Rings Definition and 418 Threads

I really don't want to define a homomorphism like psi(p(x))=p(x-1+I I'm looking for another way to solve that next question: Show that Q[x]/(x-1) is isomorphic to Q[x]/(x-2). Any ideas? Thanks in advance.

Groups, Rings, Fields? I know what groups, rings, and fields are. My question is why are groups, fields, and rings defined the way they are? Why did mathematicians chose the properties that they did that define groups, rings, and fields? What is so special about those properties? Why...

I am designing a machine called a Ring Expander. Simply put, it's a machine used in metal forging operations to stretch metal rings (15 x 15cm cross section, 30cm inside diameter, 60cm outside diameter) by about 20mm on the diameter. It does this by forcing a cone through a set of jaws, which...

Was wondering how they steered cassini through saturns rings, on that note how do they know where these probes are at anyone time.

Spectrum of a Rings So I think I'm finally getting the definition of a scheme, but the texts I'm using aren't exactly ripe with examples. So, I wanted to condier some ring spectra to construct examples... I played around with the simple examples Z and Z[x], and my next thought was to look at...

Does DNA ever occur as a complete uniform ring, rather than a(n approximate) strand?

Many people who believe the Earth is 6,000 years old, claim that Saturn's rings would fall onto the planet or lump together or somthing in less than 10,000 years, "proving" that the universe is less than 10,000 years old. I told on that, to the best my knowledge that Titan and Saturn had a...

Antbody heard of that guy Alex Chiu? He's the guy with the rings of life, or whatever it was he calls them- I'm not exactly sure, but those were neat. Well, I was so into those rings, but I couldn't really remember where to get them most of the time, but I just found this link to his...

Hi there I've read the Lord of the Rings(more than once) and I feel quite let down because there was very little mentioned about the destruction of Sauron. I have heard about a book 'Sauron Defeated' by Christopher Tolkien. I would like to ask anyone who read that book to post their reviews...

A few questions: 1) Why Frodo had to leave? 2) How can Sam defeat the big spider? Why not she spelled out the web to entangle him? 3) How can the king-Aragon marry Arwen who is of different species? 4) Why Frodo put on the ring at the brink of valcano while he actually had plenty of...

How many people bought class rings from high school? I always thought it was a waste of money personally, just like letter jackets. Who actually wears them out of high school?

Hey folks, I've been watching the first two LOTR movies a lot, in anticipation of the 3rd one to come out in December. Lately I've been noticing all the imagery that Led Zeppelin borrows from that trilogy, and I am now listening to "Battle of Evermore", which mentions the ringwraiths. That...

http://math2.org/cgi-bin/mmb/server.pl?action=image&msgid=62326&fname=ringname.gif I know that polar concentric rings are known as "lines of latitude" or parallels, but what are equatorially concentric rings called?--e.g., the 90° equatorially concentric ring would be a line of longitude...

how do planetary rings form? how do they move? what are some theories?

As most of you are aware, tidal action between the Earth and Moon is both causing the Earth to slow down in its rotation and the Moon to recede from the Earth. Without going into too much detail, the essential culprit is the fact that the Earth's rotation tends to drag the tidal bulge with...

EDIT: don't click on this hillariously dumb man's invention. Explanation at end of thread.

http://hyperphoto.photoloft.com/view/exportImage.asp?s=cano&i=10632399&w=400&h=291 (solar) http://hyperphoto.photoloft.com/view/exportImage.asp?s=cano&i=10632437&w=640&h=550 (rings) Strange and mysterious things happen in the Sun's Corona. Indeed, according to our current...

Guys & Gals Everyone has seen the jumping rings demonstration…. Aluminium works fine, so does silver, iron and steel just stick to the coil Cut slots or drill holes in the disks and you get what you would expect BUT… Why doesn’t gold work? Cheers Mike