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Comments:
<0> Catfive, Hey, are you there?
<1> Catfive, is there any "simpler" way to prove the triangle inequality for z \in C?
<1> that doesn't go through the cauchy schwarz inequality
<2> isnt the triangle equality exactly the same as cauchy-schwarz there?
<1> is it?
<2> i thought so, but you should check what each statement actually says
<1> as i understand it, for only two numbers (the case i'm interested in)
<1> |z1 z2| <= |z1| |z1|
<1> this is cauchy schwarz
<2> did you miss out some + signs?
<1> not really
<1> let me check again
<2> |z1.z2| is equal to |z1|.|z2| i would think
<1> yes
<1> hm
<3> z1*z2 isn't the equivalent of the dot product in C
<3> It's Re(z1*~z2), where ~z is the conjugate of z
<0> _llll_, Hey
<2> hi
<4> what's a good rigrous book to mathematicla statistics? (along the lines of rudin's principles of mathematical analysis; and ;probability w/ measure theory)
<5> % help
<6> Olathe: "See http://documents.wolfram.com/v5/ for detailed Mathematica help."
<7> mbot seems to be ignoring me.
<5> % Sum[IntegerDigits[1000]]
<6> Olathe: {1, 0, 0, 0}
<5> % Plus[IntegerDigits[1000]]
<6> Olathe: {1, 0, 0, 0}
<5> Bah
<7> % IntegerDigits[1000]
<6> Steve|Office: {1, 0, 0, 0}
<5> % Apply[Plus, IntegerDigits[1000]]
<6> Olathe: 1
<5> % Apply[Plus, IntegerDigits[99]]
<7> Nice,
<6> Olathe: 18
<7> % Sum[Apply[Plus, IntegerDigits[n]],{n,1,1000}]
<6> Steve|Office: 13501
<7> mbot doesn't seem to want to respond to private messages.
<5> Doesn't respond to me, either.
<2> brokenbot
<5> @botsmack
<6> :)
<5> It likes being smacked, too.
<8> is this the correct way to dervidae the following function ? f(x)=sqrt(a^2-(X^2/2) ===> f'(X)= -2x/2*sqrt(a^2-(X^2/2)
<7> X and x are different.
<7> And the word you're looking for is differentiate.
<8> hm
<7> % f[x_]=Sqrt[a^2-x^2/2]; f'[x]
<6> Steve|Office: -x/(2*Sqrt[a^2 - x^2/2])
<8> Steve|Office why dont i drag the -2 with the x ?
<8> can you elborate please ?:)
<9> what does f[x_] mean especially that x_
<7> It's just mathematica syntax.
<5> _ means it's an argument to be filled in later.
<5> f[x] would use the current value of x.
<1> i don't think govner cares about mathematica
<8> woot woot
<8> w:[[
<8> what makes you say that :{?
<4> what's a good rigrous book to mathematicla statistics? (along the lines of rudin's principles of mathematical analysis; and ;probability w/ measure theory)
<1> govner, i thought you wanted to know how to derive
<8> yes
<1> by hand
<1> mathematica calculates it for you, so :P
<8> what
<8> i dun understand!
<1> it's a program
<8> oh
<1> % 1+2+3
<6> kalid0r: 6
<8> there's a program..
<8> oh
<5> % "Explode" * 6
<6> Olathe:
<6> ToExpression::notstrbox: * 6 Explode is not a string or a box. ToExpression can only interpret strings or boxes as Mathematica input.
<6> $Failed
<8> where do i learn how to use it?
<5> OK
<1> www.wolfram.com
<5> % help
<6> Olathe: "See http://documents.wolfram.com/v5/ for detailed Mathematica help."
<8> :D hehe
<1> btw govner
<8> yes my friend?
<1> % f[x_]=Sqrt[x]; f'[x]
<6> kalid0r: 1/(2*Sqrt[x])
<1> that's why you have the 2
<5> % D[Sqrt[x], x]
<6> Olathe: 1/(2*Sqrt[x])
<8> what come again
<8> no i meant in the upper part of the fraction
<1> ya i usually do it like that Olathe
<5> x^(1/2) -> 1/2 x^(-1/2) = 1/(2 Sqrt[x])
<1> the upper part is just -x
<8> % D[Sqrt[x^2]'x
<6> govner:
<6> ToExpression::sntxi: Incomplete expression; more input is needed.
<6>
<6> $Failed
<8> % D[Sqrt[x^2]'x]
<6> govner: x*Derivative[1][Sqrt[x^2]]
<8> sdf
<1> ,
<5> Need a comma, not an apostrophe.
<8> % D[Sqrt[x^2],x]
<6> govner: x/Sqrt[x^2]
<8> mbot who's your daddy
<7> I used f'[x] just to make it clear what I was doing. D[] isn't obvious.
<8> % help
<6> govner: "See http://documents.wolfram.com/v5/ for detailed Mathematica help."
<8> kalid0r
<8> you've a minute buddy?
<1> yes
<8> hm i've a min max problem
<8> that i dont know how to solve
<8> you care to ***ist me if that's not top much of a problem?
<8> too*
<1> what's wrong about this particular problem
<8> i dont know how it's called
<8> tho i can describe it
<8> it's a triangle box
<8> but with a square base
<8> you know what im talking about ?
<1> what's in the box?
<1> sounds mystical or something
<8> lol
<8> ah it's hard i dont know the words to describe this :(
<1> it's called spiritual experiences
<8> oO
<1> nm :P
<8> :)
<8> hm okay this may take a while :P
<1> O_o
<8> pyramid
<8> okay
<1> k
<8> im an idiot :D
<1> um
<1> what about pyramids
<8> okay
<8> they ask for the maxim volume of a pyramid
<8> when a corner of the triangle is a
<8> hm
<8> sidelock ?
<1> side?
<8> side filed perhaps ?
<8> the base has four of them and triangles of the pyrmid has 3 when one is of the base
<8> the other two, how do you call them ?
<7> sides
<7> corners?
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