Senior Membership

[Jlouis]

(03-10-2015 08:23 PM)Gerson W. Barbosa Wrote:  

(03-10-2015 04:27 PM)Dave Frederickson Wrote:  We can refer to you as member 2^10. Then you'd be a numerical expression.

In case he doesn't like that simple expression, I would suggest him a slightly more complicated one:

\[326\pi-\frac{1}{2}\left ( \frac{1}{\pi }+\frac{5}{\left \{\sqrt{5}\left [90+\pi ^{2}+\frac{1}{25\left ( 10+\frac{\pi }{2} \right )} \right ] \right \}^{2}}\right )\]


To be evaluated on the WP 34S (DBLOFF)

Is there any problem if I evaluate it on my 35s?

P.S.1: I will be there (300 posts)

P.S.2: This forum is super!

[Tim Wessman]

(03-10-2015 06:48 PM)Thomas Radtke Wrote:  When to expect a new (unlimited) 15C?

:-D

Quote:Hope you're not offended by my comments. It's just a little sad to no longer be part of the target audience.

Nope. Wouldn't offend me at all. Remember, I am part of same target audience you are!

[Thomas Klemm]

(03-10-2015 08:23 PM)Gerson W. Barbosa Wrote:  \[326\pi-\frac{1}{2}\left ( \frac{1}{\pi }+\frac{5}{\left \{\sqrt{5}\left [90+\pi ^{2}+\frac{1}{25\left ( 10+\frac{\pi }{2} \right )} \right ] \right \}^{2}}\right )\]


To be evaluated on the WP 34S (DBLOFF)

Decimal approximation:
1023.999999999999969568429914182926524199798561060229127778180855764703769235260​62819149347457416711410511991736180529051...

[Gerson W. Barbosa]

(03-10-2015 08:51 PM)Jlouis Wrote:  

(03-10-2015 08:23 PM)Gerson W. Barbosa Wrote:  In case he doesn't like that simple expression, I would suggest him a slightly more complicated one:

\[326\pi-\frac{1}{2}\left ( \frac{1}{\pi }+\frac{5}{\left \{\sqrt{5}\left [90+\pi ^{2}+\frac{1}{25\left ( 10+\frac{\pi }{2} \right )} \right ] \right \}^{2}}\right )\]


To be evaluated on the WP 34S (DBLOFF)

Is there any problem if I evaluate it on my 35s?

P.S.1: I will be there (300 posts)

P.S.2: This forum is super!

Nenhum problema!
No problem! I just thought 1 024.000 000 000 000 on the WP 34S would look nicer than 1 024.000 000 00 on the HP-35S. :-)
Notice 326 = 2*163 and 163*pi = 512 + 1/(4*pi). From here, not too difficult to improve the near-integer result.

56 posts and counting. You'll get there!

Really super!, I agree.

Gerson.

[Jlouis]

(03-10-2015 11:27 PM)Gerson W. Barbosa Wrote:  

(03-10-2015 08:51 PM)Jlouis Wrote:  Is there any problem if I evaluate it on my 35s?

P.S.1: I will be there (300 posts)

P.S.2: This forum is super!

Nenhum problema!
No problem! I just thought 1 024.000 000 000 000 on the WP 34S would look nicer than 1 024.000 000 00 on the HP-35S. :-)
Notice 326 = 2*163 and 163*pi = 512 + 1/(4*pi). From here, not too difficult to improve the near-integer result.

56 posts and counting. You'll get there!

Really super!, I agree.

Gerson.

Obrigado, Gerson.

I thought that the reason could be the 35s bugs.

I have a WP34s on a IPad, but I really like to press real buttons.

I'm planning to buy one from Eric soon, as I don't have the skills to flash one.

Grande abraço.

[rprosperi]

(03-10-2015 06:48 PM)Thomas Radtke Wrote:  It's just a little sad to no longer be part of the target audience.

Yeah, that really captures a lot of the emotion many of us have about the Prime. Well said.

[Dave Frederickson]

(03-10-2015 08:23 PM)Gerson W. Barbosa Wrote:  

(03-10-2015 04:27 PM)Dave Frederickson Wrote:  We can refer to you as member 2^10. Then you'd be a numerical expression.

In case he doesn't like that simple expression, I would suggest him a slightly more complicated one:

\[326\pi-\frac{1}{2}\left ( \frac{1}{\pi }+\frac{5}{\left \{\sqrt{5}\left [90+\pi ^{2}+\frac{1}{25\left ( 10+\frac{\pi }{2} \right )} \right ] \right \}^{2}}\right )\]


To be evaluated on the WP 34S (DBLOFF)

What did you guys do! 1024 is a nice, simple, power of 2. 10000000000b. You had to go and throw pi into it, no pun intended. What's pi in binary, anyway?? Oh well, it's Gerald's member number so I guess it's up to him.

[PANAMATIK]

(03-11-2015 01:36 AM)Dave Frederickson Wrote:  What's pi in binary, anyway??

pi in binary is: http://www.befria.nu/elias/pi/binpi.html

[Paul Dale]

(03-11-2015 08:53 AM)PANAMATIK Wrote:  pi in binary is: http://www.befria.nu/elias/pi/binpi.html

Far more interesting is that the n^th binary digit of pi can be directly computed without having to work all the previous digits out. With this, there is no need to have long digit lists.

The same isn't true for base 10.


- Pauli

[Thomas Klemm]

(03-11-2015 09:15 AM)Paul Dale Wrote:  The same isn't true for base 10.

Is there a proof for this? Or is it that we just don't know a similar formula for base 10?

Cheers
Thomas

[Paul Dale]

(03-11-2015 10:25 AM)Thomas Klemm Wrote:  Is there a proof for this? Or is it that we just don't know a similar formula for base 10?

Quite the contrary, the base ten extraction method for pi has been found! I should keep more up to date.


Pauli

[Gerald H]

(03-11-2015 10:25 AM)Thomas Klemm Wrote:  

(03-11-2015 09:15 AM)Paul Dale Wrote:  The same isn't true for base 10.

Is there a proof for this? Or is it that we just don't know a similar formula for base 10?

Cheers
Thomas

To date no human has published a formula for digit by digit expansion of pi to base ten.

For ln(9/10)

1/(g*10^g)

for g from 1 upwards gives the base 10 digits.

Edit: I too should keep up to date. Thanks for reducing my ignorance! But then again, I'm not sure Plouffe is correct - he has a history.
Edit: OK, convinced.

[Thomas Klemm]

(03-11-2015 11:01 AM)Paul Dale Wrote:  I should keep more up to date.

Common, it has just been published recently:

Quote:November 30, 1996

Thanks for the link!
Thomas

[Gerson W. Barbosa]

(03-11-2015 11:01 AM)Paul Dale Wrote:  

(03-11-2015 10:25 AM)Thomas Klemm Wrote:  Is there a proof for this? Or is it that we just don't know a similar formula for base 10?

Quite the contrary, the base ten extraction method for pi has been found! I should keep more up to date.

There is also this paper by Xavier Gourdon:

Computation of the n-th decimal digit of π with low memory

Quoting the abstract:

"This paper presents an algorithm that computes directly the n-th decimal digit of π in
sub-quadratic time and very low memory. It improves previous results of Simon Plouffe, later
refined by Fabrice Bellard. The problem of the n-th digit computation in base 2 had already
been successfully treated thanks to the use of appropriate series, but no corresponding formula
for the question in base 10 has been found yet. However, our result is a progress. Another
result in this paper permits to compute directly the n-th decimal digit of π with intermediate
memory size, leading to intermediate time complexity between linear and quadratic."

Gerson.

[Thomas Klemm]

(03-11-2015 11:49 AM)Gerson W. Barbosa Wrote:  There is also this paper by Xavier Gourdon:

Computation of the n-th decimal digit of π with low memory

I get a:
403 Forbidden

But this link to nthdecimaldigit.pdf works for me.

The search would lead me to an old thread "One more slice of PI" which points to a "program for the 41c that calculates the next 6 digits of pi from any given point in the decimal expansion".

Cheers
Thomas

[Gerson W. Barbosa]

(03-10-2015 08:45 PM)Jlouis Wrote:  

(03-10-2015 03:35 AM)Joe Horn Wrote:  2187? Cell 2187 has Princess Leia Organa in it. Level 5, Detention Block AA 23. I'm afraid she's scheduled to be terminated. Better her than me. <light saber sound; core dump abruptly ceases>

And I thought that I was a hardcore fan of Star Wars....

P.S.: 1 post less to the Shangri-la of 300 hundreds posts of seniorship...I'm almost there....

In the old forum those who are now known as "senior members" were called "the regulars here"

http://www.hpmuseum.org/cgi-sys/cgiwrap/...265#111267

No need to hurry! Seniorship will eventually be reached simply by being "a regular here" regardless of your being a guru or a disciple like myself :-)

Gerson.

[Gerson W. Barbosa]

(03-11-2015 12:38 PM)Thomas Klemm Wrote:  The search would lead me to an old thread "One more slice of PI" which points to a "program for the 41c that calculates the next 6 digits of pi from any given point in the decimal expansion".

Thanks for the links, Thomas! I started that 10-year old thread and yet I had completely forgotten about it.

This is Hugh Steers's original posting:

http://www.hpmuseum.org/cgi-sys/cgiwrap/...read=55868

Gerson (formerly known as GWB).

[toml_12953]

(03-09-2015 02:14 AM)MarkMason Wrote:  

(03-08-2015 09:14 PM)Tugdual Wrote:  Have I been so talkative? Hard to believe I wrote 300 mails here already :-\
Can you junior me? I need a makeover, being senior sounds too serious for me.

Being in the senior category could have some real advantages, some even monitary. Print this out and take it with you on your next trip to McDonalds, it may bs worth 10% off !!! Having mostly grey hair helps, but I prefer not to reveal how I know this. Let's just say my first calculator ever was a brand new HP 29C !!!!

Mark

Oh, so you're a kid! My first was an HP-45. I was thinking of buying a 35 but just when I was about to buy, the 45 came out. Look at that GOLD key, baby! Woo hoo! Double your pleasure, double your fun.... (if you can complete that jingle, then you ARE old!)

Tom "The Elder" Lake

[TASP]

Is that Nth digit of binary pi thing all that impressive?

I can guess a digit and have a 50% chance of being right!

[Gerson W. Barbosa]

(03-11-2015 01:33 PM)toml_12953 Wrote:  Double your pleasure, double your fun.... (if you can complete that jingle, then you ARE old!)

Tom "The Elder" Lake

If you can complete the jingle without having to search the internet, I would add :-)

https://www.youtube.com/watch?v=PHfjdxN1URI