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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

Definition of irregular topology?

A topology is the physical configuration of a network. Each network has their own particular type of topology, with the most common being LAN or WAN. Irregular topology is a common topology of LAN, where the information is sent through random connections between computers.

What is true concerning physical and logical topologies?

Logical topologies consist of virtual connections between nodes.

What is isometric?

what resistance isometric movement is common painful if strain of the wrist muscle present? what resistance isometric movement is common painful if strain of the wrist muscle present?

Advantages of Mesh Topology?

1.easy to expand

2.mesh network in which multiple redundant links exist between multiple nodes

In your own words describe the controversy surrounding flood plains and housing?

It appears that you are looking for someone else's words. However, the short version is, why is anyone stupid enough to build a house back in an area where their last house just got washed away by a flood?

What is the difference between 'portion' and 'proportion'?

Portion is simply a part. Proportion is the fractional ratio of the part to the whole. A good resource for finding definitions online is www.dictionary.com ==Alternative answer== The reply above is the correct definition. In other way of explaining, portion is "a part of" something and proportion is the relation betwen the dimensions of something.

What logical topology is used in a classroom?

Most classrooms rely on a star topology to connect their systems together.

How is an orthographic drawing similar to or different from an isometric drawing?

orthographics means line is perpendicular to the view plane,while oblique means line is not exactly perpendicular to the view plane.

What does the term abelian mean?

The term abelian is most commonly encountered in group theory, where it refers to a specific type of group known as an abelian group. An abelian group, simply put, is a commutative group, meaning that when the group operation is applied to two elements of the group, the order of the elements doesn't matter.

For example:

Let G be a group with multiplication * or addition +. If, for any two elements a, b Є G, a*b = b*a or a + b = b + a, then we call the group abelian.

There are other uses of the term abelian in other fields of math, and most of the time, the idea of commutativity is involved.

The term is named after the mathematician, Niels Abel.

How many does a tetrahedron have?

A tetrahedron has 4 vertices and 4 sides. Each side is an equilateral triangle.

* * * * *

Each face is an equilateral triangle only if it is a regular tetrahedron; there is no reason to assume it is.

What is an isometric thumbnail sketch?

An isometric thumbnail sketch is a drawing based on the isometric axis. It is commonly used in engineering. It is also known as a two-point sketch.

Are ratio and proportion related to each other?

A proportion is the same as a ratio, but it must be focused on one unit per something. Ratios can be any comparison

Why use isometric paper?

Isometric drawings are drawn to the same scale along all three axes (x,y,z) so are useful for giving a sense of relative dimensions, and three dimensional scale. Measurements can also be taken from the drawings for items that lie along or parallel to an axis.

What is the formulae for area of cylindrical tank?

First, figure out the radius and height of the tank. The formula for its radius will be 2 times pie and the radius squared plus the height times 2 pie radius.

How lan works?

A wireless LAN or WLAN is a wireless local area network, which is the linking of two or more computers without using wires. WLAN utilizes spread-spectrum or OFDM modulation technology based on radio waves to enable communication between devices in a limited area, also known as the basic service set. This gives users the mobility to move around within a broad coverage area and still be connected to the network. For the home user, wireless has become popular due to ease of installation, and location freedom with the gaining popularity of laptops. Public businesses such as coffee shops or malls have begun to offer wireless access to their customers; some are even provided as a free service. Large wireless network projects are being put up in many major cities. Google is even providing a free service to Mountain View, California and has entered a bid to do the same for San Francisco. New York City has also begun a pilot program to cover all five boroughs of the city with wireless Internet access. A wireless LAN or WLAN is a wireless local area network, which is the linking of two or more computers without using wires. WLAN utilizes spread-spectrum or OFDM modulation technology based on radio waves to enable communication between devices in a limited area, also known as the basic service set. This gives users the mobility to move around within a broad coverage area and still be connected to the network. For the home user, wireless has become popular due to ease of installation, and location freedom with the gaining popularity of laptops. Public businesses such as coffee shops or malls have begun to offer wireless access to their customers; some are even provided as a free service. Large wireless network projects are being put up in many major cities. Google is even providing a free service to Mountain View, California and has entered a bid to do the same for San Francisco. New York City has also begun a pilot program to cover all five boroughs of the city with wireless Internet access.

What is the three most common network strategies?

The three most common network strategies are:

Centralized Network: In this strategy, control and decision-making are concentrated at a central point. It offers streamlined management and efficient resource allocation but can be vulnerable if the central node fails.

Decentralized Network: Decision-making is distributed among nodes, promoting autonomy and redundancy. It enhances resilience but may lead to coordination challenges.

Distributed Network: Nodes interact directly, sharing resources and information. It fosters collaboration and adaptability but can be complex to manage and secure.

How do you draw in isometric?

Isometric drawings, 3-D representations, are drawn on an angle to the parallel to show how the finished product should look. All dimensions should be the same as if drawn flat (2 dimensional).

What is isometric sketching?

Isometric view is a two dimensional representation of a three dimensional object or space. It is often used in technical drawings, such as architectural, engineering and patent drawings. It is similar to perspective view, yet isometric drawings do not converge at a vanishing point. Since perspective is an optical illusion that skews the lines and dimensions of an object, it cannot be used to convey technical data (i.e., the exact size and measurements of an object, surface or space). In isometric drawings, however, the lines remain parallel and proportionate to one another. It conveys an illusion of three dimensional space without modifying the dimensions and scale of an object. Therefore, it can be used as a scaled technical drawing.

Visually, an isometric view consists of two elevations (A and B) that are adjoined at one side (the y axis) and a plan view (C) that is joined at the top or bottom of elevations A and B. All vertical lines are drawn at an angle that is perpendicular to an imaginary horizon line (the x axis). All horizontal lines, however, are rotated along the y axis at a constant angle (usually 30 or 45 degrees). If the horizontal lines in elevation A are rotated to 30 degrees (taken from the x axis), then the inner angle will be 60 degrees (taken from the y axis). On the opposite side of the y axis, elevation B is mirrored at the same angle (30 degree outer and 60 degree inner). The sum of the inner angles (60 + 60) then forms the angle of the adjoining plan C (120 degrees). For a 45 degree isometric, the inner angles of elevations A and B are each 45 degrees and the adjoining angle of plan C is 90 degrees.

What network topology is each node connected to the next by a direct line so that a continuous line is formed?

Ring technology:

In a ring network, every device has exactly two neighboring devices for communication purpose. It is called a ring topology as its formation is like a ring. In this topology, every computer is connected to another computer. Here, the last node is combined with a first one.

This topology uses token to pass the information from one computer to another. In this topology, all the messages travel through a ring in the same direction.