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Mathematical space with two coordinates
A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described
Two-dimensional_space
Property of a mathematical space
sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because
Dimension
Geometric space with five dimensions
five-dimensional spaces include super-dimensional or hyper-dimensional spaces, which generally refer to any space with more than four dimensions. These
Five-dimensional_space
Geometric model of the physical space
by a n-dimensional Euclidean space and a Cartesian coordinate system. When n = 3, this space is called the three-dimensional Euclidean space (or simply
Three-dimensional_space
Geometric space with four dimensions
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible
Four-dimensional_space
Space with one dimension
are one-dimensional spaces but are usually referred to by more specific terms. Any field K {\displaystyle K} is a one-dimensional vector space over itself
One-dimensional_space
Geometric space with six dimensions
Six-dimensional space is any space that has six dimensions, six degrees of freedom, and that needs six pieces of data, or coordinates, to specify a location
Six-dimensional_space
Geometric space with seven dimensions
also refer to a seven-dimensional manifold such as a 7-sphere, or a variety of other geometric constructions. Seven-dimensional spaces have a number of special
Seven-dimensional_space
Fundamental space of geometry
Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space
Euclidean_space
Geometric model of the planar projection of the physical universe
plane is a flat two-dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space R 3 {\displaystyle
Euclidean_plane
2D surface which extends indefinitely
dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is
Plane_(mathematics)
Topological space of dimension zero
In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several
Zero-dimensional_space
Classification of crystalline materials by their three-dimensional structural geometry
Bravais lattices. This was corrected to 14 by A. Bravais in 1848. In two-dimensional space, there are four crystal systems (oblique, rectangular, square, hexagonal)
Crystal_system
Number of vectors in any basis of the vector space
finite-dimensional if the dimension of V {\displaystyle V} is finite, and infinite-dimensional if its dimension is infinite. The dimension of the vector space V {\displaystyle
Dimension_(vector_space)
Form of an object
A two-dimensional shape or two-dimensional figure (also: 2D shape or 2D figure) may lie on a more general curved surface (a two-dimensional space). Some
Shape
Four-dimensional analogue of the cube
a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the
Tesseract
Assignment of vector fields to manifolds
space of a manifold is a generalization of tangent lines to curves in two-dimensional space and tangent planes to surfaces in three-dimensional space
Tangent_space
A two-dimensional gas is a collection of objects constrained to move in a planar or other two-dimensional space in a gaseous state. The objects can be:
Two-dimensional_gas
Algebraic structure in linear algebra
dimension is an infinite cardinal. Finite-dimensional vector spaces occur naturally in geometry and related areas. Infinite-dimensional vector spaces
Vector_space
A two-dimensional liquid (2D liquid) is a collection of objects constrained to move in a planar space or other two-dimensional space in a liquid state
Two-dimensional_liquid
Element of a unital algebra over the field of real numbers
4-dimensional quaternions, 8-dimensional octonions, and 16-dimensional sedenions. An algebraic symmetry is lost with each increase in dimensionality: quaternion
Hypercomplex_number
Maximally symmetric Lorentzian manifold with a negative cosmological constant
real world four-dimensional space geometrically by projecting that space into a five-dimensional superspace with the fifth dimension corresponding to
Anti-de_Sitter_space
Geometric space with eight dimensions
in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional space. Often such spaces are studied as vector spaces, without
Eight-dimensional_space
by the dimensional cross is the Octahedron. Laban devised movement scales that follow these three dimensions, called the Dimensional Scales. Two spatial
Space_Harmony
Flat surface
plane is a flat two-dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space R 3 {\displaystyle
Euclidean planes in three-dimensional space
Euclidean_planes_in_three-dimensional_space
Geometrical concept
cross sections. The boundary of a cross section in three-dimensional space that is parallel to two of the axes, that is, parallel to the plane determined
Cross_section_(geometry)
Conformal field theory on a 2D spacetime
A two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations
Two-dimensional conformal field theory
Two-dimensional_conformal_field_theory
Two-dimensional manifold
In topology, a surface is a two-dimensional manifold. Some surfaces arise as the boundaries of three-dimensional solid figures; for example, the sphere
Surface_(topology)
Mathematical set with some added structure
three-dimensional Euclidean space, treated as a two-dimensional Euclidean space, and the set of all pairs of real numbers, also treated as a two-dimensional
Space_(mathematics)
Integral transform in mathematics
function f defined on the plane to a function Rf defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal
Radon_transform
Loss of one degree of freedom in a three-dimensional, three-gimbal mechanism
multi-dimensional mechanism at certain alignments of the axes. In a three-dimensional three-gimbal mechanism, gimbal lock occurs when the axes of two of
Gimbal_lock
Projection of data onto lower-dimensional manifolds
is a sample on a two-dimensional manifold in 1024-dimensional space (a Hamming space). The intrinsic dimensionality is two, because two variables (rotation
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
"Anime, Comics, and Games," an Asian subculture term
and video games. The most commonly used endonym translates to "two-dimensional space" (Japanese: 2次元, romanized: nijigen); Chinese: 二次元, Pinyin: Èrcìyuán)
ACG_(subculture)
Measure of covariance of components of a random vector
As an example, the variation in a collection of random points in two-dimensional space cannot be characterized fully by a single number, nor would the
Covariance_matrix
Completion of the usual space with "points at infinity"
projective space of dimension n ≥ 3 is isomorphic with a PG(n, K), the n-dimensional projective space over some division ring K. A finite projective space is
Projective_space
Affine subspace of a Euclidean space
parent space. In an n-dimensional space, there are k-flats of every dimension k from 0 to n; flats one dimension lower than the parent space, (n − 1)-flats
Flat_(geometry)
Set of related ordination techniques used in information visualization
dimensions, N, an MDS algorithm places each object into N-dimensional space (a lower-dimensional representation) such that the between-object distances are
Multidimensional_scaling
Line-clipping algorithm in computer graphics
is an algorithm used for line clipping. The algorithm divides a two-dimensional space into 9 regions and then efficiently determines the lines and portions
Cohen–Sutherland_algorithm
Study of angle-preserving transformations of a geometric space
transformations on a space. In a real two dimensional space, conformal geometry is precisely the geometry of Riemann surfaces. In space higher than two dimensions
Conformal_geometry
Invariance under a mathematical reflection
reflection has reflectional symmetry. In two-dimensional space, there is a line/axis of symmetry, in three-dimensional space, there is a plane of symmetry. An
Reflection_symmetry
Tree data structure that partitions a 2D area
children. Quadtrees are the two-dimensional analog of octrees and are most often used to partition a two-dimensional space by recursively subdividing it
Quadtree
Spatial analysis techniques for minimizing cost
determining one or more optimal routes of travel through unconstrained (two-dimensional) space. The optimal solution is that which minimizes the total cost of
Cost_distance_analysis
Topologically invariant definition of the dimension of a space
covering dimension of the disk is thus two. More generally, the n-dimensional Euclidean space E n {\displaystyle \mathbb {E} ^{n}} has covering dimension n.
Lebesgue_covering_dimension
Geometric pattern used in art
of an equal radius in two-dimensional space. Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica
Overlapping_circles_grid
Process of reducing the number of random variables under consideration
Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the
Dimensionality_reduction
Natural number
octagonal silver eightfold symmetry, that is the two-dimensional orthographic projection of the four-dimensional 8-8 duoprism. An octahedron is a regular polyhedron
8
Number of independent parameters needed to define the state of a mechanical system
traveling on a plane (a flat, two-dimensional space). This body has three independent degrees of freedom consisting of two components of translation (which
Degrees of freedom (mechanics)
Degrees_of_freedom_(mechanics)
Mathematical description of spacetime used in relativity
from four-dimensional Euclidean space insofar as it treats time differently from the three spatial dimensions. In 3-dimensional Euclidean space, the isometry
Minkowski_spacetime
Geometry and crystallography point array
generated by a set of discrete translation operations described in three dimensional space by R = n 1 a 1 + n 2 a 2 + n 3 a 3 , {\displaystyle \mathbf {R} =n_{1}\mathbf
Bravais_lattice
Vector graphics using a relative cursor on a Cartesian plane
of turtle allows programmers to control one or more turtles in a two-dimensional space. Since the standard Python syntax, control flow, and data structures
Turtle_graphics
Ancient paradox in geometry
work Mechanica. It states as follows: A wheel is depicted in two-dimensional space as two circles. Its larger, outer circle is tangential to a horizontal
Aristotle's_wheel_paradox
Numerical optimization algorithm
include a line segment in one-dimensional space, a triangle in two-dimensional space, a tetrahedron in three-dimensional space, and so forth. The method approximates
Nelder–Mead_method
Variants of chess with multiple boards at different levels
Three-dimensional chess (or 3D chess) refers to a family of chess variants that replaces the two-dimensional board with a three-dimensional array of cells
Three-dimensional_chess
Type of vector space in math
Euclidean plane and three-dimensional space to spaces of any finite or infinite dimension. A Hilbert space is an abstract vector space, and it has the additional
Hilbert_space
Topics referred to by the same term
theoretical feature of space-time that facilitates faster-than-light communication and transit SubSpace (video game), a two-dimensional space shooter computer
Subspace
Field of mathematics dealing with three-dimensional Euclidean spaces
the geometry of three-dimensional Euclidean space (3D space). A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for
Solid_geometry
Topological space that locally resembles Euclidean space
is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional manifold, or n {\displaystyle
Manifold
Visual analogy for political or ideological positions
as well, especially to popular two-dimensional models of it. Most long-standing spectra include the left–right dimension as a measure of social, political
Political_spectrum
Difference in shape from a mirror image
propeller, etc.) and Möbius strip are chiral two-dimensional objects in three-dimensional ambient space. The J, L, S and Z-shaped tetrominoes of the popular
Chirality
Condensed matter phenomenon; vortex-like magnetic quasiparticle
taken over a two-dimensional space. (A generalization to a three-dimensional space is possible). Passing to spherical coordinates for the space ( r = ( r
Magnetic_skyrmion
Group of transformations under which the object is invariant
dihedral group Dih(R). Up to conjugacy the discrete point groups in two-dimensional space are the following classes: cyclic groups C1, C2, C3, C4, ... where
Symmetry_group
3-dimensional object
3-space. However, it should be distinguished from a torus, a surface which has the same visual appearance: the torus is the two-dimensional space on
Solid_torus
2008 video game
the Box2D physics engine, which allows two-dimensional objects to interact realistically in a two-dimensional space. Players create simple geometric shapes
IncrediBots
Difficulties arising when analyzing data with many aspects ("dimensions")
high-dimensional spaces that do not occur in low-dimensional settings such as the three-dimensional physical space of everyday experience. The expression was
Curse_of_dimensionality
Matrix representing a Euclidean rotation
eigenvectors in the even-dimensional subspace orthogonal to v, so the total dimension of fixed eigenvectors is odd. For example, in 2-space n = 2, a rotation
Rotation_matrix
Mathematical model combining space and time
space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum
Spacetime
Program for simulating chemical structures
simulated two-dimensional space or three-dimensional space, via 2D computer graphics or 3D computer graphics, respectively. Two-dimensional output is
Molecule_editor
Simulation of the appearance of being three-dimensional
restricted to a two-dimensional (2D) plane with little to no access to a third dimension in a space that otherwise appears to be three-dimensional and is often
2.5D
1884 novella by Edwin Abbott Abbott
Written pseudonymously by "A Square", the book used the fictional two-dimensional world of Flatland to satirise the class and gender hierarchies of Victorian
Flatland
Invariant measure of fractal dimension
covered) and continuously, so that a one-dimensional object completely fills up a higher-dimensional object. Every space-filling curve hits some points multiple
Hausdorff_dimension
Mathematical function, in linear algebra
normed linear space is continuous if and only if it is bounded, for example, when the domain is finite-dimensional. An infinite-dimensional domain may have
Linear_map
Science fiction anime series
humans and their Zentradi allies begin rebuilding Earth. Two years after the end of the first Space War, the transition into the Human ways becomes difficult
Super Dimension Fortress Macross
Super_Dimension_Fortress_Macross
Theorem that smooth bijections preserve dimension
one-dimensional spaces to two-dimensional spaces: Space-filling curves are surjective continuous functions from one-dimensional spaces to two-dimensional
Netto's_theorem
Basic unit of quantum information
called the computational basis, are said to span the two-dimensional linear vector (Hilbert) space of the qubit. Qubit basis states can also be combined
Qubit
bulla, there is a two-dimensional space, resembling a crescent shape. This space continues laterally as a three-dimensional slit-like space – the ethmoidal
Uncinate process of ethmoid bone
Uncinate_process_of_ethmoid_bone
Method of data analysis
high-dimensional data is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions. Such high-dimensional spaces of data
Clustering high-dimensional data
Clustering_high-dimensional_data
Curve whose range contains the unit square
In mathematical analysis, a space-filling curve is a curve whose range reaches every point in a higher dimensional region, typically the unit square (or
Space-filling_curve
Euclidean space without distance and angles
in the space without any size or shape: zero-dimensional. Through any pair of points an infinite straight line can be drawn, a one-dimensional set of
Affine_space
Subspace of n-space whose dimension is (n-1)
generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension. Like a plane in space, a hyperplane is
Hyperplane
Constant speed wavetrain
the one-dimensional equivalent of spiral waves and target patterns in two-dimensional space, and of scroll waves in three-dimensional space. While periodic
Periodic_travelling_wave
alongside the group's number of elements, known as the order. In two-dimensional space, these transformations include rotating around the center of a polygon
List_of_Johnson_solids
Basic shapes represented in vector graphics
representing the boundary of a two-dimensional region. The software is expected to use this boundary to partition 2-dimensional space into an interior and exterior
Geometric_primitive
Generalized sphere of dimension n (mathematics)
embedding of the 1-dimensional circle is in 2-dimensional space, the 2-dimensional sphere is usually depicted embedded in 3-dimensional space, and a general
N-sphere
Branch of mathematics
lines but higher dimensional figures. For instance, equations with three variables correspond to planes in three-dimensional space, and the points where
Algebra
Description of how spaces intersect in mathematics
linearizations of the intersecting spaces at the points of intersection. Two submanifolds of a given finite-dimensional smooth manifold are said to intersect
Transversality
Space formed by the ''n''-tuples of real numbers
Euclidean space of dimension n, En (Euclidean line, E; Euclidean plane, E2; Euclidean three-dimensional space, E3) form a real coordinate space of dimension n
Real_coordinate_space
Fundamental object of geometry
indivisible elements comprising the space, of which one-dimensional curves, two-dimensional surfaces, and higher-dimensional objects consist. In classical Euclidean
Point_(geometry)
Problem in geometry
corresponding sequences of numbers for subdivision of two-dimensional space by lines and three-dimensional space by planes are the lazy caterer's sequence and
Moser's_circle_problem
Type of data structure
is two-dimensional, but such matrices form a 20-dimensional space. Similarly, a three-dimensional vector can be represented by a one-dimensional array
Array_(data_structure)
Pivoted support system
orthogonally mounted gyros to sense rotation about all axes in three-dimensional space. The gyro outputs are kept to a null through drive motors on each
Gimbal
Mathematical idealization of the trace left by a moving point
mostly plane curves (that is, in everyday words, curved lines in two-dimensional space), there are obvious examples such as the helix which exist naturally
Curve
Theory of subatomic structure
physics are replaced by one-dimensional objects called strings. String theory describes how these strings move through space and interact with each other
String_theory
Computer graphics images defined by points, lines and curves
vectors directly to paper by moving a pen as directed through the two-dimensional space of the paper. However, as with monitors, these have largely been
Vector_graphics
projection of a geodesic of the curved 4-dimensional spacetime geometry around the star onto 3-dimensional space. A curve is a geodesic if the tangent vector
Introduction to the mathematics of general relativity
Introduction_to_the_mathematics_of_general_relativity
Real-valued number of spatial dimensions
sets); 1 for sets describing lines (1-dimensional sets having length only); 2 for sets describing surfaces (2-dimensional sets having length and width); and
Fractal_dimension
Hypothetical topological feature of spacetime
through space that are only possible by accessing a higher spatial dimension. Just as a two-dimensional space would require a third spatial dimension to bend
Wormhole
Theorem that any three objects in space can be simultaneously bisected by a plane
sandwich theorem states that given n measurable "objects" in n-dimensional Euclidean space, it is possible to divide each one of them in half (with respect
Ham_sandwich_theorem
Non-orientable mathematical surface
being contained in four dimensions. By adding a fourth dimension to the three-dimensional space, the self-intersection can be eliminated. Gently push a
Klein_bottle
Framework of distances and directions
Space is a three-dimensional continuum containing positions and directions. In classical physics, physical space is often conceived in three linear dimensions
Space
Manifold or algebraic variety of dimension n in a space of dimension n+1
variety of dimension n − 1, which is embedded in an ambient space of dimension n, generally a Euclidean space, an affine space or a projective space. Hypersurfaces
Hypersurface
TWO DIMENSIONAL-SPACE
TWO DIMENSIONAL-SPACE
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
The Three Dimensions
Boy/Male
Spanish
God. Abbreviation of names like Mateo and Teodor.
Male
Welsh
Welsh form of English Tom, TWM means "twin."
Surname or Lastname
English
English : perhaps, as Reaney proposes, a variant of Tough.
Boy/Male
Hindu, Indian
Shining in Three Dimensions
Boy/Male
Tamil
Triyog | தà¯à®°à¯€à®¯à¯‹à®•
Controlling all three dimension
Triyog | தà¯à®°à¯€à®¯à¯‹à®•
Girl/Female
Hindu, Indian
Three Dimension
Boy/Male
Hindu, Indian
Dimensions
Boy/Male
Welsh
gift from God'.
Girl/Female
Gujarati, Indian, Kannada
Dimension; Purity
Boy/Male
Hindu, Indian
Controlling All Three Dimension
Boy/Male
Tamil
Dimensions
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Three Dimentional
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
The Three Dimensions
Girl/Female
Indian, Telugu
Uni-dimensional
Girl/Female
Tamil
Trikaya | தà¯à®°à®¿à®•à®¾à®¯à®¾
Three dimensional
Trikaya | தà¯à®°à®¿à®•à®¾à®¯à®¾
Girl/Female
Tamil
Triguni | தà¯à®°à¯€à®•à¯‚நீ
The three dimensions
Triguni | தà¯à®°à¯€à®•à¯‚நீ
Boy/Male
Tamil
Trigun | தà¯à®°à®¿à®•à¯à®£
The three dimensions
Trigun | தà¯à®°à®¿à®•à¯à®£
Girl/Female
Hindu
Three dimensional
Male
Polish
Polish form of Latin Ivo, IWO means "yew tree."
TWO DIMENSIONAL-SPACE
TWO DIMENSIONAL-SPACE
Boy/Male
Muslim
Gatherer, One who assembles
Girl/Female
Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu, Traditional
A Little Light; Beautiful; Lamp; Light; A Raagini Used in Music; Wife of God; Bright; Dedicated
Boy/Male
British, English
Sanctuary; Safe Harbor
Female
Scandinavian
Scandinavian form of Old Norse Ingrið, INGRID means "Ing-beautiful."
Girl/Female
Hindu
Victory, Good character
Surname or Lastname
English
English : variant of Wick.
Surname or Lastname
English (Cumbria)
English (Cumbria) : variant of Musgrove.
Girl/Female
Tamil
Dust colored, White
Girl/Female
Tamil
Grain
Boy/Male
French
TWO DIMENSIONAL-SPACE
TWO DIMENSIONAL-SPACE
TWO DIMENSIONAL-SPACE
TWO DIMENSIONAL-SPACE
TWO DIMENSIONAL-SPACE
a.
Having dimensions.
a.
Divided from the border to the base into two distinct parts; bipartite.
a.
Without dimensions; marking dimensions or the limits.
n.
A literal factor, as numbered in characterizing a term. The term dimensions forms with the cardinal numbers a phrase equivalent to degree with the ordinal; thus, a2b2c is a term of five dimensions, or of the fifth degree.
n.
A symbol representing two units, as 2, II., or ii.
n.
An imagined space having more than three dimensions.
a.
Employing two hands; as, the two-hand alphabet. See Dactylology.
n.
Measure in a single line, as length, breadth, height, thickness, or circumference; extension; measurement; -- usually, in the plural, measure in length and breadth, or in length, breadth, and thickness; extent; size; as, the dimensions of a room, or of a ship; the dimensions of a farm, of a kingdom.
n.
The sum of one and one; the number next greater than one, and next less than three; two units or objects.
n.
The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension.
a.
Having two lips.
n.
Measure; dimension; size.
n.
Extent; reach; scope; importance; as, a project of large dimensions.
n.
The manifoldness with which the fundamental units of time, length, and mass are involved in determining the units of other physical quantities.
a.
Pertaining to dimension.
n.
One and one; twice one.
a.
Measuring two feet; two feet long, thick, or wide; as, a two-foot rule.
n.
Measure; dimensions; estimate.
a.
Having but one dimension. See Dimension.
n.
Dimension.