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September 30, 2025, 03:20:01 pm

Author Topic: lol this is funny  (Read 1066 times)  Share 

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TrueTears

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lol this is funny
« on: January 17, 2010, 12:02:05 am »
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Solve

Clearly something of the form will not have solutions.

But...





Thus

 :uglystupid2: :uglystupid2: :uglystupid2:

What do we define in these situations?
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Mao

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Re: lol this is funny
« Reply #1 on: January 17, 2010, 01:11:24 am »
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Clearly something of the form will not have solutions.

For , yes, that would be true. If u happens to be 'infinity', or something ridiculous like that, it may well be possible that the statement is true.

When solving , remember the maximal domain is [maximal domain of tan(x)], and also [cannot divide by 0]

You need to be very careful in the statement that , the domain of these two functions are not the same, hence in this situation, not applicable.

So is there a solution to this? Limits would say yes, domain would say no. Practicality would say 'I don't care, why does it matter'. :P

[To '10 specialist students, don't worry if you cannot understand this now, you will soon :)]
« Last Edit: January 17, 2010, 01:14:23 am by Mao »
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TrueTears

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Re: lol this is funny
« Reply #2 on: January 17, 2010, 01:17:25 am »
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haha true.

In the case of the context where this question came from, I was actually sketching and wanted to find the turning points which lead to the equation which in this case I guess there would be solutions.

But yes if it was just purely solving then the domain definition would suffice and there would be no solutions for  :D :D :D :D :D
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Juddinator

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Re: lol this is funny
« Reply #3 on: January 17, 2010, 02:37:49 pm »
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[quote[To '10 specialist students, don't worry if you cannot understand this now, you will soon :)]
[/quote]
Good to know! :D

NE2000

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Re: lol this is funny
« Reply #4 on: January 18, 2010, 03:22:26 pm »
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TrueTears

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Re: lol this is funny
« Reply #5 on: January 18, 2010, 03:31:27 pm »
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Yeah, it's pretty trivial actually, just different definitions. Whatever suits the concept, use that definition :)
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Interested in asset pricing, econometrics, and social choice theory.