Cumulative General Science/Technology Quiz

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Alright, back to computing science then. :D

Give simple, naturally occuring examples of the following:
A) A countable infinite set
B) An uncountable infinite set
C) A countable finite set
D) An uncountable finite set
 
Alright, back to computing science then. :D

Give simple, naturally occuring examples of the following:
A) A countable infinite set
B) An uncountable infinite set
C) A countable finite set
D) An uncountable finite set

C) Humans
D) Intelligent lifeforms in the universe

What's infinite that occurs in nature? We don't know if the universe is infinite or not..
 
Well, maybe I phrased it a bit too ambiguous. By naturally occuring I don't really mean occuring in nature. I'm expecting mathematical answers, just not contrived ones.
 
A) Integers
B) Real numbers
C) {1, 2}
D) Aren't all finite sets countable? Thus, no can do.
 
:goodjob: Correct, D was a trick question. Uncountable implies infinite. Your go. :)
 
For what merits and in which category was Albert Einstein awarded the Nobel Prize?
 
dang, not a clue! I suck at this game ;)
 
He got the 1921 nobel prize in Physics, especially for the photoelectric effect.
 
What is the basic principle that allows a quantum computer to be much faster than a normal computer?
 
Superposition allows for a 3rd state, allowing it to be base 3 instead of the standard binary base 2?

Well, technically it isn't a full 3rd basis set, since it is an uncertainty term. But I REALLY didn't understand all the math theory about it, and this is based off a theory paper from about 10 years ago, so could be far off by today.
 
Superposition allows for a 3rd state, allowing it to be base 3 instead of the standard binary base 2?
The key is superpositions, however the goal is not to create a 3rd state.
 
Superposition allows a quantum "qubit" to assume both states at the same time, or rather any possible combination of states. This allows far more states to be represented with only a few qubits - it takes 2n normal registers to represent a value held by n qubits. I've had it explained to me several times, but I never really understood it. :crazyeye:
 
Superposition allows a quantum "qubit" to assume both states at the same time, or rather any possible combination of states. This allows far more states to be represented with only a few qubits - it takes 2n normal registers to represent a value held by n qubits. I've had it explained to me several times, but I never really understood it. :crazyeye:

That's it. Your turn.
 
Ok, haven't had time to think of a really good question, so we'll try this:

Give integer solutions for a, b and c such that a3 + b3 = c3 .

I know this is close to what Catharsis posted we shouldn't post, but this question is a bit special. :mischief:
 
Bah, I was hoping someone wouldn't think of the 0's solution, so I could stump them a bit by saying there was a solution. But yeah, you're right, your go. :)
 
EDIT: Actually, my answer to Niklas's question isn't really a full one. It should probably be:

a or b must = 0
If a = 0, b must = c
If b = 0, a must = c

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Alright, I don't know much about this topic but let's see how it goes. Which is the odd one out, and why:

Mercalli scale
Shindo scale
MSK-64 scale
Rossi-Forel scale
Moment magnitude scale
 
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