#math - Sun 22 Apr 2007 between 22:22 and 22:46

NY Lost Funds



Tarantulafudge|Steve|: so for -6y=x^2 the parabola would be vertical and open upward?
thermoplyaedownward
note the negative sign
Tarantulafudgethermoplyae: oh right, okay I see
parker`I thought matlab could do jacobians... I see a lot of tutorials on the net showing matlab doing jacobians with the function "jacobian()" but my version (the newest) doesn't seem to have this function
Raikirihttp://freshmeat.net/projects/asy/ A vector graphics language for technical drawing and LaTeX.
Tarantulafudgethermoplyae: can the length of the latus be negative? for that same example I'm getting -6
thermoplyaeWhat in the world is a 'latus'
And no, length is always positive
Tarantulafudgethermoplyae: latus rectum, sorry
"The line segment through the focus of a parabola and perpendicular to the axis of symmetry"
thermoplyaemmm
My guess is that you're forgetting an absolute value somewhere
Tarantulafudgethermoplyae: your right, I found it
thermoplyaeWhat luck
Tarantulafudgethermoplyae: lol sorry
thermoplyae: thank you for all your help
thermoplyaenp x2
yiLet F = Q(beta) be the splitting field for x^4 + 1 over Q. beta = 8th root of unity. Show that Aut(F/Q) has exactly four elements.
any ideas?
Cale8th root?
powerfox[Steve]: sorry to trouble you, but may you help me with last integral?
yiCale: beta = sqrt(i)
|Steve|The boss integral, if you will?
yiCale: or equivalently beta = (sqrt(2)/2) + (sqrt(2)/2)i
powerfoxsqrt ( (1+ arctgx)/(1-arctgx) ) * dx/ ( (1+x^2)*(1+arctgx) )
yiI showed that the minimal polynomial for beta over Q is x^4 + 1
Caleoh, I suppose it would be, yes
yisince that factors as (x^2+i)(x^2-i)
powerfoxIt is the second in my list, but I mist it for better time like now :)
yierr, sorry I meant to say that F = Q(beta) is the splitting field for x^4+1 over Q
Caleah, right, somehow I'd read x^4 + 1 as x^4 - 1 :)
powerfox*missed
CaleThat's why I was confused
yisince it factors as (x^2+i)(x^2-i), so x = +/- sqrt(i)
|Steve|arctgx is arctan(x)?
yibut Q(sqrt(i), -sqrt(i)) = Q(sqrt(i))
Caleright
powerfoxarc tangent, inverse tangent, sin/cos
yiso Aut(F/Q) = Aut(F)

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