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Topology

While geometry is primarily concerned with the mathematical properties of spatial objects, topology is concerned with the mathematical properties of those objects under continuous deformations. Please post all questions about topological subjects like homeomorphisms, manifolds, convergence, and connectedness, as well as their broad applications in computing, physics, and graph theory, into this category.

1,087 Questions

Advantages of a line topology?

The advantage is that you can hook things up all together. It allows different computers and technology to communicate with each other.

Which statements describe the logical token-passing topology?

Computers are allowed to transmit data only when they possess a token.

Electronic tokens are passed sequentially to each other.

How do you define a metric space through the use of sets?

The concept of a distance, or metric, between the elements of a set is well defined in topology. Let B be any set with x, y, z Є B, and let D be a function from the Cartesian product, B X B, into the set of real numbers, R. D is called a metric on B if the following four statements hold:

1) D(x,y) ≥ 0 for all x, y

2) D(x,y) = D(y,x) for all x, y

3) D(x,y) = 0 if and only if x = yfor all x, y

4) D(x,y) + D(y,z) ≥ D(x,z) for all x, y, z

In this case, the set B having metric D is called a metric space, and is often notated as B, D.

For more information and related definitions, see the links below.

How does lan architecture differ from a lan topology?

The LAN Topology is only one of the parts that make up a LAN Architecture. The Topology refers to the way the components in a network are physically connected and the most common Topologies in Ethernet are: Bus, Token Ring, and Star. Bus consists of a single cable segment with all the components connected to that single cable with T-connectors; Token Ring consists of, as the name implies, a cable ring to which all the components are connected and in which data flows in one direction except in the case of an interruption in the ring caused by a computer being down and a token is passed between the computers with whomever holds the token having transmit priority; the last and most currently used is the Star Topology in which all the components are connected to a switch that controls traffic between them. The Architecture encompasses more than just the Topology, defining the type of media (Twisted Pair/Fiber Optic) used to transmit the data, the speed of the transmission, the type of signal (base or broadband), and the maximum length of a segment of cable. Look up IEEE Ethernet Standards for Wired Networks for more information. Whoever answered this question before saying there's no difference has no idea what they're talking about, take it from someone who is studying Information Systems in business and is taking a test on precisely this subject in a LAN class the day after writing this. I hope I answered your question satisfactorily.

Which network topology is secure?

Mesh topology is the most secure topology bcoz in mesh topology each device has a dedicated link to others .

What type of topology is used in common computer labs?

If it is for a school then there may not be more than 15 students per batch, so depending upon the no of desktops one can go for bus topology since, it is faster, easy to install and cheaper and there is no issue of middle device like switch of hub.

What topology does the cable tv wan use?

Cable TV WANs use a distributed architecture that consists of several star-shaped centralized locations. The focal point in the star is the head-end, which is the central receiving point for signals from various sources, including satellite, other major cable sources, and local television sources. The head-end is a grouping of antennas, cable connections, microwave towers, satellite dishes, and it distills all incoming signal sources and transfers them to remote distribution centers through trunk line.

Show that the natural set of numbers is an unbounded set?

Here is a correct proof by contradiction.

Assume that the natural numbers are bounded, then there exists a least upper bound in the real numbers, call it x, such that n ≤ x for all n.

Consider x - 1. Since x is the least upper bound, then x - 1 is not an upper bound; i.e. there exists a specific n such that x - 1 < n.

But then, x - 1 < n implies x < n + 1, hence x is not an upper bound.

QED

This concludes the proof; i.e. there exists no upper bound in the real numbers for the set of natural numbers.

P.S. There exists sets in which the set of natural numbers are bounded, but these are not in the real number system.

How can a physically connected star hub logically be considered a bus network?

in the star topology central system switch or hub act as a central devices and if it fails whole the system will fail, in star topology if one station only transmit at a time other wise the collision will occur and it will broadcast the data like a bus.so it contains the properties like bus that's why said that it is logically a bus

How does star topology connect to other topology by switch hub and router how does star topology connect with other topology with such router and hubs?

In a star topology, all devices are connected to a central hub or switch, which manages data traffic between them. When integrating with other topologies, such as bus or ring, a router can be used to connect different network segments, allowing communication across diverse network structures. The central hub or switch facilitates easy management and troubleshooting, while the router enables data routing between multiple topologies, ensuring seamless connectivity. This setup enhances network flexibility and scalability.

Is bilirubin connected with hepatitis?

When the liver is damaged as with hepatitis it is no longer able to metabolize the bilirubin in the blood and causes jaundice which is a yellowing of the whites of the eyes and skin.

Which network topology will allow all devices to continue to communicate with each other should a network cable fail A bus B extended star C mesh D ring E star?

Only a Mesh will allow every node to continue to work on a network if one cable does down. In a Star topology, however, only the computer the cable was connected to would lose contact with the network.

Where do fish lay eggs and why?

Some carry their young until hatched, some bury them and then they hatch others like the siamese fighting fish have the male create a bubble nest on the surface and the eggs are collected by the male in their mouths and blown in to the bubbles untill young hatch. The eco system is vast where fish are concerned and because of predators they have come up with cleaver ways to continue reproduction

What are the best network topology for 50 computers?

Mesh Topology... though if you use a beefy-enough machine in the middle, a Star topology might work.

Why is star bus topology good?

Star topology is good because in star topology if any computer has some problem then all computer not disturb and continue their working

How does LAN work?

LANs
  • A Local Area Network is a small network which is usually contained within one building or campus. It is usually a private network, unlike the public internet. An Administrator in charge controlls file sharing, access and many other factors. LANs can be connected to public networks like the Internet, with some precautions (against hackers, viruses etc). Usually a firewall/proxy server/router acts as the gateway between the LAN and the Public Network. A popular wired LAN technology is the Ethernet (Sometimes called IEEE 802.3). These days Wireless LANs are becoming popular. They are collectively known as IEEE 802.11 LANs.
  • I could spend hours going into detail about this question, but I won't. Basically the proxy server will go to internet to pull a webpage for the client requesting it. It also will store a copy of this page (cache) for future requests. Another function of the proxy is that is hides the clients IP address from the "outside world", and uses its own. Therefore, the webmaster of the webpage cant see the IP of the client requesting the page because in actuallity the proxy is requesting the page.

LAN

lan stands for the local area network .ie if you are connecting you comouter or devices (printer ) in a specific limited area ie locally .

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A LAN allows certain computers on the network to offer their resources (hard disks, floppy disks, CD-ROMs, Printers, Modems, etc.) for use by other computers on the network as if they were their own. Computers that offer resources are called Servers.

Computers called Workstations can attach the resources (typically hard disks and printers) offered by servers as if they were their own. For instance, at AA Company, computer #1 has a C: hard disk and a D: CD-ROM. Computer #2 has a C: hard disk and a D: CD-ROM, but computer #2 also attaches computer #1's C: drive as it's own F: drive. To the user of computer #2 it looks as if drive F: is in his own computer. He can use files and programs from the F: drive just as he can from his own C: drive. The network software module that performs this slight of hand is called the redirector.

A computer can be both a Server and Workstations at the same time, in which case it is called a Peer. Networks without dedicated servers are called peer-to-peer networks. Networks with one or more dedicated servers are called server based networks even though they may also have peers on them.

Back to our example. The network computers #1 and #2 are on has a server, computer #3. Computers #1 and #2 each have a copy of an accounting program on them, but both read and write accounting data to their G: drive, which is actually C: on computer #3. The tape backup unit is on computer #3 and backs up all the accounting data for all the computers every night by backing up its own C: drive.

When computers #1 and #2 are using the accounting software that software is running in their own memories. The server is not involved at all except to offer its hard disk for data storage. This server is called a file server.

Since this is a Windows accounting package it is big and slow and swaps to disk a lot, so each computer has it installed on its own hard disk to get decent performance. In the days of small fast DOS programs, workstations would also load the program from the server, so it only had to be installed once in one place.

When computers #1 and #2 do sorted reports, every record has to be read from the server and sorted in the memory of the workstation and written back to temporary files on the server. This causes a lot of network traffic on a larger network.

Lets say AA Company grows a lot and now still has computers #1, #2 and server #3 but has added additional workstations #4 through #29 - and lots of users of the accounting software. all that network traffic causes the network to get really bogged down and users start to complain.

What AA Company does now is ditch that Windows accounting package and install a new multiprocesor Compaq server running Windows NT. The new accounting package uses the Oracle database program to store its data at the server. This new package actually runs on the server (which is now called an application server because it has applications programs running on it). The workstations just have a client program that asks for records and has input and viewing screens. If a client asks for a sorted report all the work is done at the server, cutting network traffic way down. This is called a Client Server network.

Meanwhile, across town, BX Company started with its accounting on a Xenix host computer with some "green screen" terminals wired to it (instead of PCs like AA Company used). There was no network at all, just a lot of serial cables connecting dumb terminals and printers to the host computer.

As it grew, BX upgraded to a Unix host computer and added some PCs that were also wired back to the host and ran terminal emulation software so they could act as terminals to use the accounting. Some of the PCs also got their own printers, which also act as slave printers to the Unix box. Still no network.

Finally, BX Company needed to exchange marketing and project files among the PCs, so they installed a peer-to-peer network connecting all the PCs, and included their big honk'n Sun Enterprise Unix box in the network too. The PCs dumped the terminal emulation package and use telnet which allows them to act as terminals over the network - no more serial cables. Later they add a Linux box to the network to act as a file server, as an Intranet Web server and as a firewall for their DSL connection to the Internet.

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ANSWER

LAN is a Huge topic and to know how it works you need to understand what it features are and in what ways a LAN can work like it can work in a Ring Network,Bus Network...It can be used With WAN from a larger to cover a small area,The transmission can be provided by the Token Passing Technique or the Carrier Sense Multiple Access/Collision Detection Technique...The OSI Layers...The hardwire and the software Required...and so On.

I think you can start from the basics to have a better understanding and don't miss out anything.Search in Google or better buy a Book on Networking.

Why star topology is the best topology for school?

A school would have a large network enterprise. A lot of students and staff members would be trying to use the network from all over the school. A database would be recommended to be in the center of the enterprise for easier access for users.