Category Archives: Casio fx-9860GII

Simplex Algorithm on the Casio 9860GII

With matrix capable calculator, simplex algorithm for common maximization problem can be solved easily like in the TI-84.

The Casio 9860GII is also equipped with equivalent matrix operations to solve the same problem.

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casiosimplex2

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Overclocking Casio fx-9860gII to the max with portable power bank

As discovered previously the overclocking program ftune performed better when USB cable is plugged in, it was not sure back then whether the data link or the extra power supply contributed to the performance boost. It is now confirmed power supply alone will do the trick.

The test is carried out using a Casio Basic program running a parameter searching for a logistic regression equation using the Nelder-Mead algorithm. A portable power bank is plugged to the USB port of the Casio fx-9860gII with ftune.

The tested portable USB power bank comes with 4000mAh capacity and 1A output, and is fully charged. There are 4 blue LED indicator lights.
casiousbpoweroverclock1

The power bank is turned on.
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The test result shown that the program run with power bank finished in 46 seconds, and the one without finished in 93 seconds.

Using program in Casio fx-9860Gii for matrix operation

To implement the Wald test as previously done in the TI Nspire CX CAS on the Casio 9860, some programming can help achieve building the matrices more easily. In the Casio Basic, list and matrix are accessed in index and by looping through for loops, values from formula calculation can be assigned. This result in the same matrix constructed in using the constructMat() function in the Nspire.

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The rest of calculations are the same.

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Solver behaviour on HP Prime, 50g, 39gII, TI Nspire CX CAS, and Casio fx-9860GII

On comparing the differences in behavior of TVM calculations, the solver of HP Prime is the only calculator able to return, without any initial guess input, the approximate value of number of period in a peculiar form of future value finding equation, although with not small of an error of about 13%.

Edit: Added results from 50g and 39gII emulator, they both returned the same result (but not the same as the Prime) without being given any hints.

HP Prime:
penny-prime

HP 50g
penny-hp50g

HP39gII
penny-hp39giipenny-hp39gii2

TI Nspire: penny-nspire2

Casio fx-9860GII:
penny-casio1 penny-casio2

The original problem is from an classic HP calculator manual published in 1982. The problem goes like this (example 2 on page 145): If an employee is paid $0.01 every second, with an interest rate of 11.25% compounded every second, what will she get after a year? In the original document, this problem is used to illustrate the limitations numerical accuracy. Detailed explanation and workarounds can be found in the original document.