You are not logged in.
Hi mikau,
I don't know if that is an official rule. He says it is. It should take less than 6 more rolls because 36 would sometimes be sufficient to get to 100.
Please provide me with the new answers you get as I am away from my machine and cannot run any program myself.
Hi whatismath;
I wasn't careful enough to fill in 10 rows and 10 columns without making an error. Thanks for providing your method. It seems there is always another way.
One possible problem with your code is that you cannot go over 100 to end the game, I think you have to equal 100 to end it.
Hi Mikau;
Sorry, I got called away and couldn't complete the post. I didn't mean to make the post sound so authoritative. I got the information here:
http://www.math.byu.edu/~jeffh/mathematics/games/chutes/index.htm
He could have made a mistake. Another site claims the expected number of throws is ≈ 42. He used a C++ program that he ran 10000 times. But I think this is too high.
Using a Markov chain for a 1 player game:
Minimum game length: 7
Expected game length: 39.59
Maximum game length: Unbounded
25% chance game ends in 21 spins or less
50% chance game ends in 32 spins or less
75% chance game ends in 49 spins or less
95% chance game ends in 89 spins or less
Hi Robin;
Welcome.
Hi Aquafina;
To get the 666th row and the 401 column you do this: Convert 665 and 400 to binary.
Now add each binary digit according to the laws of a nim-sum. That is
1+0 =1
0+0 =0
1+1 =0
0+1 =1
You will get.
This is 777 in base 10. So the 666 th row and the 401 column contains 777.
This is the general method, just take (row-1) and (col-1) and convert to binary. Add like a nim sum and convert answer to base 10. The proof of this method is contained in Challenging Mathematical Problems with Elementary Solutions Vol 2 by Yaglom problem 129. It is very difficult and long. I don't understand it well enough to shorten it.
Hi quittyqat;
answers
Thanks Deep;
Because the other set was inconsistent.
There are elections for a city council, total of 50 candidates and 1000 voters. There are 8 seats available in the city council and each voter has 8 votes so that a voter must select 8 different names from 50 candidates with any order. To win the election a candidate must get votes of 40% of voters.
Candidates = 50
Voters = 1000
seats = 8
Vmin = Votes required to win = 0.4*1000 = 400
Can't see how to tie this in with the rest of the problem.
The polls give us the relative probabilities of victory for the 3 groups..
P(someone from RANK1 wins) = 1/2
P(someone from RANK2 wins) = 1/3
P(someone from RANK3 wins) = 1/6
Can I assume that Rank2 has twice the chances of Rank3?
Hi mathsyperson;
The problem 1 speaks of a circumference making me think this is a large cone, but then says its cross section (I am assuming he means the base) is nearly square, reminding me of a pyramid. Which is right, what is the shape of this stone?
You read my mind ,Jane. I was thinking of that exact statement or I used to be a Taurean until I was dismayed.
I used to be >9 and <11 until I was dis ten ded
Hi Lorraine;
If you mean Landau's BIg Oh notation then this is straight definition stuff. Best way to deal with this type of problem is research.
go here:
http://en.wikipedia.org/wiki/Big_O_notation
You will now be able to draw a graph of some f(n) and its O(n)
When you understand that and if this is for computer science then go here for a discussion on its weaknesses:
http://leepoint.net/notes-java/algorithms/big-oh/bigoh.html
If you get past this you are ready for the Physicists. They are having an interesting discussion on Big Oh notation and computation of factorials. Careful though, some of it is not correct.
http://www.physicsforums.com/showthread.php?t=280854
Then comeback and you can explain it to me.
Have experts denied its existence? Have they called the eyewitnesses crazy or fame seekers?
I used to be a wrinkle until I was decreased
Hi thavamaran;
Please don't get carried away by that qoute, they may have to throw a net over him, for his own good. Nice to see that the age old battle between Mathematicians, Physicists and Engineers is still going strong.
Hi Jane;
See that you are in an explosive mood. This little vid while not containing much pyrotechnics does give some information on how chemists use the periodic chart. Nice to see some things haven't changed.
http://www.youtube.com/watch?v=PyFLvSg6ZDw&feature=related
Hi Jane;
Thanks for the vid.
Hi dadon11;
You are probably making an error. If you replace M with -U (A/T -1 ) in the right hand side of your first equation, you will get A.
I used to be a musician but I became disconcerted
Good girl.
Incomplete answer so everyone else please continue to look
-56287 did this in my head for practice.
Hi quittyqat;
answers
What panther?