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Meander (mathematics)

Index Meander (mathematics)

In mathematics, a meander or closed meander is a self-avoiding closed curve which intersects a line a number of times. [1]

23 relations: Curve, Cyclic permutation, Homeomorphism, Injective function, Jordan curve theorem, Line (geometry), Mathematics, Parity (mathematics), Permutation, Two-dimensional space, Upper and lower bounds, 1, 10, 14 (number), 174 (number), 2, 24 (number), 3, 4, 42 (number), 66 (number), 8, 81 (number).

Curve

In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.

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Cyclic permutation

In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.

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Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.

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Injective function

In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.

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Jordan curve theorem

In topology, a Jordan curve, sometimes called a plane simple closed curve, is a non-self-intersecting continuous loop in the plane.

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Line (geometry)

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Parity (mathematics)

In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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Two-dimensional space

Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).

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Upper and lower bounds

In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set (K, ≤) is an element of K which is greater than or equal to every element of S. The term lower bound is defined dually as an element of K which is less than or equal to every element of S. A set with an upper bound is said to be bounded from above by that bound, a set with a lower bound is said to be bounded from below by that bound.

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1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

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10

10 (ten) is an even natural number following 9 and preceding 11.

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14 (number)

14 (fourteen) is a natural number following 13 and succeeded by 15.

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174 (number)

174 (one hundred seventy-four) is the natural number following 173 and preceding 175.

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2

2 (two) is a number, numeral, and glyph.

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24 (number)

24 (twenty-four) is the natural number following 23 and preceding 25.

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3

3 (three) is a number, numeral, and glyph.

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4

4 (four) is a number, numeral, and glyph.

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42 (number)

42 (forty-two) is the natural number that succeeds 41 and precedes 43.

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66 (number)

66 (sixty-six) is the natural number following 65 and preceding 67.

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8

8 (eight) is the natural number following 7 and preceding 9.

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81 (number)

81 (eighty-one) is the natural number following 80 and preceding 82.

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Redirects here:

Meandric number, Open meander, Open meandric number, Semi-meander, Semi-meandric number.

References

[1] https://en.wikipedia.org/wiki/Meander_(mathematics)

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