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Alexander Wylie, Christian missionary to China, in 1853 already refuted the notion that "the Chinese numbers were written in words at length", and stated that in ancient China, calculation was carried out by means of counting rods, and "the written character is evidently a rude presentation of these". After being introduced to the rod numerals ...
Christopher Cullen: The Suan shu shu Writings on reckoning, Needham Research Institute, pdf free download ; Cullen, Christopher (2007). "The Suàn shù shū, "Writings on reckoning": Rewriting the history of early Chinese mathematics in the light of an excavated manuscript". Historia Mathematica. 34: 10– 44. doi: 10.1016/j.hm.2005.11.006.
Counting rods (筭) are small bars, typically 3–14 cm (1" to 6") long, that were used by mathematicians for calculation in ancient East Asia.They are placed either horizontally or vertically to represent any integer or rational number.
As a result of obvious linguistic and geographic barriers, as well as content, Chinese mathematics and the mathematics of the ancient Mediterranean world are presumed to have developed more or less independently up to the time when The Nine Chapters on the Mathematical Art reached its final form, while the Book on Numbers and Computation and ...
Within the counting system used with most discrete objects (including animals like sheep), there was a token for one item (units), a different token for ten items (tens), a different token for six tens (sixties), etc. Tokens of different sizes and shapes were used to record higher groups of ten or six in a sexagesimal number system.
The Suzhou numerals, also known as Sūzhōu mǎzi (蘇州碼子), is a numeral system used in China before the introduction of Hindu numerals.The Suzhou numerals are also known as Soochow numerals, [1] ma‑tzu, [2] huāmǎ (花碼), [3] [better source needed] cǎomǎ (草碼), [3] [better source needed] jīngzǐmǎ (菁仔碼), [3] [better source needed] fānzǐmǎ (番仔碼) [3] [better ...
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An abacus (pl. abaci or abacuses), also called a counting frame, is a hand-operated calculating tool which was used from ancient times in the ancient Near East, Europe, China, and Russia, until the adoption of the Hindu–Arabic numeral system. [1] An abacus consists of a two-dimensional array of slidable beads (or similar objects). In their ...