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What (who) is cash mashine - definition
![Three different cash coins from the [[Northern Song dynasty]], the first coin reads clockwise while the others read top-bottom-right-left, the first and second coins are written in [[Regular script]] while the third coin is written in [[Seal script]].](https://commons.wikimedia.org/wiki/Special:FilePath/3 different types of Northern Song dynasty coins.jpg?width=200 "Three different cash coins from the [[Northern Song dynasty]], the first coin reads clockwise while the others read top-bottom-right-left, the first and second coins are written in [[Regular script]] while the third coin is written in [[Seal script]].")
![Aksu]] mint under the reign of the [[Daoguang Emperor]]](https://commons.wikimedia.org/wiki/Special:FilePath/Aksu mint "Red Cash" mint marks ᠠᡴᠰᡠ & ئاقسۇ.png?width=200 "Aksu]] mint under the reign of the [[Daoguang Emperor]]")
![Hoàng Mai District]], [[Hanoi]], Vietnam](https://commons.wikimedia.org/wiki/Special:FilePath/Cash coin compared to the logo of Agriseco.jpg?width=200 "Hoàng Mai District]], [[Hanoi]], Vietnam")
.jpg?width=200 "Cash coins minted between 330 BC and 1912 AD.")
 - Iron - Scott Semans.jpg?width=200 "75px")
 - Boo Guwang (ᠪᠣᠣ ᡤᡠᠸᠠᠩ) Guangzhou Mint - Machine-struck 07.jpg?width=200 "Machine-struck cash coins issued under the Guangxu Emperor in Guangzhou, Guangdong.")
 - Scott Semans.jpg?width=200 "75px")
![Chinese history]].](https://commons.wikimedia.org/wiki/Special:FilePath/Minkuo Tungpao (David Hartill 431.23.7).png?width=200 "Chinese history]].")
![coins]], the mould was used during the [[Warring States]] period (475–221 BC) by the State of Qin, from an excavation in [[Qishan County]], [[Baoji]], [[Shaanxi province]].](https://commons.wikimedia.org/wiki/Special:FilePath/Mold for making banliang coins.jpg?width=200 "coins]], the mould was used during the [[Warring States]] period (475–221 BC) by the State of Qin, from an excavation in [[Qishan County]], [[Baoji]], [[Shaanxi province]].")
.jpg?width=200 "A Yuan Feng Tong Bao (元豐通寶) from the Northern Song dynasty with a \"flower (or 'rosette') hole\" in the middle")
![A [[Sichuan]]ese man carrying 13,500 cash coins in strings on his shoulders (1917).](https://commons.wikimedia.org/wiki/Special:FilePath/為1917年，一位男子脖子上掛著13,500個銅板。 銅錢貶值，物價上漲，購物時不得不背上幾十斤重的銅錢串。(Coloured).jpg?width=200 "A [[Sichuan]]ese man carrying 13,500 cash coins in strings on his shoulders (1917).")
Wikipedia
In numerical analysis, the Cash–Karp method is a method for solving ordinary differential equations (ODEs). It was proposed by Professor Jeff R. Cash from Imperial College London and Alan H. Karp from IBM Scientific Center. The method is a member of the Runge–Kutta family of ODE solvers. More specifically, it uses six function evaluations to calculate fourth- and fifth-order accurate solutions. The difference between these solutions is then taken to be the error of the (fourth order) solution. This error estimate is very convenient for adaptive stepsize integration algorithms. Other similar integration methods are Fehlberg (RKF) and Dormand–Prince (RKDP).
The Butcher tableau is:
The first row of b coefficients gives the fifth-order accurate solution, and the second row gives the fourth-order solution.
