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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 the diameter of a subset?
The diameter of the subset C of the metric space B, D is the least upper bound of {D(x, y) | x, y Є C} and is often written as d(C).
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What axioms must be satisfied for a collection of subsets to be called a topology on a set?
There are three axioms that must be satisfied for a collection of subsets, t, of set B to be called a topology on B.
1) Both B and the empty set, Ø, must be members of t.
2) The intersection of any two members of t must also be a member of t.
3) The union of any family of members of t must also be a member of t.
If these axioms are met, the members of t are known as t-open or simply open, subsets of B.
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What does the interior of a subspace within a topological space mean?
Let B, t be a topological space and let C ⊂ B. The interior of C, written Co is the union of all of the open sets within C. This can be expressed using set theory notation as
Co = ∪{P Є t | P ⊂ C}.
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What are some examples of Injection Surjection and Bijection?
Too long to explain so just go here http://en.wikipedia.org/wiki/Bijection,_injection_and_surjection
Which WAN topology is directly connected to no more than two other sites in a serial fashion?
Mesh topology
Devices in the topology diagram require an Ethernet cable between them?
PC1 to Switch, Switch to R1, C2 to R2
Difference between isometric view and isometric projection?
I think both are same. There is difference between isometric view and isometric drawing that is of size.
Spanning Tree Election Criteria
Spanning Tree builds paths out from a central point along the fastest available links. It selects path according to the following criteria:
1. Lowest root bridge ID (BID)
2. Lowest path cost to the root
3. Lowest sender bridge ID
4. Lowest sender port ID (PID)
Therefore, the answer to your question is Lower Bridge ID
Divide a square in half 4 different ways?
To divide a square in half four different ways, you can draw two diagonals intersecting at the center, creating four equal triangles. Another way is to draw a horizontal line passing through the center of the square, dividing it into two equal rectangles. You can also draw a vertical line through the center to create two more equal rectangles. Lastly, you can divide the square into four smaller squares by drawing two perpendicular lines through the center.
Different types of topologies?
Different types of Networking topologies are
1] Bus topolgy
2] Ring topology
3] Mesh topology
4] Hibrid topology
the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures.
Isometric projection is another way of saying 3D. With isometric projection things are drawn on a two dimensional surface to show how they would look in 3D.
Examples of self-reliance would be growing your own food or using the sun for energy. Relying on yourself and going off the grid. Some self reliance experts do not use cash for anything but barter instead.
orthographic drawing is a drawing that communicates the shape and size of an object through a series of related two-dimensional views.
A hybrid is a combination of two or more basic network topologies, such as a star-bus, star-ring, or tiered topology. In a hybrid topology, central and distributed topologies are combined to meet the needs of an organization
What is the difference between differential continuity and absolute continuity?
What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples
