Real numbers and imaginary numbers are just defined phrases. They aren't related to the colloquial definitions of the words "real" and "imaginary" except in an intuitive sense.
>>12
Ah, the obligatory middle school moron thinking he can add something to the thread.
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Anonymous2007-12-19 12:12
Imaginary and complex numbers are just made up to make certain things simpler... you basically define a set of pairs and define addition and multiplication and it turns out you get a field. That's pretty much it.
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Anonymous2007-12-19 15:26
Real numbers are just made up to complete all limits of sequences of rational numbers. Complex numbers are just made up to algebraically complete the real numbers.
Now, onto REAL math! All the EXPERT ANALYSTS on this board know that 1/0 is infinity, -1/0 is minus infinity; but what is 0/0 (or, for that case, -0/0)? That question has trouble the greatest minds since Pythagoras, but I have now devised a solution! 0/0 is Nullity. What if an aeroplane or your pacemaker divided by zero? Thanks to my discovery of Nullity, you are safe.
A Cartesian field using imaginary numbers produces real numbers as areas. Cool ... so does that mean if -1 is a 0 dimensional entity, then i is a -1 dimensional entity?
0/0 is NULLITY, a new number which I use to solve 1200-year-old problems. For instance, the likes of Newton and Euler wondered, "What is 0^0?". Thanks to my INNOVATION, I can prove that 0^0 = 0/0 = Nullity. I should have mailed it to the Marx brothers!
>>1
Imaginary numbers are a tool used to represent and predict reality, just like irrational numbers, rational numbers, integers, and counting numbers. They are useful for, say, multiplying cos(t) with 2*cos(t + 30 degrees). Euler's Identity with e^(j*t) = cos(t) + j*sin(t)
note: EE here so I use sqrt(-1) = j by habit. Also the j comes first, so you write it as j3.33 or something like that.
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Anonymous2007-12-20 18:25
In my opinion the term "imaginary" is simply because when they were first concieved they had no "real" use, and the terminology has continued. They are no more "unreal" than real numbers, they are just an extension to them really.
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Anonymous2007-12-20 20:33
What's nullity/0? Can thar be imaginary nullity? lyk omg
>>32
Neither spelling is correct, idort. The correct spelling uses a character not found in English, and is "l'Hôpital". As such, all spellings using only English characters are incorrect. However, "l'Hospital" gets part marks for replacing the circumflex with an 's', as is usually the historic case, and "l'Hopital" better emulates its pronunciation. Dumbfuck. I can tell you're an EE with your shitty attitude.