HTML File #6

Ugh
e-mail: ugh@webprimitives.com

Some Fancy Math Equations...

Some Fancy Math Equations...

Abstract

Some Fancy Math Stuff....

Some Fancy Math





First, we have:

ni+1 =



3ni+1
if ni 1 \pmod2
ni / 2
if ni 0 \pmod2

Second, we have:

f(z) =

n 3 0 
 fnzn,    ^
f
 
 (z) =

n 3 0 
 fn zn
n!
 .

Third, we have:

Mn = - 1
2
 n+2

 k = [(n+2)/2]  
 (-1)k
1/2
k

k
n+2-k
22k-n-2 3n+2-k.
(1)

Fourth, we have:

Mn = - 1
2
 n+2

 k = [(n+2)/2]  
 (-1)k
1/2
k

k
n+2-k
22k-n-2 3n+2-k.
(2)

Fifth, we have:

M(z) = (1-z-[(1-2z-3z2)])/(2z2)

Sixth, we have:

I(n,x) =
x

0 
 dt
1 + tn

Seventh, we have:



.
x
 
 1  =  Ku - 1
t
  (x1-T) .
x
 
 2  =  x3 .
x
 
 3  =  g

Wa
W
  (1- T
x1
 )-1- m
W
  x3

(3)

Eighth, we have:


8000 Tt y3 - 400(T +Kt u) y22 - 40 ( m (Kt u +T) y1 + 200 Kt u + 10 m Tt) y2- m2(Kt u +T) y12 +400 mKt uy1+40000(T-Kt u)   =  0
(4)

Nineth, we have:

The discriminant disc(e1,*,en) of n elements e1,*,en L(x,y) is defined as:






Tr(e1e1)
*
Tr(e1en)
:
:
Tr(ene1)
*
Tr(enen)




where Tr stands for the trace map of the extension L(x) L(x,y)

Tenth, we have:



t = 1 
 L((  (x-a)[1/t] ))

Eleventh, we have:

h = h
x
 x + h
y
 y + h
a
 a + h
b
 b
h
=
cos(x)y·



1
0



+sin(x)·



0
1



+ 2 a b·



[(a)/(x)]
[(a)/(y)]



+ a2·



[(b)/(x)]
[(b)/(y)]



(5)
=




cos(x)y+2 a b· da[1]+a2·db[1]
sin(x)+2 a b·da[2] +a2·db[2]



(6)

Twelfth, we have:


p- ea

[1/2] 
 b- g
n
k
 !



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