Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
#2026 2013-01-16 08:23:41
- anonimnystefy
- Real Member
Offline
Re: What do you think?
Hi
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#2027 2013-01-16 08:31:29
- bobbym
- Administrator
Offline
Re: What do you think?
Hi;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2028 2013-01-16 08:36:08
- anonimnystefy
- Real Member
Offline
Re: What do you think?
A 2x2 matrix? How?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#2029 2013-01-16 08:40:02
- bobbym
- Administrator
Offline
Re: What do you think?
Hi;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2030 2013-01-16 08:46:06
- anonimnystefy
- Real Member
Offline
Re: What do you think?
Hi bobbym
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#2031 2013-01-16 08:52:34
- bobbym
- Administrator
Offline
Re: What do you think?
Hi;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2032 2013-01-16 21:28:23
- gAr
- Star Member
Offline
Re: What do you think?
Hi bobbym,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2033 2013-01-16 23:55:08
- bobbym
- Administrator
Offline
Re: What do you think?
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2034 2013-01-17 00:17:37
- gAr
- Star Member
Offline
Re: What do you think?
Hi bobbym,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2035 2013-01-17 00:35:12
- bobbym
- Administrator
Offline
Re: What do you think?
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2036 2013-01-17 01:25:11
- phrontister
- Real Member
Offline
Re: What do you think?
Hi Bobby,
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
#2037 2013-01-17 01:26:56
- bobbym
- Administrator
Offline
Re: What do you think?
Hi phrontister;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2038 2013-01-17 01:34:49
- gAr
- Star Member
Offline
Re: What do you think?
Hi bobbym,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2039 2013-01-17 01:42:42
- bobbym
- Administrator
Offline
Re: What do you think?
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2040 2013-01-17 01:56:44
- phrontister
- Real Member
Offline
Re: What do you think?
Hi Bobby,
Howdy!
The spreadsheet (which I've deleted by mistake 
) gave the answer after about 25 to 30 iterations, depending on the starting volume of water in the urns. I tried it with the same volume in each urn and also with different volumes in each urn, with not much change to the number of iterations.
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
#2041 2013-01-17 01:56:45
- gAr
- Star Member
Offline
Re: What do you think?
You're welcome!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2042 2013-01-17 01:58:24
- phrontister
- Real Member
Offline
Re: What do you think?
Hi gAr,
Thank you for your welcome! You must speed read/speed type!
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
#2043 2013-01-17 02:02:39
- bobbym
- Administrator
Offline
Re: What do you think?
Hi phrontister;
Yes the naswer is independent of the volumes of the urns and the starting amounts of water.
Hi gAr;
The Feller books have a lot of stuff in them!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2044 2013-01-17 02:24:31
- gAr
- Star Member
Offline
Re: What do you think?
Hi phrontister,
I did not see that you had written up there, I actually replied to bobbym!
Hi bobbym,
Yes, you're right, he has covered a lot of topics.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2045 2013-01-17 02:46:54
- bobbym
- Administrator
Offline
Re: What do you think?
Hi;
Thanks for both of you looking at the problem.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2046 2013-01-17 02:52:09
- gAr
- Star Member
Offline
Re: What do you think?
Hi bobbym,
I have a question on numerical methods:
How do we test whether a huge integer is a perfect square, if I'm to implement it in a language like C?
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2047 2013-01-17 03:01:42
- bobbym
- Administrator
Offline
Re: What do you think?
How big is the integer?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2048 2013-01-17 03:09:49
- gAr
- Star Member
Offline
Re: What do you think?
A number which fits "long" data type, taking 64 bits..
I'll take a break, see you later..
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2049 2013-01-17 03:22:43
- bobbym
- Administrator
Offline
Re: What do you think?
Hi gAr;
Comparing floating point numbers like the routine sqr in C++ does and integers can be tricky.
I assume you want unsigned 64 bit numbers you will be testing numbers from 0 to 18446744073709551616. The roots would range from 0 to 4294967296.
Are your arguments going to be integers or floating point numbers?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#2050 2013-01-17 03:57:28
- gAr
- Star Member
Offline
Re: What do you think?
In particular, I'm trying to find values of n for which a polynomial like n*(5*n+14)+1 are perfect squares..
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."