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The Long Green Crocodile

Prove that the crocodile is longer than it is wide.

Lemma 1. The crocodile is longer than it is green: Let's look at the crocodile. It is long on the top and on the bottom, but it is green only on the top. Therefore, the crocodile is longer than it is green.

Lemma 2. The crocodile is greener than it is wide: Let's look at the crocodile. It is green along its length and width, but it is wide only along its width. Therefore, the crocodile is greener than it is wide.

From Lemma 1 and Lemma 2 we conclude that the crocodile is longer than it is wide.

Buying Shoes

A shoeseller meets a mathematician and complains that he does not know what size shoes to buy. "No problem," says the mathematician, "there is a simple equation for that," and he shows him the Gaussian normal distribution. The shoeseller stares some time at the equation and asks, "What is that symbol?" "That is the Greek letter pi." "What is pi?" "That is the ratio between the circumference and the diameter of a circle." Upon this the shoeseller cries out: "What does a circle have to do with shoes?!"

Elephant in the Refrigerator

Analysis:

  1. Differentiate it and put into the refrig. Then integrate it in the refrig.
  2. Redefine the measure on the referigerator (or the elephant).
  3. Apply the Banach-Tarsky theorem.

Number theory:

  1. First factorize, second multiply.
  2. Use induction. You can always squeeze a bit more in.

Algebra:

  1. Step 1. Show that the parts of it can be put into the refrig. Step 2. Show that the refrig. is closed under the addition.
  2. Take the appropriate universal refrigerator and get a surjection from refrigerator to elephant.

Topology:

  1. Have it swallow the refrig. and turn inside out.
  2. Make a refrig. with the Klein bottle.
  3. The elephant is homeomorphic to a smaller elephant.
  4. The elephant is compact, so it can be put into a finite collection of refrigerators. That's usually good enough.
  5. The property of being inside the referigerator is hereditary. So, take the elephant's mother, cremate it, and show that the ashes fit inside the refrigerator.
  6. For those who object to method 3 because it's cruel to animals. Put the elephant's BABY in the refrigerator.

Algebraic topology:
Replace the interior of the refrigerator by its universal cover, R^3.

Linear algebra:

  1. Put just its basis and span it in the refrig.
  2. Show that 1% of the elephant will fit inside the refrigerator. By linearity, x% will fit for any x.

Affine geometry:
There is an affine transformation putting the elephant into the refrigerator.

Set theory:

  1. It's very easy! Refrigerator = { elephant }
  2. The elephant and the interior of the refrigerator both have cardinality c.

Geometry:
Declare the following:
Axiom 1. An elephant can be put into a refrigerator.

Complex analysis:
Put the refrig. at the origin and the elephant outside the unit circle. Then get the image under the inversion.

Numerical analysis:

  1. Put just its trunk and refer the rest to the error term.
  2. Work it out using the Pentium.

Statistics:

  1. Bright statistician. Put its tail as a sample and say "Done."
  2. Dull statistician. Repeat the experiment pushing the elephant to the refrig.
  3. Our NEW study shows that you CAN'T put the elephant in the refrigerator.

Fifty Men's Work

The unit engineer had just finished a talk on introducing mechanization in fatigue details. A sergeant reported thoughtfully: "Sir, I just discovered something that does the work of fifty men."

"What is it?" the officer got interested.

"Two hundred soldiers."

More Than A Hundred Percent

Have you all stopped to think where you fit in this equation? From a strictly mathematical viewpoint it goes like this: What makes 100%? What does it mean to give MORE than 100%? Ever wonder about those people who say they are giving more than 100%?

We have all been to those meetings where someone wants you to give over 100%. How about achieving 103%? Here??s a little mathematical formula that might help you answer these questions:If: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z is represented as: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26Then:H-A-R-D-W-O-R-K8+1+18+4+23+15+18+11 = 98%K-N-O-W-L-E-D-G-E11+14+15+23+12+5+4+7+5 = 96%But,A-T-T-I-T-U-D-E1+20+20+9+20+21+4+5 = 100%And,B-U-L-L-S-H-*-T21+12+12+19+8+9+20 = 103%AND, look how far ass kissing will take you:A-S-S??

K-I-S-S-I-N-G1+19+19+11+9+19+19+9+14+7 = a whopping 118%!!!!

So one can then conclude with mathematical certainty that:While Hard work and Knowledge will get you close and Attitude willget you there, Bullsh*t and Ass Kissing will put you over the top!

Economist Valentines

Top economist Valentine's Day cards:

  1. You raise my interest rate thirty basis points without a corresponding dropoff in consumer enthusiasm.
  2. Let's raise housing starts together.
  3. You stoke the animal spirits of my market.
  4. Despite your decade of inflation, I still love you.

Catching a Bandit

Two policemen are considering the problem of catching the bandit. One of them starts to calculate the optimal mixed strategy for the chase. The other policeman protests. 'While we're doodling,' he points out, 'he is making his getaway.' 'Relax,' says the game-theorist policeman. 'He's got to figure it out too, don't he?'

Why Study Economics

Top reasons to study Economics:

  1. Economists are armed and dangerous: "Watch out for our invisible hands."
  2. Economists can supply it on demand.
  3. You can talk about money without every having to make any.
  4. Mick Jagger and Arnold Schwarzenegger both studied economics and look how they turned out.
  5. When you are in the unemployment line, at least you will know why you are there.
  6. If you rearrange the letters in "ECONOMICS", you get "COMIC NOSE".
  7. Although ethics teaches that virtue is its own reward, in economics we get taught that reward is its own virtue.
  8. When you get drunk, you can tell everyone that you are just researching the law of diminishing marginal utility.
  9. When you call 1-900-LUV-ECON and get Kandi Keynes, you will have something to talk about.

Log of Negative One

Theorem: log(-1) = 0

Proof:
a. log[(-1)^2] = 2 * log(-1)
On the other hand:
b. log[(-1)^2] = log(1) = 0
Combining a) and b) gives:
2* log(-1) = 0
Divide both sides by 2:
log(-1) = 0