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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
How host on physical ring topology communicate?
A ring topology connects neighboring nodes until they form a ring. * signals than travels in one direction around the ring; each device on the network acts as a repeater to send the signal to the next device.
What is the proof that a contraction mapping is a continuous function?
First, we'll start with the definition of a contraction mapping:
Given the metric space (B, d), with x and y Є B, and metric d(x, y) = |y - x|; a function f : B → B is a contraction if there exists some real number k < 1 such that,
d[f(x), f(y)] ≤ kd(x, y).
All that the above is saying is that |f(y) - f(x)| ≤ k|y - x|, or that the distance between y and x that's been scaled down by a factor of k, is greater than or equal to the distance between y and x after the function f has been acted on them. Even simpler; the distance between y and x is less after the function's acted on them than before it had. Hence, the term contraction.
Now, we'll introduce two new variables. Let δ = ε with ε > 0.
If d(x, y) < δ, then d[f(x), f(y)] ≤ kδ. Since k < 1 that means that d[f(x), f(y)] < ε.
Well, that's the definition of a continuous function at the point y, but since y is an arbitrary value, f is continuous on B.
Q.E.D.
What are the advantage and disadvantages of ring topology?
The main advantage of ring topology is that data flows in a singular direction, eliminating collisions. However, if one node in the ring breaks down, the entire network ceases to function.
topology is relationship between connected features in a geometric network ora coverage which may have shared boders . in coverage topology is the spatial relationship between connecting or adjacent features.
by
nashrah khan
What is the difference between geometric transformation and coordinate transformation?
tumahri maa ki chut
What happen if the connection in Mesh topology are failed?
First your grammar is incorrect, it should read: "What would happen if the connection in Mesh topology fail?", Second you should reevaluate your categories. Third I believe it would threaten other computers in the network.
When we need breathability, we use mesh tarps. They are also used to cover gravel, rocks, asphalt, and other materials in transportation. At sports facilities like tennis courts and golf courses, mesh tarps are widely used. Some people choose these tarps because they offer a good balance of visibility and privacy.
What advantage does the mesh topology have over the star and bus topo log?
Mesh topology is reliable and robust as failure of one link doesn't affect other links and the communication between other devices on the network. 3. Mesh topology is secure because there is a point to point link thus unauthorized access is not possible.
How many 10inchx10inch tiles are needed for a 12000 square foot?
Each tile will cover 100 square inches. 12,000 square feet is 1,728,000 square inches. You will need 17,280 tiles.
In a multipoint topology the hub can send to one or more systems based on an address. Frame Relay is the most common technology to implement this scheme, and it is typically used as a WAN technology. All the remote connection points are connected to a single Frame Relay switch or router port, and communication between sites is managed by that central point. In hub and spoke, all spokes or only one spoke hears a given transmission. In point to multipoint, any number of remote stations can be accessed.
What is an example of a tetrahedron?
A tetrahedron is a pyramid with a triangular base.
An example would be this kite:
http://en.wikipedia.org/wiki/Tetrahedral_kite
How many edges does an octagonal prism have?
An octagonal prism has 24 edges.
An octagonal prism has 16 vertices.
An octagonal prism has 10 faces, two octagons on the "ends" and eight quadrilaterals (often rectangles) on the "sides". The correct number is 24
What hardware is needed for a bus topology?
well personally i think that due to to the fact that you have taken the time to ask this qu
Active Directory NC (Naming Context's)
- Active Directory consists of three partitions or naming contexts (NC)
- Domain, Configuration and Schema Naming Contexts
- Each are replicated independently
- An Active Directory forest has single schema and configuration
- Every domain controller (DC) holds a copy of each (schema, configuration NC's)
- Forest can have multiple domains
- Every domain controller in a domain holds a copy of the domain NC
What are the advantages and disadvantages of AVL trees?
AVL trees offer several advantages, including guaranteed O(log n) time complexity for search, insertion, and deletion operations due to their self-balancing nature, which ensures that the tree remains height-balanced. However, they also have disadvantages, such as the overhead of maintaining balance through rotations during insertions and deletions, which can lead to increased complexity in implementation. Additionally, AVL trees may require more memory for storing balance factors compared to other tree structures.
What are the step in an isometric drawing?
kumuha ng lapis step 1 kumuha ng papel step 2 at gawin na nagyon step 3
Which Topology there is a central controller or hub?
In a star topology, there is a central controller or hub. This hub acts as a central point for all network devices, allowing them to communicate with each other through it. If one device fails, it does not affect the others, making troubleshooting easier. However, if the central hub fails, the entire network goes down.
Which network topology would you choose if you were responsible for creating your own networkwhy?
If I were responsible for creating my own network, I would choose a star topology. This design offers ease of installation and management, as all devices connect to a central hub, making it simpler to troubleshoot and isolate issues. Additionally, it provides better performance since each device has a dedicated connection to the hub, minimizing data collisions. Lastly, if one connection fails, it doesn’t affect the rest of the network, enhancing overall reliability.
Cables used in a star bus topology?
Star topology is like the network is done by easily adding another network and the most common cable is used unshielded twisted pair cable. For the star topology purpose, Cat5 and Cat6 cable is used because it is an unshielded and shielded twisted pair cable.
Why singleton set is not open in Q?
In the context of the rational numbers ( \mathbb{Q} ) with the standard topology induced by the real numbers ( \mathbb{R} ), a singleton set ( {q} ) (where ( q ) is a rational number) is not open because for any point ( q ) in ( \mathbb{Q} ), every open interval around ( q ) contains both rational and irrational numbers. Therefore, any interval ( (q - \epsilon, q + \epsilon) ) intersects with points outside the singleton set, meaning it cannot be entirely contained within ( {q} ). Thus, singleton sets do not satisfy the definition of an open set in ( \mathbb{Q} ).
Why is ring topology useful in a school?
A ring topology is useful in a school network because it provides a redundant path for data transmission, ensuring network reliability. It is easy to troubleshoot and isolate issues in a ring network due to its circular structure. Additionally, it offers high bandwidth efficiency as data travels in one direction, minimizing collisions and congestion.
