Math Is Fun Forum

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

You are not logged in.

Pages: 1 2

#1 Help Me ! » complex integration » 2009-05-20 20:03:53

GemmaJ1988
Replies: 1

does anyone know how i would solve this integral using cauchys integral formula

#2 Help Me ! » combinatorics » 2009-05-19 06:27:06

GemmaJ1988
Replies: 1

Hey i've been doing some last minute revison and ive stumbled across this question on a past exam paper.  Does anyone know how i'd go about answering this my lecture notes dont seem to cover this type of question
Please help smile

#3 Help Me ! » algebra-ideals » 2009-03-31 21:48:18

GemmaJ1988
Replies: 2

I have the following question:
Find all ideals in the principle ideal domain R which contain the given ideal I


Now i know this is probably a really easy question.
Is it just asking me for the rational numbers in


So in this case its just -2 hmm

Then the second part of the question is:
In which case is I the maximal ideal of R?

#4 Re: Help Me ! » integration » 2009-03-24 03:15:13

GemmaJ1988

so i have





so i integrate

but im not sure how to do this please help

#5 Re: Help Me ! » integration » 2009-03-24 00:39:42

GemmaJ1988

sorry i made a mistake when writing up the equation

#6 Help Me ! » integration » 2009-03-24 00:06:36

GemmaJ1988
Replies: 4

i have the following problem which i need to integrate:

im guessing i somehow split it up like this


but then im still confused how to integrate this please help smile

#7 Re: Help Me ! » complex conjugate » 2009-03-23 01:25:14

GemmaJ1988

so using this the complex conjugate would be

#8 Help Me ! » complex conjugate » 2009-03-23 00:42:20

GemmaJ1988
Replies: 3

i have the following


Im suppose to find the complex conjugate of this. Im sure this is something very simple hmm

#9 Help Me ! » Rings- Algebra » 2009-03-19 00:05:29

GemmaJ1988
Replies: 2

Let R be the ring


Prove that

given by

satisifies N(ab)=N(a)N(b)

Does anyone know how i would attempt to solve a question like this? please help:(

#10 Help Me ! » parameterization of circular arcs » 2009-03-15 04:22:05

GemmaJ1988
Replies: 1

Im trying to evaluate a complex integral whose image is the circular arc in an anticlockwise direction

for arcs considered in a clockwise direction we have

does anyone know how i could solve an integral in the anticlockwise direction

many thanks

#11 Help Me ! » cauchys integral formula » 2009-03-14 05:17:38

GemmaJ1988
Replies: 1

I have the following fraction:


Im trying to apply cauchys integral formula on this fraction does anyone know how i can simplify it in order to do this

#12 Help Me ! » closed under multiplication » 2009-02-21 00:29:01

GemmaJ1988
Replies: 2

I need to show |Z| is a subgroup of G, the first step is to show |Z| is closed under multiplication.
From definition |Z| is closed if any x,y in G implies xy is in G
Does anyone know how i can show this?

#13 Re: Help Me ! » commutitive group » 2009-02-20 23:27:00

GemmaJ1988

Thankyou guys so much!
I see now where i was going drastically wrong it seems relatively simple now smile

#14 Help Me ! » commutitive group » 2009-01-24 05:46:19

GemmaJ1988
Replies: 7

i have the following question to solve:
suppose G is a group with the property


for all x in G, prove that for all

in G, G is commutitive.

so far ive got:


so

is this enough to show there commutative?

#15 Help Me ! » integration » 2009-01-20 04:27:53

GemmaJ1988
Replies: 1


Does anyone know how to integrate this, i know its probably really simple, logs confuse me hmm

#16 Re: Help Me ! » power series » 2008-12-10 22:33:17

GemmaJ1988

ive got the range of z that solves -1<=Z/(1-Z)<1 is when z<=0

#17 Re: Help Me ! » power series » 2008-12-10 10:56:11

GemmaJ1988

im still confused how to do this sad

#18 Re: Help Me ! » power series » 2008-12-09 20:47:58

GemmaJ1988

ok i understand the bit about x^n converges when x is in [-1,1) but i dont know how to appy this to Z/(1-Z)

#19 Re: Help Me ! » linear algebra » 2008-12-08 22:54:19

GemmaJ1988

Thank you for all your help I understand this now! I was clearly going about it the wrong way! smile

#20 Re: Help Me ! » linear algebra » 2008-12-08 22:03:41

GemmaJ1988

does anyone know where the ad-bc=0 comes from this is the bit thats really confusing me! i know that the vectors are linearly dependent i just dont know how to show this using ad-bc=0.

#21 Help Me ! » power series » 2008-12-08 04:05:53

GemmaJ1988
Replies: 6

Q) for what values of Z is

Now im not sure if im going about this the right way, but so far ive done


so the radius of convergence is given by:

so we can give the circle of convergence as

can anyone tell me whether im going about this the right way?
thank you smile

#22 Re: Help Me ! » please help » 2008-12-06 21:08:32

GemmaJ1988

i can follow this untill i get to:

which is equivalent to:

Then i get lost

#23 Help Me ! » please help » 2008-12-06 03:03:42

GemmaJ1988
Replies: 4

does anyone know the values of:

i know that:

#24 Help Me ! » complex plane » 2008-12-05 21:21:26

GemmaJ1988
Replies: 3

show that the points


lay on the same line in the complex plane if and only if

does anyone know how i would go about solving this?

#25 Help Me ! » hyperbolic cosine » 2008-12-04 05:16:30

GemmaJ1988
Replies: 1

I have the following function:


when

what does the function become?

I know from definition:


so i can rewrite the function as:

Pages: 1 2

Board footer

Powered by FluxBB