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Rod calculus information


Rod calculus or rod calculation was the mechanical method of algorithmic computation with counting rods in China from the Warring States to Ming dynasty before the counting rods were increasingly replaced by the more convenient and faster abacus. Rod calculus played a key role in the development of Chinese mathematics to its height in Song Dynasty and Yuan Dynasty, culminating in the invention of polynomial equations of up to four unknowns in the work of Zhu Shijie.

Japanese counting board with grids
Rod calculus facsimile from the Yongle encyclopedia

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Rod calculus

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Rod calculus or rod calculation was the mechanical method of algorithmic computation with counting rods in China from the Warring States to Ming dynasty...

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Counting rods

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method for using counting rods for mathematical calculation was called rod calculation or rod calculus (筹算). Rod calculus can be used for a wide range...

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Differential calculus

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differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the...

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Principles of Hindu Reckoning

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drawn on sand board remained in place from beginning to end, while in rod calculus, rods from lower rows were physically removed and add to upper row, digit...

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Chinese mathematics

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decimal system and used on a counting board with a set of counting rods called rod calculus, consisting of only nine symbols with a blank space on the counting...

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Decimal

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000. The world's earliest positional decimal system was the Chinese rod calculus. Starting from the 2nd century BCE, some Chinese units for length were...

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Multiplication

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written out in words, although the early Chinese mathematicians employed Rod calculus involving place value addition, subtraction, multiplication, and division...

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Numerical digit

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began with the wide use of counting rods in China. The earliest written positional records seem to be rod calculus results in China around 400. Zero was...

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Chinese multiplication table

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The Chinese multiplication table is the first requisite for using the Rod calculus for carrying out multiplication, division, the extraction of square roots...

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Dowsing

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Ralph Whitlock Professor Calculus Wikisource has the text of the 1905 New International Encyclopedia article "Divining-rod". Alpha 6 (device) Automatic...

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Timeline of mathematics

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theorem is developed by Sun Tzu. 300 to 500 – China, a description of rod calculus is written by Sun Tzu. 412 – 485 – Greece, Proclus 420 – 480 – Greece...

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Kidney stone disease

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known as renal calculus disease, nephrolithiasis or urolithiasis, is a crystallopathy where a solid piece of material (renal calculus) develops in the...

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Mathematical Treatise in Nine Sections

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Qin Jiushao solved third order equation with rod calculus...

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Haidao Suanjing

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1 chi = 10 cun. Calculation was carried out with place value decimal Rod calculus. Liu Hui used his rectangle in right angle triangle theorem as the mathematical...

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Piston motion equations

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derived using calculus as functions of angle (angle domain) and of time (time domain). The geometry of the system consisting of the piston, rod and crank...

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Mathematics

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and the manipulation of formulas. Calculus, consisting of the two subfields differential calculus and integral calculus, is the study of continuous functions...

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Dennis Skinner

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2015". Electoral Calculus. Archived from the original on 17 October 2015. Retrieved 17 October 2015. "Election Data 2010". Electoral Calculus. Archived from...

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Ropelength

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"Global curvature and self-contact of nonlinearly elastic curves and rods", Calculus of Variations and Partial Differential Equations, 14 (1): 29–68, doi:10...

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History of mathematics

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the concepts now known as calculus. Independently, Gottfried Wilhelm Leibniz, developed calculus and much of the calculus notation still in use today...

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Canonical form

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reduction is possible; lambda calculus is a particular case of an abstract rewriting system. In the untyped lambda calculus, for example, the term ( λ x...

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Rod Melvin

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Whistling Calculus for Tax Purposes (TV Series) (1989) "Brian Eno is MORE DARK THAN SHARK". Moredarkthanshark.org. Retrieved 13 February 2021. "Rod Melvin"...

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Method of analytic tableaux

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properties a tableau calculus may or may not possess are completeness, destructiveness, and proof confluence. A tableau calculus is called complete if...

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Ouroboros

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of the worm ouroboros embedded in a mathematical, non-numerical calculus". The calculus derives from the confluence of the cybernetic logic of feedback...

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Indian mathematics

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century CE. Their work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power...

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