8326: 8321: 8316: 8311: 8306: 8301: 8296: 8291: 8285: 8282: 8281: 8279: 8278: 8273: 8268: 8263: 8258: 8253: 8248: 8243: 8238: 8233: 8227: 8224: 8223: 8221: 8220: 8215: 8210: 8205: 8200: 8195: 8190: 8185: 8180: 8175: 8169: 8166: 8165: 8163: 8162: 8157: 8152: 8147: 8142: 8137: 8132: 8127: 8122: 8117: 8111: 8108: 8107: 8105: 8104: 8099: 8094: 8089: 8084: 8079: 8074: 8069: 8064: 8059: 8053: 8050: 8049: 8047: 8046: 8041: 8036: 8031: 8026: 8021: 8016: 8011: 8006: 8001: 7995: 7992: 7991: 7989: 7988: 7983: 7978: 7973: 7968: 7963: 7958: 7953: 7948: 7943: 7937: 7934: 7933: 7921: 7920: 7917: 7916: 7914: 7913: 7908: 7903: 7898: 7893: 7888: 7883: 7878: 7873: 7868: 7862: 7859: 7858: 7856: 7855: 7850: 7845: 7840: 7835: 7830: 7825: 7820: 7815: 7810: 7804: 7801: 7800: 7798: 7797: 7792: 7787: 7782: 7777: 7772: 7767: 7762: 7757: 7752: 7746: 7743: 7742: 7740: 7739: 7734: 7729: 7724: 7719: 7714: 7709: 7704: 7699: 7694: 7688: 7685: 7684: 7682: 7681: 7676: 7671: 7666: 7661: 7656: 7651: 7646: 7641: 7636: 7630: 7627: 7626: 7624: 7623: 7618: 7613: 7608: 7603: 7598: 7593: 7588: 7583: 7578: 7572: 7569: 7568: 7566: 7565: 7560: 7555: 7550: 7545: 7540: 7535: 7530: 7525: 7520: 7514: 7511: 7510: 7508: 7507: 7502: 7497: 7492: 7487: 7482: 7477: 7472: 7467: 7462: 7456: 7453: 7452: 7450: 7449: 7444: 7439: 7434: 7429: 7424: 7419: 7414: 7409: 7404: 7398: 7395: 7394: 7392: 7391: 7386: 7381: 7376: 7371: 7366: 7361: 7356: 7351: 7346: 7340: 7337: 7336: 7324: 7323: 7320: 7319: 7317: 7316: 7311: 7306: 7301: 7296: 7291: 7286: 7281: 7276: 7271: 7265: 7262: 7261: 7259: 7258: 7253: 7248: 7243: 7238: 7233: 7228: 7223: 7218: 7213: 7207: 7204: 7203: 7201: 7200: 7195: 7190: 7185: 7180: 7175: 7170: 7165: 7160: 7155: 7149: 7146: 7145: 7143: 7142: 7137: 7132: 7127: 7122: 7117: 7112: 7107: 7102: 7097: 7091: 7088: 7087: 7085: 7084: 7079: 7074: 7069: 7064: 7059: 7054: 7049: 7044: 7039: 7033: 7030: 7029: 7027: 7026: 7021: 7016: 7011: 7006: 7001: 6996: 6991: 6986: 6981: 6975: 6972: 6971: 6969: 6968: 6963: 6958: 6953: 6948: 6943: 6938: 6933: 6928: 6923: 6917: 6914: 6913: 6911: 6910: 6905: 6900: 6895: 6890: 6885: 6880: 6875: 6870: 6865: 6859: 6856: 6855: 6853: 6852: 6847: 6842: 6837: 6832: 6827: 6822: 6817: 6812: 6807: 6801: 6798: 6797: 6795: 6794: 6789: 6784: 6779: 6774: 6769: 6764: 6759: 6754: 6749: 6743: 6740: 6739: 6727: 6726: 6723: 6722: 6720: 6719: 6714: 6709: 6704: 6699: 6694: 6689: 6684: 6679: 6674: 6668: 6665: 6664: 6662: 6661: 6656: 6651: 6646: 6641: 6636: 6631: 6626: 6621: 6616: 6610: 6607: 6606: 6604: 6603: 6598: 6593: 6588: 6583: 6578: 6573: 6568: 6563: 6558: 6552: 6549: 6548: 6546: 6545: 6540: 6535: 6530: 6525: 6520: 6515: 6510: 6505: 6500: 6494: 6491: 6490: 6488: 6487: 6482: 6477: 6472: 6467: 6462: 6457: 6452: 6447: 6442: 6436: 6433: 6432: 6430: 6429: 6424: 6419: 6414: 6409: 6404: 6399: 6394: 6389: 6384: 6378: 6375: 6374: 6372: 6371: 6366: 6361: 6356: 6351: 6346: 6341: 6336: 6331: 6326: 6320: 6317: 6316: 6314: 6313: 6308: 6303: 6298: 6293: 6288: 6283: 6278: 6273: 6268: 6262: 6259: 6258: 6256: 6255: 6250: 6245: 6240: 6235: 6230: 6225: 6220: 6215: 6210: 6204: 6201: 6200: 6198: 6197: 6192: 6187: 6182: 6177: 6172: 6167: 6162: 6157: 6152: 6146: 6143: 6142: 6130: 6129: 6126: 6125: 6123: 6122: 6117: 6112: 6107: 6102: 6097: 6092: 6087: 6082: 6077: 6071: 6068: 6067: 6065: 6064: 6059: 6054: 6049: 6044: 6039: 6034: 6029: 6024: 6019: 6013: 6010: 6009: 6007: 6006: 6001: 5996: 5991: 5986: 5981: 5976: 5971: 5966: 5961: 5955: 5952: 5951: 5949: 5948: 5943: 5938: 5933: 5928: 5923: 5918: 5913: 5908: 5903: 5897: 5894: 5893: 5891: 5890: 5885: 5880: 5875: 5870: 5865: 5860: 5855: 5850: 5845: 5839: 5836: 5835: 5833: 5832: 5827: 5822: 5817: 5812: 5807: 5802: 5797: 5792: 5787: 5781: 5778: 5777: 5775: 5774: 5769: 5764: 5759: 5754: 5749: 5744: 5739: 5734: 5729: 5723: 5720: 5719: 5717: 5716: 5711: 5706: 5701: 5696: 5691: 5686: 5681: 5676: 5671: 5665: 5662: 5661: 5659: 5658: 5653: 5648: 5643: 5638: 5633: 5628: 5623: 5618: 5613: 5607: 5604: 5603: 5601: 5600: 5595: 5590: 5585: 5580: 5575: 5570: 5565: 5560: 5555: 5549: 5546: 5545: 5533: 5532: 5529: 5528: 5526: 5525: 5520: 5515: 5510: 5505: 5500: 5495: 5490: 5485: 5480: 5474: 5471: 5470: 5468: 5467: 5462: 5457: 5452: 5447: 5442: 5437: 5432: 5427: 5422: 5416: 5413: 5412: 5410: 5409: 5404: 5399: 5394: 5389: 5384: 5379: 5374: 5369: 5364: 5358: 5355: 5354: 5352: 5351: 5346: 5341: 5336: 5331: 5326: 5321: 5316: 5311: 5306: 5300: 5297: 5296: 5294: 5293: 5288: 5283: 5278: 5273: 5268: 5263: 5258: 5253: 5248: 5242: 5239: 5238: 5236: 5235: 5230: 5225: 5220: 5215: 5210: 5205: 5200: 5195: 5190: 5184: 5181: 5180: 5178: 5177: 5172: 5167: 5162: 5157: 5152: 5147: 5142: 5137: 5132: 5126: 5123: 5122: 5120: 5119: 5114: 5109: 5104: 5099: 5094: 5089: 5084: 5079: 5074: 5068: 5065: 5064: 5062: 5061: 5056: 5051: 5046: 5041: 5036: 5031: 5026: 5021: 5016: 5010: 5007: 5006: 5004: 5003: 4998: 4993: 4988: 4983: 4978: 4973: 4968: 4963: 4958: 4952: 4949: 4948: 4936: 4935: 4932: 4931: 4929: 4928: 4923: 4918: 4913: 4908: 4903: 4898: 4893: 4888: 4883: 4877: 4874: 4873: 4871: 4870: 4865: 4860: 4855: 4850: 4845: 4840: 4835: 4830: 4825: 4819: 4816: 4815: 4813: 4812: 4807: 4802: 4797: 4792: 4787: 4782: 4777: 4772: 4767: 4761: 4758: 4757: 4755: 4754: 4749: 4744: 4739: 4734: 4729: 4724: 4719: 4714: 4709: 4703: 4700: 4699: 4697: 4696: 4691: 4686: 4681: 4676: 4671: 4666: 4661: 4656: 4651: 4645: 4642: 4641: 4639: 4638: 4633: 4628: 4623: 4618: 4613: 4608: 4603: 4598: 4593: 4587: 4584: 4583: 4581: 4580: 4575: 4570: 4565: 4560: 4555: 4550: 4545: 4540: 4535: 4529: 4526: 4525: 4523: 4522: 4517: 4512: 4507: 4502: 4497: 4492: 4487: 4482: 4477: 4471: 4468: 4467: 4465: 4464: 4459: 4454: 4449: 4444: 4439: 4434: 4429: 4424: 4419: 4413: 4410: 4409: 4407: 4406: 4401: 4396: 4391: 4386: 4381: 4376: 4371: 4366: 4361: 4355: 4352: 4351: 4339: 4338: 4335: 4334: 4332: 4331: 4326: 4321: 4316: 4311: 4306: 4301: 4296: 4291: 4286: 4280: 4277: 4276: 4274: 4273: 4268: 4263: 4258: 4253: 4248: 4243: 4238: 4233: 4228: 4222: 4219: 4218: 4216: 4215: 4210: 4205: 4200: 4195: 4190: 4185: 4180: 4175: 4170: 4164: 4161: 4160: 4158: 4157: 4152: 4147: 4142: 4137: 4132: 4127: 4122: 4117: 4112: 4106: 4103: 4102: 4100: 4099: 4094: 4089: 4084: 4079: 4074: 4069: 4064: 4059: 4054: 4048: 4045: 4044: 4042: 4041: 4036: 4031: 4026: 4021: 4016: 4011: 4006: 4001: 3996: 3990: 3987: 3986: 3984: 3983: 3978: 3973: 3968: 3963: 3958: 3953: 3948: 3943: 3938: 3932: 3929: 3928: 3926: 3925: 3920: 3915: 3910: 3905: 3900: 3895: 3890: 3885: 3880: 3874: 3871: 3870: 3868: 3867: 3862: 3857: 3852: 3847: 3842: 3837: 3832: 3827: 3822: 3816: 3813: 3812: 3810: 3809: 3802: 3795: 3788: 3781: 3774: 3767: 3760: 3753: 3746: 3739: 3731: 3728: 3727: 3715: 3714: 3707: 3706: 3699: 3692: 3684: 3677: 3676: 3664: 3646: 3627: 3622:978-9087905972 3621: 3608: 3603:978-1581575873 3602: 3589: 3563:(9): 733–735. 3546: 3518: 3490: 3469: 3455: 3439:, ed. (2015). 3433: 3427: 3414: 3364: 3354:(4): 387–408. 3339: 3325: 3303: 3297: 3284: 3270: 3244: 3238: 3225: 3211: 3193:Hodges, Andrew 3189: 3175: 3153: 3146: 3133: 3119: 3085: 3079: 3050: 3044: 3018: 3012: 2997: 2992:978-1000822045 2991: 2978: 2973:978-0198831501 2972: 2959: 2937: 2903: 2897: 2884: 2878: 2863: 2857: 2832: 2827:978-0631226642 2826: 2813: 2800: 2794: 2771: 2765: 2752: 2710: 2704: 2688: 2686: 2683: 2681: 2680: 2671: 2659: 2608: 2593: 2581: 2579:, pp. 14. 2569: 2557: 2555:, pp. 99. 2545: 2533: 2521: 2509: 2497: 2482: 2468: 2454: 2439: 2435:Guastello 2023 2427: 2425:, pp. 52. 2415: 2403: 2385: 2361: 2349: 2337: 2333:Schubring 2008 2325: 2292: 2290:, p. 249. 2280: 2278:, p. 244. 2268: 2266:, p. 241. 2256: 2241: 2229: 2199: 2187: 2175: 2163: 2161:, p. 117. 2151: 2139: 2123:etymonline.com 2110: 2098: 2086: 2074: 2062: 2050: 2048:, p. 381. 2038: 2026: 2014: 2002: 1990: 1978: 1963: 1951: 1949:, p. 111. 1939: 1926: 1924: 1921: 1920: 1919: 1914: 1907: 1904: 1874:Neopythagorean 1846:periodic table 1826:speed of light 1794: 1791: 1788: 1785: 1782: 1762: 1742: 1686: 1683: 1609:Roman numerals 1563:capital letter 1534: 1527: 1526: 1522: 1515: 1514: 1513: 1512: 1511: 1509: 1506: 1466:Arabic numeral 1459: 300 BCE 1394: 1391: 1389: 1386: 1240: 1237: 1206: 1203: 1195: 1192: 1178: 1173: 1169: 1166: 1163: 1157: 1153: 1148: 1144: 1123: 1101:path-connected 1095:over a global 1080: 1077: 1074: 1071: 1018:almost certain 978: 975: 972: 946:Giuseppe Peano 914: 911: 908: 905: 881: 878: 873: 847: 844: 839: 835: 810: 807: 804: 801: 798: 795: 792: 789: 786: 766: 735:natural number 730: 729:In mathematics 727: 655: 654: 649: 643: 642: 639: 633: 632: 627: 621:Aegean numeral 613: 612: 609: 603: 602: 597: 591: 590: 585: 579: 578: 573: 567: 566: 561: 555: 554: 551: 545: 544: 541: 535: 534: 529: 523: 522: 515: 509: 508: 505: 499: 498: 491: 485: 484: 474: 468: 467: 462: 456: 455: 450: 444: 443: 440: 434: 433: 428: 418: 417: 412: 390: 389: 386: 380: 379: 376: 373: 367: 366: 363: 360: 354: 353: 350: 347: 341: 340: 337: 334: 328: 327: 324: 321: 315: 314: 311: 308: 302: 301: 296: 287: 286: 277: 268: 267: 264: 258: 257: 254: 248: 247: 244: 238: 237: 232: 226: 225: 220: 218:Numeral system 214: 213: 208: 202: 201: 198: 192: 191: 153: 150: 149: 144: 138: 137: 99: 96: 95: 92: 91: 86: 83: 70:Natural number 69: 61:, you may see 49: 48: 47: 28: 9: 6: 4: 3: 2: 10254: 10243: 10240: 10238: 10235: 10234: 10232: 10217: 10213: 10209: 10207: 10203: 10199: 10197: 10189: 10187: 10179: 10177: 10169: 10168: 10165: 10159: 10156: 10154: 10151: 10149: 10146: 10144: 10141: 10139: 10136: 10134: 10133:Modular forms 10131: 10129: 10126: 10125: 10123: 10119: 10113: 10110: 10108: 10105: 10103: 10100: 10098: 10095: 10092: 10088: 10085: 10083: 10080: 10078: 10075: 10073: 10070: 10068: 10065: 10063: 10060: 10058: 10057:Prime numbers 10055: 10053: 10050: 10048: 10045: 10043: 10040: 10038: 10035: 10034: 10032: 10028: 10022: 10019: 10017: 10014: 10011: 10007: 10003: 10000: 9997: 9993: 9990: 9987: 9983: 9979: 9976: 9974: 9971: 9969: 9966: 9964: 9961: 9958: 9954: 9950: 9946: 9943: 9940: 9939:Kummer theory 9936: 9932: 9928: 9924: 9920: 9917: 9916: 9914: 9910: 9906: 9905:Number theory 9899: 9894: 9892: 9887: 9885: 9880: 9879: 9876: 9860: 9859:1,000,000,000 9857: 9855: 9852: 9850: 9847: 9845: 9842: 9840: 9837: 9836: 9833: 9827: 9824: 9822: 9819: 9817: 9814: 9812: 9809: 9807: 9804: 9802: 9799: 9797: 9794: 9792: 9789: 9787: 9784: 9783: 9780: 9774: 9771: 9769: 9766: 9764: 9761: 9759: 9756: 9754: 9751: 9749: 9746: 9744: 9741: 9739: 9736: 9734: 9731: 9730: 9727: 9723: 9717: 9713: 9703: 9700: 9698: 9695: 9693: 9690: 9688: 9685: 9683: 9680: 9678: 9675: 9673: 9670: 9668: 9665: 9663: 9660: 9658: 9655: 9654: 9651: 9645: 9642: 9640: 9637: 9635: 9632: 9630: 9627: 9625: 9622: 9620: 9617: 9615: 9612: 9610: 9607: 9605: 9602: 9600: 9597: 9596: 9593: 9587: 9584: 9582: 9579: 9577: 9574: 9572: 9569: 9567: 9564: 9562: 9559: 9557: 9554: 9552: 9549: 9547: 9544: 9542: 9539: 9538: 9535: 9529: 9526: 9524: 9521: 9519: 9516: 9514: 9511: 9509: 9506: 9504: 9501: 9499: 9496: 9494: 9491: 9489: 9486: 9484: 9481: 9480: 9477: 9471: 9468: 9466: 9463: 9461: 9458: 9456: 9453: 9451: 9448: 9446: 9443: 9441: 9438: 9436: 9433: 9431: 9428: 9426: 9423: 9422: 9419: 9413: 9410: 9408: 9405: 9403: 9400: 9398: 9395: 9393: 9390: 9388: 9385: 9383: 9380: 9378: 9375: 9373: 9370: 9368: 9365: 9364: 9361: 9355: 9352: 9350: 9347: 9345: 9342: 9340: 9337: 9335: 9332: 9330: 9327: 9325: 9322: 9320: 9317: 9315: 9312: 9310: 9307: 9306: 9303: 9297: 9294: 9292: 9289: 9287: 9284: 9282: 9279: 9277: 9274: 9272: 9269: 9267: 9264: 9262: 9259: 9257: 9254: 9252: 9249: 9248: 9245: 9239: 9236: 9234: 9231: 9229: 9226: 9224: 9221: 9219: 9216: 9214: 9211: 9209: 9206: 9204: 9201: 9199: 9196: 9194: 9191: 9190: 9187: 9181: 9178: 9176: 9173: 9171: 9168: 9166: 9163: 9161: 9158: 9156: 9153: 9151: 9148: 9146: 9143: 9141: 9138: 9136: 9133: 9132: 9129: 9125: 9120: 9116: 9106: 9103: 9101: 9098: 9096: 9093: 9091: 9088: 9086: 9083: 9081: 9078: 9076: 9073: 9071: 9068: 9066: 9063: 9061: 9058: 9057: 9054: 9048: 9045: 9043: 9040: 9038: 9035: 9033: 9030: 9028: 9025: 9023: 9020: 9018: 9015: 9013: 9010: 9008: 9005: 9003: 9000: 8999: 8996: 8990: 8987: 8985: 8982: 8980: 8977: 8975: 8972: 8970: 8967: 8965: 8962: 8960: 8957: 8955: 8952: 8950: 8947: 8945: 8942: 8941: 8938: 8932: 8929: 8927: 8924: 8922: 8919: 8917: 8914: 8912: 8909: 8907: 8904: 8902: 8899: 8897: 8894: 8892: 8889: 8887: 8884: 8883: 8880: 8874: 8871: 8869: 8866: 8864: 8861: 8859: 8856: 8854: 8851: 8849: 8846: 8844: 8841: 8839: 8836: 8834: 8831: 8829: 8826: 8825: 8822: 8816: 8813: 8811: 8808: 8806: 8803: 8801: 8798: 8796: 8793: 8791: 8788: 8786: 8783: 8781: 8778: 8776: 8773: 8771: 8768: 8767: 8764: 8758: 8755: 8753: 8750: 8748: 8745: 8743: 8740: 8738: 8735: 8733: 8730: 8728: 8725: 8723: 8720: 8718: 8715: 8713: 8710: 8709: 8706: 8700: 8697: 8695: 8692: 8690: 8687: 8685: 8682: 8680: 8677: 8675: 8672: 8670: 8667: 8665: 8662: 8660: 8657: 8655: 8652: 8651: 8648: 8642: 8639: 8637: 8634: 8632: 8629: 8627: 8624: 8622: 8619: 8617: 8614: 8612: 8609: 8607: 8604: 8602: 8599: 8597: 8594: 8593: 8590: 8584: 8581: 8579: 8576: 8574: 8571: 8569: 8566: 8564: 8561: 8559: 8556: 8554: 8551: 8549: 8546: 8544: 8541: 8539: 8536: 8535: 8532: 8528: 8523: 8519: 8509: 8506: 8504: 8501: 8499: 8496: 8494: 8491: 8489: 8486: 8484: 8481: 8479: 8476: 8474: 8471: 8469: 8466: 8464: 8461: 8460: 8457: 8451: 8448: 8446: 8443: 8441: 8438: 8436: 8433: 8431: 8428: 8426: 8423: 8421: 8418: 8416: 8413: 8411: 8408: 8406: 8403: 8402: 8399: 8393: 8390: 8388: 8385: 8383: 8380: 8378: 8375: 8373: 8370: 8368: 8365: 8363: 8360: 8358: 8355: 8353: 8350: 8348: 8345: 8344: 8341: 8335: 8332: 8330: 8327: 8325: 8322: 8320: 8317: 8315: 8312: 8310: 8307: 8305: 8302: 8300: 8297: 8295: 8292: 8290: 8287: 8286: 8283: 8277: 8274: 8272: 8269: 8267: 8264: 8262: 8259: 8257: 8254: 8252: 8249: 8247: 8244: 8242: 8239: 8237: 8234: 8232: 8229: 8228: 8225: 8219: 8216: 8214: 8211: 8209: 8206: 8204: 8201: 8199: 8196: 8194: 8191: 8189: 8186: 8184: 8181: 8179: 8176: 8174: 8171: 8170: 8167: 8161: 8158: 8156: 8153: 8151: 8148: 8146: 8143: 8141: 8138: 8136: 8133: 8131: 8128: 8126: 8123: 8121: 8118: 8116: 8113: 8112: 8109: 8103: 8100: 8098: 8095: 8093: 8090: 8088: 8085: 8083: 8080: 8078: 8075: 8073: 8070: 8068: 8065: 8063: 8060: 8058: 8055: 8054: 8051: 8045: 8042: 8040: 8037: 8035: 8032: 8030: 8027: 8025: 8022: 8020: 8017: 8015: 8012: 8010: 8007: 8005: 8002: 8000: 7997: 7996: 7993: 7987: 7984: 7982: 7979: 7977: 7974: 7972: 7969: 7967: 7964: 7962: 7959: 7957: 7954: 7952: 7949: 7947: 7944: 7942: 7939: 7938: 7935: 7931: 7926: 7922: 7912: 7909: 7907: 7904: 7902: 7899: 7897: 7894: 7892: 7889: 7887: 7884: 7882: 7879: 7877: 7874: 7872: 7869: 7867: 7864: 7863: 7860: 7854: 7851: 7849: 7846: 7844: 7841: 7839: 7836: 7834: 7831: 7829: 7826: 7824: 7821: 7819: 7816: 7814: 7811: 7809: 7806: 7805: 7802: 7796: 7793: 7791: 7788: 7786: 7783: 7781: 7778: 7776: 7773: 7771: 7768: 7766: 7763: 7761: 7758: 7756: 7753: 7751: 7748: 7747: 7744: 7738: 7735: 7733: 7730: 7728: 7725: 7723: 7720: 7718: 7715: 7713: 7710: 7708: 7705: 7703: 7700: 7698: 7695: 7693: 7690: 7689: 7686: 7680: 7677: 7675: 7672: 7670: 7667: 7665: 7662: 7660: 7657: 7655: 7652: 7650: 7647: 7645: 7642: 7640: 7637: 7635: 7632: 7631: 7628: 7622: 7619: 7617: 7614: 7612: 7609: 7607: 7604: 7602: 7599: 7597: 7594: 7592: 7589: 7587: 7584: 7582: 7579: 7577: 7574: 7573: 7570: 7564: 7561: 7559: 7556: 7554: 7551: 7549: 7546: 7544: 7541: 7539: 7536: 7534: 7531: 7529: 7526: 7524: 7521: 7519: 7516: 7515: 7512: 7506: 7503: 7501: 7498: 7496: 7493: 7491: 7488: 7486: 7483: 7481: 7478: 7476: 7473: 7471: 7468: 7466: 7463: 7461: 7458: 7457: 7454: 7448: 7445: 7443: 7440: 7438: 7435: 7433: 7430: 7428: 7425: 7423: 7420: 7418: 7415: 7413: 7410: 7408: 7405: 7403: 7400: 7399: 7396: 7390: 7387: 7385: 7382: 7380: 7377: 7375: 7372: 7370: 7367: 7365: 7362: 7360: 7357: 7355: 7352: 7350: 7347: 7345: 7342: 7341: 7338: 7334: 7329: 7325: 7315: 7312: 7310: 7307: 7305: 7302: 7300: 7297: 7295: 7292: 7290: 7287: 7285: 7282: 7280: 7277: 7275: 7272: 7270: 7267: 7266: 7263: 7257: 7254: 7252: 7249: 7247: 7244: 7242: 7239: 7237: 7234: 7232: 7229: 7227: 7224: 7222: 7219: 7217: 7214: 7212: 7209: 7208: 7205: 7199: 7196: 7194: 7191: 7189: 7186: 7184: 7181: 7179: 7176: 7174: 7171: 7169: 7166: 7164: 7161: 7159: 7156: 7154: 7151: 7150: 7147: 7141: 7138: 7136: 7133: 7131: 7128: 7126: 7123: 7121: 7118: 7116: 7113: 7111: 7108: 7106: 7103: 7101: 7098: 7096: 7093: 7092: 7089: 7083: 7080: 7078: 7075: 7073: 7070: 7068: 7065: 7063: 7060: 7058: 7055: 7053: 7050: 7048: 7045: 7043: 7040: 7038: 7035: 7034: 7031: 7025: 7022: 7020: 7017: 7015: 7012: 7010: 7007: 7005: 7002: 7000: 6997: 6995: 6992: 6990: 6987: 6985: 6982: 6980: 6977: 6976: 6973: 6967: 6964: 6962: 6959: 6957: 6954: 6952: 6949: 6947: 6944: 6942: 6939: 6937: 6934: 6932: 6929: 6927: 6924: 6922: 6919: 6918: 6915: 6909: 6906: 6904: 6901: 6899: 6896: 6894: 6891: 6889: 6886: 6884: 6881: 6879: 6876: 6874: 6871: 6869: 6866: 6864: 6861: 6860: 6857: 6851: 6848: 6846: 6843: 6841: 6838: 6836: 6833: 6831: 6828: 6826: 6823: 6821: 6818: 6816: 6813: 6811: 6808: 6806: 6803: 6802: 6799: 6793: 6790: 6788: 6785: 6783: 6780: 6778: 6775: 6773: 6770: 6768: 6765: 6763: 6760: 6758: 6755: 6753: 6750: 6748: 6745: 6744: 6741: 6737: 6732: 6728: 6718: 6715: 6713: 6710: 6708: 6705: 6703: 6700: 6698: 6695: 6693: 6690: 6688: 6685: 6683: 6680: 6678: 6675: 6673: 6670: 6669: 6666: 6660: 6657: 6655: 6652: 6650: 6647: 6645: 6642: 6640: 6637: 6635: 6632: 6630: 6627: 6625: 6622: 6620: 6617: 6615: 6612: 6611: 6608: 6602: 6599: 6597: 6594: 6592: 6589: 6587: 6584: 6582: 6579: 6577: 6574: 6572: 6569: 6567: 6564: 6562: 6559: 6557: 6554: 6553: 6550: 6544: 6541: 6539: 6536: 6534: 6531: 6529: 6526: 6524: 6521: 6519: 6516: 6514: 6511: 6509: 6506: 6504: 6501: 6499: 6496: 6495: 6492: 6486: 6483: 6481: 6478: 6476: 6473: 6471: 6468: 6466: 6463: 6461: 6458: 6456: 6453: 6451: 6448: 6446: 6443: 6441: 6438: 6437: 6434: 6428: 6425: 6423: 6420: 6418: 6415: 6413: 6410: 6408: 6405: 6403: 6400: 6398: 6395: 6393: 6390: 6388: 6385: 6383: 6380: 6379: 6376: 6370: 6367: 6365: 6362: 6360: 6357: 6355: 6352: 6350: 6347: 6345: 6342: 6340: 6337: 6335: 6332: 6330: 6327: 6325: 6322: 6321: 6318: 6312: 6309: 6307: 6304: 6302: 6299: 6297: 6294: 6292: 6289: 6287: 6284: 6282: 6279: 6277: 6274: 6272: 6269: 6267: 6264: 6263: 6260: 6254: 6251: 6249: 6246: 6244: 6241: 6239: 6236: 6234: 6231: 6229: 6226: 6224: 6221: 6219: 6216: 6214: 6211: 6209: 6206: 6205: 6202: 6196: 6193: 6191: 6188: 6186: 6183: 6181: 6178: 6176: 6173: 6171: 6168: 6166: 6163: 6161: 6158: 6156: 6153: 6151: 6148: 6147: 6144: 6140: 6135: 6131: 6121: 6118: 6116: 6113: 6111: 6108: 6106: 6103: 6101: 6098: 6096: 6093: 6091: 6088: 6086: 6083: 6081: 6078: 6076: 6073: 6072: 6069: 6063: 6060: 6058: 6055: 6053: 6050: 6048: 6045: 6043: 6040: 6038: 6035: 6033: 6030: 6028: 6025: 6023: 6020: 6018: 6015: 6014: 6011: 6005: 6002: 6000: 5997: 5995: 5992: 5990: 5987: 5985: 5982: 5980: 5977: 5975: 5972: 5970: 5967: 5965: 5962: 5960: 5957: 5956: 5953: 5947: 5944: 5942: 5939: 5937: 5934: 5932: 5929: 5927: 5924: 5922: 5919: 5917: 5914: 5912: 5909: 5907: 5904: 5902: 5899: 5898: 5895: 5889: 5886: 5884: 5881: 5879: 5876: 5874: 5871: 5869: 5866: 5864: 5861: 5859: 5856: 5854: 5851: 5849: 5846: 5844: 5841: 5840: 5837: 5831: 5828: 5826: 5823: 5821: 5818: 5816: 5813: 5811: 5808: 5806: 5803: 5801: 5798: 5796: 5793: 5791: 5788: 5786: 5783: 5782: 5779: 5773: 5770: 5768: 5765: 5763: 5760: 5758: 5755: 5753: 5750: 5748: 5745: 5743: 5740: 5738: 5735: 5733: 5730: 5728: 5725: 5724: 5721: 5715: 5712: 5710: 5707: 5705: 5702: 5700: 5697: 5695: 5692: 5690: 5687: 5685: 5682: 5680: 5677: 5675: 5672: 5670: 5667: 5666: 5663: 5657: 5654: 5652: 5649: 5647: 5644: 5642: 5639: 5637: 5634: 5632: 5629: 5627: 5624: 5622: 5619: 5617: 5614: 5612: 5609: 5608: 5605: 5599: 5596: 5594: 5591: 5589: 5586: 5584: 5581: 5579: 5576: 5574: 5571: 5569: 5566: 5564: 5561: 5559: 5556: 5554: 5551: 5550: 5547: 5543: 5538: 5534: 5524: 5521: 5519: 5516: 5514: 5511: 5509: 5506: 5504: 5501: 5499: 5496: 5494: 5491: 5489: 5486: 5484: 5481: 5479: 5476: 5475: 5472: 5466: 5463: 5461: 5458: 5456: 5453: 5451: 5448: 5446: 5443: 5441: 5438: 5436: 5433: 5431: 5428: 5426: 5423: 5421: 5418: 5417: 5414: 5408: 5405: 5403: 5400: 5398: 5395: 5393: 5390: 5388: 5385: 5383: 5380: 5378: 5375: 5373: 5370: 5368: 5365: 5363: 5360: 5359: 5356: 5350: 5347: 5345: 5342: 5340: 5337: 5335: 5332: 5330: 5327: 5325: 5322: 5320: 5317: 5315: 5312: 5310: 5307: 5305: 5302: 5301: 5298: 5292: 5289: 5287: 5284: 5282: 5279: 5277: 5274: 5272: 5269: 5267: 5264: 5262: 5259: 5257: 5254: 5252: 5249: 5247: 5244: 5243: 5240: 5234: 5231: 5229: 5226: 5224: 5221: 5219: 5216: 5214: 5211: 5209: 5206: 5204: 5201: 5199: 5196: 5194: 5191: 5189: 5186: 5185: 5182: 5176: 5173: 5171: 5168: 5166: 5163: 5161: 5158: 5156: 5153: 5151: 5148: 5146: 5143: 5141: 5138: 5136: 5133: 5131: 5128: 5127: 5124: 5118: 5115: 5113: 5110: 5108: 5105: 5103: 5100: 5098: 5095: 5093: 5090: 5088: 5085: 5083: 5080: 5078: 5075: 5073: 5070: 5069: 5066: 5060: 5057: 5055: 5052: 5050: 5047: 5045: 5042: 5040: 5037: 5035: 5032: 5030: 5027: 5025: 5022: 5020: 5017: 5015: 5012: 5011: 5008: 5002: 4999: 4997: 4994: 4992: 4989: 4987: 4984: 4982: 4979: 4977: 4974: 4972: 4969: 4967: 4964: 4962: 4959: 4957: 4954: 4953: 4950: 4946: 4941: 4937: 4927: 4924: 4922: 4919: 4917: 4914: 4912: 4909: 4907: 4904: 4902: 4899: 4897: 4894: 4892: 4889: 4887: 4884: 4882: 4879: 4878: 4875: 4869: 4866: 4864: 4861: 4859: 4856: 4854: 4851: 4849: 4846: 4844: 4841: 4839: 4836: 4834: 4831: 4829: 4826: 4824: 4821: 4820: 4817: 4811: 4808: 4806: 4803: 4801: 4798: 4796: 4793: 4791: 4788: 4786: 4783: 4781: 4778: 4776: 4773: 4771: 4768: 4766: 4763: 4762: 4759: 4753: 4750: 4748: 4745: 4743: 4740: 4738: 4735: 4733: 4730: 4728: 4725: 4723: 4720: 4718: 4715: 4713: 4710: 4708: 4705: 4704: 4701: 4695: 4692: 4690: 4687: 4685: 4682: 4680: 4677: 4675: 4672: 4670: 4667: 4665: 4662: 4660: 4657: 4655: 4652: 4650: 4647: 4646: 4643: 4637: 4634: 4632: 4629: 4627: 4624: 4622: 4619: 4617: 4614: 4612: 4609: 4607: 4604: 4602: 4599: 4597: 4594: 4592: 4589: 4588: 4585: 4579: 4576: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4549: 4546: 4544: 4541: 4539: 4536: 4534: 4531: 4530: 4527: 4521: 4518: 4516: 4513: 4511: 4508: 4506: 4503: 4501: 4498: 4496: 4493: 4491: 4488: 4486: 4483: 4481: 4478: 4476: 4473: 4472: 4469: 4463: 4460: 4458: 4455: 4453: 4450: 4448: 4445: 4443: 4440: 4438: 4435: 4433: 4430: 4428: 4425: 4423: 4420: 4418: 4415: 4414: 4411: 4405: 4402: 4400: 4397: 4395: 4392: 4390: 4387: 4385: 4382: 4380: 4377: 4375: 4372: 4370: 4367: 4365: 4362: 4360: 4357: 4356: 4353: 4349: 4344: 4340: 4330: 4327: 4325: 4322: 4320: 4317: 4315: 4312: 4310: 4307: 4305: 4302: 4300: 4297: 4295: 4292: 4290: 4287: 4285: 4282: 4281: 4278: 4272: 4269: 4267: 4264: 4262: 4259: 4257: 4254: 4252: 4249: 4247: 4244: 4242: 4239: 4237: 4234: 4232: 4229: 4227: 4224: 4223: 4220: 4214: 4211: 4209: 4206: 4204: 4201: 4199: 4196: 4194: 4191: 4189: 4186: 4184: 4181: 4179: 4176: 4174: 4171: 4169: 4166: 4165: 4162: 4156: 4153: 4151: 4148: 4146: 4143: 4141: 4138: 4136: 4133: 4131: 4128: 4126: 4123: 4121: 4118: 4116: 4113: 4111: 4108: 4107: 4104: 4098: 4095: 4093: 4090: 4088: 4085: 4083: 4080: 4078: 4075: 4073: 4070: 4068: 4065: 4063: 4060: 4058: 4055: 4053: 4050: 4049: 4046: 4040: 4037: 4035: 4032: 4030: 4027: 4025: 4022: 4020: 4017: 4015: 4012: 4010: 4007: 4005: 4002: 4000: 3997: 3995: 3992: 3991: 3988: 3982: 3979: 3977: 3974: 3972: 3969: 3967: 3964: 3962: 3959: 3957: 3954: 3952: 3949: 3947: 3944: 3942: 3939: 3937: 3934: 3933: 3930: 3924: 3921: 3919: 3916: 3914: 3911: 3909: 3906: 3904: 3901: 3899: 3896: 3894: 3891: 3889: 3886: 3884: 3881: 3879: 3876: 3875: 3872: 3866: 3863: 3861: 3858: 3856: 3853: 3851: 3848: 3846: 3843: 3841: 3838: 3836: 3833: 3831: 3828: 3826: 3823: 3821: 3818: 3817: 3814: 3807: 3803: 3800: 3796: 3793: 3789: 3786: 3782: 3779: 3775: 3772: 3768: 3765: 3761: 3758: 3754: 3751: 3747: 3744: 3740: 3737: 3733: 3732: 3729: 3725: 3720: 3716: 3712: 3705: 3700: 3698: 3693: 3691: 3686: 3685: 3682: 3667: 3661: 3657: 3656: 3651: 3647: 3637: 3633: 3628: 3624: 3618: 3614: 3609: 3605: 3599: 3595: 3590: 3586: 3582: 3578: 3574: 3570: 3566: 3562: 3558: 3557: 3552: 3547: 3543: 3539: 3535: 3530: 3529: 3523: 3519: 3515: 3511: 3507: 3502: 3501: 3495: 3491: 3487: 3483: 3479: 3475: 3470: 3466: 3462: 3458: 3452: 3448: 3444: 3443: 3438: 3434: 3430: 3424: 3420: 3415: 3411: 3407: 3403: 3399: 3395: 3391: 3387: 3383: 3379: 3375: 3374: 3369: 3365: 3361: 3357: 3353: 3349: 3345: 3340: 3336: 3332: 3328: 3322: 3318: 3314: 3313: 3308: 3304: 3300: 3294: 3290: 3285: 3281: 3277: 3273: 3267: 3263: 3259: 3258: 3253: 3249: 3245: 3241: 3235: 3232:. CRC Press. 3231: 3226: 3222: 3218: 3214: 3212:9780385672665 3208: 3204: 3200: 3199: 3194: 3190: 3186: 3182: 3178: 3172: 3168: 3164: 3163: 3158: 3154: 3149: 3147:9780724809400 3143: 3139: 3134: 3130: 3126: 3122: 3120:0-387-90092-6 3116: 3112: 3108: 3104: 3100: 3096: 3095: 3090: 3086: 3082: 3080:9781138573963 3076: 3072: 3068: 3064: 3060: 3056: 3051: 3047: 3045:0-201-14236-8 3041: 3037: 3036: 3031: 3027: 3023: 3019: 3015: 3009: 3005: 3004: 2998: 2994: 2988: 2984: 2979: 2975: 2969: 2965: 2960: 2956: 2952: 2948: 2944: 2940: 2934: 2930: 2926: 2922: 2918: 2917: 2912: 2908: 2904: 2900: 2894: 2890: 2885: 2881: 2875: 2871: 2870: 2864: 2860: 2854: 2850: 2846: 2842: 2841: 2838: 2833: 2829: 2823: 2819: 2814: 2810: 2809: 2806: 2801: 2797: 2791: 2787: 2783: 2779: 2778: 2772: 2768: 2766:0-226-10389-7 2762: 2758: 2753: 2749: 2745: 2741: 2737: 2733: 2730: 2726: 2722: 2721: 2716: 2711: 2707: 2701: 2697: 2696: 2690: 2689: 2675: 2668: 2663: 2647: 2643: 2639: 2635: 2631: 2627: 2623: 2619: 2612: 2605: 2600: 2598: 2590: 2585: 2578: 2573: 2566: 2561: 2554: 2549: 2543:, p. 48. 2542: 2537: 2531:, p. 34. 2530: 2525: 2518: 2517:Woodford 2006 2513: 2506: 2501: 2493: 2486: 2478: 2472: 2464: 2458: 2450: 2443: 2436: 2431: 2424: 2419: 2412: 2407: 2399: 2395: 2389: 2375: 2371: 2365: 2359:, p. 93. 2358: 2353: 2346: 2341: 2334: 2329: 2320: 2315: 2311: 2307: 2303: 2296: 2289: 2284: 2277: 2272: 2265: 2260: 2254:, p. 17. 2253: 2248: 2246: 2238: 2233: 2218: 2214: 2210: 2203: 2196: 2191: 2184: 2179: 2172: 2167: 2160: 2155: 2148: 2143: 2128: 2124: 2120: 2114: 2107: 2102: 2095: 2094:Kottwitz 1988 2090: 2083: 2078: 2071: 2066: 2060:, p. 35. 2059: 2054: 2047: 2042: 2035: 2030: 2024:, p. 14. 2023: 2018: 2012:, p. 32. 2011: 2006: 2000:, p. 27. 1999: 1994: 1987: 1982: 1975: 1970: 1968: 1960: 1955: 1948: 1943: 1936: 1931: 1927: 1918: 1915: 1913: 1910: 1909: 1903: 1901: 1897: 1896:neoplatonists 1893: 1889: 1888: 1883: 1879: 1875: 1870: 1865: 1863: 1862:alkali metals 1859: 1858:atomic number 1855: 1852:in the known 1851: 1848:and the most 1847: 1843: 1839: 1838:wavefunctions 1835: 1831: 1827: 1823: 1819: 1815: 1811: 1806: 1792: 1789: 1786: 1783: 1780: 1760: 1740: 1732: 1728: 1724: 1720: 1716: 1712: 1708: 1704: 1700: 1696: 1692: 1682: 1680: 1675: 1671: 1662: 1657: 1652: 1643: 1639: 1634: 1630: 1628: 1625:or uppercase 1624: 1620: 1615: 1611:system where 1610: 1598: 1594: 1590: 1585: 1580: 1576: 1572: 1568: 1564: 1560: 1556: 1555:lining figure 1552: 1541: 1537: 1531: 1519: 1505: 1503: 1491: 1487: 1483: 1479: 1475: 1471: 1467: 1462: 1446: 1442: 1439: 1435: 1430: 1425: 1414: 1410: 1406: 1400: 1385: 1383: 1379: 1375: 1371: 1367: 1363: 1359: 1355: 1351: 1347: 1343: 1339: 1335: 1331: 1327: 1323: 1319: 1315: 1311: 1307: 1303: 1298: 1296: 1292: 1288: 1284: 1280: 1278: 1274: 1270: 1266: 1262: 1258: 1254: 1250: 1246: 1236: 1234: 1231: 1227: 1223: 1219: 1215: 1211: 1201: 1200:One (pronoun) 1191: 1176: 1171: 1167: 1164: 1161: 1155: 1151: 1146: 1142: 1121: 1113: 1112:Benford’s law 1108: 1106: 1102: 1098: 1094: 1075: 1069: 1062: 1058: 1054: 1050: 1046: 1042: 1037: 1035: 1031: 1027: 1023: 1019: 1015: 1011: 1010:unit interval 1007: 1002: 1000: 996: 993:, as used in 992: 973: 963: 959: 955: 951: 947: 942: 940: 936: 932: 928: 927:empty product 912: 909: 906: 903: 895: 879: 876: 871: 861: 845: 842: 837: 833: 824: 808: 805: 802: 799: 796: 793: 790: 787: 784: 764: 756: 752: 748: 744: 740: 736: 726: 724: 720: 716: 712: 707: 705: 701: 697: 693: 689: 685: 681: 677: 673: 669: 665: 661: 650: 648: 644: 640: 638: 637:Mayan numeral 634: 628: 626: 622: 618: 614: 610: 608: 604: 598: 596: 592: 586: 584: 580: 574: 572: 568: 562: 560: 556: 552: 550: 546: 542: 540: 536: 530: 528: 524: 520: 516: 514: 510: 506: 504: 500: 497: 492: 490: 486: 482: 475: 473: 469: 463: 461: 457: 451: 449: 445: 441: 439: 435: 429: 427: 423: 419: 413: 411: 407: 403: 399: 395: 391: 387: 385: 384:Greek numeral 381: 374: 372: 368: 361: 359: 355: 348: 346: 342: 335: 333: 329: 322: 320: 316: 309: 307: 303: 300: 297: 295: 292: 288: 285: 281: 278: 276: 273: 269: 265: 263: 262:Roman numeral 259: 255: 253: 252:Greek numeral 249: 245: 243: 239: 236: 233: 231: 230:Factorization 227: 224: 221: 219: 215: 209: 207: 203: 199: 197: 193: 189: 186: 183: 180: 177: 174: 171: 168: 165: 162: 159: 156: 148: 145: 143: 140: 139: 135: 132: 129: 126: 123: 120: 117: 114: 111: 108: 105: 102: 97: 90: 87: 84: 82: 79: 78: 74: 64: 60: 56: 54: 45: 41: 37: 32: 27: 19: 10051: 10030:Key concepts 9957:sieve theory 3749: 3669:. Retrieved 3654: 3639:. Retrieved 3635: 3612: 3593: 3560: 3554: 3533: 3527: 3505: 3499: 3477: 3473: 3441: 3418: 3377: 3371: 3351: 3347: 3311: 3288: 3256: 3229: 3197: 3161: 3137: 3093: 3058: 3034: 3002: 2982: 2963: 2915: 2911:Lurie, Jacob 2888: 2868: 2840: 2837: 2817: 2808: 2805: 2776: 2756: 2724: 2718: 2694: 2674: 2662: 2650:. Retrieved 2625: 2621: 2611: 2604:Stewart 2024 2584: 2577:McWeeny 1972 2572: 2560: 2548: 2536: 2529:Godbole 2002 2524: 2519:, p. 9. 2512: 2500: 2485: 2471: 2457: 2442: 2430: 2423:Chicago 1993 2418: 2406: 2397: 2388: 2377:. Retrieved 2373: 2364: 2352: 2345:Crystal 2008 2340: 2328: 2309: 2305: 2295: 2283: 2271: 2259: 2239:, p. 4. 2232: 2221:. Retrieved 2212: 2202: 2190: 2178: 2166: 2154: 2147:Hurford 1994 2142: 2131:. Retrieved 2122: 2113: 2101: 2089: 2077: 2065: 2053: 2041: 2029: 2017: 2005: 1993: 1988:, p. 1. 1981: 1974:Kennedy 1974 1954: 1942: 1930: 1885: 1876:philosopher 1869:monotheistic 1866: 1822:Planck units 1818:natural unit 1807: 1688: 1673: 1669: 1647: 1641: 1626: 1622: 1593:Hoefler Text 1588: 1574: 1570: 1567:text figures 1554: 1548: 1540:text figures 1536:Hoefler Text 1463: 1413:clay tablets 1402: 1349: 1345: 1341: 1337: 1333: 1329: 1325: 1321: 1317: 1313: 1309: 1305: 1301: 1299: 1294: 1282: 1281: 1276: 1272: 1268: 1252: 1244: 1242: 1239:Modern usage 1232: 1225: 1217: 1209: 1208: 1109: 1097:number field 1038: 1026:unit vectors 1003: 950:Peano axioms 943: 931:prime number 751:real numbers 732: 711:prime number 708: 671: 667: 663: 659: 658: 106: 50: 31: 26: 10216:Wikiversity 10138:L-functions 9854:100,000,000 3480:: 537–541. 3388:: 629–646. 2589:Emsley 2001 2357:Cullen 2007 2312:: 136–142. 2106:Miller 2015 2022:Hodges 2009 2010:Halmos 1974 1935:Colman 1912 1828:equals 1. 1812:, selected 1711:logic gates 1707:transistors 1691:binary code 1619:typewriters 1599:version of 1409:sexagesimal 1348:) leads to 1228:, from the 1214:Old English 1014:probability 860:square root 719:binary code 704:measurement 371:Hexadecimal 10237:1 (number) 10231:Categories 10097:Arithmetic 9849:10,000,000 3671:2016-03-24 3641:2024-08-21 3636:Brittanica 3542:39.0084.01 3514:21.0051.02 3474:Metrologia 3428:0486143805 3384:& the 3280:1255524478 3239:1420048775 2955:1439.14006 2898:0198503415 2858:0614971667 2748:1285.11001 2705:9401097119 2565:Mills 1995 2379:2023-11-21 2223:2022-02-24 2133:2013-12-30 2070:Pintz 1980 1998:Peano 1908 1986:Peano 1889 1923:References 1693:, i.e., a 1597:small caps 1549:In modern 1490:Al-Andalus 1443:cuneiform 1411:system on 1397:See also: 1370:solo dance 1344:(implying 1263:countable 1259:used with 1257:determiner 1198:See also: 1006:normalized 739:succession 647:Morse code 448:Devanāgarī 358:Duodecimal 81:← 0 9844:1,000,000 3577:0002-9890 3221:118490841 3071:Routledge 2642:145065082 2411:Polt 2015 2034:Hext 1990 1856:, has an 1703:computers 1589:old-style 1551:typefaces 1502:logograms 1424:cuneiform 1324:denoting 1205:Etymology 1194:As a word 1152:⁡ 1103:with no ' 1070:τ 962:singleton 894:factorial 800:× 788:× 723:computing 652:. _ _ _ _ 549:Malayalam 89:2 → 10242:Integers 10206:Wikibook 10176:Category 3711:Integers 3652:(2006). 3524:(1908). 3496:(1889). 3335:29702087 3309:(1994). 3195:(2009). 3103:Springer 3091:(1974). 3067:New York 3032:(1994). 2913:(2019). 2734:: 1–14. 2646:Archived 2217:Archived 2127:Archived 1917:0.999... 1906:See also 1892:Plotinus 1882:Boethius 1854:universe 1842:Hydrogen 1640:, using 1579:x-height 1559:ascender 1557:with an 1407:decimal- 1405:Sumerian 1382:monopoly 1378:monogamy 1374:monorail 1362:universe 1358:unicycle 1346:one-like 1326:one time 1316:meaning 1304:include 1267:, as in 1261:singular 1222:Germanic 1030:integral 999:counting 995:tallying 747:integers 700:counting 539:Armenian 472:Georgian 422:Assamese 242:Divisors 196:Cardinal 147:Integers 10037:Numbers 9839:100,000 3585:2321863 3465:3408774 3410:0942522 3402:2007007 3185:2435558 3129:0453532 2947:3887650 2740:3005530 2685:Sources 2652:May 16, 1810:physics 1773:once (1 1500:)) are 1486:Maghreb 1474:Brahmic 1445:decimal 1441:Semitic 1434:Eblaite 1393:History 1366:unicorn 1318:not one 1310:all one 1287:pronoun 1233:*oi-no- 1051:of the 1022:vectors 745:of the 680:numeral 674:) is a 513:Kannada 426:Bengali 402:Persian 398:Kurdish 319:Ternary 212:(first) 206:Ordinal 9912:Fields 9826:90,000 9821:80,000 9816:70,000 9811:60,000 9806:50,000 9801:40,000 9796:30,000 9791:20,000 9786:10,000 3808:  3804:  3801:  3797:  3794:  3790:  3787:  3783:  3780:  3776:  3773:  3769:  3766:  3762:  3759:  3755:  3752:  3748:  3745:  3741:  3738:  3734:  3662:  3619:  3600:  3583:  3575:  3540:  3512:  3463:  3453:  3425:  3408:  3400:  3333:  3323:  3295:  3278:  3268:  3236:  3219:  3209:  3183:  3173:  3144:  3127:  3117:  3077:  3042:  3010:  2989:  2970:  2953:  2945:  2935:  2895:  2876:  2855:  2824:  2792:  2763:  2746:  2738:  2702:  2640:  1638:Venice 1478:Ashoka 1350:lonely 1334:at one 1328:, and 1291:person 1226:*ainaz 1055:. The 937:nor a 823:square 753:, and 682:, and 676:number 595:Telugu 559:Meitei 489:Hebrew 424:& 406:Sindhi 394:Arabic 332:Senary 306:Binary 294:prefix 284:haplo- 275:prefix 29:Number 10052:Unity 3581:JSTOR 3532:[ 3504:[ 3398:JSTOR 3376:. 2. 3217:S2CID 2638:S2CID 1721:. In 1679:seven 1656:swash 1587:. In 1470:serif 1340:with 1338:alone 1330:atone 1306:alone 1265:nouns 1247:is a 1224:root 1216:word 1105:holes 935:prime 713:. In 684:glyph 672:unity 583:Tamil 527:Khmer 477:Ⴀ/ⴀ/ა 460:Ge'ez 442:一/弌/壹 345:Octal 291:Latin 280:mono- 272:Greek 223:unary 9773:9000 9768:8000 9763:7000 9758:6000 9753:5000 9748:4000 9743:3000 9738:2000 9733:1000 9722:1000 9124:900s 8527:800s 7930:700s 7333:600s 6736:500s 6139:400s 5542:300s 4945:200s 4348:100s 3660:ISBN 3617:ISBN 3598:ISBN 3573:ISSN 3451:ISBN 3423:ISBN 3331:OCLC 3321:ISBN 3293:ISBN 3276:OCLC 3266:ISBN 3234:ISBN 3207:ISBN 3171:ISBN 3142:ISBN 3115:ISBN 3075:ISBN 3065:and 3040:ISBN 3008:ISBN 2987:ISBN 2968:ISBN 2933:ISBN 2893:ISBN 2874:ISBN 2853:ISBN 2822:ISBN 2790:ISBN 2761:ISBN 2700:ISBN 2654:2021 1824:the 1725:and 1715:true 1695:base 1488:and 1436:and 1342:only 1322:once 1314:none 1107:'). 696:unit 668:unit 571:Thai 410:Urdu 299:uni- 266:I, i 42:and 36:AD 1 9702:999 9697:998 9692:997 9687:996 9682:995 9677:994 9672:993 9667:992 9662:991 9657:990 9644:989 9639:988 9634:987 9629:986 9624:985 9619:984 9614:983 9609:982 9604:981 9599:980 9586:979 9581:978 9576:977 9571:976 9566:975 9561:974 9556:973 9551:972 9546:971 9541:970 9528:969 9523:968 9518:967 9513:966 9508:965 9503:964 9498:963 9493:962 9488:961 9483:960 9470:959 9465:958 9460:957 9455:956 9450:955 9445:954 9440:953 9435:952 9430:951 9425:950 9412:949 9407:948 9402:947 9397:946 9392:945 9387:944 9382:943 9377:942 9372:941 9367:940 9354:939 9349:938 9344:937 9339:936 9334:935 9329:934 9324:933 9319:932 9314:931 9309:930 9296:929 9291:928 9286:927 9281:926 9276:925 9271:924 9266:923 9261:922 9256:921 9251:920 9238:919 9233:918 9228:917 9223:916 9218:915 9213:914 9208:913 9203:912 9198:911 9193:910 9180:909 9175:908 9170:907 9165:906 9160:905 9155:904 9150:903 9145:902 9140:901 9135:900 9105:899 9100:898 9095:897 9090:896 9085:895 9080:894 9075:893 9070:892 9065:891 9060:890 9047:889 9042:888 9037:887 9032:886 9027:885 9022:884 9017:883 9012:882 9007:881 9002:880 8989:879 8984:878 8979:877 8974:876 8969:875 8964:874 8959:873 8954:872 8949:871 8944:870 8931:869 8926:868 8921:867 8916:866 8911:865 8906:864 8901:863 8896:862 8891:861 8886:860 8873:859 8868:858 8863:857 8858:856 8853:855 8848:854 8843:853 8838:852 8833:851 8828:850 8815:849 8810:848 8805:847 8800:846 8795:845 8790:844 8785:843 8780:842 8775:841 8770:840 8757:839 8752:838 8747:837 8742:836 8737:835 8732:834 8727:833 8722:832 8717:831 8712:830 8699:829 8694:828 8689:827 8684:826 8679:825 8674:824 8669:823 8664:822 8659:821 8654:820 8641:819 8636:818 8631:817 8626:816 8621:815 8616:814 8611:813 8606:812 8601:811 8596:810 8583:809 8578:808 8573:807 8568:806 8563:805 8558:804 8553:803 8548:802 8543:801 8538:800 8508:799 8503:798 8498:797 8493:796 8488:795 8483:794 8478:793 8473:792 8468:791 8463:790 8450:789 8445:788 8440:787 8435:786 8430:785 8425:784 8420:783 8415:782 8410:781 8405:780 8392:779 8387:778 8382:777 8377:776 8372:775 8367:774 8362:773 8357:772 8352:771 8347:770 8334:769 8329:768 8324:767 8319:766 8314:765 8309:764 8304:763 8299:762 8294:761 8289:760 8276:759 8271:758 8266:757 8261:756 8256:755 8251:754 8246:753 8241:752 8236:751 8231:750 8218:749 8213:748 8208:747 8203:746 8198:745 8193:744 8188:743 8183:742 8178:741 8173:740 8160:739 8155:738 8150:737 8145:736 8140:735 8135:734 8130:733 8125:732 8120:731 8115:730 8102:729 8097:728 8092:727 8087:726 8082:725 8077:724 8072:723 8067:722 8062:721 8057:720 8044:719 8039:718 8034:717 8029:716 8024:715 8019:714 8014:713 8009:712 8004:711 7999:710 7986:709 7981:708 7976:707 7971:706 7966:705 7961:704 7956:703 7951:702 7946:701 7941:700 7911:699 7906:698 7901:697 7896:696 7891:695 7886:694 7881:693 7876:692 7871:691 7866:690 7853:689 7848:688 7843:687 7838:686 7833:685 7828:684 7823:683 7818:682 7813:681 7808:680 7795:679 7790:678 7785:677 7780:676 7775:675 7770:674 7765:673 7760:672 7755:671 7750:670 7737:669 7732:668 7727:667 7722:666 7717:665 7712:664 7707:663 7702:662 7697:661 7692:660 7679:659 7674:658 7669:657 7664:656 7659:655 7654:654 7649:653 7644:652 7639:651 7634:650 7621:649 7616:648 7611:647 7606:646 7601:645 7596:644 7591:643 7586:642 7581:641 7576:640 7563:639 7558:638 7553:637 7548:636 7543:635 7538:634 7533:633 7528:632 7523:631 7518:630 7505:629 7500:628 7495:627 7490:626 7485:625 7480:624 7475:623 7470:622 7465:621 7460:620 7447:619 7442:618 7437:617 7432:616 7427:615 7422:614 7417:613 7412:612 7407:611 7402:610 7389:609 7384:608 7379:607 7374:606 7369:605 7364:604 7359:603 7354:602 7349:601 7344:600 7314:599 7309:598 7304:597 7299:596 7294:595 7289:594 7284:593 7279:592 7274:591 7269:590 7256:589 7251:588 7246:587 7241:586 7236:585 7231:584 7226:583 7221:582 7216:581 7211:580 7198:579 7193:578 7188:577 7183:576 7178:575 7173:574 7168:573 7163:572 7158:571 7153:570 7140:569 7135:568 7130:567 7125:566 7120:565 7115:564 7110:563 7105:562 7100:561 7095:560 7082:559 7077:558 7072:557 7067:556 7062:555 7057:554 7052:553 7047:552 7042:551 7037:550 7024:549 7019:548 7014:547 7009:546 7004:545 6999:544 6994:543 6989:542 6984:541 6979:540 6966:539 6961:538 6956:537 6951:536 6946:535 6941:534 6936:533 6931:532 6926:531 6921:530 6908:529 6903:528 6898:527 6893:526 6888:525 6883:524 6878:523 6873:522 6868:521 6863:520 6850:519 6845:518 6840:517 6835:516 6830:515 6825:514 6820:513 6815:512 6810:511 6805:510 6792:509 6787:508 6782:507 6777:506 6772:505 6767:504 6762:503 6757:502 6752:501 6747:500 6717:499 6712:498 6707:497 6702:496 6697:495 6692:494 6687:493 6682:492 6677:491 6672:490 6659:489 6654:488 6649:487 6644:486 6639:485 6634:484 6629:483 6624:482 6619:481 6614:480 6601:479 6596:478 6591:477 6586:476 6581:475 6576:474 6571:473 6566:472 6561:471 6556:470 6543:469 6538:468 6533:467 6528:466 6523:465 6518:464 6513:463 6508:462 6503:461 6498:460 6485:459 6480:458 6475:457 6470:456 6465:455 6460:454 6455:453 6450:452 6445:451 6440:450 6427:449 6422:448 6417:447 6412:446 6407:445 6402:444 6397:443 6392:442 6387:441 6382:440 6369:439 6364:438 6359:437 6354:436 6349:435 6344:434 6339:433 6334:432 6329:431 6324:430 6311:429 6306:428 6301:427 6296:426 6291:425 6286:424 6281:423 6276:422 6271:421 6266:420 6253:419 6248:418 6243:417 6238:416 6233:415 6228:414 6223:413 6218:412 6213:411 6208:410 6195:409 6190:408 6185:407 6180:406 6175:405 6170:404 6165:403 6160:402 6155:401 6150:400 6120:399 6115:398 6110:397 6105:396 6100:395 6095:394 6090:393 6085:392 6080:391 6075:390 6062:389 6057:388 6052:387 6047:386 6042:385 6037:384 6032:383 6027:382 6022:381 6017:380 6004:379 5999:378 5994:377 5989:376 5984:375 5979:374 5974:373 5969:372 5964:371 5959:370 5946:369 5941:368 5936:367 5931:366 5926:365 5921:364 5916:363 5911:362 5906:361 5901:360 5888:359 5883:358 5878:357 5873:356 5868:355 5863:354 5858:353 5853:352 5848:351 5843:350 5830:349 5825:348 5820:347 5815:346 5810:345 5805:344 5800:343 5795:342 5790:341 5785:340 5772:339 5767:338 5762:337 5757:336 5752:335 5747:334 5742:333 5737:332 5732:331 5727:330 5714:329 5709:328 5704:327 5699:326 5694:325 5689:324 5684:323 5679:322 5674:321 5669:320 5656:319 5651:318 5646:317 5641:316 5636:315 5631:314 5626:313 5621:312 5616:311 5611:310 5598:309 5593:308 5588:307 5583:306 5578:305 5573:304 5568:303 5563:302 5558:301 5553:300 5523:299 5518:298 5513:297 5508:296 5503:295 5498:294 5493:293 5488:292 5483:291 5478:290 5465:289 5460:288 5455:287 5450:286 5445:285 5440:284 5435:283 5430:282 5425:281 5420:280 5407:279 5402:278 5397:277 5392:276 5387:275 5382:274 5377:273 5372:272 5367:271 5362:270 5349:269 5344:268 5339:267 5334:266 5329:265 5324:264 5319:263 5314:262 5309:261 5304:260 5291:259 5286:258 5281:257 5276:256 5271:255 5266:254 5261:253 5256:252 5251:251 5246:250 5233:249 5228:248 5223:247 5218:246 5213:245 5208:244 5203:243 5198:242 5193:241 5188:240 5175:239 5170:238 5165:237 5160:236 5155:235 5150:234 5145:233 5140:232 5135:231 5130:230 5117:229 5112:228 5107:227 5102:226 5097:225 5092:224 5087:223 5082:222 5077:221 5072:220 5059:219 5054:218 5049:217 5044:216 5039:215 5034:214 5029:213 5024:212 5019:211 5014:210 5001:209 4996:208 4991:207 4986:206 4981:205 4976:204 4971:203 4966:202 4961:201 4956:200 4926:199 4921:198 4916:197 4911:196 4906:195 4901:194 4896:193 4891:192 4886:191 4881:190 4868:189 4863:188 4858:187 4853:186 4848:185 4843:184 4838:183 4833:182 4828:181 4823:180 4810:179 4805:178 4800:177 4795:176 4790:175 4785:174 4780:173 4775:172 4770:171 4765:170 4752:169 4747:168 4742:167 4737:166 4732:165 4727:164 4722:163 4717:162 4712:161 4707:160 4694:159 4689:158 4684:157 4679:156 4674:155 4669:154 4664:153 4659:152 4654:151 4649:150 4636:149 4631:148 4626:147 4621:146 4616:145 4611:144 4606:143 4601:142 4596:141 4591:140 4578:139 4573:138 4568:137 4563:136 4558:135 4553:134 4548:133 4543:132 4538:131 4533:130 4520:129 4515:128 4510:127 4505:126 4500:125 4495:124 4490:123 4485:122 4480:121 4475:120 4462:119 4457:118 4452:117 4447:116 4442:115 4437:114 4432:113 4427:112 4422:111 4417:110 4404:109 4399:108 4394:107 4389:106 4384:105 4379:104 4374:103 4369:102 4364:101 4359:100 3565:doi 3538:JFM 3510:JFM 3482:doi 3390:doi 3378:127 3356:doi 3107:doi 2951:Zbl 2925:doi 2845:doi 2782:doi 2744:Zbl 2630:doi 2314:doi 1808:In 1805:). 1709:or 1672:or 1573:or 1302:one 1297:. 1283:One 1279:). 1253:One 1245:one 1210:One 1143:log 1134:is 958:set 858:), 702:or 698:of 664:one 507:一/壱 481:Ani 210:1st 200:one 18:One 10233:: 10008:, 9984:, 9955:, 9951:, 9937:, 9933:, 9929:, 9925:, 4329:99 4324:98 4319:97 4314:96 4309:95 4304:94 4299:93 4294:92 4289:91 4284:90 4271:89 4266:88 4261:87 4256:86 4251:85 4246:84 4241:83 4236:82 4231:81 4226:80 4213:79 4208:78 4203:77 4198:76 4193:75 4188:74 4183:73 4178:72 4173:71 4168:70 4155:69 4150:68 4145:67 4140:66 4135:65 4130:64 4125:63 4120:62 4115:61 4110:60 4097:59 4092:58 4087:57 4082:56 4077:55 4072:54 4067:53 4062:52 4057:51 4052:50 4039:49 4034:48 4029:47 4024:46 4019:45 4014:44 4009:43 4004:42 3999:41 3994:40 3981:39 3976:38 3971:37 3966:36 3961:35 3956:34 3951:33 3946:32 3941:31 3936:30 3923:29 3918:28 3913:27 3908:26 3903:25 3898:24 3893:23 3888:22 3883:21 3878:20 3865:19 3860:18 3855:17 3850:16 3845:15 3840:14 3835:13 3830:12 3825:11 3820:10 3736:-1 3724:0s 3634:. 3579:. 3571:. 3561:87 3559:. 3553:. 3478:31 3476:. 3461:MR 3459:. 3406:MR 3404:. 3396:. 3350:. 3346:. 3329:. 3274:. 3250:; 3215:. 3181:MR 3179:. 3125:MR 3123:. 3113:. 3101:. 3097:. 3073:. 3069:: 3028:; 3024:; 2949:. 2943:MR 2941:. 2931:. 2909:; 2851:. 2788:. 2742:. 2736:MR 2725:15 2723:. 2717:. 2644:. 2636:. 2626:10 2624:. 2620:. 2596:^ 2396:. 2372:. 2310:14 2308:. 2304:. 2244:^ 2215:. 2211:. 2121:. 1966:^ 1912:−1 1864:. 1699:0s 1456:c. 1449:c. 1417:c. 1380:, 1376:, 1364:, 1360:, 1320:, 1218:an 1147:10 941:. 749:, 678:, 670:, 666:, 630:𓏤 623:, 619:, 611:𒐕 408:, 404:, 400:, 396:, 388:α' 377:16 364:12 256:Α´ 185:90 182:80 179:70 176:60 173:50 170:40 167:30 164:20 161:10 101:−1 10093:) 10089:( 10042:0 10012:) 10004:( 9998:) 9994:( 9988:) 9980:( 9959:) 9947:( 9941:) 9921:( 9897:e 9890:t 9883:v 9720:≥ 3806:9 3799:8 3792:7 3785:6 3778:5 3771:4 3764:3 3757:2 3750:1 3743:0 3703:e 3696:t 3689:v 3674:. 3644:. 3625:. 3606:. 3587:. 3567:: 3544:. 3516:. 3488:. 3484:: 3467:. 3431:. 3412:. 3392:: 3362:. 3358:: 3352:1 3337:. 3301:. 3282:. 3242:. 3223:. 3187:. 3152:. 3150:. 3131:. 3109:: 3083:. 3048:. 3016:. 2995:. 2976:. 2957:. 2927:: 2901:. 2882:. 2861:. 2847:: 2830:. 2798:. 2784:: 2769:. 2750:. 2708:. 2656:. 2632:: 2606:. 2591:. 2382:. 2322:. 2316:: 2226:. 2136:. 2096:. 2036:. 1793:x 1790:f 1787:= 1784:x 1781:f 1761:x 1741:f 1674:J 1670:j 1666:i 1661:i 1651:j 1642:J 1627:I 1623:l 1614:I 1605:I 1601:I 1498:一 1494:I 1177:) 1172:d 1168:1 1165:+ 1162:d 1156:( 1122:d 1079:) 1076:G 1073:( 977:} 974:0 971:{ 913:1 910:= 907:! 904:1 896:( 880:1 877:= 872:1 862:( 846:1 843:= 838:2 834:1 825:( 809:n 806:= 803:1 797:n 794:= 791:n 785:1 765:n 662:( 660:1 641:• 600:೧ 588:௧ 576:๑ 564:꯱ 553:൧ 543:Ա 532:១ 519:೧ 495:א 483:) 479:( 465:፩ 453:१ 431:১ 415:١ 375:1 362:1 351:8 349:1 338:6 336:1 325:3 323:1 312:2 310:1 282:/ 246:1 235:∅ 188:→ 158:0 155:← 134:→ 131:9 128:8 125:7 122:6 119:5 116:4 113:3 110:2 107:1 104:0 85:1 65:. 55:. 20:)

Index

One
AD 1
One (disambiguation)
Number One (disambiguation)
special characters
rendering support
question marks, boxes, or other symbols
← 0
2 →
−1
0
1
2
3
4
5
6
7
8
9

List of numbers
Integers

0
10
20
30
40
50

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.