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#math
<Olathe> If it's one of those, do both of the logs work out ?
<Olathe> There is a log(1)
<Olathe> % Log[3, 1]
<mbot> Olathe: 0
<Olathe> It gives a result, so you can put it in for that part of f.
<Olathe> If all the parts end up filled in, f is filled in.
<kaizoku> Thank you Olathe!!
<Olathe> No problem.
<beck> hello
<Olathe> Hi.
<beck> i just have a little question , i hope someone can help me
<beck> Is the union of Aleph0 closed sets closed?
<beck> i think not , because if i have [0,1-1/n ] n->inf
<beck> but im not sure
<beck> if that is [0,1)
<beck> with n in the naturals
<Olathe> It's not really a limit.
<Olathe> You have [0, 1-1/n] for all n in the naturals.
<beck> yes
<Olathe> 1 is never in that, but anything in [0, 1) is.
<beck> i just want to give a counter example of a problem (False or True)
<Olathe> For any x in [0, 1) x is in one of the sets. 1 is not in any of the sets.
<beck> yes
<beck> The problem is "If { A1 , A2 , A3 ... } if a infinite countable collection of closed sets in R^2 => The union of i=0 to inf of Ai is closed"
<peachfuzz> how do u write 3+3i in eulers form
<Olathe> peachfuzz: The slope of that is 1, so what angle gives that ?
<peachfuzz> well that is 3rad(2)
<Olathe> What is 3rad(2) ?
<Olathe> (I haven't seen that notation)
<Olathe> Oh, 3 Sqrt[2]
<Olathe> Yes, the radius is 3 Sqrt[2].
<Mulder> % FullSimplify[ (x^2 + 2x)^(1/6) / (3x + 6)^(1/2)]
<mbot> Mulder: (2*x + x^2)^(1/6)/Sqrt[6 + 3*x]
<beck> Olathe, sorry for insist , so 'im right' giving that counter example and saying that is false
<Olathe> r E^(angle I)
<Olathe> So, you need the angle.
<Olathe> beck: Yep.
<Cpudan80> Ok - question
<Cpudan80> I have this linear algebra problem - as follows:
<Cpudan80> Find all x in R^4 that are mapped into the zero vector by the transformation x --> Ax for the given matrix
<beck> Olathe, thank you
<Cpudan80> So -- how would I go about solving that problem?
<abasinisvacant> calculus and alcohol don't mix: don't drink and derive
<Dacicus> Drinking in general is bad.
<Olathe> beck: You're welcome.
<Cpudan80> All help is appreciated :)
<gzl> Cpudan80: if x = (x_1, x_2, x_3, x_4), what is Ax equal to?
<Cpudan80> gzl: So that's all I have to do?
<Cpudan80> let x = x1, x2... <num columns>
<Cpudan80> then multiply each row by the vector of xs?
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