Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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**clumsy shark**- Replies: 1

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 ^_^

**clumsy shark**- Replies: 11

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

sorry if the given is not enough but this what our Dr wrote ,so I'll solve it for DC THANK YOU ALL

**clumsy shark**- Replies: 6

calculate form factor

Kindly illustrate

i guess this is DC

Many ThnX ^_^

**clumsy shark**- Replies: 2

Given the solid S: z=x^2 + 4y^2 , z <= 16

Find the volume and surface area of the solid S

**clumsy shark**- Replies: 8

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.:)

**clumsy shark**- Replies: 1

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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