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If F is a field, prove that the field of fractions of F[[x]](the ring of formal power series in the indeterminate x with coefficients in F) is the ring F((x)) of formal Laurent series. Show the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)). Consider the series for e^x.

Here the Laurent series is of the form $\sum_{n\geq N}^\infty a_k x^k$ where N is an integer.

2006-11-30 04:09:03 · 3 answers · asked by rosrucerp 2 in Mathematics

Okay, So I decided that I want to finally get my nose pierced during the Christmas Break. I have 2 weeks off from school and I am wondering if I should get it then. I also want to know if the piercing hurt more than the usual pain, because I am not good with pain. If anybody can give me any tips and advice it would be nice.

2006-11-30 04:08:52 · 11 answers · asked by Miss Melody 2 in Fashion & Accessories

2006-11-30 04:08:46 · 10 answers · asked by enlight100 3 in History

I have been with my guy for 2 years. He says that he knows that I am the one for him and that he does want to marry me 'someday'. I moved across the country to be with him(his job) and now we are moving to another state because his job is transfering him again. I would never want to marry him if he wasn't ready, but I am confused as to why he says he wants to, but just not 'yet'. If he really wants to marry me, why would he want to put it off?

2006-11-30 04:08:45 · 12 answers · asked by h_nanny 1 in Marriage & Divorce

I don't understand why they have to negotiate to talk to Japanese pitcher's? who gets that money the player? We don't do it here when a player is a free agent. What the story on this.

2006-11-30 04:08:38 · 11 answers · asked by Ron 1 in Baseball

I recently had a case management conference,for a personal injury lawsuit.What are the chances of me receiving a settlement instead of taking this to trial? Also, is my lawyer required to notify me if they have made any offers to settle?

2006-11-30 04:08:38 · 3 answers · asked by adimeandchange 1 in Law & Ethics

Admin of site told me they see no problem with site and prob must be on my end. whats up

2006-11-30 04:08:33 · 4 answers · asked by wwind3 1 in Internet

famous quotes by thomas jefferson

2006-11-30 04:08:31 · 3 answers · asked by kk 2 in Quotations

I am very open minded about clothing, though I dress very conservative & traditional. But are there any items you think ONLY MEN should wear and are there any items you think ONLY WOMEN should wear?

The only thing I can really think of is a jock strap - I cannot see a woman wearing a jock strap.

2006-11-30 04:08:29 · 33 answers · asked by Anonymous in Lesbian, Gay, Bisexual, and Transgender

Homework, HELP

2006-11-30 04:08:26 · 25 answers · asked by Anonymous in Hair

2006-11-30 04:08:18 · 22 answers · asked by Anonymous in Engineering

Tell me top 5 softwares(which size is small,range between 100kb-3Mb)Which are top 5 positions for create test in windows for students,teachers.

2006-11-30 04:08:18 · 2 answers · asked by star123 2 in Software

Can liver damage result from taking cymbalta? I have a history of liver enzymes

2006-11-30 04:08:07 · 3 answers · asked by bella 1 in Mental Health

A co-worker of mine, whom is recently pregnant and has enough stress is really concerned for her daughter, she thinks she is hiding things from her. If you know what fkdjfn x means, please let me know... I would like to help her or put her mind at ease if able to.... thank you!

2006-11-30 04:08:05 · 3 answers · asked by hardworkinmama1125 2 in Family

I have been away from home for a while. I wouldn't mind seeing my ex again should i?

2006-11-30 04:08:05 · 20 answers · asked by Questionis 3 in Singles & Dating

Who sings the song called "Same Old Song'' or ''Same Old Songs''? It's kind of a rock/pop song and would love to know the name of it. Thanks for all your answers.

2006-11-30 04:08:04 · 12 answers · asked by Anonymous in Music

only pures are allowed unless your fighting lvls is high and if thinking of coming my clan pless dont betrave me i want to have a good clan i realy want to be the best in wildy i want u to have a least a lvl 60 through 69 combat add me to your list (nick4life4) if i log on tell me (remember from yahoo clan) like that i know ok and also have alot of food im a member

2006-11-30 04:08:03 · 1 answers · asked by nick s 2 in Games & Gear

What is a good name to name a boy cat?

2006-11-30 04:08:02 · 10 answers · asked by gymnastics617 2 in Cats

2006-11-30 04:08:01 · 23 answers · asked by Anonymous in English Football

Do you agree the Adam Sandler got robbed of the Oscar for his portrayal of Robbie Hart in the movie "The Wedding Singer"??

For Christsakes .... the man got paid in meatballs for his singing lessons .... I think he got robbed .... how about you???

Why or Why Not???

2006-11-30 04:07:57 · 13 answers · asked by Gummi Bear Devourer II 5 in Polls & Surveys

I went back to Peru before my US divorce was finalized (November), and married another person in August, thinking that the US marriage was finalized. Is my marriage to the second person in Peru valid? I am divorcing in Peru now anyway, would I have to go through the divorce process in Peru, or is the marriage just not valid?

2006-11-30 04:07:49 · 9 answers · asked by AnswerWhore 1 in Immigration

my boyfriend and one of my best friends use to out in the 8th grade then now were in the 11th grade and ive never brought them around each other my best friend has a boyfriend. But i think im going to feel weird haveing them both together in the same room. But i really want to be able to hangout with my boyfriend and my best friend would bring them around each other???

2006-11-30 04:07:41 · 3 answers · asked by lost_in_love_still 3 in Singles & Dating

Why did it take Ferdinand Magellan to prove it was a sphere if God already knew it?

2006-11-30 04:07:35 · 11 answers · asked by Anonymous in Religion & Spirituality

last mounth my gf 4yr broke up with me. Sayin shes scared and dosent feel de same. 2week later she call and wants back. I open my heart again, n start ovr. She tells me how much she loves me and missed me and how she didnt see herself with any1 but me. She then leaves 2 go see her friend. When she left she called leaving messages about how much she loves me and misses me. She then comes back up and the distance is back. On thanksgiven she breakes up with me agian. I call her friday she says she regerts doing this and was trying to see if she chould force something. Now i am left with the pain. Is she confused? will she call again. Is this garented. i still luv her and would try it again. But why say so much if your not so sure of your self. why talk about marrige and moving in with me and making love to me if you were not even sure. This is making me sick. she was my first and i just dont know anymore. we never argued or fought baddly. Will she ever talk to me agian. Any addvice b gr8.

2006-11-30 04:07:34 · 2 answers · asked by detox_denny 1 in Singles & Dating

i have a panasonic cd player (cq-c11014) with a alpine amp

2006-11-30 04:07:29 · 3 answers · asked by klocks87 1 in Car Audio

I was wondering if there could possibly be a connection betwween volcanos and Hell.

2006-11-30 04:07:25 · 4 answers · asked by debra p 1 in Earth Sciences & Geology

"how can i soar like an eagle when im surrounded by turkeys"

"A friend will hand you an umbrella in the rain, but a best friend wil take the umbrella and say 'run loser run' "

"when life gives you lemons, throw them out and order pizza"

"laughter is the best medicine, and your face is curing the world"

"your slower than turtles stampeding through peanut butter"

"insanity is doing something over and over and expecting different results"

"dont hold your farts in, they travel up to your brain and thats where all your crappy ideas come from"

2006-11-30 04:07:25 · 11 answers · asked by Anonymous in Jokes & Riddles

hi
theres that guy that works with my mother in her job who is infected with malaria and she was wondering if the malaria is an infectious disiese plz if u dunno dnt answer...
a doctor will rly help thnx vry much for helpin

2006-11-30 04:07:23 · 12 answers · asked by Anonymous in Infectious Diseases

I have a grey and hunter green thick striped sweater. It has a deep v-neck that I wear a dark green tank top under and I'm wonder what kind/color of shoes to wear with it. Like brown boots or what? Thanks for any suggestions!

2006-11-30 04:07:22 · 13 answers · asked by Chrissy 5 in Fashion & Accessories

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