Math Is Fun Forum
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#76 2010-01-22 03:36:18
- phrontister
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- From: The Land of Tomorrow
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Re: What do you think?
Hi Bobby,
Not close.
Is close?
Last edited by phrontister (2010-01-22 04:59:38)
"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
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#77 2010-01-22 05:41:55
- phrontister
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Re: What do you think?
Prove that:
Are you sure the equation is correct, Bobby? I tried s=7, and that ended up way off.
But I probably don't understand the question.
"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
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#78 2010-01-22 12:12:56
- mathsyperson
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Re: What do you think?
It only works when |s| < 1. Otherwise the right hand side doesn't converge.
Why did the vector cross the road?
It wanted to be normal.
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#79 2010-01-22 13:26:17
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
You are closer, but more than 200 away. As for the series, yes as mathysyperson points out. (-1,1) is the interval of convergence.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#80 2010-01-22 14:35:07
- phrontister
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Re: What do you think?
You are closer, but more than 200 away.
How about ?
"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
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#81 2010-01-22 14:38:31
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
Closer but still a ways off.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#82 2010-01-22 14:39:51
- phrontister
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Re: What do you think?
Grumble! 
"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
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#83 2010-01-22 16:32:37
- phrontister
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Re: What do you think?
Hope is the closest yet!
Last edited by phrontister (2010-01-22 16:37:05)
"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
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#84 2010-01-22 16:40:26
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
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Re: What do you think?
Hi;
That is the closest yet, but not dangerously close.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#85 2010-01-22 18:06:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi;
Problem #18:
Find n which is greater than 1, so that the average of
is a perfect square. Can you get a general solution?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#86 2010-01-23 02:46:44
- phrontister
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- From: The Land of Tomorrow
- Registered: 2009-07-12
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Re: What do you think?
That is the closest yet, but not dangerously close.
I'm beginning to feel dangerous...I think!
"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
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#87 2010-01-23 13:35:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
That is closer, but...
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#88 2010-01-23 21:36:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
A tough one;
Problem #19:
Two random numbers a,b are drawn from (0,1) and added to form c.
a + b = c.
a,b,c are then rounded to the nearest integer and called A,B,C respectively.
What is the probabilty that A + B = C?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#89 2010-01-30 03:58:33
- phrontister
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- From: The Land of Tomorrow
- Registered: 2009-07-12
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Re: What do you think?
That is closer, but...
Is getting warmer, 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
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#90 2010-01-30 15:18:54
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
Bingo, good work!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#91 2010-01-31 01:32:43
- phrontister
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- Registered: 2009-07-12
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Re: What do you think?
Bingo, good work!
How did you do it, Bobby?
My first attempt was For/Next loops in BASIC (the only programming language I know a little about), but I kept on overlooking something. Then I saw that I could solve the puzzle in Excel, but I didn't think and threw my BASIC work away...and now I wish I hadn't.
I wondered also if it could somehow be done with permutations, but I know nothing about that subject.
My spreadsheet
EDIT: There was a typo in my spreadsheet formulas...now corrected. Sorry!
Last edited by phrontister (2010-02-01 11:14:36)
"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
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#92 2010-01-31 11:48:53
- phrontister
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Re: What do you think?
Hi Bobby,
I don't know if you've tried my spreadsheet formulas, but I made a typo yesterday. I corrected it just a few minutes ago. Sorry 'bout that, if you've wasted some time on it!
"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
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#93 2010-01-31 12:15:03
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
Not yet, I have been trying to reconstruct my solution.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#94 2010-01-31 16:13:05
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi
Problem #20:
This one is easy:
An owl is perched on the top of a pole which is 9 ft high.. A gopher, 27 ft away is making a mad dash to its hole at the base of the pole. The owl pounces on the gopher. If their velocities are the same what distance from his hole is the gopher caught?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#95 2010-01-31 18:37:10
- phrontister
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- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,880
Re: What do you think?
Hi Bobby,
The gopher is caught 12 feet short of his hole.
"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
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#96 2010-01-31 18:43:46
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
That's correct! Do you have an interesting method of solution? Hide it when you post it.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#97 2010-01-31 20:18:42
- phrontister
- Real Member
- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,880
Re: What do you think?
Hi Bobby,
Do you have an interesting method of solution?
Not really... is what I did.
Last edited by phrontister (2010-01-31 23:12:20)
"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
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#98 2010-02-01 02:45:18
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Hi phrontister;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#99 2010-02-01 03:02:58
- phrontister
- Real Member
- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,880
Re: What do you think?
Hi Bobby,
Yes...that's a very nice, logical answer. Done the proper way, I think.
"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
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#100 2010-02-01 04:06:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What do you think?
Actually, nothing proper about it at all. Your method using interval bisection is what I wanted to use, I was quite unhappy when I found there was an algebraic way to do it. On another forum a bunch of academicians are pounding my type for finding other ways to do things. I am heavily outnumbered over there and in a rebellious frame of mind so I would have loved to have used your method.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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