Pi * 1337% = 42. My mind is blown.
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The hotel room money trick is just that a trick. Nothing happened to the dollar it is just written in a way that unrelated items seem related and lead you to believe the totals added up wrong.MadeinHell said:
.999... = 1 however isn't a trick. But makes sense when you really start to think about it.
Infinity divided by 2 is 0 because theoretically there are infinite positive and negative numbers so the the very center is 0.
Deionized distilled water is not very conductive, they even call it Low Conductivity Water (LCW) and use it in special applications to cool electronics. Orcboyphil had it correct, it's a very poor conductor. However water is very good at facilitating an arc. You will actually see much longer arcs through water then you would through air. That is where most of the danger comes from.SimuLord said:
That is because pi is an irrational number - a number that cannot be expressed as a fraction. Irrational numbers tend to have a way to transform into rational numbers. A real number that is not a perfect square (that is, any number that is not the result of some number squared), will result in an irrational number if you take the square root (sqrt(2) is irrational). If you multiply this irrational number by itself, the original rational number is retrieved (2). In other words, the way one transforms an irrational number into a rational one is to reverse the mathematical process that created the irrational number in the first place.Zeeky_Santos said:
With pi, this is tricky as pi is simply the ratio of a circle's circumference to it's diameter (pi = circumference/diameter), and one of the two numbers involved in reversing the calculation is, itself, irrational. pi * 13.37 is therefore equivalent to a circle who's circumference is roughly 42.0031 units. It would be trivial to find a diameter value that will result in what appears to be exactly 42 on your average calculator (13.369015219719208204586236123291 for windows 7 calculator).
That is true, however, infinity / infinity could, in fact equal 2. Indeed, infinity / infinity is equal to the set of real numbers. That means any real number provides a correct answer to the operation, making the accepted solution to the problem undefined (infinity / infinity = 2, infinity / infinity = 3, 2 != 3).Coldie said:
It is indeed true. If you express the value, instead as the sum of 9(.1)^n, where n ranges from 1 to infinity, you have an infinite arithmetic series. Since math at infinity is not directly possible, we can examine what happens as n approaches infinity. In this case, the limit simply approaches 1, meaning that, after the sum of this infinite series is, indeed 1.manaman said:
A better way to describe it that does not involve the dark magicks of calculus uses simple algebra. Remember for a moment the fundamental theorem of Algebra: An equation of nth degree has exactly n solutions.
The series 0.999... will stand in for n.
10n = 9.999... (the trailing elapses indicates the series continues to infinity)
10n - n = 9.999... - 0.999...
9n = 9
n = 1
The fundamental theorem of algebra thus indicates that .999... is equivalent to 1 as this first degree equation must have one solution.
It should be mentioned as a caution that mathematical fallacy is commonly used in an attempt to prove silly things like 2 = 1. In many cases, the fallacy lies in a non-obvious division by zero somewhere hidden in the middle of the associated proof.
Correct. Although, to be fair, inf/inf is no simple manipulation, and, just like 0/0, is a special case that can be trivially inferred from its aforementioned absorbing quality in multiplication (and, incidentally, addition).Eclectic Dreck said:
Naturally, it all gets more complicated/fun with cardinals and ordinals.
You, sir or ma'am, have the second best avatar in existence; second only to mine.Eukaryote said:
OT: That's totally rad.
Seriously? I gotta try that out.Marter said:
Let that be my moment there, along with OP's post.
Okay.
Pick a 3 digit number.
Write it out twice, so if you picked 471, you write 471,471.
Divide that number by 7, then divide the answer by 11, then divide that by 13.
Alternatively, multiply your three digit number by 7, then the answer by 11, then 13, 101 and 9901.
Pick a 3 digit number.
Write it out twice, so if you picked 471, you write 471,471.
Divide that number by 7, then divide the answer by 11, then divide that by 13.
Alternatively, multiply your three digit number by 7, then the answer by 11, then 13, 101 and 9901.
Both those are not really hard (the first one is not really a question of logic but a question of character). The second one is the easiest riddle ever if you know what to ask.matt87_50 said:
2+2=?
