Encyclopedia results for Torus

1. Torus
   Citations missing date December 2007 Image Torus.png right thumb 250px A torus about the surface and mathematical concept of a torus In geometry , a torus pl. tori is a surface of revolution generated ..
   
   
   
2. Torus (disambiguation)
   Torus or tori may refer to In mathematics Torus a surface Torus knot Algebraic torus Double torus Umbilic torus In medicine Torus palatinus a bony growth on the palate Torus mandibularis a bony growth ..
   
   
   
3. Torus knot
   Image TorusKnot3D.png thumb right A 3,7 3D computer graphics 3D torus knot rendered by Apple Computer Apple Grapher . In knot theory , a torus knot is a special kind of knot mathematics knot which lies ..
   
   
   
4. Maximal torus
   In the mathematics mathematical theory of compact Lie group s a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a Lie group G is a compact space compact ..
   
   
   
5. Double torus
   Image Double torus illustration.png right thumb A double torus. In mathematics, a double torus is a topology topological object formed by the connected sum of two torus torii . That is to say, from each ..
   
   
   
6. Standard torus
   , the ring torus becomes a spindle torus and then Degeneracy mathematics degenerates into a sphere. In mathematics , a standard torus is a circular torus of revolution, that is, any surface of revolution ..
   
   
   
7. Algebraic torus
   In mathematics , an algebraic torus over a field mathematics field K is an algebraic group which is isomorphism ... mathematics rank of the torus. Here, GL sub 1 sub G sub m sub is the multiplicative algebraic ..
   
   
   
8. Gas torus
   Image PIA04433 Jupiter Torus Diagram.jpg thumb right Jupiter s gas toruses generated by Io moon Io green and Europa moon Europa blue A gas torus is a torus toroidal cloud of gas or plasma that encircles ..
   
   
   
9. Oral torus
   Orphan date November 2006 Oral Torus is a legion made of compact bone and occurs along the palate or the mandible inside the mouth. The palatal torus or torus palatinus occurs along the palate, close to the midline ..
   
   
   
10. Stanford torus
    Image Stanford torus external view by Don Davis AC76 0525.jpg thumb right Exterior view of a Stanford torus. Bottom center is the non rotating primary solar mirror, which reflects sunlight onto the angled ..
    
    
    
11. Torus tubarius
    Infobox Anatomy Name Torus tubarius Latin GraySubject 230 GrayPage 1043 Image Gray915.png Caption Auditory tube, laid open by a cut in its long axis. Torus tubarius not labeled. Image2 Caption2 System ..
    
    
    
12. Torus bundle
    In mathematics , in the sub field of geometric topology , a torus bundle is a kind of surface bundle over the circle , which in turn are a class of three manifold s. Construction To obtain a torus bundle ..
    
    
    
13. Clifford torus
    In geometric topology , the Clifford torus is a special kind of torus sitting inside R sup 4 sup . Alternatively, it can be seen as a torus sitting inside C sup 2 sup since C sup 2 sup is topologically ..
    
    
    
14. Umbilic torus
    Image Umbilic Torus.png thumb right Umbilic Torus Created by Helaman Ferguson , the umbilic torus is a single edged 3 dimensional figure. Ferguson created a 27 inch bronze sculpture, Umbilic Torus , and it is his ..
    
    
    
15. Solid torus
    In mathematics , a solid torus is a topological space homeomorphic to math S 1 times D 2 math , i.e. ... topology . The solid torus is a connected space connected , compact space compact , Orientation ..
    
    
    
16. Complex torus
    In mathematics , a complex torus is a particular kind of complex manifold M , for which ignoring the complex structure the underlying smooth manifold is a torus in the usual sense i.e. the cartesian product ..
    
    
    
17. Torus Games
    Image Torus games logo.gif thumb 130px right Torus Games company logo. Torus Games Pty. Ltd. is a video ... has released over 60 titles with most being on handheld game console s. Torus Games is currently ..
    
    
    
18. Torus Trooper
    Infobox VG title Torus Trooper image Image After tt.png 250px The game s menu developer ABA Games Kenta ... Keyboard , joystick Torus Trooper is a fast paced abstract scrolling shooter game created by Kenta ..
    
    
    
19. Torus palatinus
    Infobox Disease Name PAGENAME Image 06 06 06palataltori.jpg Caption This is an example of palatal torus ... Torus palatinus pl. palatal tori is a bone bony exostosis growth on the palate . Palatal tori are usually ..
    
    
    
20. Torus mandibularis
    MeshID Torus mandibularis pl. mandibular tori is a bone bony exostosis growth in the mandible ... 21. ISBN 0 7216 9003 3. ref In 90 of cases, there is a torus on both the left and right sides, making ..
    
    
    
21. Mapping torus
    Unreferenced date November 2007 In mathematics , the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f . Take the cartesian ..
    
    
    
22. Torus Tammer
    Refimprove date May 2008 Torus Tammer b. 1969 is an Australia n film maker . Tammer was born in Melbourne, Australia and moved to Los Angeles in 1992 and began working odd jobs on low budget films. During ..
    
    
    
23. Double torus knot
    A double torus knot is a closed curve drawn on the surface called a double torus think of the surface of two doughnut s stuck together . More technically, a double torus knot is the homeomorphic image ..
    
    
    
24. Torus-based cryptography
    Torus based cryptography involves using algebraic torus algebraic tori to construct a group mathematics ... compactly and therefore transmiting fewer bits. References Karl Rubin, Alice Silverberg Torus Based ..
    
    
    
25. Loewner's torus inequality
    In differential geometry , Loewner s torus inequality applies to general Riemannian metric s on the 2 torus . In 1949 Charles Loewner proved that every metric on the 2 torus math mathbb T 2 math satisfies ..