Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

N-sphere and Sphere

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

Difference between N-sphere and Sphere

N-sphere vs. Sphere

In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension. 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").

Similarities between N-sphere and Sphere

N-sphere and Sphere have 27 things in common (in Unionpedia): Affine sphere, Ball (mathematics), Circle, Dimension, Disk (mathematics), Embedding, Euclidean space, Gamma function, Homeomorphism, Homology sphere, Homotopy groups of spheres, Homotopy sphere, Hypersphere, Integral, Mathematics, Natural number, Riemann sphere, Sphere, Sphere packing, Spherical cap, Spherical coordinate system, Spherical shell, Topology, Torus, Volume element, Volume of an n-ball, 3-sphere.

Affine sphere

In mathematics, and especially differential geometry, an affine sphere is a hypersurface for which the affine normals all intersect in a single point.

Affine sphere and N-sphere · Affine sphere and Sphere · See more »

Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

Ball (mathematics) and N-sphere · Ball (mathematics) and Sphere · See more »

Circle

A circle is a simple closed shape.

Circle and N-sphere · Circle and Sphere · See more »

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

Dimension and N-sphere · Dimension and Sphere · See more »

Disk (mathematics)

In geometry, a disk (also spelled disc).

Disk (mathematics) and N-sphere · Disk (mathematics) and Sphere · See more »

Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.

Embedding and N-sphere · Embedding and Sphere · See more »

Euclidean space

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

Euclidean space and N-sphere · Euclidean space and Sphere · See more »

Gamma function

In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

Gamma function and N-sphere · Gamma function and Sphere · See more »

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.

Homeomorphism and N-sphere · Homeomorphism and Sphere · See more »

Homology sphere

In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1.

Homology sphere and N-sphere · Homology sphere and Sphere · See more »

Homotopy groups of spheres

In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other.

Homotopy groups of spheres and N-sphere · Homotopy groups of spheres and Sphere · See more »

Homotopy sphere

In algebraic topology, a branch of mathematics, a homotopy sphere is an n-manifold that is homotopy equivalent to the n-sphere.

Homotopy sphere and N-sphere · Homotopy sphere and Sphere · See more »

Hypersphere

In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.

Hypersphere and N-sphere · Hypersphere and Sphere · See more »

Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Integral and N-sphere · Integral and Sphere · See more »

Mathematics

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

Mathematics and N-sphere · Mathematics and Sphere · See more »

Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

N-sphere and Natural number · Natural number and Sphere · See more »

Riemann sphere

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane, the complex plane plus a point at infinity.

N-sphere and Riemann sphere · Riemann sphere and Sphere · See more »

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").

N-sphere and Sphere · Sphere and Sphere · See more »

Sphere packing

In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space.

N-sphere and Sphere packing · Sphere and Sphere packing · See more »

Spherical cap

In geometry, a spherical cap, spherical dome, or spherical segment of one base is a portion of a sphere cut off by a plane.

N-sphere and Spherical cap · Sphere and Spherical cap · See more »

Spherical coordinate system

In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuth angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.

N-sphere and Spherical coordinate system · Sphere and Spherical coordinate system · See more »

Spherical shell

In geometry, a spherical shell is a generalization of an annulus to three dimensions.

N-sphere and Spherical shell · Sphere and Spherical shell · See more »

Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

N-sphere and Topology · Sphere and Topology · See more »

Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

N-sphere and Torus · Sphere and Torus · See more »

Volume element

In mathematics, a volume element provides a means for integrating a function with respect to volume in various coordinate systems such as spherical coordinates and cylindrical coordinates.

N-sphere and Volume element · Sphere and Volume element · See more »

Volume of an n-ball

In geometry, a ball is a region in space comprising all points within a fixed distance from a given point; that is, it is the region enclosed by a sphere or hypersphere.

N-sphere and Volume of an n-ball · Sphere and Volume of an n-ball · See more »

3-sphere

In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.

3-sphere and N-sphere · 3-sphere and Sphere · See more »

The list above answers the following questions

N-sphere and Sphere Comparison

N-sphere has 68 relations, while Sphere has 153. As they have in common 27, the Jaccard index is 12.22% = 27 / (68 + 153).

References

This article shows the relationship between N-sphere and Sphere. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »