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Rectifiable set

Index Rectifiable set

In mathematics, a rectifiable set is a set that is smooth in a certain measure-theoretic sense. [1]

14 relations: Almost everywhere, Arc length, Australian National University, Canberra, Complement (set theory), Countable set, Euclidean space, Geometric measure theory, Hausdorff measure, Lipschitz continuity, Manifold, Mathematics, Measure (mathematics), Smith–Volterra–Cantor set.

Almost everywhere

In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities.

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Arc length

Determining the length of an irregular arc segment is also called rectification of a curve.

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Australian National University

The Australian National University (ANU) is a national research university located in Canberra, the capital of Australia.

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Canberra

Canberra is the capital city of Australia.

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Complement (set theory)

In set theory, the complement of a set refers to elements not in.

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Countable set

In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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Geometric measure theory

In mathematics, geometric measure theory (GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory.

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Hausdorff measure

In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in to each set in Rn or, more generally, in any metric space.

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Lipschitz continuity

In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

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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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Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

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Smith–Volterra–Cantor set

In mathematics, the Smith–Volterra–Cantor set (SVC), fat Cantor set, or ε-Cantor set is an example of a set of points on the real line ℝ that is nowhere dense (in particular it contains no intervals), yet has positive measure.

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Redirects here:

Rectifiable Set, Unrectifiable, Unrectifiable set.

References

[1] https://en.wikipedia.org/wiki/Rectifiable_set

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