The squaw on the hippopotamus is equal to the sum of the squaws on
the other two hides.
Did you hear the one about the statistician? Probably....
"Of course he can't do it. Why, you're putting Descartes before the horse!"
Elephant banana sine theta in a direction mutually perpendicular to the two as determined by the right hand rule."
**** 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.
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.
Mathematician: 3 is a prime, 5 is a prime, 7 is a prime, 9 is not a prime - counterexample - claim is false.
Physicist: 3 is a prime, 5 is a prime, 7 is a prime, 9 is an experimental error, 11 is a prime, ...
Engineer: 3 is a prime, 5 is a prime, 7 is a prime, 9 is a prime, 11 is a prime, ...
"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!"
E says "How do you understand this stuff?"
M: "I just visualize the process"
E: "How can you POSSIBLY visualize somrthing that occurs in 9-dimensional
space?"
M: "Easy, first visualize it in N-dimensional space, then let N go
to 9"
Late that night, the engineer awoke, and decided to avail himself of the lavatory facilities. Going up the stairs, he smelled smoke, and indeed, at the end of the hall he saw a fire. Finding a hose on the wall, he turned it on, ran down the hall, and extinguished the fire. He then visited the bathroom, and returned to bed.
An hour later, the physicist awoke, and felt the call of nature. As he went upstairs, he smelled smoke, and found that there was a fire. Finding the hose, he whipped out his calculator, figured out the amount of water needed to extinguish a fire of that size, calculated the flow rate of the hose, turned it on for exactly 15.24 minutes, and extinguished the fire. He then used the bathroom, and returned to bed.
Later still, the mathematician awoke and decided that he needed to use the bathroom. Going upstairs, he too found the olbligatory smoke and fire. Looking around in a panic, he found the fire hose. He then said, "Aha! A solution exists!" And after using the bathroom, he returned to bed.
Now the problem becomes more complicated: The tea pot filled with water is standing on the stove. The task is the same.
PHYSICIST: turns on a fire and heats the water. MATHEMATICIAN: Pours out the water and the problem is reduced to the previous one.
S. What the acorn said when he grew up
N. bisects
u. A dead parrot
g. center
F. What you should do when it rains
R. hypotenuse
m. A guy who has been to the beach
H. coincide
h. The set of cards is missing
y. polygon
A. The boy has a speech defect
t. secant
K. How they schedule gym class
p. tangent
b. What he did when his mother-in-law wanted to go home
D. ellipse
O. The tall kettle boiling on the stove
W. geometry
r. Why the girl doesn't run a 4-minute mile
j. decagon
A physicist will be able to explain how the shell gets there
An engineer will stand there and try to catch it
Caveat: While this joke mentions Polish people, it is not, in my opinion, in the catagory of the infamous Polish jokes. I hope no one is offended but only humored.
Mrs. Johnson the elementary school math teacher was having children do problems on the blackboard that day.
``Who would like to do the first problem, addition?''
No one raised their hand. She called on Tommy, and with some help he finally got it right.
``Who would like to do the second problem, subtraction?''
Students hid their faces. She called on Mark, who got the problem but there was some suspicion his girlfriend Lisa whispered it to him.
``Who would like to do the third problem, division?''
Now a low collective groan could be heard as everyone looked at nothing in particular. The teacher called on Suzy, who got it right (she has been known to hold back sometimes in front of her friends).
``Who would like to do the last problem, multiplication?''
Tim's hand shot up, surprising everyone in the room. Mrs. Johnson finally gained her composure in the stunned silence. ``Why the enthusiasm, Tim?''
``God said to go fourth and multiply!''
Engineer (after 3 minutes, with a slide rule): "The answer is precisely 3.9974."
Physicist (after 6 hours of experiments): "The value is approximately 4.002, with an error of plus-or-minus 0.005."
Mathematician (after a week of calculation): "Well, I haven't found an answer yet but I CAN prove that an answer exists."
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 mathematican lights a fire in the corner, and says "I have reduced it to the previous problem."
Little snakes: "But we can't, we're adders."
Mummy snake: "You can do it in logs."
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. He works it out with a pencil.
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!
A: An abelian grape.
A: Zorn's Lemon.
A: Because he left a residue at every pole.
A: That's the Law of Spline Demand.
Heisenberg might have slept here.
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 dessicated 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...
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 he leans over the basket and yells out, "Helllloooooo! Where are we?" (They hear the echo several times).
15 minutes later, they hear this echoing voice: "Helllloooooo! You're lost!!"
One of the men says, "That must have been a mathematician."
Puzzled, one of the other men asks, "Why do you say that?"
The reply: "For three reasons. (1) he took a long time to answer, (2) he was absolutely correct, and (3) his answer was absolutely useless."
In the beginning there was only one kind of Mathematician, created by the Great Mathamatical Spirit form the Book: the Topologist. And they grew to large numbers and prospered.
One day they looked up in the heavens and desired to reach up as far as the eye could see. So they set out in building a Mathematical edifice that was to reach up as far as "up" went. Further and further up they went ... until one night the edifice collapsed under the weight of paradox.
The following morning saw only rubble where there once was a huge structure reaching to the heavens. One by one, the Mathematicians climbed out from under the rubble. It was a miracle that nobody was killed; but when they began to speak to one another, SUPRISE of all suprises! they could not understand each other. They all spoke different languages. They all fought amongst themselves and each went about their own way. To this day the Topologists remain the original Mathematicians.
- adapted from an American Indian legend of the Mound Of Babel
Mathematician: Pi is thenumber expressing the relationship between the circumference of a circle and its diameter.
Physicist: Pi is 3.1415927plus or minus 0.000000005
Engineer: Pi is about 3.
Proof (by induction):
Case n=1: In a set with only one horse, it is obvious that all horses in that set are the same color.
Case n=k: Suppose you have a set of k+1 horses. Pull one of these horses out of the set, so that you have k horses. Suppose that all of these horses are the same color. Now put back the horse that you took out, and pull out a different one. Suppose that all of the k horses now in the set are the same color. Then the set of k+1 horses are all the same color. We have k true => k+1 true; therefore all horses are the same color.
Proof (by intimidation):
Everyone would agree that all horses have an even number of legs. It is also well-known that horses have forelegs in front and two legs in back. 4 + 2 = 6 legs, which is certainly an odd number of legs for a horse to have! Now the only number that is both even and odd is infinity; therefore all horses have an infinite number of legs.
However, suppose that there is a horse somewhere that does not have an infinite number of legs. Well, that would be a horse of a different color; and by the Lemma, it doesn't exist.
QED
Prove that all odd integers are prime.
Well, the first student to try to do this was a math student. Hey says "hmmm... Well, 1 is prime, 3 is prime, 5 is prime, and by induction, we have that all the odd integers are prime."
Of course, there are some jeers from some of his friends. The physics student then said, "I'm not sure of the validity of your proof, but I think I'll try to prove it by experiment." He continues, "Well, 1 is prime, 3 is prime, 5 is prime, 7 is prime, 9 is ... uh, 9 is an experimental error, 11 is prime, 13 is prime... Well, it seems that you're right."
The third student to try it was the engineering student, who responded, "Well, actually, I'm not sure of your answer either. Let's see... 1 is prime, 3 is prime, 5 is prime, 7 is prime, 9 is ..., 9 is .., well if you approximate, 9 is prime, 11 is prime, 13 is prime... Well, it does seem right."
Not to be outdone, the computer science student comes along and says "Well, you two sort've got the right idea, but you'd end up taking too long doing it. I've just whipped up a program to REALLY go and prove it..." He goes over to his terminal and runs his program. Reading the output on the screen he says, "1 is prime, 1 is prime, 1 is prime, 1 is prime...."
The biologist : "Look! There's a herd of zebras! And there, in the middle : A white zebra! It's fantastic ! There are white zebra's ! We'll be famous !"
The statistician : "It's not significant. We only know there's one white zebra."
The mathematician : "Actually, we only know there exists a zebra, which is white on one side."
The computer scientist : "Oh, no! A special case!"
1 + 1 = 3, for large values of 1
The lawyer says: "For sure a mistress is better. If you have a wife and want a divorce, it causes all sorts of legal problems.
The doctor says: "It's better to have a wife because the sense of security lowers your stress and is good for your health.
The mathematician says: " You're both wrong. It's best to have both so that when the wife thinks you're with the mistress and the mistress thinks you're with your wife --- you can do some mathematics.
Weiner was in fact very absent minded. The following story is told about him: When they moved from Cambridge to Newton his wife, knowing that he would be absolutely useless on the move, packed him off to MIT while she directed the move. Since she was certain that he would forget that they had moved and where they had moved to, she wrote down the new address on a piece of paper, and gave it to him. Naturally, in the course of the day, an insight occurred to him. He reached in his pocket, found a piece of paper on which he furiously scribbled some notes, thought it over, decided there was a fallacy in his idea, and threw the piece of paper away. At the end of the day he went home (to the old address in Cambridge, of course). When he got there he realized that they had moved, that he had no idea where they had moved to, and that the piece of paper with the address was long gone. Fortunately inspiration struck. There was a young girl on the street and he conceived the idea of asking her where he had moved to, saying, "Excuse me, perhaps you know me. I'm Norbert Weiner and we've just moved. Would you know where we've moved to?" To which the young girl replied, "Yes daddy, mommy thought you would forget."
The capper to the story is that I asked his daughter (the girl in the story) about the truth of the story, many years later. She said that it wasn't quite true -- that he never forgot who his children were! The rest of it, however, was pretty close to what actually happened...
Proof:
No cat has eight tails. A cat has one tail more than no cat. Therefore,
a cat has nine tails.
So, they decided to consult the foremost biologists and recombinant DNA technicians to build them a better cow. They assembled this team of great scientists, and gave them unlimited funding. They requested rare chemicals, weird bacteria, tons of quarantine equipment, there was a God-awful typhus epidemic they started by accident, and, 2 years later, they came back with the "new, improved cow." It had a milk production improvement of 2% over the original.
They then tried with the greatest Nobel Prize winning chemists around. They worked for six months, and, after requisitioning tons of chemical equipment, and poisoning half the small town in Colorado where they were working with a toxic cloud from one of their experiments, they got a 5% improvement in milk output.
The physicists tried for a year, and, after ten thousand cows were subjected to radiation therapy, they got a 1% improvement in output.
Finally, in desperation, they turned to the mathematicians. The foremost mathematician of his time offered to help them with the problem. Upon hearing the problem, he told the delegation that they could come back in the morning and he would have solved the problem. In the morning, they came back, and he handed them a piece of paper with the computations for the new, 300% improved milk cow.
The plans began:
"A Proof of the Attainability of Increased Milk Output from Bovines:
Consider a spherical cow......"
Proof : Sufficient to show that for any two positive integers, A and B, A = B. Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.
Proceed by induction.
If N = 1, then A and B, being positive integers, must both be 1. So
A = B.
Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.