query: Formation of Saturn's Rings
positive_passages.docid: 27024
positive_passages.text: Why are Saturn's rings so thin?
negative_passages.docid: 16602
negative_passages.text: Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
negative_passages.docid: 102572
negative_passages.text: Is the orbit of the planets around the Sun chaotic?
negative_passages.docid: 138383
negative_passages.text: group of units in a topological ring
negative_passages.docid: 85650
negative_passages.text: Number or regions formed when $n$ points on a circle are joined
negative_passages.docid: 92420
negative_passages.text: Characteristic of  a Non-unital Integral Ring
negative_passages.docid: 128380
negative_passages.text: Crater equation
negative_passages.docid: 48289
negative_passages.text: Question on the stability of the solar system
negative_passages.docid: 73164
negative_passages.text: Horn and spindle tori
negative_passages.docid: 92076
negative_passages.text: What was Newton's own explanation of Newton's rings?
negative_passages.docid: 5457
negative_passages.text: Why do shadows from the sun join each other when near enough?
negative_passages.docid: 61095
negative_passages.text: When does a singularity start to exist during a black hole formation?
negative_passages.docid: 129258
negative_passages.text: Why do the Localization of a Ring
negative_passages.docid: 7058
negative_passages.text: How to make a circle with grid on the outside ring
negative_passages.docid: 97751
negative_passages.text: Center of a group ring?
negative_passages.docid: 25596
negative_passages.text: Proportionality constant in crater equations
negative_passages.docid: 121643
negative_passages.text: Why isn't the zero ring the field with one element?