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Circle and Manifold

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

Difference between Circle and Manifold

Circle vs. Manifold

A circle is a simple closed shape. In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Similarities between Circle and Manifold

Circle and Manifold have 19 things in common (in Unionpedia): Angle, Area, Cartesian coordinate system, Connected space, Curve, Disk (mathematics), Euclid, Geometry, Implicit function, Line (geometry), Orthogonal group, Plane (geometry), Polar coordinate system, Sphere, Symmetry group, Tangent, Unit circle, Unit sphere, Vertex (geometry).

Angle

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angle and Circle · Angle and Manifold · See more »

Area

Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.

Area and Circle · Area and Manifold · See more »

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

Cartesian coordinate system and Circle · Cartesian coordinate system and Manifold · See more »

Connected space

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.

Circle and Connected space · Connected space and Manifold · See more »

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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Disk (mathematics)

In geometry, a disk (also spelled disc).

Circle and Disk (mathematics) · Disk (mathematics) and Manifold · See more »

Euclid

Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".

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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.

Circle and Geometry · Geometry and Manifold · See more »

Implicit function

In mathematics, an implicit equation is a relation of the form R(x_1,\ldots, x_n).

Circle and Implicit function · Implicit function and Manifold · See more »

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.

Circle and Line (geometry) · Line (geometry) and Manifold · See more »

Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

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Plane (geometry)

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

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Polar coordinate system

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

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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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Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

Circle and Symmetry group · Manifold and Symmetry group · See more »

Tangent

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.

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Unit circle

In mathematics, a unit circle is a circle with a radius of one.

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Unit sphere

In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.

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Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

Circle and Vertex (geometry) · Manifold and Vertex (geometry) · See more »

The list above answers the following questions

Circle and Manifold Comparison

Circle has 166 relations, while Manifold has 286. As they have in common 19, the Jaccard index is 4.20% = 19 / (166 + 286).

References

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

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