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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.

1,055 Questions

What a star topology uses a to connect all of the nodes?

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Asked by Wiki User

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.

How star topology works?

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Asked by Wiki User

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?

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Asked by Wiki User

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.

What are two examples of a isometric crystal?

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Asked by Wiki User

Two examples of isometric crystals are diamond and pyrite. These crystals have cubic symmetry and their faces are all equal in length.

What is the most commonly used physical topology?

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Asked by Wiki User

The most commonly used physical network topology is the star topology. This design features a central device, such as a switch or hub, to which all other devices are connected. It is widely used in modern Ethernet networks due to its simplicity and ease of troubleshooting.

In the ring topology what happens if one ofthe stations is unplugged?

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Asked by Wiki User

If a station in a ring topology is unplugged, it breaks the loop and disconnects the network. Communication to other stations on the ring will be interrupted until the issue is resolved.

Is bus topology faster than star topology?

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Asked by Wiki User

In terms of speed, bus topology and star topology are comparable since both can offer high data transmission rates. However, bus topology may experience more performance issues such as signal interference and collisions since all devices share the same communication line, potentially affecting overall network speed.

What do peak blood pressures during isometric actions depend on?

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Asked by Wiki User

Peak blood pressures during isometric actions depend on the intensity and duration of the activity. Factors such as muscle mass involved, body position, and individual fitness level can also influence peak blood pressure. Moreover, the valsalva maneuver, in which breath is held during the activity, can further increase peak blood pressure.

How does temperature affects measurement of brix?

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Asked by Wiki User

Temperature can affect the measurement of Brix because refractometers are calibrated to give accurate readings at specific temperatures, usually at 20°C. If the temperature deviates from this calibration point, it can lead to inaccurate Brix readings. Temperature corrections can be applied to compensate for these variations and ensure accurate measurements.

What is the difference between gauge redundancy and symmetry?

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Asked by MSaad

Gauge redundancy arises in physical theories when certain configurations are physically equivalent. Symmetry, on the other hand, refers to invariance of a physical system under a transformation. In gauge theories, the gauge redundancy leads to local symmetries that leave physical observables unchanged.

How is the diaphragm connected to circulation?

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Asked by Wiki User

The diaphragm is connected to circulation through the phrenic nerves, which control the contractions of the diaphragm muscle. When the diaphragm contracts during inhalation, it creates a negative pressure in the chest cavity, allowing the lungs to expand and draw in air, which helps with oxygenation of the blood.

Why is it difficult to trace fault in ring topology?

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Asked by Wiki User

In a ring topology, data travels in a circular path, making it challenging to isolate a fault because the entire network is interconnected. If a fault occurs, it can disrupt the entire network, and finding the exact location of the fault can be tricky without the right tools or monitoring systems in place.

How do you calculate diameter bearing from reaction force?

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Asked by Wiki User

To calculate the diameter of a bearing required to withstand a given reaction force, you need to consider factors such as the material properties, bearing design, and load distribution. It involves calculating the stress on the bearing and ensuring it stays within the allowable stress limit for the material used. It is recommended to consult engineering handbooks or software for specific calculations tailored to the bearing and loading conditions.

What is mesh powder?

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Asked by Wiki User

Mesh powder refers to finely ground particles that have been sieved and classified according to their size using a mesh screen. This classification allows for a more uniform and consistent particle size distribution, making mesh powder suitable for various applications such as in manufacturing, pharmaceuticals, and construction materials.

Is it true that in an active topology each node participates in moving data through the network?

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Asked by Wiki User

Yes, in an active topology, each node participates in moving data through the network by actively sending, receiving, and processing data packets. This type of topology allows for a more dynamic and efficient flow of information compared to passive topologies where nodes only passively relay data.

What happens to packet when corrupted on bus topology?

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Asked by Wiki User

When a packet is corrupted on a bus topology network, the receiving device will detect the corruption using error-checking mechanisms such as CRC (Cyclic Redundancy Check). The corrupted packet will be discarded by the receiving device, and the sender will need to retransmit the packet. This process adds latency to the communication but ensures data integrity.

What is difference between a logical network and physical?

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Asked by Wiki User

A physical network is different from a logical network. Logical networks are defined at the Network layer by the arrangement of the hierarchical addressing scheme. Physical networks represent the interconnection of devices on a common media. Sometimes, a physical network is also referred to as a network segment

Who invented algebra and topology?

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Asked by Wiki User

The word algebra is a Latin variant of the Arabic word al-jabr. This came from the title of a book, "Hidab al-jabr wal-muqubala", written in Baghdad about 825 A.D. by the Arab mathematician Mohammed ibn-Musa al-Khowarizmi. The words jabr (JAH-ber) and muqubalah (moo-KAH-ba-lah) were used by al-Khowarizmi to designate two basic operations in solving equations. Jabrwas to transpose subtracted terms to the other side of the equation. Muqubalah was to cancel like terms on opposite sides of the equation. In fact, the title has been translated to mean "science of restoration (or reunion) and opposition" or "science of transposition and cancellation" and "The Book of Completion and Cancellation" or "The Book of Restoration and Balancing." Jabr is used in the step where x - 2 = 12 becomes x = 14. The left-side of the first equation, where x is lessened by 2, is "restored" or "completed" back to x in the second equation. Muqabalah takes us from x + y = y + 7 to x = 7 by "cancelling" or "balancing" the two sides of the equation. Eventually the muqabalah was left behind, and this type of math became known as algebra in many languages.

What does a negative mesh current imply?

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Asked by Wiki User

A negative mesh current simply indicates that the actual current direction is opposite to the assumed direction in the circuit analysis. This does not alter the magnitude of the current, only its direction. Negative mesh currents are common in network analysis and are used to correctly represent the current flow in a circuit.

What is the theory of continuity?

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The theory of continuity in mathematics states that a function is continuous at a point if the limit of the function at that point exists and is equal to the value of the function at that point. This means that there are no abrupt changes or breaks in the function's graph at that point. Mathematically, a function f is continuous at a point c if lim x→c f(x) = f(c).

What is lateral continuity?

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Asked by Wiki User

Lateral continuity refers to the idea that layers of sedimentary rock extend laterally in all directions until they either thin out or encounter a barrier. This concept helps geologists infer the original extent of rock layers that may have been eroded or faulted. It is important for understanding the spatial distribution and connectivity of rock units in geological formations.

Which of the following topologies is susceptible to bounce?

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Asked by Wiki User

Any technology with the possible exception to token ring may be susceptible to signal bounce when one of the cable segment is disconnected or there is a short in the wire segment. An unterminated end of a wire segment will cause signal bounce because there is no termination at one of the ends to absorb the signal, preventing it from bouncing back into the cable.

What is an example of a simple borel measurable function?

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Asked by Wiki User

One example of a simple Borel measurable function is the indicator function of a Borel set. This function takes the value 1 on the set and 0 outside the set, making it easy to determine its measurability with respect to the Borel sigma algebra.

What is the physics theory of the fifth dimension?

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Asked by Wiki User

The physics theory of the fifth dimension, as proposed in some string theory models, suggests that there may be extra spatial dimensions beyond the familiar three dimensions of space and one dimension of time. These extra dimensions are compactified or curled up at a very small scale, making them difficult to detect with current technology. The existence of these extra dimensions could help explain the fundamental forces of nature and unify the laws of physics.

What are the applications of DNA topology?

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Asked by Wiki User

DNA topology has applications in DNA replication, transcription, and recombination processes. It is also important in the packaging and organization of DNA within cells. Studying DNA topology helps researchers understand how DNA interacts with proteins and other molecules, which can ultimately aid in the development of new drugs and therapies.