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[Math Puzzle] Day[9] - Page 2

Blogs > evanthebouncy!
Post a Reply
Prev 1 2 All
igotmyown
Profile Blog Joined April 2009
United States4291 Posts
May 10 2009 03:34 GMT
#21
engineers aren't good at math, they're good at calculations. Generally speaking.
DeathSpank
Profile Blog Joined February 2009
United States1029 Posts
Last Edited: 2009-05-10 04:26:11
May 10 2009 04:23 GMT
#22
+ Show Spoiler +

ugh... the only way to do it would be to start at a speed of say 1 and shoot until you would have hit it if it was going at that speed...then switch to 2...then do it again...and keep calculating....and assuming you don't know which way its gone you have to alternate between negative and positive speeds....fucking flee....as a computer scientist who likes efficiency these types of problems make me want to die.
yes.
Kau *
Profile Joined March 2007
Canada3500 Posts
Last Edited: 2009-05-10 06:41:31
May 10 2009 06:39 GMT
#23
+ Show Spoiler +

Shoot point 1 at second 1, if its speed was 1 it dies.
Shoot point 4 at second 2, if its speed was 2 it dies.
Shoot point 9 at second 3, if its speed was 3 it dies.

So I guess shoot at every (time)^2 point and it will eventually die, but how would you do both directions

Edit: Idea?

Shoot point 1 at second 1, if its speed was 1 it dies.
Shoot point -2 at second 2, if its speed was -1 it dies.
Shoot point 6 at second 3, if its speed was 2 it dies.
Shoot point -8 at second 4, if its speed was -2 it dies.

and I guess cover all the speeds up to infinity?
Moderator
FragKrag
Profile Blog Joined September 2007
United States11552 Posts
May 10 2009 06:43 GMT
#24
On May 10 2009 12:31 LosingID8 wrote:
Show nested quote +
On May 10 2009 12:17 Chill wrote:
On May 10 2009 11:43 LosingID8 wrote:
On May 10 2009 10:15 Chill wrote:
Wow you guys are smart lolol. I read the question and had no idea at all.

wait, aren't you an engineer lol

Sure, but that doesn't help me with math problems like these.

true true, i just assume all engineers are super good at all kinds of math

If engineers were great at all kinds of math, why would they need mathematicians? :p
*TL CJ Entusman #40* "like scissors does anything to paper except MAKE IT MORE NUMEROUS" -paper
Kau *
Profile Joined March 2007
Canada3500 Posts
Last Edited: 2009-05-10 06:46:27
May 10 2009 06:46 GMT
#25
On May 10 2009 15:43 FragKrag wrote:
Show nested quote +
On May 10 2009 12:31 LosingID8 wrote:
On May 10 2009 12:17 Chill wrote:
On May 10 2009 11:43 LosingID8 wrote:
On May 10 2009 10:15 Chill wrote:
Wow you guys are smart lolol. I read the question and had no idea at all.

wait, aren't you an engineer lol

Sure, but that doesn't help me with math problems like these.

true true, i just assume all engineers are super good at all kinds of math

If engineers were great at all kinds of math, why would they need mathematicians? :p

To put them in their place
[image loading]
Moderator
evanthebouncy!
Profile Blog Joined June 2006
United States12796 Posts
May 10 2009 07:08 GMT
#26
Kau be nice to the engineers, they're extremely valuable and many of the new discoveries are motivated by applied results <3
Life is run, it is dance, it is fast, passionate and BAM!, you dance and sing and booze while you can for now is the time and time is mine. Smile and laugh when still can for now is the time and soon you die!
Monoxide
Profile Blog Joined January 2007
Canada1190 Posts
May 10 2009 11:10 GMT
#27
On May 10 2009 09:56 aznmathfreak wrote:
+ Show Spoiler +
Let's say that the flea is traveling at the speed of x. On turn one, it can either be at x or -x depending on which direction it chose to travel in. On turn two, it can be at 2x or -2x. Since we don't know x, but we do know that its domain is the natural number, we can take turns shooting at each one of those natural number. IE, one turn one, let's guess that x is 1 in the positive direction, and since it's turn one, it would have gone 1x1 in the positive direction. Second turn, let's change our assumptions and guess that x is still 1 but in the negative direction. Since it's now turn two, we will have to fire 2x1 in the negative direction, or -2. With this method, you will eventually reach x high enough that you have guessed what was the speed of the flea, therefore hitting him/it.

Edit: ShadowDrgn's got it, the expression is on turn n, you shoot at (-1)^(n+1) x ceiling of (n/2) x n

this is correct... dam why am i soo slow on looking at these.. by the time I look at them they're already answered
evanthebouncy!
Profile Blog Joined June 2006
United States12796 Posts
May 10 2009 11:33 GMT
#28
On May 10 2009 20:10 Monoxide wrote:
Show nested quote +
On May 10 2009 09:56 aznmathfreak wrote:
+ Show Spoiler +
Let's say that the flea is traveling at the speed of x. On turn one, it can either be at x or -x depending on which direction it chose to travel in. On turn two, it can be at 2x or -2x. Since we don't know x, but we do know that its domain is the natural number, we can take turns shooting at each one of those natural number. IE, one turn one, let's guess that x is 1 in the positive direction, and since it's turn one, it would have gone 1x1 in the positive direction. Second turn, let's change our assumptions and guess that x is still 1 but in the negative direction. Since it's now turn two, we will have to fire 2x1 in the negative direction, or -2. With this method, you will eventually reach x high enough that you have guessed what was the speed of the flea, therefore hitting him/it.

Edit: ShadowDrgn's got it, the expression is on turn n, you shoot at (-1)^(n+1) x ceiling of (n/2) x n

this is correct... dam why am i soo slow on looking at these.. by the time I look at them they're already answered


Lol nothing wrong with that, I titled it day[9] and he hasn't found out about it at all :p
Life is run, it is dance, it is fast, passionate and BAM!, you dance and sing and booze while you can for now is the time and time is mine. Smile and laugh when still can for now is the time and soon you die!
snowbird
Profile Blog Joined October 2005
Germany2044 Posts
May 10 2009 11:40 GMT
#29
[image loading]


just to put the mathematicians in their place
@riotsnowbird
Monoxide
Profile Blog Joined January 2007
Canada1190 Posts
May 10 2009 12:33 GMT
#30
On May 10 2009 20:33 evanthebouncy! wrote:
Show nested quote +
On May 10 2009 20:10 Monoxide wrote:
On May 10 2009 09:56 aznmathfreak wrote:
+ Show Spoiler +
Let's say that the flea is traveling at the speed of x. On turn one, it can either be at x or -x depending on which direction it chose to travel in. On turn two, it can be at 2x or -2x. Since we don't know x, but we do know that its domain is the natural number, we can take turns shooting at each one of those natural number. IE, one turn one, let's guess that x is 1 in the positive direction, and since it's turn one, it would have gone 1x1 in the positive direction. Second turn, let's change our assumptions and guess that x is still 1 but in the negative direction. Since it's now turn two, we will have to fire 2x1 in the negative direction, or -2. With this method, you will eventually reach x high enough that you have guessed what was the speed of the flea, therefore hitting him/it.

Edit: ShadowDrgn's got it, the expression is on turn n, you shoot at (-1)^(n+1) x ceiling of (n/2) x n

this is correct... dam why am i soo slow on looking at these.. by the time I look at them they're already answered


Lol nothing wrong with that, I titled it day[9] and he hasn't found out about it at all :p


who were u trying to hide it from?
kernipu
Profile Joined February 2007
Germany193 Posts
May 10 2009 13:13 GMT
#31
+ Show Spoiler +

[image loading]

edahl
Profile Joined February 2008
Norway483 Posts
May 10 2009 21:54 GMT
#32
+ Show Spoiler +
Hmmh, the speed is a multiple of 2 or 3, and 1. The flea's possible motion at a given speed corresponds to a cyclic group of infinite order. If the group is addition on 2nZ, the flea is exclusively restricted to even numbers, as 2|2nm. Else, the flea will shift between even and uneven numbers. Anyway, I'd just shoot randomly at even numbers all across the numberline :-P

It doesn't bring me much closer to a solution, but I don't have time due to final exams tuesday. But I thought I'd show I look at your quiz ^^
evanthebouncy!
Profile Blog Joined June 2006
United States12796 Posts
May 10 2009 21:58 GMT
#33
On May 11 2009 06:54 edahl wrote:
+ Show Spoiler +
Hmmh, the speed is a multiple of 2 or 3, and 1. The flea's possible motion at a given speed corresponds to a cyclic group of infinite order. If the group is addition on 2nZ, the flea is exclusively restricted to even numbers, as 2|2nm. Else, the flea will shift between even and uneven numbers. Anyway, I'd just shoot randomly at even numbers all across the numberline :-P

It doesn't bring me much closer to a solution, but I don't have time due to final exams tuesday. But I thought I'd show I look at your quiz ^^

ha :D thx thx
Life is run, it is dance, it is fast, passionate and BAM!, you dance and sing and booze while you can for now is the time and time is mine. Smile and laugh when still can for now is the time and soon you die!
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