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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
What is meant by an anholonomic space and an idempotent vector?
An anholonomic space, more commonly referred to as a nonholonomic space, is simply a path-dependent space.
For example, if I went to the kitchen to get a snack, I know that, regardless of what path I take to get back to my room, I will get back to my room. I could have gone outside, on the roof, to a liquor store, or wherever, but the ultimate result from adding up all those paths is that I'll be back in my room. That is because I'm in a holonomic space, or a path-independentspace. Now, if after traveling to all those locations I came back to what I thought should be my room, but instead found myself at, say, the beach, I would be in an anholonomic space, where my destination changes depending on my path taken, ie. my destination is path-dependent.
An idempotent vector doesn't really have any meaning since the concept of idempotence applies to operations. The term idempotence basically just means something that can be applied to something else over and over again without changing it, like adding zero to a real number or multiplying that number by one. That's why a vector, in and of itself, can't be idempotent. However, multiplyinga unit basis vector, ie. one that wouldn't change the magnitude or direction of another vector, to another vector would be an idemtopic operation in a vector space.
Topology is always useful when looking at how a network is physically constructed or wired. This gives the network technician some idea of how the network is put together when diagnosing problems.
How do host on a physical ring topology communicate?
How do hosts on a physical ring topology communication
How many digrees does a scaline triangle have?
The 3 interior angles of a scalene triangle add up to 180 degrees
How is the convergence of a sequence defined?
Let B, D be a metric space, p be any positive number, m be a positive integer, and {sn}, n Є N be a sequence in B. Then sn converges to a point c Є B if given there's an m for every p such that n > m, then sn Є N(c, p), the D-pneighborhood of c. c is said to be the limit of sn and can be written sn --> c.
See related links for more information.
How many different fractals are there in the universe?
By their very nature fractals are infinite in extent.
Is there a concept in mathematics that is impossible to prove a thing does not exist?
There is no such concept because it is not true. There are many mathematical proofs based on proving the non-existence of a thing.
The following example should demonstrate.
I want to prove that the biggest number does not exist.
Let us suppose it does exist, and let us call it B (for biggest).
But then consider B + 1.
B + 1 is bigger than B (this can be proved as well).
So B cannot be the biggest number.
That is, there is no such number B. In other words, the biggest number does not exist.
What is a complex combination of pure topologies?
The complex combination of pure topologies is called a Hybrid. Examples of hybrid are star ring network and star bus network.
What are The notion that different measurement bases create a problem of additivity?
Different measurement bases, such as LCM or HC, create the problem of additivity as it is akin to adding height to weight. Also, when using HC, the figure is not particularly relevant due to the issue of changing purchasing power of money.
Where can I get a schematic drawing savage 219 rifle?
Gun Digest, Exploded views.... Numrich Arms Parts Catalog...
Topology refers to the physical wiring of a network. There are 4 basic types of topologies:
- bus
- star
- ring
- mesh and/or hybrids
Which larger shape would be made if the two sectins are fitted togethr?
Well, honey, if you slap those two sections together, you'd end up with one big ol' shape, now wouldn't you? It's like putting two puzzle pieces together to make a bigger picture. So, to answer your question, the larger shape would be a combination of the two sections fitting snugly side by side.
What devices is most efficient at moving packet between similar network topologies?
A router is the most efficient device at moving packets between similar network topologies. Routers operate at the network layer (Layer 3) of the OSI model and are designed to determine the best path for packets to travel based on destination IP addresses. They use routing tables to make these decisions and can handle different types of network topologies, such as Ethernet, Wi-Fi, and fiber optic networks, making them versatile and efficient for packet forwarding.
How do you draw an isometric projection of a hexagon?
Well, honey, to draw an isometric projection of a hexagon, you start by drawing the front face of the hexagon as a regular hexagon. Then, you extend the sides of the hexagon at 30-degree angles to create the isometric view. It's as simple as that, darling. Just remember, practice makes perfect!
Which network topology is the best for school network?
It seems like the issue might be related to either the Splunk Universal Forwarder configuration or log file permissions. First, ensure that your inputs.conf and outputs.conf files are correctly set up, with the right log paths and destination indexer details. Check the internal logs, such as splunkd.log, by navigating to /opt/splunkforwarder/var/log/splunk/ instead of /var/log. If no logs are present, verify that the Universal Forwarder has the right permissions to access the log files and is running properly. You can enable debug logging in the log.cfg file for more detailed output and restart the forwarder to apply any changes.
What a star topology uses a to connect all of the nodes?
A star topology uses a central network device, such as a hub or a switch, to connect all nodes in the network. Each node is connected directly to the central device, creating a centralized architecture that simplifies network management and troubleshooting.
In a star topology, all devices are connected directly to a central hub or switch. This central device manages the flow of data between all connected devices, minimizing network collisions and enabling easy addition or removal of devices without affecting the network as a whole. However, if the central hub fails, the whole network can be affected.
What is a complex combination of topologies known as?
A complex combination of topologies is often referred to as a hybrid topology. It combines two or more different basic network topologies, such as star, bus, ring, or mesh, to meet the specific needs of a network infrastructure. Hybrid topologies offer a balance of scalability, fault tolerance, and performance.
