looking for a calculator...
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looking for a calculator...
... that can do arbitrarily large numbers... like... a few million didgets long. anyone know where I can get one?
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Slater - Posts: 2671
- Joined: Sat May 22, 2004 10:00 am
- Location: Pacifica, Caliphornia
?!
Last edited by Fsiphskilm on Sun Jan 15, 2017 8:33 pm, edited 1 time in total.
I'm leaving CAA perminantly. i've wanted to do this for a long time but I've never gathered the courage to let go.
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Fsiphskilm - Posts: 3853
- Joined: Mon Nov 03, 2003 12:00 pm
- Location: USA
You'll never find a calculator that has that kind of precision, and you won't need one for any practical application. On the other hand, if you simply mean large numbers with truncated precision you should be able to find one easily. Most scientific calculators will allow numbers up to ~10.0^99 although their actual precision (# of digits stored) may vary.
What sort of applications do you need it for? Some calculators come with all kinds of bells and whistles (plotting, matrices, symbolics, etc) which can add to the cost. Personally, I found the Casio fx-6300G to be sufficient for most needs (it's inexpensive and has graphing/programmable capability) and used my desktop computer for more complicated tasks (IOW I used some mathematics software or wrote the program in C).
What sort of applications do you need it for? Some calculators come with all kinds of bells and whistles (plotting, matrices, symbolics, etc) which can add to the cost. Personally, I found the Casio fx-6300G to be sufficient for most needs (it's inexpensive and has graphing/programmable capability) and used my desktop computer for more complicated tasks (IOW I used some mathematics software or wrote the program in C).
The scientific method," Thomas Henry Huxley once wrote, "is nothing but the normal working of the human mind." That is to say, when the mind is working; that is to say further, when it is engaged in corrrecting its mistakes. Taking this point of view, we may conclude that science is not physics, biology, or chemistry—is not even a "subject"—but a moral imperative drawn from a larger narrative whose purpose is to give perspective, balance, and humility to learning.
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
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Technomancer - Posts: 2379
- Joined: Fri Jun 13, 2003 11:47 am
- Location: Tralfamadore
I know. There are "only" about 10^100 atoms in the universe according to scientists nowadays.
Why do I want it? There was a small challenge on a forum that wondered if someone could answer the following equation (or something much like it):
N = A!^B!^C!^D! ... ^L!^14
where A = 1000!^1000!
B = A!^A!
C = B!^B!
etc.
That'd take a while on paper. I managed to solve for A to about 32 didgets of significant figures, but beyond that... hehe.
Why do I want it? There was a small challenge on a forum that wondered if someone could answer the following equation (or something much like it):
N = A!^B!^C!^D! ... ^L!^14
where A = 1000!^1000!
B = A!^A!
C = B!^B!
etc.
That'd take a while on paper. I managed to solve for A to about 32 didgets of significant figures, but beyond that... hehe.
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Slater - Posts: 2671
- Joined: Sat May 22, 2004 10:00 am
- Location: Pacifica, Caliphornia
The ans
Last edited by Fsiphskilm on Sun Jan 15, 2017 8:33 pm, edited 1 time in total.
I'm leaving CAA perminantly. i've wanted to do this for a long time but I've never gathered the courage to let go.
-
Fsiphskilm - Posts: 3853
- Joined: Mon Nov 03, 2003 12:00 pm
- Location: USA
The answer is definately not zero! The trick to the question is not to try and compute it directly. Instead you need to take the logarithm and use the properties of that operation. To get you started
N=A!^B!....L!^14
log N= 14*L!*log(A!^B!...^K!)
=14*L!*K!*....B!*log(A!)
From here on in it should be relatively straightforward.
N=A!^B!....L!^14
log N= 14*L!*log(A!^B!...^K!)
=14*L!*K!*....B!*log(A!)
From here on in it should be relatively straightforward.
The scientific method," Thomas Henry Huxley once wrote, "is nothing but the normal working of the human mind." That is to say, when the mind is working; that is to say further, when it is engaged in corrrecting its mistakes. Taking this point of view, we may conclude that science is not physics, biology, or chemistry—is not even a "subject"—but a moral imperative drawn from a larger narrative whose purpose is to give perspective, balance, and humility to learning.
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
-
Technomancer - Posts: 2379
- Joined: Fri Jun 13, 2003 11:47 am
- Location: Tralfamadore
How old are you?-
Godly Paladin - Posts: 2016
- Joined: Sun May 23, 2004 10:21 am
- Location: Missouri
He is thousan
Last edited by Fsiphskilm on Sun Jan 15, 2017 8:33 pm, edited 1 time in total.
I'm leaving CAA perminantly. i've wanted to do this for a long time but I've never gathered the courage to let go.
-
Fsiphskilm - Posts: 3853
- Joined: Mon Nov 03, 2003 12:00 pm
- Location: USA
There's no real way around that unfortunately, given the question. The problem seems designed to test one's patience rather than mathematical insight. There are unfortunately no nifty transformations or identities with which one could easily reduce the problem, so a lot of hand calculation is still required.
The scientific method," Thomas Henry Huxley once wrote, "is nothing but the normal working of the human mind." That is to say, when the mind is working; that is to say further, when it is engaged in corrrecting its mistakes. Taking this point of view, we may conclude that science is not physics, biology, or chemistry—is not even a "subject"—but a moral imperative drawn from a larger narrative whose purpose is to give perspective, balance, and humility to learning.
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
-
Technomancer - Posts: 2379
- Joined: Fri Jun 13, 2003 11:47 am
- Location: Tralfamadore
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Mr. SmartyPants - Posts: 12541
- Joined: Sat Aug 21, 2004 9:00 am
In truth you know, even with the logs there's no really compact way of writing the answer. You're pretty much restriced to the "power tower" that was used in the original question. The reason is that the actual number is well in excess of a googleplex, which would take more space to write than exists in the known universe.
Edit: with regards to wisdom, I really wouldn't know that. I do know about mathematics though.
Edit: with regards to wisdom, I really wouldn't know that. I do know about mathematics though.
The scientific method," Thomas Henry Huxley once wrote, "is nothing but the normal working of the human mind." That is to say, when the mind is working; that is to say further, when it is engaged in corrrecting its mistakes. Taking this point of view, we may conclude that science is not physics, biology, or chemistry—is not even a "subject"—but a moral imperative drawn from a larger narrative whose purpose is to give perspective, balance, and humility to learning.
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
Neil Postman
(The End of Education)
Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that my ignorance is just as good as your knowledge
Isaac Aasimov
-
Technomancer - Posts: 2379
- Joined: Fri Jun 13, 2003 11:47 am
- Location: Tralfamadore
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Godly Paladin - Posts: 2016
- Joined: Sun May 23, 2004 10:21 am
- Location: Missouri
Let's see... What style should it be in? An RP type fight, like the bouts for Zelda 27 and Sam*ron, or a test of intelligence? You've been around longer, SP...what do you think?
And hey, Technomancer, are you up to it?
And hey, Technomancer, are you up to it?
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Godly Paladin - Posts: 2016
- Joined: Sun May 23, 2004 10:21 am
- Location: Missouri
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