Нохчийн маттахь терхьаш: различия между версиями

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|+ Glyphs used to represent digits of the Hindu–Arabic numeral system.
|+ Глифы, используемые для обозначения цифр индийско-арабской системы счисления.
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|European <small>(descended from the West Arabic)</small>
|European <small>(descended from the West Arabic)</small>
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The first true written [[positional numeral system]] is considered to be the [[Hindu–Arabic numeral system]]. This system was established by the 7th&nbsp;century in India,<ref name="O'Connor and Robertson">O'Connor, J. J. and Robertson, E. F. [http://www-history.mcs.st-andrews.ac.uk/HistTopics/Arabic_numerals.html Arabic Numerals]. January 2001. Retrieved on 2007-02-20.</ref> but was not yet in its modern form because the use of the digit [[zero]] had not yet been widely accepted. Instead of a zero sometimes the digits were marked with dots to indicate their significance, or a space was used as a placeholder. The first widely acknowledged use of zero was in 876.<ref>{{cite web|url=https://www.ams.org/featurecolumn/archive/india-zero.html |title=All for Nought |work=Feature Column |author=Bill Casselman |author-link=Bill Casselman (mathematician) |publisher=AMS |date=February 2007}}</ref> The original numerals were very similar to the modern ones, even down to the [[glyph]]s used to represent digits.<ref name="O'Connor and Robertson"/>
The first true written positional numeral system is considered to be the Hindu–Arabic numeral system. This system was established by the 7th&nbsp;century in India,<ref name="O'Connor and Robertson">O'Connor, J. J. and Robertson, E. F. Arabic Numerals. January 2001. Retrieved on 2007-02-20.</ref> but was not yet in its modern form because the use of the digit zero had not yet been widely accepted. Instead of a zero sometimes the digits were marked with dots to indicate their significance, or a space was used as a placeholder. The first widely acknowledged use of zero was in 876.


[[Image:Maya.svg|thumb|left|150px|The digits of the Maya numeral system]]
[[Image:Maya.svg|thumb|left|150px|The digits of the Maya numeral system]]
By the 13th century, [[Western Arabic numerals]] were accepted in European mathematical circles ([[Fibonacci]] used them in his ''[[Liber Abaci]]''). They began to enter common use in the 15th&nbsp;century.<ref>{{Cite web|last=Bradley|first=Jeremy|title=How Arabic Numbers Were Invented|url=https://www.theclassroom.com/how-to-identify-numbers-on-brass-from-india-12082499.html|access-date=2020-07-22|website=www.theclassroom.com}}</ref> By the end of the 20th&nbsp;century virtually all non-computerized calculations in the world were done with Arabic numerals, which have replaced native numeral systems in most cultures.
By the 13th century, Western Arabic numerals were accepted in European mathematical circles (Fibonacci used them in his ''Liber Abaci''). They began to enter common use in the 15th&nbsp;century. By the end of the 20th&nbsp;century virtually all non-computerized calculations in the world were done with Arabic numerals, which have replaced native numeral systems in most cultures.


===Other historical numeral systems using digits===
===Other historical numeral systems using digits===
The exact age of the [[Maya numerals]] is unclear, but it is possible that it is older than the Hindu–Arabic system. The system was [[vigesimal]] (base&nbsp;20), so it has twenty digits. The Mayas used a shell symbol to represent zero. Numerals were written vertically, with the ones place at the bottom. The [[Mayas]] had no equivalent of the modern [[decimal separator]], so their system could not represent fractions.
The exact age of the Maya numerals is unclear, but it is possible that it is older than the Hindu–Arabic system. The system was vigesimal (base&nbsp;20), so it has twenty digits. The Mayas used a shell symbol to represent zero. Numerals were written vertically, with the ones place at the bottom. The Mayas had no equivalent of the modern decimal separator, so their system could not represent fractions.


The [[Thai numerals|Thai numeral system]] is identical to the [[Hindu–Arabic numeral system]] except for the symbols used to represent digits. The use of these digits is less common in [[Thailand]] than it once was, but they are still used alongside Arabic numerals.
The Thai numeral system is identical to the Hindu–Arabic numeral system except for the symbols used to represent digits. The use of these digits is less common in Thailand than it once was, but they are still used alongside Arabic numerals.


The rod numerals, the written forms of [[counting rods]] once used by [[China|Chinese]] and [[Japan]]ese mathematicians, are a decimal positional system able to represent not only zero but also negative numbers. Counting rods themselves predate the Hindu–Arabic numeral system. The [[Chinese numerals#Suzhou numerals|Suzhou numerals]] are variants of rod numerals.
The rod numerals, the written forms of counting rods once used by Chinese and Japanese mathematicians, are a decimal positional system able to represent not only zero but also negative numbers. Counting rods themselves predate the Hindu–Arabic numeral system. The Suzhou numerals are variants of rod numerals.


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