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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 a 2 dimensional figure that can be folded into a 3 dimensional object?
The net of a 2 dimensional shape can be folded into a 3 dimensional shape
What are some good science fair project ideas for high school kids?
Do something about erosion.... it woks really well with an earth science fair project... also anything in math will extreamly wow the judges such as the number of __ in a bag of _____ or, the amount of ___ in and ______ area. i hope this helped!
How do you draw an isometric train?
I do not know!!!!:(
If you are drawing an isometric drawing by hand (pencil / paper), go purchase a 30 / 60 / 90 triangle (don't forget to use a straight edge to align the triangle).
If you are using CAD, change your snap to Isometirc and use CTRL + E to rotate between the planes (top, left, right).
Also use crating to help you draw curves!!
Who invented the isometric drawing?
First formalized by Professor William Farish (1759-1837), the concept of an isometric had existed in a rough empirical form for centuries.
What operation that moves or changes a geometric figure in some way to produce a new figure?
Transformation
What is the application of metric spaces in your practical life?
WOW! A LOT OF BIG WORDS! have a pretty wide vocabulary, but this is like college stuff! GOOD LUCK
The practice of drawing district lines to gain political advantage is called?
Gerrymandering or reapportionment
An azimuth is defined as a horizontal angle measured clockwise from a north base line. This north base line could be true north, magnetic north, or grid north. The azimuth is the most common military method to express direction. When using an azimuth, the point from which the azimuth originates is the center of an imaginary circle . This circle is divided into 360 degrees or 6400 mils . NORTH IS 0/360 AZIMUTH EAST IS 90. SOUTH IS 180. WEST IS 270.
An isometry is a transformation in which the original figure and its image are congruent.
Shape remains constant as size increases.
Azimuth is a technical mapping term which is used to describe the direction of angle between north and south on a compass circle through which the circle line passes.
3 What is the value or Pie to the 100th decimal place?
solution for nth decimal place in pi value
----------------------------------------------------------------
int i=1,rem = 22%7,result=22/7;
while(i<=n)
{
rem = rem*10;
result = rem/7;
rem = rem%7;
i++;
}
printf("nth decimal%d",result);
input: 15(means 15th decimal place in pi value)...
What is the purpose of a circumcenter Why do you use it?
Once the circumcenter is found, each segment connecting each point of the triangle to the cirumcenter are equivalent, so you can put something equidistant to 3 places. Like a hospital equidistant to 3 cities.
What is homotopy in mathematics?
This article is about topology. For chemistry, see Homotopic groups.
The two bold paths shown above are homotopic relative to their endpoints. Thin lines mark isocontours of one possible homotopy.
In topology, two continuous functions from one topological space to another are called homotopic (Greek homos = identical and topos = place) if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions. An outstanding use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology. In practice, there are technical difficulties in using homotopies with certain pathological spaces. Consequently most algebraic topologists work with compactly generated spaces, CW complexes, or spectra.
How do you calculate the area of a rectangle land whose lengths and widths are different?
Area= width x length
Alternatively, area of irregular or regular polygons can be calculated using SketchAndCalc (see related links below). A free Area and Perimeter Calculator that calculates the area of any shape you draw, regardless of scale or complexity.
What are the subset of a line?
The line, itself, is a subset (though not a proper subset).
A ray is a subset of a line with one end-point which extends in only one direction.
A line segment is a subset of a line with two end points.
A point is a subset of a line.
Finally, nothing is a subset (the null subset) of a line.
In the branch of mathematics called differential geometry, an affine connection is a geometrical object on a smooth manifold which connects nearby tangent spaces, and so permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space.
What is continuity in mathematics?
This normally refers to continuity as a property of certain functions (mappings). They are called continuous if the output depends in a certain way on the input in that a small alteration in the input only leads to a small alteration in the output. Continuous functions can intuitively be drawn with a pencil without ever stopping and beginning again.
More formally, a map between two topological spaces is continuous if the preimage of every open set in the codomain is an open set in the domain.
