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+--- Thread: Fooling the CASIO ClassWiz fx-991LA X (/thread-8347.html)
Fooling the CASIO ClassWiz fx-991LA X - Gerson W. Barbosa - 05-14-2017 10:41 PM
![[Image: 34531773561_d7f18f5659_b.jpg]](https://c1.staticflickr.com/5/4170/34531773561_d7f18f5659_b.jpg)
\(\frac{\rm{e}^{\frac{23}{4}-{\left({\left(\frac{40}{211}\right)}^{2}+100\right)}^{-2}}}{100}\)
\[\rm{\pi}\]
;-)
RE: Fooling the CASIO ClassWiz fx-991LA X - lrdheat - 05-15-2017 01:23 AM
Great approximation! Fooled my fx-991EX as well. My Prime shows the approximation departs from pi by <1 part in 10^-12.
RE: Fooling the CASIO ClassWiz fx-991LA X - lrdheat - 05-15-2017 01:32 AM
In double precision mode, the approximation varies from pi by~8.21*10^-14 on my WP 34S
RE: Fooling the CASIO ClassWiz fx-991LA X - Paul Dale - 05-15-2017 01:33 AM
Very nice approximation correct to fourteen digits!
Code:
3.1415926535897111461
3.1415926535897932384
^^^^^^The second is π.
Pauli
RE: Fooling the CASIO ClassWiz fx-991LA X - Gerson W. Barbosa - 05-15-2017 02:58 AM
(05-15-2017 01:23 AM)lrdheat Wrote: Great approximation! Fooled my fx-991EX as well. My Prime shows the approximation departs from pi by <1 part in 10^-12.
This will almost fit the fx-991ES screen:
\(\frac{1501}{150115}\rm{e}^{\frac{23}{4}}\)
No fooling this time, though:
\(3.141592653\)
"http://wes.casio.com/math/index.php?q=I-273A+U-0005000CC3F8+M-C10000AD00+S-090410100000100E1210B00051DA+R-0314159265289162010000000000000000000000+E-C81D1A313530311B1A3135303131351B1E721AC81D1A32331B1A341B1E1B"
RE: Fooling the CASIO ClassWiz fx-991LA X - Gerson W. Barbosa - 05-15-2017 04:14 AM
(05-15-2017 01:33 AM)Paul Dale Wrote: Very nice approximation correct to fourteen digits!
Code:
3.1415926535897111461
3.1415926535897932384
^^^^^^
The second is π.
Pauli
Notice \(ln(100\pi)=5.749900072\) is close to 23/4 (but not close enough).
I like the following better, found with help of HP-32SII solver:
\(\ln\left(\frac{16\ln\left(878\right)}{\ln\left(16\ln\left(878\right)\right)}\right)\)
"http://wes.casio.com/math/index.php?q=I-273A+U-0005000CC3F8+M-C10000AD00+S-090410100000100E1210B00051DA+R-0314159265376844010000000000000000000000+E-75C81D1A313675383738D01B1A75313675383738D0D01B1ED0"
![[Image: 34504551052_f2a4143163_b.jpg]](https://c1.staticflickr.com/5/4155/34504551052_f2a4143163_b.jpg)
Five digits reused once yielding 10 correct digits.
Gerson.
Edited. Trouble with LATEX here on Chrome, so I've added a picture. Also, I cannot link the CASIO WES website here, the address between quotes above.