Fooling the CASIO ClassWiz fx991LA X

05142017, 10:41 PM
Post: #1




Fooling the CASIO ClassWiz fx991LA X
\(\frac{\rm{e}^{\frac{23}{4}{\left({\left(\frac{40}{211}\right)}^{2}+100\right)}^{2}}}{100}\) \[\rm{\pi}\] ;) 

05152017, 01:23 AM
Post: #2




RE: Fooling the CASIO ClassWiz fx991LA X
Great approximation! Fooled my fx991EX as well. My Prime shows the approximation departs from pi by <1 part in 10^12.


05152017, 01:32 AM
Post: #3




RE: Fooling the CASIO ClassWiz fx991LA X
In double precision mode, the approximation varies from pi by~8.21*10^14 on my WP 34S


05152017, 01:33 AM
(This post was last modified: 05152017 01:35 AM by Paul Dale.)
Post: #4




RE: Fooling the CASIO ClassWiz fx991LA X
Very nice approximation correct to fourteen digits!
Code: 3.1415926535897111461 The second is π. Pauli 

05152017, 02:58 AM
(This post was last modified: 05152017 02:59 AM by Gerson W. Barbosa.)
Post: #5




RE: Fooling the CASIO ClassWiz fx991LA X
(05152017 01:23 AM)lrdheat Wrote: Great approximation! Fooled my fx991EX as well. My Prime shows the approximation departs from pi by <1 part in 10^12. This will almost fit the fx991ES screen: \(\frac{1501}{150115}\rm{e}^{\frac{23}{4}}\) No fooling this time, though: \(3.141592653\) "http://wes.casio.com/math/index.php?q=I273A+U0005000CC3F8+MC10000AD00+S090410100000100E1210B00051DA+R0314159265289162010000000000000000000000+EC81D1A313530311B1A3135303131351B1E721AC81D1A32331B1A341B1E1B" 

05152017, 04:14 AM
(This post was last modified: 05152017 12:23 PM by Gerson W. Barbosa.)
Post: #6




RE: Fooling the CASIO ClassWiz fx991LA X
(05152017 01:33 AM)Paul Dale Wrote: Very nice approximation correct to fourteen digits! Notice \(ln(100\pi)=5.749900072\) is close to 23/4 (but not close enough). I like the following better, found with help of HP32SII 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=I273A+U0005000CC3F8+MC10000AD00+S090410100000100E1210B00051DA+R0314159265376844010000000000000000000000+E75C81D1A313675383738D01B1A75313675383738D0D01B1ED0" 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. 

« Next Oldest  Next Newest »

User(s) browsing this thread: 1 Guest(s)