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#1 2012-02-12 01:52:15
- anonimnystefy
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@MIF , Activity:Drawing squares
What's the formula for the number of those squares???
Last edited by anonimnystefy (2012-02-12 02:22:18)
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
#2 2012-02-12 05:29:59
- bobbym
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Re: @MIF , Activity:Drawing squares
Hi anonimnystefy;
Could you tell me the link please?
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.
#3 2012-02-12 05:39:46
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
it's on MIF page.
Activity:Drawing Squares
Last edited by anonimnystefy (2012-02-12 05:40:27)
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
#4 2012-02-12 05:45:03
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Re: @MIF , Activity:Drawing squares
Hi;
Did you construct a table of the small values by hand?
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.
#5 2012-02-12 06:10:37
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
nope.imma gonna.
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
#6 2012-02-12 07:46:21
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
here?
i have found that subtracting the 4th difference of the numbers gives 2,2,2,2,...
so we have: a_n=An^4+Bn^3+Cn^2+Dn+E.we can easily find those but what has actually been bothering me is the same tak but only on an m x n grid.
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
#7 2012-02-12 07:52:07
- bobbym
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Re: @MIF , Activity:Drawing squares
Whoa! How about letting me see you sequence first? The one you got empirically.
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.
#8 2012-02-12 07:55:18
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
n |a_n
--------
1 | 0
2 | 1
3 | 6
4 | 20
5 | 50
6 | 105
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
#9 2012-02-12 07:56:55
- bobbym
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Re: @MIF , Activity:Drawing squares
Now you actually did those by hand? Drawing tiny little squares until your fingers bled.
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.
#10 2012-02-12 07:59:07
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
didn't do it for 6,but after finding the 3rd differences i saw that they were all squares.but i can easily check for 6. 
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
#11 2012-02-12 08:01:55
- bobbym
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Re: @MIF , Activity:Drawing squares
First things first. I notice your sequence is shifted. You can adjust that.
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.
#12 2012-02-12 08:06:55
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
i used 1x1 grid to be just a dot.seemed more logical.
2x2 was this:
. .
. .
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
#13 2012-02-12 08:10:06
- bobbym
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Re: @MIF , Activity:Drawing squares
Hmmmm, but the problem as outlined uses the convention of counting interior squares and not lattice points. Since we are counting squares do you not now think that it is more consistent to set the problem up in terms of squares?
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.
#14 2012-02-12 08:12:22
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
ok,then just shift the whole sequence by one to the left.
Last edited by anonimnystefy (2012-02-12 08:12:47)
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
#15 2012-02-12 08:14:21
- bobbym
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Re: @MIF , Activity:Drawing squares
Kayrect! Now what would you do to go about getting a formula, remember to shift your list first.
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.
#16 2012-02-12 08:44:29
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
???
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
#17 2012-02-12 08:46:33
- bobbym
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Re: @MIF , Activity:Drawing squares
so we have: a_n=An^4+Bn^3+Cn^2+Dn+E.we can easily find those
From here.
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.
#18 2012-02-12 09:10:54
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
but it's better to expand that.get a better form for working with it.
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
#19 2012-02-12 09:13:24
- bobbym
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Re: @MIF , Activity:Drawing squares
Maybe, but that form makes you look like a combinatorial genius. People will be in awe of you.
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.
#20 2012-02-12 09:15:57
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
maybe,but i know that you're a combinatorial genius,so you don't have to prove it. 
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
#21 2012-02-12 09:20:42
- bobbym
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Re: @MIF , Activity:Drawing squares
When I was 4 I was rated with the IQ of a genius. But now that I am 9, I am rated as an imbecile.
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.
#22 2012-02-12 09:47:30
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
i'm happy for you.
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
#23 2012-02-12 12:46:03
- bobbym
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Re: @MIF , Activity:Drawing squares
Thanks, I am happy for me too. Now people come by and pat me on the head and tell me there will someday be a cure.
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.
#24 2012-02-13 03:11:01
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
what about an mxn grid,i.e a rectangular grid?
Last edited by anonimnystefy (2012-02-13 03:11:14)
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
#25 2012-02-13 03:24:30
- bobbym
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Re: @MIF , Activity:Drawing squares
For that I have:
I do not know if it is correct. Perhaps you would like to test it?
Break time! Pass me the pancakes!
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.