Definitions

1. Topologies are usually interesting only when the number of points and the number of open sets are uncountable.
2. Topologies are bus star or tree and transmission is via twisted pair, coaxial, or fibre optic cable at a speed of 10 Mbps.
3. Topologies are either physical or logical.
4. Topologies are the important part of the network design theory.
5. Topologies are often best understood by describing how sequences converge.

Mesh Topology

1. The mesh topology is still regarded as one of the major network topologies of the networking world.

Weak Topology

1. There are also other popular topologies, but the weak topology is probably the most important.

Norm Topology

1. The above result is false, in general, if one is considering other topologies in besides the norm topology (see, for example, the Banach-Alaoglu theorem).

Local Area Networks

1. Star topologies are not just used by local area networks.

Point-To-Point Topologies

1. Networks of routers are often configured as point-to-point topologies.
2. In point-to-point topologies, the media interconnects just two nodes.

Star Topology

1. Logical bus and ring topologies are often implemented physically in a star topology, which is illustrated in Figure 2-5.
2. Of these three network topologies, the star topology is the most predominant network type and is based on the Ethernet standard.

Natural Topologies

1. Topology The diffeomorphism group has two natural topologies, called the weak and strong topology.
2. The diffeomorphism group has two natural topologies, called the weak and strong topology (Hirsch 1997).
3. We consider conditions under which the compact-open, Isbell, or natural topologies on the set of continuous real-valued functions on a space coincide.

Star Networks

1. Because most star topologies use twisted-pair cables, the initial installation of star networks is also easier.
2. For example, two star networks connected together exhibit hybrid network topologies.

Various Topologies

1. Ethernet at Layer 1 involves signals, bit streams that travel on the media, physical components that put signals on media, and various topologies.

Basic Topologies

1. More complex networks can be built as hybrids of two or more of the above basic topologies.
2. Mesh More complex networks can be built as hybrids of two or more of the above basic topologies.

Several Different Topologies

1. LANs are designed in several different topologies, or physical patterns, connecting terminals.

Hybrid Topology

1. A hybrid topology is always produced when two different basic network topologies are connected.

Star Network Topologies

1. Tree and hypertree networks are important special cases of star network topologies.
2. Cards for coax cabling are shipped in two different variants: for BUS and STAR network topologies.

Different Network Topologies

1. Different network topologies offer different advantages and disadvantages in cost, complexity, and robustness.
2. Tree and hypertree networks Diagram of different network topologies.

Standard Topologies

1. Local Area Networks (LANs) are typically built using one of four types of standard topologies.
2. The standard topologies on R, Q, and N are the order topologies.
3. In fact, we have used the concept of distance in R1 and Rn already to define the standard topologies on these spaces.

Lan Topologies

1. LAN topologies define the manner in which network devices are organized.
2. LAN TOPOLOGIES The physical arrangement of the components of a LAN is called its configuration or topology.
3. I will discuss the different physical LAN topologies and how they work.

Common Topologies

1. The most common topologies or general configurations of networks include the bus, star, and ring topologies.
2. Common topologies used to arrange computers in a network are point-to-point, bus, star, ring, and mesh.
3. The most common topologies: Bus Physical Topology Best used in small area of network.

Possible Topologies

1. The two Possible topologies for Ethernet are bus and star.
2. The binary relation ⊆ defines a partial ordering relation on the set of all possible topologies on X.
3. Topology of the Universe - A thesis (in PDF format) which studies the possible topologies of the universe and their physical implications.

Common Network Topologies

1. Common network topologies include the bus, star, and ring.
2. Other common network topologies are the bus network and the ring network.

Grothendieck Topologies

1. So to show that the Canonical topology exists, simply intersect all the Grothendieck topologies such that the representable presheaves are sheaves.
2. The theory of Grothendieck topologies was developed by Alexander Grothendieck and Michael Artin.

Linear Bus

1. Linear bus topologies are commonly used in peer-to-peer LANs using co-axial (coax) cabling and 50-93 ohm terminators at both ends of the bus.
2. It is a combination of the linear bus and star topologies and operates over one main communication line.
3. The three basic topologies used in building a LAN are the linear bus, the star, and the ring.

Common Computer Network Topologies

1. Star networks are one of the most common computer network topologies.
2. Star network - Star network is one of the most common computer network topologies.

Distinct

1. Two valuations and of are called independent if the topologies and are distinct; this is equivalent to the fact that the valuation rings and generate.

Product

1. These categories surely have some objects that are "special" in a certain way, such as the empty set or the product of two topologies.

Way

1. Decisions regarding local area network (LAN) topologies and MAC protocols can affect the way a network is managed for years to come.
2. The way we built up open and closed sets over a metric space can be used to produce topologies.
3. In this way, clusters of genes (topologies) showing similar patterns of support across topologies (genes) are grouped together and easily seen.

Different Ways

1. There are several general categories of LAN physical topologies, which really are just different ways of stringing cable from station to station.

Conversely

1. Conversely, there are Grothendieck topologies which do not come from topological spaces.

Rational

1. The rational numbers admit topologies, other than the Dedekind topology, which are compatible with additive structure.

Expensive

1. More expensive than linear bus topologies because of the cost of the concentrators.
2. Mesh networks, obviously, would be more difficult and expensive to install than other network topologies because of the large number of connections required.

Respect

1. All uniformly continuous functions are continuous with respect to the induced topologies.
2. Completely regularity and the Tychonoff property are well-behaved with respect to initial topologies.

Wire

1. While full mesh topologies provide the benefit of a fully redundant network, they can be difficult to wire and manage and are more costly.

Discussion

1. Another important element in the discussion of topologies is the presence or absence of support for multiple traffic classes: these classes.
2. This paper is devoted to the discussion of the relationship between fuzzifying topologies and fuzzy relations.

Different Types

1. The result is interoperable parts that network managers can combine to give different types of NAC enforcement in different network topologies.

Variety

1. If X and Y are topological vector spaces, the space L(X, Y) of continuous linear operators f: X → Y may carry a variety of different possible topologies.
2. These four topologies can be combined in a variety of more complex hybrid topologies.
3. A secure, feature-rich, customizable embedded Linux network appliance for use in a variety of network topologies.

Tree Topology

1. Tree topology is very dynamic in nature and it holds potential of expandability of networks far better than other topologies like Bus and Star.

Advantages

1. These network mappings aim at harnessing the advantages of each of the basic topologies used in them.

Complex

1. The rational, real, complex and p -adic numbers are also topological rings (even topological fields, see below) with their standard topologies.

Form

1. Often, a mesh topology will be used in conjunction with other topologies (such as Star, Ring and Bus) to form a hybrid topology.
2. Many ring networks add a "counter-rotating ring" to form a redundant topologies.
3. Typically to form a tree network, multiple star topologies are combined together.

Squares

1. Susko E: Software for confidence regions and hypothesis tests for topologies using generalized least squares.

Analysis

1. The other indirect argument against altered mating mechanism as the driving force for speciation comes from the analysis of topologies of phylogenetic trees.
2. The number of genes and topologies in the analysis are indicated on the heat map.

Comparison

1. Comparison of Operator Topologies The norm topology is the strongest of the topologies defined above.
2. See the below table for a quick understanding and comparison of topologies, cable media and protocols used.
3. We tested our method extensively for indexing and comparison of about one hundred of surfaces with various topologies, geometries and resolutions.

Similar

1. He first made the point that this is very similar to the wedge of circles (but that it is not homeomorphic - their topologies are very different).
2. For most virus comparisons, the topologies of phylogenetic trees were similar in both ORFs, with two exceptions.

Subset

1. The product topology is a subset of the box topology; if is finite, then the two topologies are the same.

Lemma

1. Using Lemma 3, one can find a sequence going to infinity such that converges in the strong (and dual strong) operator topologies to an -tight contraction.

Routing Protocol

1. Management designed routing protocol should be energy-efficient having good comprehension of network topologies.
2. Although partial mesh topologies are available, they are limited by both the routing protocol and the possibility of a dynamic public IP address.

Number

1. There are a number of different network topologies, and a network may be built using multiple topologies.
2. Let T(n) denote the number of distinct topologies on a set with n points.
3. Because of the number of cables required and the need for network devices, the cost of a star network is often higher than other topologies.

Categories

1. Information > Science > Mathematics > Topology
2. Encyclopedia of Keywords > Information > Communication > Networks
3. Tour Operators > Travel > Bus
4. Astronomy > Universe > Galaxy > Star
5. Mesh

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