space
Hello, All!
Suppose deep in the Outer Space there is a brood (flight? swarm? horde?) of space ships, each equipped with laser gun, controlled by robots and suspecting each other. Suddenly the new ...
...ntary probability for statisticians the first and most important concept you teach is that of the sample space, that is all possible outcomes for an experiment, and that the probability of the sample ...
[spoiler space]
Tiptoe through the tulips
Apologies to all for not using a spoiler space...
I have a message from a newspaper report, I have been trying to read. It is in code but I cannot figure any of it out. Can anyone offer any hint or advice please ? Message is below:- YMAUVZTPFZIPCZKDX...
Four times the area of the completed puzzle is often cited as sufficient working space.
Original puzzle as spoiler space
9) 6:07
SPOILER SPACE:
Apple?
Cheers,
(skip spoiler space)
12,345,867
spoiler space
the only one I can think of is pence. Wasn't (isn't) that abbreviated d.?
PROPOSER'S ANSWER:
[Spoiler space]
The slogan should be 'No Springs
Spoiler space.
5
4
3
2
1
S[n] = 2 - F[n+3]/2^n
This is easily shown by induction, with the observation that S[n] = 1/2 + S[n-1]/2 + S[n-2]/4 for n > 2.
EnteractAfter.com> writes
It is not possible in Euclidean space. To prove this, consider a 3x3 chessboard.
Whoops, forgot to add spoiler space to my original reply.
There are 5! = 120 permutations, and 7 comparisons give you 2^7 = 128 bins, so in theory it's possible.
I include one of several ...
The original problem is retained as spoiler space.
I presume you mean legal in the Christian world
I give one way to make 'NEW MILLENNIUM = 2001' and 'SPACE ODYSSEY = 2001' below.
Carl G.
NEW MILLENNIUM = 2001 14 * 5 * 23 + 13 / 9 * 12 * 12 + 5 + 14 + 14 - 9 + 21 / 13 = ...
...have a large number of unit cubes (regular hexahedrons). You use the cubes to totally enclose volumes of space ('rooms' . For example, six cubes can totally enclose a cubical volume of space ...
<Snip all except spoiler space>
M O R E
S P O I L E R
S P A C E
An Isaac Asimov 'Black Widowers' tale called (I think) 'The year of the action' which hinged o...
[spoiler space]
Oops; that should be 2640.
By 20, not 10, since there are ten (not five) starting points in each circuit and we can traverse the circuit in two directions.
Lead-in kept as spoiler space.
evolution revolution gastronomy astronomy ordnance ordinance latitude platitude (out of order) resident president roadside broadside slaughter laughter vindication i...
I don't suppose this is much of a spoiler, so I'll avoid the spoiler space. Check out your friendly math textbook (or your friendly search engine) for something called 'Benford's L...
Initial puzzle as spoiler space, except I've added the 'T' to group 1 that was posted separately.
The spoiler is really down there, though.
Well, it must be the ones who started...
... as in use G as in force H as in chew I as in socket J as in nest K as in owe L as in 'ades M as in space N as in 'ouse O as in bankrupt P as in soup Q as in pool R as in pirate S as in cent...
SPOILER SPACE 40
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10 9 8 7 6 5 4 3 2
Start at 4. (If the number you start at is counted 'one', start at 1 instead.) Parentheses indicate that number...
[partial spoiler space]
Your proof sketch seems good, but you need to rule out the possibility of a probabilistic strategy (e.g. someone guessing red with probability 0<p<1 if everyone else ...
thread as spoiler space
The first two solutions are obvious:
Two lines extending from the origin at 45 deg from each other.
Nested shapes scaled sqrt(2) apart (the potatoes)
The last o...
...
The puzzle where you simply try and arange the tiles in numbered order in a 3X3 grid with one vacant space.
1 2 3 4 5 6 8 7
My problem is that I'm trying to swap the position of the 7...
Cute. Answer and explanation follow, with spoiler space in between.
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bastion -> strong burn -> goal c...
...
Or since p/q = 6^3*p*q^2 / 6^3*q^3, = 6*(36*p*q^2) / (6*q)^3
from the formula above the spoiler space
p/q = ((36*p*q^2 + 1) / 6*q)^3 + (-36*p*q^2) / 6*q)^3 + (-36*p*q^2) / 6*q)^3 + ((36*p...
<spoilier space>
N the number of apples before addition of 2 P price per dozen
Original purchase.
N/12 * P = 48
So P = 12 * 48 / N
With extra 2 purchase. (N+2)/12 * (P-4) = 4...
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