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32 relations: Ball (mathematics), Box counting, Cantor set, Correlation dimension, Countable set, Cover (topology), Covering number, Disjoint sets, Entropy, Entropy (information theory), Euclidean space, Fractal, Fractal dimension, France, Georges Bouligand, Germany, Hausdorff dimension, Hausdorff measure, Hermann Minkowski, Inequality (mathematics), Lacunarity, Limit of a function, Limit superior and limit inferior, Logarithm, Mathematician, Metric space, Packing dimension, Rational number, Set (mathematics), Springer Science+Business Media, Triangle inequality, Uncertainty exponent.
Ball (mathematics)
In mathematics, a ball is the space bounded by a sphere.
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Box counting
Box counting is a method of gathering data for analyzing complex patterns by breaking a dataset, object, image, etc.
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Cantor set
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.
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Correlation dimension
In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred to as a type of fractal dimension.
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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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Cover (topology)
In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset.
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Covering number
In mathematics, a covering number is the number of spherical balls of a given size needed to completely cover a given space, with possible overlaps.
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Disjoint sets
In mathematics, two sets are said to be disjoint sets if they have no element in common.
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Entropy
In statistical mechanics, entropy is an extensive property of a thermodynamic system.
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Entropy (information theory)
Information entropy is the average rate at which information is produced by a stochastic source of data.
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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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Fractal
In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.
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Fractal dimension
In mathematics, more specifically in fractal geometry, a fractal dimension is a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly speaking, a fractal pattern) changes with the scale at which it is measured.
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France
France, officially the French Republic (République française), is a sovereign state whose territory consists of metropolitan France in Western Europe, as well as several overseas regions and territories.
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Georges Bouligand
Georges Louis Bouligand (13 October 1889 – 12 April 1979) was a French mathematician who introduced paratingent cones and contingent cones.
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Germany
Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.
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Hausdorff dimension
Hausdorff dimension is a measure of roughness in mathematics introduced in 1918 by mathematician Felix Hausdorff, and it serves as a measure of the local size of a space, taking into account the distance between its points.
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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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Hermann Minkowski
Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.
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Inequality (mathematics)
In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).
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Lacunarity
Lacunarity, from the Latin lacuna meaning "gap" or "lake", is a specialized term in geometry referring to a measure of how patterns, especially fractals, fill space, where patterns having more or larger gaps generally have higher lacunarity.
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Limit of a function
Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1.
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Limit superior and limit inferior
In mathematics, the limit inferior and limit superior of a sequence can be thought of as limiting (i.e., eventual and extreme) bounds on the sequence.
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
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Packing dimension
In mathematics, the packing dimension is one of a number of concepts that can be used to define the dimension of a subset of a metric space.
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Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Triangle inequality
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
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Uncertainty exponent
In mathematics, the uncertainty exponent is a method of measuring the fractal dimension of a basin boundary.
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References
[1] https://en.wikipedia.org/wiki/Minkowski–Bouligand_dimension
