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#126 2012-03-07 04:29:58
- gAr
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Re: Bafflers?
Hi bobbym,
Thank you!
"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."
#127 2012-03-07 04:36:38
- bobbym
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Re: Bafflers?
Hi gAr;
Not too difficult but cute problem.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#128 2012-03-07 04:46:20
- bobbym
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Re: Bafflers?
Hi hammana;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#129 2012-03-07 04:59:56
- gAr
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Re: Bafflers?
Hi,
Yes, it's a good problem.
"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."
#130 2012-03-07 05:09:07
- bobbym
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Re: Bafflers?
Hi;
Glad you and anonimnystefy had some fun with it.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#131 2012-03-07 06:16:06
- anonimnystefy
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Re: Bafflers?
Hi bobbym
It's a nice problem, and the first one of yours I solved successfully!
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
#132 2012-03-07 07:04:05
- hammana
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Re: Bafflers?
The average value calculated from the table (post 125) is 3.76
We could also say that the number of white marbles is multiplied by .75 at each operation so the final result is :
50*(0.75)^9 =3.7541, This method does not seem very rigorous, but the result is practically identical to the simulation result.
#133 2012-03-07 07:36:49
- anonimnystefy
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Re: Bafflers?
Hi bobbym
For #1 I got an explicit formula
Is it correct?
Last edited by anonimnystefy (2012-03-07 07:38:33)
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
#134 2012-03-07 07:44:13
- hammana
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Re: Bafflers?
Results given in post 125 are wrong because i assumed that the replacement operation was carried 9 times. A new simulation assuming the replacement carried 10 times gives an aveerage of 2.812 and 50*(0.75)^10=2.8157
#135 2012-03-07 09:47:27
- bobbym
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Re: Bafflers?
Hi anonimnystefy;
Yes that is correct! Very good.
Hi hammana;
Very good answer! Well done.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#136 2012-03-07 09:52:15
- anonimnystefy
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Re: Bafflers?
Hi bobbym
I did it using the magnificent GF's.
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
#137 2012-03-07 09:58:12
- bobbym
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Re: Bafflers?
Well let me see.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#138 2012-03-07 10:02:39
- anonimnystefy
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Re: Bafflers?
Are you really gonna make we swype all that? I'm probably not gonna be able to use my laptop or my desktop till thursday evening.
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
#139 2012-03-07 10:07:17
- bobbym
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Re: Bafflers?
Then Thursday evening you will do it.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#140 2012-03-07 10:08:47
- anonimnystefy
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Re: Bafflers?
Sure! Can I expect more problems soon.
And you were right, these ones are easier.
Last edited by anonimnystefy (2012-03-08 09:15:40)
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
#141 2012-03-07 10:18:20
- bobbym
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Re: Bafflers?
As soon as I find one. I can not guarantee they will all be easy.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#142 2012-03-08 08:20:26
- anonimnystefy
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Re: Bafflers?
I wonder if it will be before or after thursday night.And they do not have to be easy, just not to be very hard.
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
#143 2012-03-08 08:36:09
- bobbym
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Re: Bafflers?
I am waiting for your generating function...
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#144 2012-03-08 08:45:47
- anonimnystefy
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Re: Bafflers?
Hi bobbym
It's probably gonna be on thursday afternoon after all.I am finishing with studying tomorrow and then I'm a free man for the next week.
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
#145 2012-03-08 08:50:47
- bobbym
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Re: Bafflers?
But this is only Wednesday. Why are you free for a week?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#146 2012-03-08 08:57:34
- anonimnystefy
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Re: Bafflers?
From the thursday evening to the sunday evening of the next week I'm free.on sunday I have a physics competition so I'm not going to school on friday, and the next week I'm off because I have a national mathematics competition.
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
#147 2012-03-08 08:58:57
- bobbym
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Re: Bafflers?
Who will you compete against?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#148 2012-03-08 09:07:32
- anonimnystefy
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Re: Bafflers?
Against other grade 10 students from the while Serbia that passed the regionals.
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
#149 2012-03-08 09:08:14
- bobbym
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Re: Bafflers?
How have you prepared?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#150 2012-03-08 09:10:00
- anonimnystefy
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Re: Bafflers?
I have but I have till the next week's Friday to prepare as much as I can.
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