i want to konw more about the use of the ring topology?
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All devices are connected to one another in the shape of a closed loop, so that each device is connected directly to two other devices, one on either side of it. Ring topologies are relatively expensive and difficult to install, but they offer high bandwidth and can span large distances. \n\nYou have to have two network card per computer not easy to setup eather. Each card has to have it own IP address given to it in Network settings.
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You might try reading Whitehead and Russell's Principia Mathematica.  I can't promise it will help, as I haven't read it, but I've been told that this issue is addressed.
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Here's a nice site:\n\nhttp://www.mathematische-basteleien.de/tangrams.htm
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http://en.wikipedia.org/wiki/Squaring_the_circle\n\nAll you need is there...
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http://www.networkphysics.com/products/literature/case_studies/mpls.shtml
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Your question is a little confusing. Network Topology is not a theory, it is a reference to the arrangement or physical layout of computers, cables, and other components on the network. A network's topology affects its capabilities. The choice of one topology over another will have an impact on many things, including:\n\n-What type of equipment the network needs\n-Capabilitites of the equipment\n-Growth of the network\n-Way the network is managed\n\nAll network designs stem from four basic topologies: Bus, Star, Ring, and Mesh. All four topologies have advantages and disadvantages. Cost, network speeds, and system reliability are but a few. \n\nTransient analysis is also not a theory but a method, it  provides for plotting of any time-domain waveform. Some variables include digital state, voltage, current, power, energy, charge, resistance, capacitance, inductance, B field, and H field. A variety of variables and mathematical functions are available to simplify plots. Transient analysis is used (in electronics) to better understand the circuits behavior in relation to time.
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Best to check out the technical documentation on it. See sources for a link.
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http://softsurfer.com/history.htm \nhttp://aleph0.clarku.edu/~djoyce/mathhist/geometry.html \nhttp://math.youngzones.org/geom_history.html \nhttp://www.britannica.com/eb/article-217471 \nhttp://library.thinkquest.org/C006354/history.html \nhttp://www-history.mcs.st-andrews.ac.uk/Indexes/Geometry_Topology.html \n\nHope these help.
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take a look at this website you mite find it to some use http://100777.com/node/1146
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Well,\nNETWORK TOPOLOGY\nTopology refers to the way in which the network of computers is connected. Each topology is suited to specific tasks and has its own advantages and disadvantages. \n\nThe choice of topology is dependent upon \n\ntype and number of equipment being used \nplanned applications and rate of data transfers \nrequired response times \ncost \nThere are FOUR major competing topologies \n\nBus \nRing \nStar \nFDDI \nMost networking software support all topologies. \n\n\n--------------------------------------------------------------------------------\n\n Bus Topology\n\n\nall workstations connect to the same cable segment \ncommonly used for implementing Ethernet at 10mbps \nthe cable is terminated at each end \nwiring is normally done point to point \na faulty cable or workstation will take the entire LAN down \ntwo wire, generally implemented using coaxial cable during the 1980's \nThe bus cable carries the transmitted message along the cable. As the message arrives at each workstation, the workstation computer checks the destination address contained in the message to see if it matches it's own. If the address does not match, the workstation does nothing more. \n\nIf the workstation address matches that contained in the message, the workstation processes the message. The message is transmitted along the cable and is visible to all computers connected to that cable. \n\nThere are THREE common wiring implementations for bus networks \n\n10Base2 (thin-net, CheaperNet) 50-ohm cable using BNC T connectors, cards provide transceiver \n10Base5 (ThickNet) 50-ohm cable using 15-pin AUI D-type connectors and external transceivers \n10BaseT (UTP) UTP cable using RJ45 connectors and a wiring centre \n\n--------------------------------------------------------------------------------\n\n Physical Implementation Of A Bus Network\n\n\n \n\nThe above diagram shows a number of computers connected to a Bus cable, in this case, implemented as Thin Ethernet. Each computer has a network card installed, which directly attaches to the network bus cable via a T-Connector. \n\nIt is becoming common to use 10BaseT (UTP) for implementing Ethernet LANS. Each workstation is wired in star fashion back to a concentrator wiring centre (hub). The hub is a multi-port device supporting up to about 32 ports. One of these ports is connected to a server, or the output of the hub can be connected to other hubs. \n\n\n--------------------------------------------------------------------------------\n\n Ethernet 802.3: Carrier Sense Multiple Access with Collision Detection (CSMA/CD)\nThis protocol is commonly used in bus (Ethernet) implementations. \n\nMultiple access refers to the fact that in bus systems, each station has access to the common cable. \n\nCarrier sense refers to the fact that each station listens to see if no other station is transmitting before sending data. \n\nCollision detection refers to the principle of listening to see if other stations are transmitting whilst we are transmitting. \n\nIn bus systems, all stations have access to the same cable medium. It is therefore possible that a station may already be transmitting when another station wants to transmit. Rule 1 is that a station must listen to determine if another station is transmitting before initiating a transmission. If the network is busy, then the station must back off and wait a random interval before trying again. \n\nRule 2 is that a station which is transmitting must monitor the network to see if another station has begun transmission. This is a collision, and if this occurs, both stations must back off and retry after a random time interval. As it takes a finite time for signals to travel down the cable, it is possible for more than one station to think that the network is free and both grab it at the same time. \n\nCSMA/CD models what happens in the real world. People involved in group conversation tend to obey much the same behavior. \n\n\n----------------
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http://hamilton.bell.ac.uk/hncexam/Samplepaper.doc ;-)
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Topology is the physical layout of the PC in a network, such as Bus, Star, Ring, Mesh, Tree etc. Just search for the temrs & u will find thousands of references.
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Do you want homeomorphism classes or actual different topologies?\nLet's count both with the set X={1,2,3}:\n1) The indiscrete topology: {{},X}\n2) The discrete topology: all subsets.\n3) one open set with one point: {{},{1},X}\n   There are three of these.\n4) One singleton open, the complement open also:\n   {{},{1},{2,3},X}\n   There are three of these.\n5) one singleton open, one pair with element open.\n   {{},{1},{1,2},X}\n   There are six of these.\n6) One singleton open, both pairs with that element open:\n   {{},{1},{1,2},{1,3},X}\n   There are three of these.\n7) Two different singletons open, one pair open:\n   {{},{1},{2},{1,2},X}\n   There are three of these.\n8) Two different singletons open, two pair open\n   {{},{1},{2},{1,2},{1,3},X}\n    There are three of these.\n9) One open set with two points: {{},{1,2},X}\n   Again, three of these.\n\nNow, if all three singletons are open, the topology is disrete. If all three pairs are open, all singletons are also, so the topology is discrete(2). If two pairs are open, their intersection singleton is open. In this case, one other singleton may be open(6,8). If only one pair is open, then one or both singletons in that pair may be open(5,7), or the complement can be open(4), or no singleton may be open(9). If no pairs are open, one singleton may be(3), or none may be (1).
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Bus topology: \n                            All devices are connected to a central cable, called the bus or backbone. Bus networks are relatively inexpensive and easy to install for small networks. Ethernet systems use a bus topology. This topology uses Co-axial Cables.\n\nRing topology : \n                             All devices are connected to one another in the shape of a closed loop, so that each device is connected directly to two other devices, one on either side of it. Ring topologies are relatively expensive and difficult to install, but they offer high bandwidth and can span large distances. Here if and one system become fails, the total network will get collapsed.\n\nStar topology: \n                            All devices are connected to a central hub. Star networks are relatively easy to install and manage, but bottlenecks can occur because all data must pass through the hub. This topology uses UTP CAT5 cables. Normally this type of network is followed in most places.\n\nFor further information along with pic, visit\nhttp://www.webopedia.com/TERM/T/topology.html
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Have a look at the diagrams on the website below
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A network topology is the geometric arrangement of nodes and cable links in a LAN, and is used in two general configurations: bus and star. These two topologies define how nodes are connected to one another. A node is an active device connected to the network, such as a computer or a printer. A node can also be a piece of networking equipment such as a hub, switch or a router.\n\nA bus topology consists of nodes linked together in a series with each node connected to a long cable or bus. Many nodes can tap into the bus and begin communication with all other nodes on that cable segment. A break anywhere in the cable will usually cause the entire segment to be inoperable until the break is repaired. Examples of bus topology include 10BASE2 and 10BASE5.\n\n10BASE-T Ethernet and Fast Ethernet use a star topology, in which access is controlled by a central computer. Generally a computer is located at one end of the segment, and the other end is terminated in central location with a hub. Because UTP is often run in conjunction with telephone cabling, this central location can be a telephone closet or other area where it is convenient to connect the UTP segment to a backbone. \n\nThe primary advantage of this type of network is reliability, for if one of these 'point-to-point' segments has a break, it will only affect the two nodes on that link. Other computer users on the network continue to operate as if that segment were nonexistent.
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contact the place where you purchased the ring and ask for their advice. good luck