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#151 2013-01-16 21:49:31
- gAr
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Re: A few questions
Hi Agnishom,
Last edited by gAr (2013-01-16 21:51:14)
"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."
#152 2013-01-17 00:38:35
- Agnishom
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Re: A few questions
Thnk you gAr 
One question, if I get such a question in an exam shall I have to write out all the possible combinations?
Last edited by Agnishom (2013-01-17 00:42:40)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#153 2013-01-17 01:19:04
- gAr
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Re: A few questions
Hi,
I think you can only mention about the remainders, number of such combinations and the pigeonhole principle.
But I'm a bit confused about the minimum of such numbers required to guarantee that no three numbers form a cube, because we can see that taking three consecutive numbers there is also a cube.
Anyway, a good question, is it from a question paper?
"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."
#154 2013-01-17 13:15:39
- Agnishom
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Re: A few questions
Yes. It is
Last edited by Agnishom (2013-01-17 13:21:40)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#155 2013-01-18 02:53:50
- gAr
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Re: A few questions
Ok, thanks for the questions..
"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."
#156 2013-01-18 13:27:28
- bobbym
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Re: A few questions
Hi Agnishom;
What is the title pf the 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.
#157 2013-01-19 00:46:15
- Agnishom
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Re: A few questions
Title pf means?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#158 2013-01-19 00:54:18
- gAr
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Re: A few questions
I think he typed "pf" instead of "of"..
"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."
#159 2013-01-19 01:00:04
- Agnishom
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Re: A few questions
Well
I am not taking them from a book instead I am asking them from various olympiad questions
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#160 2013-01-19 03:37:40
- bobbym
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Re: A few questions
Hi gAr and Agnishom;
I have the flu and I am not as sharp as usual. I did mean of, sorry.
What I meant is Olympiad problems have numbers and state what Olympiad they are from. They also have answers to them that I can look up so you can study them. gAr's answer is the one I was working on also but he got there 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.
#161 2013-01-19 14:00:08
- Agnishom
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Re: A few questions
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#162 2013-01-19 15:09:30
- bobbym
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Re: A few questions
Hi Agnishom;
I have downloaded some more pdfs but so far nothing to help us.
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.
#163 2013-01-19 15:12:51
- gAr
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Re: A few questions
Hi bobbym,
How are you now?
Hi Agnishom,
Thanks for the links.
"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."
#164 2013-01-19 15:16:15
- bobbym
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Re: A few questions
Hi gAr;
Not much better, kind of tired.
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.
#165 2013-01-19 15:23:43
- gAr
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Re: A few questions
Hi,
Oh, take some rest..
"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."
#166 2013-01-19 15:40:39
- bobbym
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Re: A few questions
Hi;
That is what I am going to do.
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.
#167 2013-01-20 00:52:36
- Agnishom
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Re: A few questions
bobbym wrote:
I have downloaded some more pdfs but so far nothing to help us.
Regarding what?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#168 2013-01-20 12:16:11
- bobbym
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Re: A few questions
Hi Agnishom;
Solutions for RMO's and that sort of thing.
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.
#169 2013-02-10 13:29:45
- Agnishom
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Re: A few questions
Question 11: How many digits does 5^44 have?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#170 2013-02-10 13:53:51
- bobbym
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Re: A few questions
10^x = 5^44
Take the common log of both sides
x = 44 log(5)
x = 30.7546
So we have
10^(.7546) * 10 ^30
5.48 * 10^30 moves the decimal point 30 places to the right. So it has 31 digits.
Last edited by bobbym (2013-02-10 14:25:40)
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.
#171 2013-02-10 19:29:00
- Agnishom
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Re: A few questions
Actually, they said "without using a calculator" 
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#172 2013-02-10 20:03:01
- anonimnystefy
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Re: A few questions
Hi Agnishom
You can still use that.
The number of digits of a number is floor(log_10(that number))+1.
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
#173 2013-02-10 21:33:10
- bobbym
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Re: A few questions
Hi;
You can also get quite close using:
Last edited by bobbym (2013-02-10 22:19:13)
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.
#174 2013-02-11 00:41:03
- Agnishom
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Re: A few questions
anonimnystefy wrote:
Hi Agnishom
You can still use that.
The number of digits of a number is floor(log_10(that number))+1.
Thats correct
Now, how do I do that to 5^44 without a calculator?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#175 2013-02-11 00:45:06
- anonimnystefy
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Re: A few questions
Well you can approximate the logarithm...
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