Pandigital e

[Paul Dale]

This video presents a lovely pandigital approximation for Euler's e:






Pauli

[Gerson W. Barbosa]

Speaking of pandigital approximations,

Happy '5*EXP(6)-INV(LN(1039-EXP(-LN(2^(7-√4+8)))))' !

Not so lovely, but this should evaluate (almost) nicely on the wp34s (DBLOFF).

Gerson.

[Paul Dale]

I've got a nice one that doesn't use any digits:

π →HR TANH TAN⁻¹ x²

Degrees mode only. Use FIX 0 or add an IP to the end.


Pauli

[Gerson W. Barbosa]

Not so accurate, but digits 1 through 9 in order (well, sort of):

'EXP(EXP(EXP(EXP(-.345678912))))-INV(π)+INV(π^π+INV(π)+e)+(π^π)^-π'

[Paul Dale]

Okay, I'll use two sequential digits:

\( \lfloor 5 e^6 \rfloor \)

[Paul Dale]

Or just unity but two levels of exponents:

\( \lfloor e^{10^{SINH^{-1}1}} \rfloor \)

[Gerson W. Barbosa]

(01-01-2017 08:43 AM)Paul Dale Wrote:  Or just unity but two levels of exponents:

\( \lfloor e^{10^{SINH^{-1}1}} \rfloor \)

Nice one-digit one! I still can't make it without all ten of them, though:

\(\lfloor 6.538472901! \rfloor \)

[Paul Dale]

(01-01-2017 10:44 AM)Gerson W. Barbosa Wrote:  \(\lfloor 6.538472901! \rfloor \)

You don't need the 01 at the end


Pauli

[Gerson W. Barbosa]

Or without all ten of them, twice:

'6.538472901!-EXP(-6.978245310)'

[Gerson W. Barbosa]

(01-01-2017 11:03 AM)Paul Dale Wrote:  

(01-01-2017 10:44 AM)Gerson W. Barbosa Wrote:  \(\lfloor 6.538472901! \rfloor \)

You don't need the 01 at the end


Pauli

I know, but the family gathering would not be complete without the patriarchs :-)