Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
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- usage examples (several phrases with translation)
- etymology
cash mashine - translation to greek
![National Cash Register]] expressly built for a merchant in [[Nové Město nad Metují]], Austro-Hungary, 1904](https://commons.wikimedia.org/wiki/Special:FilePath/Cash register, built 1904 in Ohio.jpg?width=200 "National Cash Register]] expressly built for a merchant in [[Nové Město nad Metují]], Austro-Hungary, 1904")
![Self-checkout machine at [[Home Depot]] store, Pin Oak, [[Houston]], [[Texas]]](https://commons.wikimedia.org/wiki/Special:FilePath/HomeDepotPinOakHoustonselfcheckout.jpg?width=200 "Self-checkout machine at [[Home Depot]] store, Pin Oak, [[Houston]], [[Texas]]")
![Modern point-of-sale system with stationary barcode scanner below the monitor, installed at [[NSK Trade City]] branch in [[Kota Damansara]], [[Malaysia]].](https://commons.wikimedia.org/wiki/Special:FilePath/NSK Trade City Kota Damansara - Cashier Counter.jpg?width=200 "Modern point-of-sale system with stationary barcode scanner below the monitor, installed at [[NSK Trade City]] branch in [[Kota Damansara]], [[Malaysia]].")
![[[National Cash Register]]](https://commons.wikimedia.org/wiki/Special:FilePath/NationalCashRegister.jpg?width=200 "[[National Cash Register]]")
![Surrey]] Museum, [[British Columbia]], Canada](https://commons.wikimedia.org/wiki/Special:FilePath/Old Cdn general store register.jpg?width=200 "Surrey]] Museum, [[British Columbia]], Canada")
![Cash register in a store in [[Severodvinsk]], [[Russia]], 2009](https://commons.wikimedia.org/wiki/Special:FilePath/Уголок покупателя в магазине (cropped).JPG?width=200 "Cash register in a store in [[Severodvinsk]], [[Russia]], 2009")
Definition
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.
