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Brain Bashers
Does the statement, "We've always done it that way" ring any
bells... ?
The US
standard railroad gauge (distance between the rails) is 4 feet, 8.5 inches.
That's an exceedingly odd number.
Why
was that gauge used?
Because
that's the way they built them in England, and English expatriates built the US
Railroads.
Why
did the English build them like that?
Because
the first rail lines were built by the same people who built the pre-railroad
tramways, and that's the gauge they used.
Why
did "they" use that gauge then?
Because
the people who built the tramways used the same jigs and tools that they used
for building wagons, which used that wheel spacing.
Why
did the wagons have that particular odd wheel spacing?
Well, if
they tried to use any other spacing, the wagon wheels would break on some of the
old, long distance roads in England, because that's the spacing of the wheel
ruts.
Who
built those old rutted roads?
Imperial
Rome built the first long distance roads in Europe (and England) for their
legions. The roads have been used ever since.
Why
are the ruts in the roads?
Roman war
chariots formed the initial ruts, which everyone else had to match for fear of
destroying their wagon wheels. Since the chariots were made for Imperial Rome,
they were all alike in the matter of wheel spacing.
The
United States standard railroad gauge of 4 feet, 8.5 inches is derived from the
original specifications for an Imperial Roman war chariot. And bureaucracies
live forever. So the next time you are handed a specification and wonder what
horse's *** came up with it, you may be exactly right, because the Imperial
Roman war chariots were made just wide enough to accommodate the back ends of
two war horses. Now the twist to the story...
When you
see a Space Shuttle sitting on its launch pad, there are two big booster rockets
attached to the sides of the main fuel tank. These are solid rocket boosters, or
SRBs. The SRBs are made by Thiokol at their factory at Utah. The engineers who
designed the SRBs would have preferred to make them a bit fatter, but the SRBs
had to be shipped by train from the factory to the launch site. The railroad
line from the factory happens to run through a tunnel in the mountains. The SRBs
had to fit through that tunnel. The tunnel is slightly wider than the railroad
track, and the railroad track, as you now know, is about as wide as two horses'
behinds.
So, a
major Space Shuttle design feature of what is arguably the world's most advanced
transportation system was determined over two thousand years ago by the width of
a horse's rump.
Q: What is normed, complete, and yellow?
A: A Bananach space!
Did you know that Fibonacci is actually the shortened version of “F i bb ooo
nnnnn aaaaaaaa ccccccccccccc ccccccccccccccccccccc
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii”
Q: Did you hear the one about the
statistician?
A: Probably....
You Might Be a Mathematician if...
-you are fascinated by the equation.
-you know by heart the first fifty digits of pi.
-you have tried to prove Fermat's Last Theorem.
-you know ten ways to prove Pythagoras' Theorem.
-your telephone number is the sum of two prime numbers.
-you have calculated that the World Series actually diverges.
-you are sure that differential equations are a very useful tool.
-you comment to your wife that her straight hair is nice and parallel.
-when you say to a car dealer "I'll take the red car or the blue one", you
must add "but not both of them."
Approximately ten excuses for not doing homework:
* I accidentally divided by zero and my
paper burst into flames.
* I could only get arbitrarily close to my textbook. I couldn't actually
reach it.
* I have the proof, but there isn't room to write it in this margin.
* I have a solar powered calculator and it was cloudy.
* I locked the paper in my trunk but a four-dimensional dog got in and ate
it.
* I couldn't figure out whether I am the square of negative one or I am the
square root of negative one.
A team of engineers
were required to measure the height of a flag pole. They only had a measuring
tape, and were getting quite frustrated trying to keep the tape along the pole.
It kept falling down, etc. A mathematician comes along, finds out their problem,
and proceeds to remove the pole from the ground and measure it easily. When he
leaves, one engineer says to the other: "Just like a mathematician! We need to
know the height, and he gives us the length!"
The physicist and the engineer are in a hot-air balloon. Soon, they find
themselves lost in a canyon somewhere. They yell out for help: "Helllloooooo!
Where are we?"
15 minutes later, they hear an echoing voice: "Helllloooooo! You're in a
hot-air balloon!!"
The physicist says, "That must have been a mathematician."
The engineer asks, "Why do you say that?"
The physicist replied: "The answer was absolutely correct, and it was
utterly useless.
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