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June 4th, 2009, 11:41 AM   #1
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Algebra and it applications

I knew that Algebra was important as I could use it to solve words problems. Like 5 dollars for 4 kg of certain fruits and I want to buy 12 kg, how much do I pay. Thus one can introduce variables to represent unknown/s and then solve them. But then when it come to signal theirs representation in algebra are functions so can one can make a listening maching that can tell the different between the "same sound" without any increase in hardware sophisication.

Is it possible to make a bug so small and smart that it is literately contain a computer system faster than any computer system currently avaliable.

Edit: I think so, in fact, I think one can design a supercomputer the size of a little bug just using current technology. I think mathematics exist for a reason.

Which is harder in term of mathematical mechanic (fg) or (f+g). I would argue that it is harder to compute (f+g). Simply base on the valid pathway of (f+g)=(1f)((1*)g) pointwise for certain collection of the function 1.
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June 5th, 2009, 05:19 PM   #2
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Re: Algebra and it applications

Dude, do your posts ever have any kind of purpose, apart from pretending to ask questions so that you can aimlessly ramble to yourself?

And problems like "5 dollars for 4 kg of certain fruits and I want to buy 12 kg, how much do I pay" are hardly "algebra"; more like elementary arithmetic. Algebra deals with algebraic structures such as groups, rings, fields, vector spaces...
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June 7th, 2009, 08:04 AM   #3
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Re: Algebra and it applications

Yeah, you probabily right. Anyway, I was "calculating" some probability density function over it entire domain and "got over 100 percent" figure I was "drunk" so wait till morning to "compute" again. Again, it was over 100 percent and could have "negative percent" in other situation. The probability density function come from the assumption that it was someone waiting for a bus that show up every five minute and the frequencies over the years he observed is proportional to the amount of time he wait. It certainly make sense in term of mathematics, but logically the inverval upons which the bus driver show up is [0, 5] by assumption which is restricted to exactly that use for precise, fair and comprehensive computation. It probabily have to do with the quality of the bus mechanic, but still, it assumption restrict the probability ratio to exactly that. I think percent is a unit of measurement that is not physical and is a true unit of measurement in mathematics. Logically I have not situated to make sense of it, but in term of application it could be use to compute the bus driver experience, the quality of the bus or other factors which is precise, clear and comprehensive, without direct interaction or observation.
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