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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

Advantages and disadvantages of network topology?

GO TO armsitgs.wetpaint.com and they have a lot of stuff over topologies it could really help you

Is a rotation an isometric?

Rotations, reflections, and translations are all isometries while a dilation isn't because it doesn't preserve distance

Where are some pictures of real life congruent figures?

our eyes , petals of flowers,wheels of car , bathroom tiles,butterfly's wings,our ears ,cigarettes . :)

Is a dilation an isometry?

A dilation is never an isometry.

I know this because I got the answer wrong on a quiz and I my teacher told me the correct choice.

Closure of a connected space is connected?

I know if the set A , the closure of A is connected sure A also connected but the converse Iam not sure

What is the use of algebraic topology?

Algebraic topology uses algebraic structures (like groups) to characterize and distinguish topological manifolds. So it is useful in any case where manifolds may look very different but in fact be identical. This is often other areas of mathematics or in theoretical physics. A subbranch of algebraic topology which is quite intuitive and which has many clear applications is knot theory. Knot theory is applicable in fields as diverse as string theory (physics) or protein synthesis (biology).

What is the fundamental group of a genus g surface?

The fundamental group of a closed orientable surface of genus g is the quotient of the free group on the 2g generators a1,...,ag,b1,...,bg by the normal subgroup generated by the following product of g commutators: a1b1a1-1b1-1...agbgag-1bg-1.

Find the number of connections needed to be used in Mesh topology in network of 8 nodes and also find that how many IO ports are needed for each device Also write formulas used to solve this question?

Find the number of connections needed to be used in Mesh topology in network of 8 nodes and also find that how many IO ports are needed for each device Also write formulas used to solve this question?

Find the number of connections needed to be used in Mesh topology in network of 8 and also find that how many IO ports are needed for each device?

Find the number of connections needed to be used in Mesh topology in network of 8 and also find that how many I/O ports are needed for each device. Also write formulas used to solve this question?

Solution:

Formulas:

To find the no. of links:

= n (n-1)/2

To find the I/O ports:

= n-1

If the network of 8 then

No. of Links = n (n-1)/2

= 8(8-1)/2

=8(7)/2

=56/2

=28 ANS

No. of I/O ports: = n-1

=8-1

=7 ANS

What is isometries rigid transformations?

I think "isometries" and "rigid transformation" are two different names for the same thing. Look for "isometry" on wikipedia.

How many uppercase letters in the alphabet have rotational symmetry and line symmetry?

A B C D E H K M U V W X Y

* * * * *

What? Most of these letters do not have rotational symmetry and so cannot have rotational AND line symmetry. Or did the meaning of AND change last night?

The only upper case letters with both are H, I, O, X

What angles are isometric shapes drawn at?

Isometric drawings and shapes are angled to 30 degrees.

A twenty-two sided polygon?

The name of a 22 sided polygon is Icosidigon.

What do the angles in a square add up to?

i really need to anser this question too; It is 360 :D

What is the function of the terminator in a bus topology?

To prevent signals from being echoed back through the network

7 famous number sequences?

There is the Morris number sequence and the Fibonacci number sequence. The Padovan sequence. The Juggler sequence.

I just know the Fibonacci sequence:

0,1,1,2,3,5,8,13,21,34,55,89,144,233,377

Morris number sequence: 1 11 21 1211 111221 312211...

What are the parts of a right triangle?

a right triangle has three sides like every triangle. A hypotenuse, which is the side opposite of the right angle, and the other two sides are known as legs. <-- that explains the sides pretty well. The angles are the right angle, of course, which is a perfect 90 degrees and two acute angles which is always going to be less than 90..i don't think there can be any other angles besides the acutes and right angle.