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An engineer, physicist, and mathematician are all challenged with a
problem: to fry an egg when there is a fire in the house. The
engineer just grabs a huge bucket of water, runs over to the fire, and
puts it out. The physicist thinks for a long while, and then measures
a precise amount of water into a container. He takes it over to the
fire, pours it on, and with the last drop the fire goes out. The
mathematician pores over pencil and paper. After a few minutes he
goes "Aha! A solution exists!" and goes back to frying the egg.
Sequel: This time they are asked simply to fry an egg (no fire). The
engineer just does it, kludging along; the physicist calculates
carefully and produces a carefully cooked egg; and the mathematician
lights a fire in the corner, and says "I have reduced it to the
previous problem."
-------------------------------------------------------------------------------
A physicist and a mathematician setting in a faculty lounge.
Suddenly, the coffee machine catches on fire. The physicist grabs a
bucket and leaps towards the sink, fills the bucket with water and
puts out the fire. The second day, the same two sit in the same
lounge. Again, the coffee machine catches on fire. This time, the
mathematician stands up, gets a bucket, hands the bucket to the
physicist, thus reducing the problem to a previously solved one.
-------------------------------------------------------------------------------
An engineer, a mathematician, and a physicist are staying in three
adjoining cabins at a decrepit old motel.
First the engineer's coffee maker catches fire on the bathroom vanity.
He smells the smoke, wakes up, unplugs it, throws it out the window,
and goes back to sleep.
Later that night the physicist smells smoke too. He wakes up and sees
that a cigarette butt has set the trash can on fire. He says to
himself, "Hmm. How does one put out a fire? One can reduce the
temperature of the fuel below the flash point, isolate the burning
material from oxygen, or both. This could be accomplished by applying
water." So he picks up the trash can, puts it in the shower stall,
turns on the water, and, when the fire is out, goes back to sleep.
The mathematician, of course, has been watching all this out the
window. So later, when he finds that his pipe ashes have set the
bedsheet on fire, he is not in the least taken aback. He immediately
sees that the problem reduces to one that has already been solved and
goes back to sleep.
-------------------------------------------------------------------------------
Three professors (a physicist, a chemist, and a statistician) are called
in to see their dean. Just as they arrive the dean is called out of his
office, leaving the three professors there. The professors see with
alarm that there is a fire in the wastebasket.
The physicist says, "I know what to do! We must cool down the materials
until their temperature is lower than the ignition temperature and then
the fire will go out."
The chemist says, "No! No! I know what to do! We must cut off the
supply of oxygen so that the fire will go out due to lack of one of the
reactants."
While the physicist and chemist debate what course to take, they both
are alarmed to see the statistician running around the room starting
other fires. They both scream, "What are you doing?"
To which the statistician replies, "Trying to get an adequate sample size."
-------------------------------------------------------------------------------
A mathematician and a physicist were asked the following question:
Suppose you walked by a burning house and saw a hydrant and
a hose not connected to the hydrant. What would you do?
P: I would attach the hose to the hydrant, turn on the water, and put out
the fire.
M: I would attach the hose to the hydrant, turn on the water, and put out
the fire.
Then they were asked this question:
Suppose you walked by a house and saw a hose connected to
a hydrant. What would you do?
P: I would keep walking, as there is no problem to solve.
M: I would disconnect the hose from the hydrant and set the house on fire,
reducing the problem to a previously solved form.
-------------------------------------------------------------------------------
There were two men trying to decide what to do for a living. They
went to see a counselor, and he decided that they had good problem
solving skills.
He tried a test to narrow the area of specialty. He put each man in a
room with a stove, a table, and a pot of water on the table. He said
"Boil the water". Both men moved the pot from the table to the stove
and turned on the burner to boil the water. Next, he put them into a
room with a stove, a table, and a pot of water on the floor. Again,
he said "Boil the water". The first man put the pot on the stove and
turned on the burner. The counselor told him to be an Engineer,
because he could solve each problem individually. The second man
moved the pot from the floor to the table, and then moved the pot from
the table to the stove and turned on the burner. The counselor told
him to be a mathematician because he reduced the problem to a
previously solved problem.
-------------------------------------------------------------------------------
So a mathematician, an engineer, and a physicist are out hunting
together. They spy a deer(*) in the woods.
The physicist calculates the velocity of the deer and the effect of
gravity on the bullet, aims his rifle and fires. Alas, he misses; the
bullet passes three feet behind the deer. The deer bolts some yards,
but comes to a halt, still within sight of the trio.
"Shame you missed," comments the engineer, "but of course with an
ordinary gun, one would expect that." He then levels his special
deer-hunting gun, which he rigged together from an ordinary rifle, a
sextant, a compass, a barometer, and a bunch of flashing lights which
don't do anything but impress onlookers, and fires. Alas, his bullet
passes three feet in front of the deer, who by this time wises up and
vanishes for good.
"Well," says the physicist, "your contraption didn't get it either."
"What do you mean?" pipes up the mathematician. "Between the two of
you, that was a perfect shot!"
----------
(*) How they knew it was a deer:
The physicist observed that it behaved in a deer-like manner, so it
must be a deer.
The mathematician asked the physicist what it was, thereby reducing it
to a previously solved problem.
The engineer was in the woods to hunt deer, therefore it *was* a deer.
-------------------------------------------------------------------------------
A computer scientist, mathematician, a physicist, and an engineer were
travelling through Scotland when they saw a black sheep through the
window of the train.
"Aha," says the engineer, "I see that Scottish sheep are black."
"Hmm," says the physicist, "You mean that some Scottish sheep are black."
"No," says the mathematician, "All we know is that there is at least
one sheep in Scotland, and that at least one side of that one sheep is
black!"
"Oh, no!" shouts the computer scientist, "A special case!"
-------------------------------------------------------------------------------
A Mathematician (M) and an Engineer (E) attend a lecture by a
Physicist. The topic concerns Kulza-Klein theories involving physical
processes that occur in spaces with dimensions of 11, 12 and even
higher. The M is sitting, clearly enjoying the lecture, while the E
is frowning and looking generally confused and puzzled. By the end
the E has a terrible headache. At the end, the M comments about the
wonderful lecture. The E says "How do you understand this stuff?"
M: "I just visualize the process."
E: "How can you POSSIBLY visualize something that occurs in
11-dimensional space?"
M: "Easy, first visualize it in N-dimensional space, then let N go to 11."
P.S. I once told this to a M friend of mine. She looked blankly
at me and said, "whats funny about that -- that's EXACTLY how you
do it!"
-------------------------------------------------------------------------------
What is "pi"?
Mathematician: Pi is the number expressing the relationship between the
circumference of a circle and its diameter.
Physicist: Pi is 3.1415927 plus or minus 0.00000005
Engineer: Pi is about 3.
-------------------------------------------------------------------------------
When considering the behaviour of a howitzer:
A mathematician will be able to calculate where the shell will land.
A physicist will be able to explain how the shell gets there.
An engineer will stand there and try to catch it.
-------------------------------------------------------------------------------
An engineer, a physicist and a mathematician find themselves in an
anecdote, indeed an anecdote quite similar to many that you have no
doubt already heard. After some observations and rough calculations
the engineer realizes the situation and starts laughing. A few
minutes later the physicist understands too and chuckles to himself
happily as he now has enough experimental evidence to publish a paper.
This leaves the mathematician somewhat perplexed, as he had observed
right away that he was the subject of an anecdote, and deduced quite
rapidly the presence of humour from similar anecdotes, but considers
this anecdote to be too trivial a corollary to be significant, let
alone funny.
-------------------------------------------------------------------------------
Life is complex. It has real and imaginary parts.
Math is like love; a simple idea, but it can get complicated. -- R. Drabek
Mathematicians take it to the limit.
"The number you have dialed is imaginary. Please multiply by i and dial again."
Zenophobia: The irrational fear of convergent sequences.
-------------------------------------------------------------------------------
"Math was always my bad subject. I couldn't convince my teachers that
many of my answers were meant ironically." -- writer Calvin Trillin
-------------------------------------------------------------------------------
"A person who can, within a year, solve x^2 - 92y^2 = 1 is a mathematician."
-- Brahmagupta
-------------------------------------------------------------------------------
MADD = Mathematicians
Against
Drunk
Deriving
-------------------------------------------------------------------------------
Q: What's purple and commutes?
A: An abelian grape.
Q: How many mathematicians does it take to screw in a lightbulb?
A: One, who gives it to six Californians, thereby reducing it to an
earlier riddle.
-- from a button I bought at Nancy Lebowitz's table at Boskone
Q: What do you call a teapot of boiling water on top of mount everest?
A: A high-pot-in-use
Q: What do you call a broken record?
A: A Decca-gone
Q: What is the world's longest song?
A: "Aleph-nought Bottles of Beer on the Wall."
Q: What's yellow and equivalent to the Axiom of Choice.
A: Zorn's Lemon.
Q: What do you get if you cross an elephant with a zebra.
A: Elephant zebra sin theta.
Q: What do you get if you cross an elephant with a mountain climber.
A: You can't do that. A mountain climber is a scalar.
Q: What do you get when you cross an elephant with a banana?
A: Elephant banana sine theta in a direction mutually perpendicular to
the two as determined by the right hand rule.
Q: What's non-orientable and lives in the sea?
A: Mobius Dick.
Q: What do you get when you put a spinning flywheel in a casket and
turn a corner?
A: A funeral precession.
Q: What's big, grey, and proves the uncountability of the reals?
A: Cantor's Diagonal Elephant!
Q: What do you call a young eigensheep?
A: A lamb, duh!!!
Q: What did the circle say to the tangent line?
A: "Stop touching me!"
Q: To what question is the answer "9W."
A: "Dr. Wiener, do you spell your name with a V?"
-------------------------------------------------------------------------------
A somewhat advanced society has figured how to package basic knowledge
in pill form.
A student, needing some learning, goes to the pharmacy and asks what
kind of knowledge pills are available. The pharmacist says "Here's a
pill for English literature." The student takes the pill and swallows
it and has new knowledge about English literature!
"What else do you have?" asks the student.
"Well, I have pills for art history, biology, and world history,"
replies the pharmacist.
The student asks for these, and swallows them and has new knowledge
about those subjects.
Then the student asks, "Do you have a pill for math?"
The pharmacist says "Wait just a moment", and goes back into the
storeroom and brings back a whopper of a pill and plunks it on the
counter.
"I have to take that huge pill for math?" inquires the student.
The pharmacist replied "Well, you know math always was a little hard
to swallow."
-------------------------------------------------------------------------------
"A mathematician is a device for turning coffee into theorems"
-- P. Erdos
-------------------------------------------------------------------------------
Three standard Peter Lax jokes (heard in his lectures) :
1. What's the contour integral around Western Europe?
Answer: Zero, because all the Poles are in Eastern Europe!
Addendum: Actually, there ARE some Poles in Western Europe, but
they are removable!
2. An English mathematician (I forgot who) was asked by his very religious
colleague:
Do you believe in one God?
Answer: Yes, up to isomorphism!
3. What is a compact city?
It's a city that can be guarded by finitely many near-sighted policemen!
-------------------------------------------------------------------------------
"Algebraic symbols are used when you do not know what you are talking about."
-------------------------------------------------------------------------------
Heisenberg might have slept here.
Moebius always sleeps on the same side.
Statisticians probably sleep.
Algebraists sleep in groups.
(Logicians sleep) or [not (logicians sleep)].
-------------------------------------------------------------------------------
A promising PhD candidate was presenting his thesis at his final
examination. He proceeded with a derivation and ended up with
something like:
F = -MA
He was embarrassed, his supervising professor was embarrassed, and the
rest of the committee was embarrassed. The student coughed nervously
and said "I seem to have made a slight error back there somewhere."
One of the mathematicians on the committee replied dryly, "Either that
or an odd number of them!"
-------------------------------------------------------------------------------
There was a mad scientist ( a mad ...social... scientist ) who
kidnapped three colleagues, an engineer, a physicist, and a
mathematician, and locked each of them in seperate cells with plenty
of canned food and water but no can opener.
A month later, returning, the mad scientist went to the engineer's
cell and found it long empty. The engineer had constructed a can
opener from pocket trash, used aluminum shavings and dried sugar to
make an explosive, and escaped.
The physicist had worked out the angle necessary to knock the lids off
the tin cans by throwing them against the wall. She was developing a
good pitching arm and a new quantum theory.
The mathematician had stacked the unopened cans into a surprising
solution to the kissing problem; his desiccated corpse was propped
calmly against a wall, and this was inscribed on the floor in blood:
Theorem: If I can't open these cans, I'll die.
Proof: Assume the opposite...
-------------------------------------------------------------------------------
Problem: To Catch a Lion in the Sahara Desert.
(Hunting lions in Africa was originally published as "A contribution
to the mathematical theory of big game hunting" in the American
Mathematical Monthly in 1938 by "H. Petard, of Princeton NJ" [actually
the late Ralph Boas]. It has been reprinted several times.
1. Mathematical Methods
1.1 The Hilbert (axiomatic) method
We place a locked cage onto a given point in the desert. After that
we introduce the following logical system:
Axiom 1: The set of lions in the Sahara is not empty.
Axiom 2: If there exists a lion in the Sahara, then there exists a
lion in the cage.
Procedure: If P is a theorem, and if the following is holds:
"P implies Q", then Q is a theorem.
Theorem 1: There exists a lion in the cage.
1.2 The geometrical inversion method
We place a spherical cage in the desert, enter it and lock it from
inside. We then perform an inversion with respect to the cage. Then
the lion is inside the cage, and we are outside.
1.3 The projective geometry method
Without loss of generality, we can view the desert as a plane surface.
We project the surface onto a line and afterwards the line onto an
interior point of the cage. Thereby the lion is mapped onto that same
point.
1.4 The Bolzano-Weierstrass method
Divide the desert by a line running from north to south. The lion is
then either in the eastern or in the western part. Let's assume it is
in the eastern part. Divide this part by a line running from east to
west. The lion is either in the northern or in the southern part.
Let's assume it is in the northern part. We can continue this process
arbitrarily and thereby constructing with each step an increasingly
narrow fence around the selected area. The diameter of the chosen
partitions converges to zero so that the lion is caged into a fence of
arbitrarily small diameter.
1.5 The set theoretical method
We observe that the desert is a separable space. It therefore
contains an enumerable dense set of points which constitutes a
sequence with the lion as its limit. We silently approach the
lion in this sequence, carrying the proper equipment with us.
1.6 The Peano method
In the usual way construct a curve containing every point in the
desert. It has been proven [1] that such a curve can be traversed in
arbitrarily short time. Now we traverse the curve, carrying a spear,
in a time less than what it takes the lion to move a distance equal to
its own length.
1.7 A topological method
We observe that the lion possesses the topological gender of a torus.
We embed the desert in a four dimensional space. Then it is possible
to apply a deformation [2] of such a kind that the lion when returning
to the three dimensional space is all tied up in itself. It is then
completely helpless.
1.8 The Cauchy method
We examine a lion-valued function f(z). Let \zeta be the cage.
Consider the integral
1 [ f(z)
------- I --------- dz
2 \pi i ] z - \zeta
C
where C represents the boundary of the desert. Its value is f(zeta),
i.e. there is a lion in the cage [3].
1.9 The Wiener-Tauber method
We obtain a tame lion, L_0, from the class L(-\infinity,\infinity),
whose fourier transform vanishes nowhere. We put this lion somewhere
in the desert. L_0 then converges toward our cage. According to the
general Wiener-Tauner theorem [4] every other lion L will converge
toward the same cage. (Alternatively we can approximate L arbitrarily
close by translating L_0 through the desert [5].)
2 Theoretical Physics Methods
2.1 The Dirac method
We assert that wild lions can ipso facto not be observed in the Sahara
desert. Therefore, if there are any lions at all in the desert, they
are tame. We leave catching a tame lion as an exercise to the reader.
2.2 The Schroedinger method
At every instant there is a non-zero probability of the lion being in
the cage. Sit and wait.
2.3 The Quantum Measurement Method
We assume that the sex of the lion is _ab initio_ indeterminate. The
wave function for the lion is hence a superposition of the gender
eigenstate for a lion and that for a lioness. We lay these eigenstates
out flat on the ground and orthogonal to each other. Since the (male)
lion has a distinctive mane, the measurement of sex can safely be made
from a distance, using binoculars. The lion then collapses into one of
the eigenstates, which is rolled up and placed inside the cage.
2.4 The nuclear physics method
Insert a tame lion into the cage and apply a Majorana exchange
operator [6] on it and a wild lion.
As a variant let us assume that we would like to catch (for argument's
sake) a male lion. We insert a tame female lion into the cage and
apply the Heisenberg exchange operator [7], exchanging spins.
2.5 A relativistic method
All over the desert we distribute lion bait containing large amounts
of the companion star of Sirius. After enough of the bait has been
eaten we send a beam of light through the desert. This will curl
around the lion so it gets all confused and can be approached without
danger.
3 Experimental Physics Methods
3.1 The thermodynamics method
We construct a semi-permeable membrane which lets everything but lions
pass through. This we drag across the desert.
3.2 The atomic fission method
We irradiate the desert with slow neutrons. The lion becomes
radioactive and starts to disintegrate. Once the disintegration
process is progressed far enough the lion will be unable to resist.
3.3 The magneto-optical method
We plant a large, lense shaped field with cat mint (nepeta cataria)
such that its axis is parallel to the direction of the horizontal
component of the earth's magnetic field. We put the cage in one of the
field's foci. Throughout the desert we distribute large amounts of
magnetized spinach (spinacia oleracea) which has, as everybody knows,
a high iron content. The spinach is eaten by vegetarian desert
inhabitants which in turn are eaten by the lions. Afterwards the
lions are oriented parallel to the earth's magnetic field and the
resulting lion beam is focussed on the cage by the cat mint lens.
[1] After Hilbert, cf. E. W. Hobson, "The Theory of Functions of a Real
Variable and the Theory of Fourier's Series" (1927), vol. 1, pp 456-457
[2] H. Seifert and W. Threlfall, "Lehrbuch der Topologie" (1934), pp 2-3
[3] According to the Picard theorem (W. F. Osgood, Lehrbuch der
Funktionentheorie, vol 1 (1928), p 178) it is possible to catch every lion
except for at most one.
[4] N. Wiener, "The Fourier Integral and Certain of its Applications" (1933),
pp 73-74
[5] N. Wiener, ibid, p 89
[6] cf e.g. H. A. Bethe and R. F. Bacher, "Reviews of Modern Physics", 8
(1936), pp 82-229, esp. pp 106-107
[7] ibid
----------
4 Contributions from Computer Science.
4.1 The search method
We assume that the lion is most likely to be found in the direction to
the north of the point where we are standing. Therefore the REAL
problem we have is that of speed, since we are only using a PC to
solve the problem.
4.2 The parallel search method.
By using parallelism we will be able to search in the direction to the
north much faster than earlier.
4.3 The Monte-Carlo method.
We pick a random number indexing the space we search. By excluding
neighboring points in the search, we can drastically reduce the number
of points we need to consider. The lion will according to probability
appear sooner or later.
4.4 The practical approach.
We see a rabbit very close to us. Since it is already dead, it is
particularly easy to catch. We therefore catch it and call it a lion.
4.5 The common language approach.
If only everyone used Ada/Common Lisp/Prolog, this problem would be
trivial to solve.
4.6 The standard approach.
We know what a Lion is from ISO 4711/X.123. Since CCITT have specified
a Lion to be a particular option of a cat we will have to wait for a
harmonized standard to appear. $20,000,000 have been funded for
initial investigations into this standard development.
4.7 Linear search.
Stand in the top left hand corner of the Sahara Desert. Take one step
east. Repeat until you have found the lion, or you reach the right
hand edge. If you reach the right hand edge, take one step
southwards, and proceed towards the left hand edge. When you finally
reach the lion, put it the cage. If the lion should happen to eat you
before you manage to get it in the cage, press the reset button, and
try again.
4.8 The Dijkstra approach:
The way the problem reached me was: catch a wild lion in the Sahara
Desert. Another way of stating the problem is:
Axiom 1: Sahara elem deserts
Axiom 2: Lion elem Sahara
Axiom 3: NOT(Lion elem cage)
We observe the following invariant:
P1: C(L) v not(C(L))
where C(L) means: the value of "L" is in the cage.
Establishing C initially is trivially accomplished with the statement
;cage := {}
Note 0:
This is easily implemented by opening the door to the cage and shaking
out any lions that happen to be there initially.
(End of note 0.)
The obvious program structure is then:
;cage:={}
;do NOT (C(L)) ->
;"approach lion under invariance of P1"
;if P(L) ->
;"insert lion in cage"
[] not P(L) ->
;skip
;fi
;od
where P(L) means: the value of L is within arm's reach.
Note 1:
Axiom 2 ensures that the loop terminates.
(End of note 1.)
Exercise 0:
Refine the step "Approach lion under invariance of P1".
(End of exercise 0.)
Note 2:
The program is robust in the sense that it will lead to
abortion if the value of L is "lioness".
(End of note 2.)
Remark 0: This may be a new sense of the word "robust" for you.
(End of remark 0.)
Note 3:
From observation we can see that the above program leads to the
desired goal. It goes without saying that we therefore do not have to
run it.
(End of note 3.)
(End of approach.)
----------
For other articles, see also:
A Random Walk in Science - R.L. Weber and E. Mendoza
More Random Walks In Science - R.L. Weber and E. Mendoza
In Mathematical Circles (2 volumes) - Howard Eves
Mathematical Circles Revisited - Howard Eves
Mathematical Circles Squared - Howard Eves
Fantasia Mathematica - Clifton Fadiman
The Mathematical Magpi - Clifton Fadiman
Seven Years of Manifold - Jaworski
The Best of the Journal of Irreproducible Results - George H. Scheer
Mathematics Made Difficult - Linderholm
A Stress-Analysis of a Strapless Evening Gown - Robert Baker
The Worm-Runners Digest
Knuth's April 1984 CACM article on The Space Complexity of Songs
Stolfi and ?? SIGACT article on Pessimal Algorithms and Simplexity Analysis
-------------------------------------------------------------------------------
From: Dick van der Sijs (D.A.vanderSijs@fys.ruu.nl)
Intercepted Mail:
July 5, 1997
Dear Sir,
I strongly object against the Integro-Differential Method [1]. There
are too little lions left on the earth to make this a justifiable
method. Actually, hereby I express my sincere concern against
advertising any method to catch a lion (in the desert or elsewhere)
apparently for the sole reason of catching it. Also, I question using
these methods for any reason not in the interest of an individual lion's
health or not benefitting the lion as a species.
So said, with best regards,
Dick van der Sijs
member of WWF
References:
[1] To catch a lion in the Sahara Dessert, Method 1.15 The
Integro-Differential Method, Science Jokes Collection,
Section Combined Sciences (1997)
-----------------------------------------------
July 6, 1997
Dear Dr. van der Sijs,
As regarding your letter of July 5 [1], I can assure you that the lion
catching project is completely beneficial.
The original purpose [2,3] was of course just to put some transmitters
on the lions [3], so that their migration patterns could be studied, so
that those regions could be made into national parks, where they would
not be disturbed. Some scientist just forget the use of projects and
just find new methods and call it "fundamental science", aka without
any use at all. This method [4,1] is clearly not ethical and will not
be used in further experiments.
With kind regards,
The project leader,
Member of WWF.
References:
[1] Personal communication, 1997.
[2] H. Petard, "A contribution to the mathematical theory of big game
hunting" in the American Mathematical Monthly, 1938.
[3] H. Petard, Personal communication, 1937.
[4] To catch a lion in the Sahara Dessert, Method 1.15 The
Integro-Differential Method, Science Jokes Collection (1997)
-------------------------------------------------------------------------------
Not a joke, but a humorous ditty I heard from some guys in an
engineering fraternity (to the best of my recollection):
I'll do it phonetically:
ee to the ex dee ex,
ee to the why dee why,
sine x, cosine x,
natural log of y,
derivative on the left
derivative on the right
integrate, integrate,
fight! fight! fight!
-------------------------------------------------------------------------------
The Programmers' Cheer --
Shift to the left, shift to the right!
Pop up, push down, byte, byte, byte!
-------------------------------------------------------------------------------
Other cheers:
E to the x dx dy
radical transcendental pi
secant cosine tangent sine
3.14159
2.71828
come on folks let's integerate!!
----------
E to the i dx dy
E to y dy
cosine secant log of pi
disintegrate em RPI !!!
----------
square root, tangent
hyperbolic sine,
3.14159
e to the x, dy, dx,
sliderule, slipstick, TECH TECH TECH!
----------
e to the u, du/dx
e to the x dx
cosine, secant, tangent, sine,
3.14159
integral, radical, u dv,
slipstick, slide rule, MIT!
----------
E to the X
D-Y, D-X
E to the X
D-X.
Cosine, Secant, Tangent, Sine
3.14159
E-I, Radical, Pi
Fight'em, Fight'em, WPI!
Go Worcester Polytechnic Institute!!!!!!
----------
Northwestern University Marching band's "The Calculus Cheer":
e to the x, dx/dy
e to the y, dy
cosine, tangent, inverse sine
add an asymptotic line
come on Wildcats, hold that line!
-------------------------------------------------------------------------------
Words in {} should be interpreted as greek letters:
Q: I M A {pi}{rho}Maniac. R U 1,2?
o <- read as "U-not"
A: Y ?
o
("I am a pyromaniac. Are you not one, too?" "Why not?")
F U \{can\} \{read\} Ths U \{Mst\} \{use\} TeX
("If you can read this, you must use TeX")
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Last modified 18-November-2001.