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Off Topic / Ooooooo Fun Game
« on: March 03, 2004, 12:24:31 AM »
I got to level 32 before giving up.
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This is only true if the aliens are less than competant.Unless the aliens greatly outskill the marines, whether the aliens can hold many nodes depends almost exclusively on how aggressively the marines play. Even Skulks working in groups cannot hope to defeat grouped marines with commander support with any reasonable consistency.
Should we go create another thread on it?Well, it would certainly help us reach 9000 that much quicker if this thread is any indication. This thread and its offshoot contributed to nearly 12% of the 1000 posts that have been made since this thread was created.
By 'manuevers', do you mean 'bunny hopping'? Thats the only 'manuever' that I could think of that might be affected by a change in gravity.More than just that. Things like leaping and blinking would be heavily affected as well. For someone who doesn't play exclusively on this server, it would be difficult adjusting every time they came here from a different server, or vice versa.
The real question is how long it will take before a mod realizes that people are just using this thread for postcount++ purposes and puts a lock on it.Though it does become awkward when even the moderators are using it as such.
Civilian usually you denote positive or negative infinity to show continuously increasing or negatively increasing numbers.But that is only when infinity is viewed as a mere concept, designed only to serve such fuctions as that which you mention. When infinity is viewed as the quotient of any number and zero, it becomes apparent that infinity is neither positive nor negative.
There is a well established difference.
Maybe I should have said positive values. Infinity is, by nature, positive.Infinity is as positive as zero. Exceed infinity (from the positive standpoint) and negativity results, as can be seen here: 2/2, 2/1, 2/0, 2/-1. (I am, again, using the premise that division by zero is infinite.)
Wrong. For any real number x, 1/(x+1) is nonzero. Therefore the rest of this proof is uselessThat is true; but also true is that for any real number x, x + 1 is finite.
False. This inequality is only valid for positive numbers. Zero is not a positive number. Therefore the rest of this proof is useless.Nor is infinity a positive number.
Unfortunately, this doesn't hold up either. Any rule breaks down at certain points. This rule breaks down when both sides of the equation are undefined as in your example. It can't really be used to prove this. Of course, BlackMage's proof in this case also has some problems, because the "reduce" step is not as simple as he is making it out to be when one is dealing with infinityThat division by zero is not undefined, but rather infinite is one of the things I have been arguing all along. Without it as a premise I do not claim infinity to be a number.
∞ > everythingAllow me to reword:
20 * ∞ = ∞
1 * ∞ = ∞
20 > 1
(20 * ∞) > (1 * ∞)
by defenition ∞ is:
for any real x
∞ = x + 1
therefore anything less than infinity is x
x is real
20 > 1
(20 * ∞) > (1 * ∞)
20 * ∞ = ∞
1 * ∞ is less than ∞
1 * ∞ is therefore real
false
20 * ∞ = 1 * ∞20 * 0 = 1 * 0
for any a*b = c*d
a/d = c/b
therefore
20/∞ = 1/∞
reduce
20 = 1
Infinity may not be already defined as a number, but if that is the case then I am defining infinity as a number.To clarify on this, I do not see why it cannot be regarded as a number. Undefinable? Just as you could say one represents a single object and zero represents no objects, you could say infinity represents an infinite number of objects. Intangible? Zero is no more tangible than infinity.
I think we need to make meandering threads, then seal the doors and gas everyone that posted in it :pThat group would seem to include you.
That is the one oddball example where nothing really holds true, just because of the fact 0 divided by 0 is undefined.Simulating zero with increasingly small numbers also fails to work when multiplying it by infinity (assuming infinity is always simulated with a number that is equally large as the number that is used to simulate zero is small, or assuming infinity is truly infinite). Likewise, simulating infinity with increasingly large numbers works in all situations except multiplication of it by zero and division of it by itself.
In pretty much every other example this holds true. If f(0) = 3, the closer and closer your x values come to 0, the closer and closer your f(x) values will come to 3. Unless you have a jump discontinuity, the value of a function will always be the same as the limit.