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#51 2012-02-19 07:30:03
- bobbym
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Re: @MIF , Activity:Drawing squares
Well, I do not see 30 squares. These √ 3 squares are beyond my visual acuity. I am writing a little program to do this for me.
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.
#52 2012-02-19 08:08:47
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
ok.but i still want to know what the conclusion is.
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
#53 2012-02-19 08:40:24
- bobbym
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Re: @MIF , Activity:Drawing squares
Where r is the number of rows and c is the number of columns. r ≤ c
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.
#54 2012-02-19 08:46:20
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
hi bobbym
this can be simplified to:
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
#55 2012-02-19 08:48:27
- bobbym
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Re: @MIF , Activity:Drawing squares
I will tell you why you should never do that lightly.
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.
#56 2012-02-19 08:51:22
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
why?and do what?
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
#57 2012-02-19 08:52:28
- bobbym
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Re: @MIF , Activity:Drawing squares
Simplifcation, which is drummed into school kids is sometimes an error!
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.
#58 2012-02-19 08:54:18
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
hi bobbym
i'm not simplifying it because i want to,i'm simplifying it so that i don't have to implement an algorithm for doing combinations.i'm thinking of converting this to the notation you mentioned before in the big Oh thread.
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
#59 2012-02-19 08:56:55
- bobbym
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Re: @MIF , Activity:Drawing squares
Even there it might be more useful to think of it in the supposed long form. You could use Stirling's formula on those binomials and go a little further than before perhaps.
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.
#60 2012-02-19 08:58:06
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
hi bobbym
i'm not sure what you want me to do.could you show me?
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
#61 2012-02-19 09:02:32
- bobbym
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Re: @MIF , Activity:Drawing squares
The first one is what is considered mandatory, simplify everything! But it hides the structure of the problem. It is hard to see what combinatorics is involved. The second shows a pattern and might even suggest a starting point for more dimensions or different shapes.
There is a really funny example from an Adrian Oldknow book that demonstrates that stereotyped thinking in math can lead to disaster.
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.
#62 2012-02-19 09:11:53
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
hi bobbym
i understand what you mean,but,as i stated clearly,i simplified your formula for computational purposes only. 
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
#63 2012-02-19 09:13:09
- bobbym
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Re: @MIF , Activity:Drawing squares
I know but you must be careful there too
remember?
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.
#64 2012-02-19 09:16:29
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
how is that possible?
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
#65 2012-02-19 09:17:49
- bobbym
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Re: @MIF , Activity:Drawing squares
We did not get into it because you were not ready. The computation you speak of is a very tricky beast. Often in Numerical analysis you anti-simplify because it is superior.
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.
#66 2012-02-19 09:21:55
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
hi bobbym
this is just basic programming so that's not necessary.
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
#67 2012-02-19 09:24:10
- bobbym
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Re: @MIF , Activity:Drawing squares
I know, that is what they say. I just mention it so you will be prepared when that comes up.
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.
#68 2012-02-19 09:27:10
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
ok,thanks! 
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
#69 2012-02-19 09:30:48
- bobbym
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Re: @MIF , Activity:Drawing squares
Ever heard of Adrian Oldknow or his book?
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.
#70 2012-02-19 09:33:01
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
nope.who's that guy?
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
#71 2012-02-19 09:36:16
- bobbym
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Re: @MIF , Activity:Drawing squares
A guy who wrote a nice book on using microcomputers and doing mathematics.
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.
#72 2012-02-19 09:41:38
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
k,what about him?
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
#73 2012-02-19 09:43:49
- bobbym
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Re: @MIF , Activity:Drawing squares
It was just a nice book to read. It showed me that there were alternate ways to do math problems.
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.
#74 2012-02-20 01:47:16
- anonimnystefy
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Re: @MIF , Activity:Drawing squares
what alternative ways?
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
#75 2012-02-20 01:51:57
- bobbym
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Re: @MIF , Activity:Drawing squares
Too much to detail, maxima and minima for one.
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.