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Mathematical objects can be very complex; for example, theorems, proofs, and even theories are considered as mathematical objects in proof theory. In Philosophy of mathematics, the concept of "mathematical objects" touches on topics of existence, identity, and the nature of reality. [2]
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
Pages in category "Mathematical objects" The following 7 pages are in this category, out of 7 total. This list may not reflect recent changes. ...
For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak. Vertex figure: not itself an element of a polytope, but a diagram showing how the elements meet.
For example, x²-6 is a polynomial with integer coefficients, since 1 and -6 are integers. ... So, it’s a combination of two very well-understood mathematical objects. It has other neat closed ...
Among mathematical objects are numbers, functions, sets, a great variety of things called "spaces" of one kind or another, algebraic structures such as rings, groups, or fields, and many other things. List of mathematical examples; List of algebraic surfaces; List of curves; List of complex reflection groups; List of complexity classes
For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, ... Star of David (example) Heptagram – star polygon with 7 sides;
A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
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