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ring
ring
ring in mathematics, system consisting of a set R of elements and two binary operations, such that addition makes R a commutative group and multiplication is associative and distributes over addition (see commutative law ; associative law ; distributive law ). A commutative ring is one in which the commutative law also holds for multiplication. Examples of commutative rings are the sets of integers (see number ) and real numbers. Square matrices (see matrix ) furnish examples of non-communtative rings.
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Piston rings.(SHOP TALK)
Magazine article from: Outdoor Power Equipment; 7/1/2005; ; 700+ words
; ...application determines the number of rings on a piston, ranging from one ring in a string trimmer to four...sectional views of some common top rings or fire rings. [FIGURE 2 OMITTED] * View (A) shows a rectangular face ring with a chrome wear face...
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 "The Register-Guard (Eugene, OR)")
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RINGS OF GLORY.(General News)(Former UO football players are among the few who've won the right to wear Super Bowl diamonds)
Newspaper article from: The Register-Guard (Eugene, OR); 2/6/2005; 700+ words
; ...winning team, giving them a ring. None, however, has more rings than Walter, who keeps...each of his players a ring with 104 diamonds. The rings each weighed about 3...winning team $5,000 per ring for up to 150 rings for players, coaches...
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Ring 9 Launches Web Meeting.
PR Newswire; 7/10/2007; 632 words
; ...GAINESVILLE, Fla., July 10 /PRNewswire/ -- Ring 9, Inc., a leading provider of business...web conferencing market. In addition, Ring 9 is announcing a unique offer, Web Meeting...PBX bundle. For one flat monthly fee a Ring 9 user has access to web meeting, unlimited...
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Ring-tone firm turns up volume; Zingy connects with teens as market grows; middleman role could become obsolete.(News)
Magazine article from: Crain's New York Business; 1/10/2005; ; 700+ words
; ...Manhattan company that sells consumers ring tones-the songs or sounds played to signal an incoming cell phone call. Ring tones are fast becoming the hippest new...old company, the second-biggest ring-tone marketer in the United States...
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Ring Plus Defies AT&T Wireless Services, Inc.'s (hereafter "AT&T") Attempt to Declare Its Ring Back Signal Patent Invalid.
Business Wire; 2/22/2008; 700+ words
; ...for summary judgment of invalidity of the Ring Plus patent (U.S. No. 7,006,608...all elements of asserted claims of the Ring Plus patent are disclosed in a Korean Patent...denied AT&T's attempt to declare Ring Plus' patent invalid. The Ring Plus patent...
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Rings around the planets
Magazine article from: Natural History; 10/1/2000; ; 700+ words
; ...puzzle: "a thin, flat ring, nowhere touching." Thin, flat rings, actually, as FrenchItalian...possible explanation was rings. Suddenly Saturn...revealed that they too had ring systems. Some astronomers...presence of very thin rings around Mars as well...
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Rings, patches broaden contraceptive options.(Women's Health)
Magazine article from: Internal Medicine News; 3/1/2007; ; 700+ words
; ATLANTA -- Contraceptive rings and patches appear to have an...by Organon USA Inc., is a ring 4 mm thick and 54 mm long which...estradiol 15 mcg/day. The ring is associated with a lower estrogen...Dr. King said. A single ring is used continuously for 3 weeks...
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With these rings generations did wed
Newspaper article from: Chicago Sun-Times; 8/7/1988; ; 700+ words
; ...23-79 A.D., this ring was made of iron. Sometime in the 2nd century, rings were made of gold or brass...first diamond engagement ring is said to have been placed...engagement and wedding ring through her reign. Also...popularity were keeper rings, now called guard or...
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 "Daily News (Los Angeles, CA)")
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Ring tones evolve as bands debut tracks for cell phone use.
Newspaper article from: Daily News (Los Angeles, CA); 4/22/2005; 700+ words
; ...than the other." Even so, ring tones are a clever method for...College of Music in Boston. Ring tones are also a potential revenue...happens each time the phone rings," Gorder said. Many cell...sounds which can than be used as ring tones. But Navarro said the...
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 "Beacon News, The (Aurora, IL)")
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Ring tones answer the call to be hip
Newspaper article from: Beacon News, The (Aurora, IL); 11/4/2005; ; 466 words
; Ringing is so passe. Ring tones are not only hip, but they say something about you...current technology, here's a glossary to help you become ring-tone savvy. Monophonic ring tone: n Made up of beeps, the tunes are simple because...
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ring
Book article from: The Columbia Encyclopedia, Sixth Edition
...center to the farthest edge of ring E. The rings are not perfectly circular...is scattered throughout the ring system, and the rings all are the same flat, dark...the thicker parts of the rings are called ring arcs. Stretching outward from...
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Rings, Political
Dictionary entry from: Dictionary of American History
RINGS, POLITICAL RINGS, POLITICAL. A political ring is a comparatively small group of...years of its founding, the Gas Ring wielded great political power from 1865 until 1887. Similar rings developed in Saint Louis, Minneapolis...
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Planetary Ring Systems
Encyclopedia entry from: The Gale Encyclopedia of Science
...Neptune, do however all have ring systems. So rings do seem to be a common...Neptune does indeed have a ring system. However, the rings vary in width. Narrower...that was occulted by the rings.) The very narrow F ring appeared braided to the...
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Ring, Magic
Dictionary entry from: Allusions--Cultural, Literary, Biblical, and Historical: A Thematic Dictionary
...Odin ’ s ring; symbol of fertility...I: 326] fairy rings rings found in grassy meadows...Gyges ’ ring found in a chasm...Tolkien The Lord of the Rings in Magill IV, 326] Polycrates ’ ring thrown into the sea...
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Lord of the Rings and J. R. R. Tolkien
Encyclopedia entry from: Encyclopedia of Children and Childhood in History and Society
...and men. The great Ring of Power central to The Lord of the Rings is secondary in The...and acquires the Ring. Upon the success...began The Lord of the Rings. Although Tolkien...The Lord of the Rings was divided by the...Fellowship of the Ring (1954), The Two...
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