Happy New Year!

[Eddie W. Shore]

Happy sqrt(4000000) + 6*3 !!!

[salvomic]

(12-31-2017 03:38 PM)Eddie W. Shore Wrote:  Happy sqrt(4000000) + 6*3 !!!

Happy New Year!
XEQ "date"


Enjoy HP Museum also in 2018.

Salvo

[pier4r]

Happy new year! 2017 for me me was, well, for something not bad (we got listExt!), for something else not good.

Of the myriads of problems that one can create out of any number, I cannot think of one! Damn me!

Ah no, found one (maybe).

sqrt(2018) . Find a fraction that better approximates this number. Where better: the smallest |x-sqrt(2018)|.
Caveat: Only 10 digits (even repeated) to share among all the numbers!

For example 355/113 is an approximation of PI and uses 6 digits.

Please share your result (and program/procedure) with spoilers. Like

Code:


This is a way to write spoilers











here the real message. An hug for all of you!

2nd little problem.

Take the factors of 2018, apply the square root on each of them, sum the square roots. Then you have a number. Approximate even this number with a fraction. Max 10 digits as well.

[Gerson W. Barbosa]

Happy (┫ ▍ ▍ ▍  ▍┣)₃₆

[Joe Horn]

(12-31-2017 04:19 PM)pier4r Wrote:  sqrt(2018) . Find a fraction that better approximates this number. Where better: the smallest |x-sqrt(2018)|.
Caveat: Only 10 digits (even repeated) to share among all the numbers!
Please share your result (and program/procedure) with spoilers. ...
2nd little problem.
Take the factors of 2018, apply the square root on each of them, sum the square roots. Then you have a number. Approximate even this number with a fraction. Max 10 digits as well.

Here are the 10-total-digits "best fractions" returned by the PDQ program.

Code:

[scroll down...]












sqrt(2018) --> 333547/7425
sqrt(2)+sqrt(1009) --> 223759/6744

[Massimo Gnerucci]

Buon anno, amici!

[pier4r]

So far manually I did not get past 44922/1000 , I need to improve my searching algorithm because I cannot do too many steps like a calculator.

[badaze]

Bonne année à toutes et tous !

[TheKaneB]

Happy new year!

Buon anno nuovo

Cheers!

[Craig Bladow]

See my avatar

[Gamo]

Hello everyone here....wish you all very good Happy New Year of 2018.

Gamo

[Geoff Quickfall]

Happy new 7e8, oops typo: 7e2

[salvomic]

To everybody Happy LN(2.751147232)!

[Thomas Radtke]

Ein frohes neues Jahr!

[Arno K]

I wish you a happy new year

[aurelio]

Felice anno nuovo, dear friends
Happy new year!

[Joe Horn]

(01-01-2018 01:18 AM)pier4r Wrote:  So far manually I did not get past 44922/1000 , I need to improve my searching algorithm because I cannot too many steps like a calculator.

Try using the tiny HP 48 programs called "SETUP" and "ITER8" in this posting. They will quickly find you the fractions you seek.

[Giancarlo]

Auguri a tutti per un felice 2018!

Giancarlo