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...nterested in.
I have read some postings from people hinting that there is a simple 'trick' to solve this problem without doing any integrals. Anyone have any idea?
The math-intensive answer is her...
A note to R. E. S. - I loved this problem, caught it a little late.
And to the answerers, loved the answers - Great job!
Now for some twisted antics. :)
In an alternate reality:
Santa caught t
... along as in classic chess, but the rules must not necessarily be the same. I would includ retrograd chess problems in this category. Just for info, if you want a superb book, and not too hard, on ret...
...eary set.
The order of a primeary set is the number of elements in the set.
Of course, the fundamental problem on primeary sets is:
For each positive integer n, is there a primeary set of order ...
Hi,
i'm writing my own version of the peg solitaire game. The problem is that my program run too slow. On configurations with 32 pegs, the programs can run even for 30 mins.
I use simple brute for
It's that time again: the new problems (High School, Advanced, and Challenge) have been posted. Please visit us at
http://math.smsu.edu/~les/POTW.html
'Arthur J. O'Dwyer' schrieb:
Why? I see no force pulling water into a bubble.
The only force I can see that could make the bubble disappear is cohesion.
Cheers
...book decrypt to a later solution - except for a Linear B which may decrypt but which I haven't tried). The problem seems to involve the machine's Stecker pairs - there aren't any given. Trying with no...
... true statements. 10) There are no three cosecutive true statements.
What is the number?
(recirculated problem, first found in New Scientist 11 years ago.)...
...I will then write as a single letter.
(Such as writing 'weel' instead of 'well'.)
Now, this might be a problem when typing something up on the computer word-processor if the spell-(speel-...)check...
... probability that the cab involved in the accident was Blue rather than Green? If it looks like an obvious problem in statistics, then consider the following argument: The probability that the colour ...
...male with way too much time on his hands, and has submitted correct solutions to the last 45 weekly Enigma problems from the New Scientist magazine. If George has just won his second 30 pound prize (d...
...ds that can't be spelled out using the blocks (the lists don't contain all possible three letter words).
Problem 1: Figure out the six letters which were used on each of the blocks.
Problem 2: Try...
This problem comes from Martin Gardner's AHA! INSIGHT, c. 1978 Scientific American.
Two sets of three knights (one set black, the other white) are placed at opposite ends of a 3x4 board:
Which would be the fastest algorithm to solve the chess queens problem (8 queens on a chessboard not to attack one another)?
...passenger to board (i.e., the Nth passenger) sits in her assigned seat?
Below, I give a solution to this problem. However, this problem appeared in a popular, non-mathematical forum, and my solution...
... OOXX. OXXO is not possible: at the third stop someone would be exiting from an empty bus!
I'm sure this problem is already well-known. If you know these things well already please wait a day before...
...rus because they are offered publicly for 4 years and beyond 250 miles visitors came on my website without problem. To offer them in Java(popular waltz) - script, most of the time the applications Jav...
...ch other. That is, no 2 trees can be farther apart and any other 2 trees. How does the gardener solve this problem?
2.You have a grapefruit, several toothpicks and string. You first place some of th...
...ut then I'm stuck. It almost seems that I have to save all the little pieces for last, but then I have the problem of trying to guarantee that the thing will be solvable.
I tried a google search but...
...as Bernouli (not Daniel!), I'm a little confused as to how an infinite expected value is arrived at.
The problem, simplified, is to find the willing price for playing the game of flipping a coin unt...
Here is a problem by J.A.H. Hunter on expressions for successive integers.
Today we have just one '4' and two '7's.' Using these, all three but no other figures, together with any regular mathematic
...uzzle competition with about 20 entrants. It seemed to go well, a good time was had by all, no outstanding problems. The competition was structured thusly:
1) It was all done by e-mail. 2) It featur...
... solutions are possibile (how many?).
With 15 numbers, solution is not trivial (try it :-). But the real problem is: is it possibile to generalize construction of these triangles with *any* (triangu...
At http://www.mathpuzzle.com , I give a one line explanation of how to solve the Sicherman dice problem. I've recently started compiling other Sicherman-like sets of dice, using polynomial factorizati
... (he is the king). Logician 2 is presented with ABC1234. What is the best strategy in this case? Does this problem remind you of another puzzle that has appeared in rec.puzzles?...
The original Challenge problem posted had a number of grievous errors. It has been withdrawn and a new, similar (and one hopes, correct) puzzle has been posted at
http://math.smsu.edu/~les/Challenge
...airly easy to establish, and the examples followed these 'predictions' (hello Mike!) closely. In this tree problem, though, the heuristics are fairly hideous and necessarily grossly crude, and I have ...
Here is a problem by J.A.H. Hunter.
Returning from a tiring routine of inspection, Bob had his track motor three-eighths of the way across that long single track bridge when his lights failed. And i
Here is a problem by J.A.H. Hunter.
'How far's Guelph?' asked Ken, reading the postmark on a letter. His father laughed. 'Depends on your route.' The boy nodded. Of course, but is it near Uncle Fran
This is a game between two persons who play alternately. The problem is to 4-color a planar graph with these conditions:
The first player is trying to 4-color it, his opponent is trying to not let h
Find the oddball and determine whether heavy or light
The problem consists of eight balls that look identical. Seven out of the eight weigh exactly the same. One of the balls is an oddball since it
...the minimumu moves, but it would take too long to execute. I have found a few solutions of subsets of this problem, but they all break down when I change the incoming order, or number/location of inco...
...es up with new ones. Currently, he's featuring a question that seems to be a logic or number sequence type problem, rather than trivia and he's very smug when he says it's going to take a long time fo...
Here are a few more matchstick equation problems I designed for my math class. One of them is from my student Isaac. The rules of the game are: 1) You must use all the matchsticks 2) You can't break,
This is a problem that I am finding hard to solve it. Two men(A&B) take 24hrs to complete a particular work.If A alone does it , it takes 40minutes to complete the same work.How much time will it take
... used only N times. ) ) You mean, you can call 'color' N times, and then call 'switch' ) N times? Then the problem is trivial (though a complete working ) solution may require some thought). ) If you ...
Here is a problem by j.a.h. Hunter.
Our Knight has spelt a neat little teaser for us today; you'll see what it is if you follow his moves on this part of a chessboard.
HIS MORE AND TIMES AGES ITSE
I was wondering if there is a name for this problem/puzzle or if someone has done much work on it:
Make a rectangular grid of squares, 3 rows high by 2 columns wide. Start in the upper left corner a
...which make F(m) a perfect square? If not, can you prove your assertion?
Any suggestions on tackling this problem?
Joseph L. Pe...
Here is a problem by J.A.H. Hunter.
Their mother had put five huge bowls of peas on the table. 'They're all the same quantity,' she had said, 'and I'd like them shelled this morning.' Jill had been
This is no quite a problem, but may have been talked about in the past.
Here in the UK, there was a drink for sale called Zero Gravity. I don't know if it is still available.
It consisted of a liq
My wife has volunteered to schedule the 'volunteer' time in our daughter's classroom. On each day, there are 3 activities which each need one volunteer. In other words, 3 volunteers per day. There are
Here is a problem by J.A.H. Hunter.
Bert was finding life rather lonely-in town only a few weeks. He still knew nobody outside of the small office. 'How old is that kid sister of yours?' he asked Be
... 22, 36
Answer: Group 1: 24 / (19 - 15) = 6 Group 2: (30 + 36) / 11 = 6 Group 3: 20 + 22 - 36 = 6
Your Problem: Group 1: 2, 6, 9, 12 Group 2: 3, 4, 9, 45 Group 3: 1,3,5,9 Group 4: 3, 7, 11, 66 Gro...
... 6 5 4 3 2 1
I am wondering if anyone has strategies - either mental, or computational, for solving such problems....
...ou have any ideas:
http://puzzlephotos.blogspot.com/
The web site that hosts my images has been having problems, hopefully they have everything fixed now....
...ee spiders and a fly are moving along the edges of a tetrahedron. The three spiders want to catch the fly. Problem: The fly is invisible and very intelligent.
The rules are as follows:
1. The spid...
...e: N = 15
L1 = 3 L2 = 3*2 = 6 L3 = 6*2 = 12 L4 = 12*2= 24 ...
Solution: L1 + L3 = 3 + 12 = 15
So the problem is to a) choose the appropriate L1 and b) choose the segments that results in a line ...
...need an explination then please don't quit your day jobs.
) I wonder what Edmund thinks of the following problem: ) ) A woman walks up to you and says, 'I have two children. At least one of ) them i...
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