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Expand in Laurent Series :
1-
in the ring :
2-
For :
MANY THANKS ^_^
^^ It's been a pleasure to know someone dedicated like You ^_^
No , I'm from Egypt. Do you know it ?
Oh yea then it must be the second
Thank You bobbym ^_^ That was really such an annoying matter, I got it .. THANKS
Thanks bobbym for replying
Well I can't get how he made this expansion ?? Is it allowed ? I see those two answers contradicting I understand well that tan(x) is unbounded at x = pi/2 and fourier series is only applicable to periodic functions where f (x) is defined for all real x
how could he manage it and what does his phrase 'This series has very poor convergence properties (look at x= pi/4). So the equality
is only in some sense of generalized functions.' means ??
I wanna know what misunderstanding I suffer here
sorry for my bad language
Thnx ^_^
Which of fourier representations is suitable for f(x) = tan (x) : fourier trigonometric series, fourier half-range expansion , oe fourier integral and why ?
Well I searched and found that :
1- tan x cannot be expanded as a Fourier series .Since tan x not satisfies Dirichlets
conditions.(tan x has infinite number of infinite discontinuous).
2- the pic (sorry posting links is not allowed for me )
the first answer is clear for me but I can't understand the pic I go confused :S
THNX in advance
Thank you all for your great Help
sorry if the given is not enough but this what our Dr wrote ,so I'll solve it for DC THANK YOU ALL
calculate form factor
Kindly illustrate
i guess this is DC
Many ThnX ^_^
Given the solid S: z=x^2 + 4y^2 , z <= 16
Find the volume and surface area of the solid S
Find the volume generated by revolving the area bounded by Y^2 = X^3 , X=4
about the line X=1
Type y^2 = x^3 , x=4 on wolframalpha to check the area I mean
I can't understand how the area will revolve about a line lying within the area.
Many thanks in advance.:)
In our book of analytic geometry
we have a title The canonical form of a line
it is the equation of a line passing through a point p1(x1 , y1,z1) and parallel to a vector whose Direction Ratio is a:b:c
under another title The Symmetric (Two point) form of a line
is the equation pf line passing through the 2 points p1 (x1, y1, z1) & p2 (c2 , y2 , z2)
so what is the difference between both of them ?? I can figure out the difference between them and the parametric form but those two can't get it ???!! am so confused
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