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Area and Isoperimetric inequality

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Area and Isoperimetric inequality

Area vs. Isoperimetric inequality

Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. In mathematics, the isoperimetric inequality is a geometric inequality involving the surface area of a set and its volume.

Similarities between Area and Isoperimetric inequality

Area and Isoperimetric inequality have 12 things in common (in Unionpedia): Circle, Circumference, Equilateral triangle, Geometry, Green's theorem, Lebesgue measure, Perimeter, Plane (geometry), Sphere, Springer Science+Business Media, Surface area, Volume.

Circle

A circle is a simple closed shape.

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Circumference

In geometry, the circumference (from Latin circumferentia, meaning "carrying around") of a circle is the (linear) distance around it.

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Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Green's theorem

In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C. It is named after George Green, though its first proof is due to Bernhard Riemann and is the two-dimensional special case of the more general Kelvin–Stokes theorem.

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Lebesgue measure

In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.

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Perimeter

A perimeter is a path that surrounds a two-dimensional shape.

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Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

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Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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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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Surface area

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

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Volume

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.

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The list above answers the following questions

Area and Isoperimetric inequality Comparison

Area has 182 relations, while Isoperimetric inequality has 79. As they have in common 12, the Jaccard index is 4.60% = 12 / (182 + 79).

References

This article shows the relationship between Area and Isoperimetric inequality. To access each article from which the information was extracted, please visit:

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