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#1 Help Me ! » still riemann integral » 2011-04-11 17:15:59

GOKILL
Replies: 1

#2
Given

and

Let

Prove that

i think when the function f is monotonic increasing,that can be done, but otherwise?

#2 Re: Help Me ! » Real analysis - Riemann integral » 2011-04-11 16:44:59

GOKILL

I take


in order to include 1 in
, so
must be even number.
Thus i get


So....


Thus
, g is not integrable eek dunno
i'm sure g must be integrable, where i do wrong? Please help me.... thanks before wink

#3 Help Me ! » Real analysis - Riemann integral » 2011-04-11 16:30:54

GOKILL
Replies: 1

Given

with the rules



by the definition prove that g is integrated!

#4 Re: Exercises » Real Analysis » 2010-06-13 01:25:31

GOKILL

Help me solve my above problems.. smile

#5 Re: Exercises » Real Analysis » 2010-06-13 01:24:19

GOKILL

Hmm... Really??? Why???
Who knows that you were the person whom i tried to kill last time?
hagagag579xx..
just kidding.. tongue

#6 Re: Help Me ! » Matrix Algebra » 2010-06-11 21:52:18

GOKILL

The latex is wrong writing my matrix T

T =
5 2 -5
5 2 -5
1 1 -2

sorry not using latex..

#7 Re: Help Me ! » Matrix Algebra » 2010-06-11 21:49:50

GOKILL

Sorry... the latex doesn't work..
Please quote =_=??

#8 Help Me ! » Matrix Algebra » 2010-06-11 21:48:42

GOKILL
Replies: 4

Let

.
Find matrix
.

#9 Re: Exercises » Real Analysis » 2010-06-11 21:44:51

GOKILL

#10 Exercises » Real Analysis » 2010-06-11 21:43:31

GOKILL
Replies: 4

#1
Without counting the integral prove that f(x)=2x was integrated at [1,2]

#2
Let


Prove

#3
Let

.
Prove that
was uniform convergent at
, but not uniform convergent at
.

#4
Let

.
Find

Does
uniformly convergent? Give reason!

#11 Re: Exercises » Complex Function » 2010-06-11 21:41:49

GOKILL

#12 Exercises » Complex Function » 2010-06-11 21:38:30

GOKILL
Replies: 1

#1
Present

in the form of Laurent series in
.

#2
Suppose

is analytic in
and differentiable at (a,b).
Prove that

#3
Let c be any line contour in

.
Prove that

#4
Let c be a square of vertices

and positively oriented.
Determine
.

#13 Exercises » Multivariable Calculus - Chain Rules » 2010-06-11 21:36:35

GOKILL
Replies: 1

Suppose

.
Prove that
will convert into
.

#14 Help Me ! » Abstract Algebra, COOL Homework :D » 2010-05-18 17:24:00

GOKILL
Replies: 2

#1
Let R be a ring where

.
If (i) R is commutative and (ii) 1+1 and 1+1+1 have inverse in R (1 is unity in R), show that 1R1=1.

#2

is the set of all polynomials whose the sum of even degree coefficients is 0 and the sum of odd degree coefficients is 0.
True/False? Explain it!

Hahhahah1579xx.. Please Help me dizzy dizzy dizzy

#15 Help Me ! » Try Out: Matrixx Algebra!!! » 2010-05-18 17:21:17

GOKILL
Replies: 1

#1
Given



Then prove that

#2
Suppose

,
Show that -2 or 2 is/are eigen value/s of A.

#3
Given


If

Show that

And when det(A) = 0 ?

up up up

#16 Help Me ! » Abstract Algebra - Ring [extended level] =_=" » 2010-04-16 06:01:47

GOKILL
Replies: 2

(1)
Given Integral domain R and


a)
not unit, is called prime element
if a|bc implies a|b or a|c.
Show that a is prime element iff <a> is prime ideal
b)
not unit, is said un-reduced
if a = bc implies b is unit or c is unit.
Show that if p is prime and
for some i.

(2)
If

. What criteria must be held by
? (is it prime or un-reduced?)

Anyone can help me plz.... roflolroflolroflol

#17 Help Me ! » Abstract Algebra - Ring !!!!! » 2010-04-16 05:30:38

GOKILL
Replies: 1

#1
Let F be a field, show that F[x] is the main ideal domain (ideal region)!

#2
Let R be integral domain,

be prime ideal, and S = R\P.
a) Show that S doesn't contain zero-divisor
b) Defined
, show that Rs isomorfic with the subring of Q(R)
[Q(R) is the smallest subfield containing R, called as divisor field]

#3
Suppose f is ring homomorphism from R (ring with unity element) to the ring R'.
If

is unit, show that
.

Help me please dunno swear
thxu dizzy

#18 Help Me ! » prove, about characteristic polynomial... » 2010-03-29 10:07:17

GOKILL
Replies: 1

If

is a square matrix of order
, then prove that

with
is the polynomial of order (teh greatest)

#19 Help Me ! » About vector of planes » 2010-03-27 17:30:31

GOKILL
Replies: 1

3. Prove that the distance (L) between two parallel planes

dan
is

4. Determine a vector parallels to the line of intersection of planes

and

#20 Help Me ! » vector again -_- » 2010-03-27 16:59:50

GOKILL
Replies: 2

#21 Help Me ! » Vec Vec Vector!! » 2010-03-27 16:19:19

GOKILL
Replies: 2

1. Let

be non-zero vectors satisfying
. Suppose
are any numbers such that
. Prove that

#22 Re: This is Cool » cool math trick » 2010-03-25 11:06:25

GOKILL

Hahahaha579xx.. So fun, but almost ppl have already remember it out of head  tongue

#23 Re: Help Me ! » Solve for X » 2010-03-25 10:57:54

GOKILL
Spanky wrote:

Solve  X +4/ X-5      -y    for X

your writing is not clear

#24 Re: Help Me ! » Unusual equality :)) » 2010-03-24 15:14:41

GOKILL

Some one has sugest me to use rouche's theorem but i don't know bout it >_<

#25 Re: Help Me ! » Unusual equality :)) » 2010-03-19 13:16:53

GOKILL

at first i think it was in real, so there's no solution.
i don't know how it would be in case of z is in complex..
so would u explain f(z) = e^z - z, g(z) = z ?
what's the answer?

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