Very Funny,ai mà cũng làm toán hồn nhiên như thế này thì...
http://haha.nu/funny/funny-math/
Theorem : 3=4
Proof:
Suppose:
a + b = c
This can also be written as:
4a - 3a + 4b - 3b = 4c - 3c
After reorganising:
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
Theorem : All numbers are equal to zero.
Proof: Suppose that a=b. Then
a = b
[TEX]a^2[/TEX] = ab
[TEX]a^2[/TEX] - [TEX]b^2[/TEX] = ab - [TEX]b^2[/TEX]
(a + b)(a - b) = b(a - b)
a + b = b
a = 0
Theorem: 1$(dollar) = 1c(cent).
Proof:
And another that gives you a sense of
money disappearing...
1$ = 100c
= [TEX](10c)^2[/TEX]
= [TEX](0.1$)^2[/TEX]
= 0.01$
= 1c
Theorem: 1 = -1
Proof:
$\frac{1}{-1}$ = $\frac{-1}{1}$
$\ sqrt[$\frac{ 1}{-1}$ ]$ =$\sqrt[$ {-1}{1} $]$
$\ sqrt[1]$*$\sqrt[1] $=$\ sqrt[-1]$*$\sqrt[-1]$
ie 1 = -1
Theorem: 4 = 5
Proof:
16 - 36 = 25 - 45
[TEX]4^2[/TEX] - 9*4 = [TEX]5^2[/TEX] - 9*5
$4^2$ - 9*4 + 81/4 = $5^2$ - 9*5 + $\frac{81}{4}$
$(4 - 9/2)^2$ =$ (5 - $\frac{9}{2})^2$
4 - $\frac{9}{2} = 5 - $\frac{9}{2}$
4 = 5
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.
Theorem: 1 + 1 = 2
Proof:
n(2n - 2) = n(2n - 2)
n(2n - 2) - n(2n - 2) = 0
(n - n)(2n - 2) = 0
2n(n - n) - 2(n - n) = 0
2n - 2 = 0
2n = 2
n + n = 2
or setting n = 1
1 + 1 = 2
Theorem: All numbers are equal.
Proof: Choose arbitrary a and b, and let t = a + b. Then
a + b = t
(a + b)(a - b) = t(a - b)
$a^2$ -$ b^2$ = ta - tb
$a^2$ - ta = $b^2$ - tb
$a^2$ - ta + $\frac{(t^2)}{4}$ =$ b^2$ - tb + $\frac{(t^2)}{4}$
$(a - $\frac{t}{2}$)^2$ = $(b -$\frac{t}{2})^2$
a - $\frac{t}{2}$ = b -$\frac{ t}{2}$
a = b
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
Theorem: 1 = 1/2:
Proof:
We can re-write the infinite series 1/(1*3) + 1/(3*5) + 1/(5*7) + 1/(7*9)
+...
as 1/2((1/1 - 1/3) + (1/3 - 1/5) + (1/5 - 1/7) + (1/7 - 1/9) + ... ).
All terms after 1/1 cancel, so that the sum is 1/2.
We can also re-write the series as (1/1 - 2/3) + (2/3 - 3/5) + (3/5 - 4/7)
+ (4/7 - 5/9) + ...
All terms after 1/1 cancel, so that the sum is 1.
Thus 1/2 = 1.
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.
New Math?
A boy was teaching a girl arithmetic, he said it was his mission.
He kissed her once; he kissed her twice and said, "Now that's addition."
In silent satisfaction, she sweetly gave the kisses back and said, "Now that's subtraction."
Then he kissed her, she kissed him, without an explanation.
And both together smiled and said, "That's
multiplication."
Then her Dad appeared upon the scene and made a quick decision.
He kicked that boy three blocks away and said, "That's long division!"
Topologist
A topologist is a person who doesn't know the difference between a coffee cup and a doughnut.
Statistician
A statistician is someone who is good with numbers but lacks the personality to be an accountant
Philosophy & Mathematics
Philosophy is a game with objectives and no rules.
Mathematics is a game with rules and no objectives.
A physicist and a mathematician
A physicist and a mathematician are sitting in a faculty lounge. Suddenly, the coffee machine catches on fire. The physicist grabs a bucket and leap towards the sink, filled the bucket with water and puts out the fire.
Second day, the same two sit in the same lounge. Again, the coffee machine catches on fire. This time, the mathematician stands up, got a bucket, hands the bucket to the physicist, thus reducing the problem to a previously solved one.
Open the Can
An chemist, a physicist, and a mathematician are stranded on an island when a can of food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can. Then suddenly the mathematician gets a bright idea: "Assume we have a can opener ..."
haha
The Equation of earnings
Engineers and scientists will never make as much money as business executives. Now a rigorous mathematical proof has been developed that explains why this is true:
Postulate 1: Knowledge is Power.
Postulate 2: Time is Money.
As every engineer knows,
Work = Power * Time
Since Knowledge = Power, and Time = Money, we have:
Work = Knowledge * Money
Solving for Money, we get:
Money = Work / Knowledge
Thus, as Knowledge decreases, Money increases, regardless of how much Work is done.
Conclusion: The Less you Know, the More you Make.
Note: It has been speculated that the reason why Bill Gates dropped out of Harvard's math program was because he stumbled upon this proof as an undergraduate, and dedicated the rest of his career to the pursuit of ignorance.
A mathematician, a physicist & an engineer
A mathematician, a physicist, an engineer went again to the races and laid their money down. Commiserating in the bar after the race, the engineer says, "I don't understand why I lost all my money. I measured all the horses and calculated their strength and mechanical advantage and figured out how fast they could run..."
The physicist interrupted him: "...but you didn't take individual variations into account. I did a statistical analysis of their previous performances and bet on the horses with the highest probability of winning..."
"...so if you're so hot why are you broke?" asked the engineer. But before the argument can grow, the mathematician takes out his pipe and they get a glimpse of his well-fattened wallet. Obviously here was a man who knows something about horses. They both demanded to know his secret.
"Well," he says, "first I assumed all the horses were identical and spherical..."
Football Math Test
A football coach walked into the locker room before a game, looked over to his star player and said, "I'm not supposed to let you play since you failed math, but we need you in there. So, what I have to do is ask you a math question, and if you get it right, you can play."
The player agreed, and the coach looked into his eyes intently and asks, "Okay, now concentrate hard and tell me the answer to this. What is two plus two?"
The player thought for a moment and then he answered, "4?"
"Did you say 4?" the coach exclaimed, excited that he got it right.
At that, all the other players on the team began screaming, "Come on coach, give him another chance!"
http://www.math.ualberta.ca/~runde/jokes.html
http://www.math.utah.edu/~cherk/mathjokes.html
http://www.ahajokes.com/math_joke_of_the_day.shtml
http://www.sgoc.de/math.html
Mathematician: 3 is a prime, 5 is a prime, 7 is a prime, and by induction - every odd integer higher than 2 is a prime.
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,...
Programmer: 3 is a prime, 5 is a prime, 7 is a prime, 7 is a prime, 7 is a prime,...
Salesperson: 3 is a prime, 5 is a prime, 7 is a prime, 9 -- we'll do for you the best we can,...
Computer Software Salesperson: 3 is prime, 5 is prime, 7 is prime, 9 will be prime
in the next release,...
Biologist: 3 is a prime, 5 is a prime, 7 is a prime, 9 -- results have not arrived yet,...
Advertiser: 3 is a prime, 5 is a prime, 7 is a prime, 11 is a prime,...
Lawyer: 3 is a prime, 5 is a prime, 7 is a prime, 9 -- there is not enough evidence to prove that it is not a prime,...
Accountant: 3 is prime, 5 is prime, 7 is prime, 9 is prime, deducing 10% tax and 5% other obligations.
Statistician: Let's try several randomly chosen numbers: 17 is a prime, 23 is a prime, 11 is a prime...
Professor: 3 is prime, 5 is prime, 7 is prime, and the rest are left as an exercise for the student.
Computational linguist: 3 is an odd prime, 5 is an odd prime, 7 is an odd prime, 9 is a very odd prime,...
Psychologist: 3 is a prime, 5 is a prime, 7 is a prime, 9 is a prime but tries to suppress it,...
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