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Faster French Fries

In January 1994, 'The Economist' magazine reported that one of Secretary of Energy Hazel O'Leary's success stories about government research scientists hired out for civilian business uses was the Argonne National Laboratory's helping McDonald's to find a way to speed up french frying. A team headed by physicist Tuncer Kuzay, who interrupted his work on advanced photons, placed sensors inside the frozen fries and was able to design special frying baskets to deal with the effect of steam created by melting ice crystals and to cut 30 to 40 seconds off each batch's frying time.

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Numbers Equal Zero

Theorem : All numbers are equal to zero.

Proof: Suppose that a=b. Then
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
a + b = b
a = 0
Furthermore if a + b = b, and a = b, then b + b = b, and 2b = b, which mean that 2 = 1.

Equal Positive Integers

Theorem: All positive integers are equal.

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.

Three Equals Four

Theorem: 3=4
Proof:
Suppose:
a + b = c
This can also be written as:
4a - 3a + 4b - 3b = 4c - 3c
After reorganizing:
4a + 4b - 4c = 3a + 3b - 3c
Take the constants out of the brackets:
4 * (a+b-c) = 3 * (a+b-c)
Remove the same term left and right:
4 = 3

N Equals N Plus One

Theorem: n=n+1
Proof:
(n+1)^2 = n^2 + 2*n + 1
Bring 2n+1 to the left:
(n+1)^2 - (2n+1) = n^2
Substract n(2n+1) from both sides and factoring, we have:
(n+1)^2 - (n+1)(2n+1) = n^2 - n(2n+1)
Adding 1/4(2n+1)^2 to both sides yields:
(n+1)^2 - (n+1)(2n+1) + 1/4(2n+1)^2 = n^2 - n(2n+1) + 1/4(2n+1)^2
This may be written:
[ (n+1) - 1/2(2n+1) ]^2 = [ n - 1/2(2n+1) ]^2
Taking the square roots of both sides:
(n+1) - 1/2(2n+1) = n - 1/2(2n+1)
Add 1/2(2n+1) to both sides:
n+1 = n

Dollars Equal Cents

Theorem: 1$ = 1c.

Proof:
And another that gives you a sense of money disappearing.
1$ = 100c
= (10c)^2
= (0.1$)^2
= 0.01$
= 1c
Here $ means dollars and c means cents. This one is scary in that I have seen PhD's in math who were unable to see what was wrong with this one. Actually I am crossposting this to sci.physics because I think that the latter makes a very nice introduction to the importance of keeping track of your dimensions.

Nobel Prize Farmer

A man is driving down a country road, when he spots a farmer standing in the middle of a huge field of grass. He pulls the car over to the side of the road and notices that the farmer is just standing there, doing nothing, looking at nothing.

The man gets out of the car, walks all the way out to the farmer and asks him:

- Ah excuse me mister, but what are you doing?

The farmer replies:

- I'm trying to win a Nobel Prize.

- How? - asks the man, puzzled.

- Well, I heard they give the Nobel Prize . . . to people who are out standing in their field.

Tree in the Forest

If a tree falls in the forest, and there's noone there to hear it, does it make a sound?

Not if it lands on a bunch of pillows.

New Periodic Table Elements

Element: WOMAN
Symbol: Wo
Atomic Weight: 120 (more or less)
Physical Properties: Generally round in form. Boils at nothing and may freeze anytime. Melts whenever treated properly. Very bitter if not used well.
Chemical properties: Very active. Possesses strong affinity to gold, silver, platinum, and precious stones. Violent when left alone. Able to absorb great amount of exotic food. Turns slightly green when placed beside a better specimen. Ages rapidly.
Usage: Highly ornamental. An extremely good catalyst for disintegration of wealth. Probably the single most powerful income reducing agent known.
Caution: Highly explosive in inexperienced hands.

Element: MAN
Symbol: XY
Common Name(s): Varies anywhere from John to !@#$&*!
Atomic Weight: 180 +/-100
Physical Properties: Solid at room temperature, but easily gets bent out of shape. Fairly dense and sometimes flaky. Difficult to find a pure sample. Due to rust, aging samples are unable to conduct electricity as easily as young, fresh samples.
Chemical Properties: Attempts to bond with Wo any chance it can get. Also, tends to form strong bonds with itself. Becomes explosive when mixed with Kd (element Kid) for a prolonged period of time. Neutralize by saturating with alcohol.
Usage: None really, except methane production. Good samples are able to produce large quantities on command.
Caution: In the absence of Wo, this element rapidly decomposes and begins to smell.