Rings are mathematical structures with a circular cross-section. They can be made of any precious metal, be set with gems, or simply be a flat band. A ring can be any shape or circular course, including one with a ring of hills or stones. A ring may contain either a number or an object, which is placed inside. In addition, rings may be shaped like a star or an elongated rectangle.
While the original 2002 film was a clever and inventive horror thriller, its sequel is a terrible movie and doesn’t add much to the story. The only cast members who are back are the characters in the videotape, including the lead characters Matilda Anna Ingrid Lutz and Alex Roe. Johnny Galecki reprises his role as the nerdy student who narrates the film. The film’s other components were good, but the movie’s clunky storytelling and overuse of tricks from countless films left Rings fans disappointed.
Some of the more notable contributions to the study of rings came in the nineteenth century, from the theory of algebraic numbers to its use in geometry. In addition to defining algebraic functions, ring theory has influenced other fields of mathematics, including commutative geometry. Commutative rings can be divided into smaller parts by nonzero elements, and are therefore known as fields. And although the study of rings began as a mathematical discipline, its application has been increasingly applied to science.
While Rings is a worthy remake of the classic The Ring, it diverges from its original film. The original is a horror film about a killer videotape, which kills anyone who doesn’t pass it on in seven days. But that was before social media and the internet. For Samara to step up her game in this sequel, she must hope that someone will buy a blank tape or re-recorded tape and pass it on.
In the context of mathematics, rings often have special properties, including ideals. Left Noetherian rings are those with no strictly increasing or decreasing infinite chain of left ideals. In addition, they are called Artinian rings. The latter is a special case of Noetherian rings, and their properties are explained by the Hopkins-Levitzki theorem. It also occurs when two integers are grouped together. It is possible to define an “excellent ring” by taking into account the way an element is distributed in a ring.
In the case of Saturn, the outer ring has a dark D ring. It contains dark particles, which are difficult to see from Earth. These particles would go around Saturn two times for every orbit of Mimas. The ring would have a 2:1 resonance orbit and would be pulled by Mimas’ gravitational pull every time it passed. That means the little “tugs” of gravity would add up to a larger swing in the ring.