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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
How do you prove space as infinite mathematically?
There is no mathematical proof that space is infinite. All we know is that there is an expanding limit to what we can see.
What is the difference between rigid transformation and non rigid transformation?
rigid transformation is for same modality(CT-CT) nad it can only perform translation, rotation and scaling translation.
whereas
non rigid for multimodality and it can do streching and shriking too. it use demon algorithm
.
How many vertices does a octagonal prism have?
6`9`
* * * * *
Neither 6 nor 9. The correct answer is 16. An octagonal prism, not surprisingly, has 2 octagonal bases. Octagon implies 8 vertices. Another octagon, not touching the first gives another 8 vertices. 8 plus 8 = 16!
What does subtracting mean in math?
It means to take a smaller number out of a larger number and the sum is what you have after.
Euler made some basic contributions which are now considered topology. However, topology was not recognized as a separate field in mathematics until the twentieth century (several hundred years after Euler.) It would probably be best to say that Poincarre pioneered the subject which became topology.
How do you remove a set of dart points?
If your points aren't too short, the easiest way to remove your dart points is to put the dart with the dart point in a pop-rivet gun, squeeze the trigger and your point will stay in the rivet gun and your barrell will fall out minus the point, easy!
What is the Euler characteristic?
The Euler characteristics was originally derived as a topographical constant related to the surfaces of polyhedra.
According to it, the numbers of vertices (V), edges (E) and faces (F) of a polyhedron are related by the following formula:
V - E + F = 2
What is the difference between absolute continuity and differential continuity?
What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples
What are types of freehand drawing?
There is orthogonal drawing with your front, side/s and back view of your object. Isometric and oblique for your overall view of the object. And explode to see how you project are connected together or assembled.
Can a multimeter test for continuity in an invisible fence?
Yes, in the buried wire. You'll need to put one end of the probe lead on one end of the wire and the other end on the wire past the point that you think may have a break in it.
Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.
How is an isometric scale constructed?
To make an isometric scale, use this table: Step 1 Action Along a horizontal line, mark off equal increments with any standard scale (figure 6-15, view A). 2 Using a 45° triangle, lay off lines from each of the increments. 3 Using a 45° and a 30°/60° triangles, form a 75° angle with the horizontal and lay off a line intersecting the diagonal lines. 4 Align a piece of paper, acetate, or cardboard, with the 75° line indicating equal increments. These increments form the isometric scale.
What is Isometric analysis in plumbing?
Isometric analysis is dealing with measurements in plumbing involving various items such as pipe fitting (using fittings and calculating the take offs or calculations for the various ones such as 90's, 45's, Tees, Tee Wyes, etc.) as well as grade or the slope at which gravity sewer is ran. Its basically a fancy term for the geometry, algebra, or trig formulas (overall mathematics used in the plumbing trade. Or at least that is what I have gathered. I am currently studying for the test in MS right now and I have researched this question myself.
Beetle 2.0 1998/2004 engine code AQY firing order 1.3.4.2.
How do you draw a circle in isometric projection?
Here is the link that will help you with Illustrations
http://www.ider.herts.ac.uk/school/courseware/graphics/drawing_circles_in_isometric.html
A blank is an isometry that maps all points of a figure the same distance in the same direction?
reflection
Does an isometric drawing use a vanishing point to create depth?
No. Isometrics are created using equal angles. Isometric drawings were made on "iso paper" but it is really just 45 degree lines on a page.
What shape is created by a cross section of a rectangular pyramid?
It is a rectangle which is similar to (but smaller than) the rectangular base.
What is the difference between Orthographic Drawing and Isometric Drawing?
orthographics means line is perpendicular to the view plane,while oblique means line is not exactly perpendicular to the view plane.
How do you draw an isometric letter a?
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