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Weblio 辞書 > 英和辞典・和英辞典 > EUCLIDEANの意味・解説 > EUCLIDEANに関連した共起表現

「EUCLIDEAN」の共起表現一覧(1語右で並び替え)

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metry forming a common framework for affine, Euclidean, absolute, and hyperbolic geometry (but not
; This is an HP-32Sii version of the Euclidean algorithm
to be between 82.5% and 163% faster than the Euclidean algorithm, depending on CPU and compiler.
n, which can be performed using the extended Euclidean algorithm.
many real quadratic number fields without a Euclidean algorithm.
factors; this can be done quickly using the Euclidean algorithm.
are that can do geometrical constructions in Euclidean and non-Euclidean geometry.
If a relation is Euclidean and reflexive, it is also symmetric and tran
Important examples of convex bodies are the Euclidean ball, the hypercube and the cross-polytope.
freedom that are sufficient to describe any Euclidean congruence.
points in Euclidean d-space, there is a partition into r subsets
geodesic distance from p corresponds to the Euclidean distance from the origin.
Euclidean distance
The Euclidean distance between two points of the plane wit
, suppose this data is to be clustered using Euclidean distance as the distance metric.
rtices are connected by an edge whenever the Euclidean distance between the corresponding two point
f the resistance distance corresponds to the Euclidean distance in the space spanned by K.
ions and demand points are in the plane with Euclidean distance as transportation cost (planar minm
In the plane under the ordinary Euclidean distance this diagram is also known as the h
In the plane under the ordinary Euclidean distance, the multiplicatively weighted Voro
that the vectors xi are not unique: with the Euclidean distance, they may be arbitrarily translated
of nodes that can be reached with an average Euclidean distance.
similarities in the item-item matrix and the Euclidean distances between items, and the location of
Boute argues that Euclidean division is superior to the other ones in te
2π/5, both of which are less than that of a Euclidean dodecahedron.
Three examples of different geometries: Euclidean, elliptical and hyperbolic geometry.
A further generalization (weighted Euclidean facility location) is when the set of weight
t mathematician Archimedes used the tools of Euclidean geometry to show that the area inside a circ
In Euclidean geometry a digon is always degenerate.
Beltrami also showed that n-dimensional Euclidean geometry is realized on a horosphere of the
hematics, Busemann's theorem is a theorem in Euclidean geometry and geometric tomography.
eno's young house-slave receives a lesson in Euclidean geometry under Socrates in Plato's dialogue
use of homogeneous coordinates, and in which Euclidean geometry may be embedded (hence its name, Ex
t proof of equiconsistency of hyperbolic and Euclidean geometry for any dimension.
In four-dimensional Euclidean geometry, the 24-cell honeycomb, or icositet
dean geometry was just as self-consistent as Euclidean geometry, and this was first accomplished by
In four-dimensional euclidean geometry, the 16-cell honeycomb, demitessera
In Euclidean geometry, Carnot's theorem, named after Laza
In Euclidean geometry, every triangle has two isodynamic
In five-dimensional Euclidean geometry, the omnitruncated 5-simplex honeyc
In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell ho
ffine geometry, like projective geometry and Euclidean geometry, follows naturally from the Erlange
In five-dimensional Euclidean geometry, the truncated 5-simplex honeycomb
In four-dimensional Euclidean geometry, the omnitruncated 4-simplex honeyc
In four-dimensional Euclidean geometry, the truncated 4-simplex honeycomb,
He made Euclidean geometry, where parallel lines are truly par
In five-dimensional Euclidean geometry, the 5-simplex honeycomb or hexater
s symmetry, however, Ashton used a system of Euclidean geometry, with geometric theorems adapted to
tive geometry software program for exploring Euclidean geometry, algebra, calculus, and other areas
ngle centers traditionally is concerned with Euclidean geometry, but triangle centers can also be s
In Euclidean geometry, the intersection of a line and a l
Influenced by Euclidean geometry, his larger works are created from
Contrast this with Euclidean geometry, in which a line has one parallel t
In the normal Euclidean geometry, triangles obey the Pythagorean the
lished on an equal mathematical footing with Euclidean geometry.
esigned to be consistent with the underlying Euclidean geometry.
This article is about the law of cosines in Euclidean geometry.
interactive geometry software for exploring Euclidean geometry.
which takes values in Ω(t), gives a model of Euclidean geometry.
n in science and engineering is that since a Euclidean graph representing a material extending thro
A Euclidean graph is a graph in which the vertices repre
the representation of materials as infinite Euclidean graphs, particularly crystals by periodic gr
e stabilizer of a null vector is the special Euclidean group SE(2), which contains T(2) as the subg
See also Euclidean group.
ever, if a relation is symmetric, then it is Euclidean if and only if it is transitive.
s metric signature (11,1), as needed for the Euclidean interpretation of the compactification space
The property of being Euclidean is different from transitivity.
matrix A must have orthogonal rows with same Euclidean length, that is,
Distance measures can be classified into Euclidean measures and non-Euclidean measures dependin
he metric tensor is well-approximated by the Euclidean metric, in the precise sense that
n the case the metric of the space being the Euclidean metric, and using standard notation, it beco
osed, the NNG is a forest, a subgraph of the Euclidean minimum spanning tree.
this can be solved efficiently by finding a Euclidean minimum spanning tree.
The Gabriel graph contains as a subgraph the Euclidean minimum spanning tree, the relative neighbor
Therefore, finding the Euclidean minimum spanning tree as a spanning tree of
ication of conditions under which a group of Euclidean motions must have a translational subgroup w
The dimension of Euclidean n-space En is n.
When talking about null sets in Euclidean n-space Rn, it is usually understood that th
roblem is to prove that an (n − 1)-sphere in Euclidean n-space bounds a topological ball, however e
In the case of Rn, the Euclidean norm is typically used.
n close to the time line, space behaves as a euclidean one.
ller integer the resulting pattern is either Euclidean or spherical rather than hyperbolic; convers
as a configuration of straight lines in the Euclidean plane with the possible exception of one of
sequence of a finite set U of points in the Euclidean plane or a higher dimensional Euclidean spac
lar) grid is a tessellation of a part of the Euclidean plane or Euclidean space by simple shapes, s
Consider an acute triangle in the Euclidean plane with side lengths a, b and c and area
e of the amount by which a function from the Euclidean plane to itself distorts circles to ellipses
he Gabriel graph of a set S of points in the Euclidean plane expresses one notion of proximity or n
use the underlying “space” is the continuous Euclidean plane R2, not the discrete lattice Z2.
Finding a spanner in the Euclidean plane with minimal dilation over n points wi
In Euclidean plane geometry, Lester's theorem, named afte
A domino tiling of a region in the Euclidean plane is a tessellation of the region by dom
e first a polyhedron, second this one in the Euclidean plane, and the rest in the hyperbolic plane.
objects consisting of any four points in the Euclidean plane, no three of which are on a common lin
For points in the Euclidean plane, a centerpoint may be constructed in l
a result on the geometry of triangles in the Euclidean plane, named after the mathematicians Hugo H
places the vertices of a Laman graph in the Euclidean plane, in general position, there will in ge
e side lengths and area of a triangle in the Euclidean plane, is named after Finsler and his co-aut
gonal tiling is a dual uniform tiling in the Euclidean plane.
square tiling is a semiregular tiling of the Euclidean plane.
agonal tiling is a semiregular tiling of the Euclidean plane.
Triakis triangular tiling is a tiling of the Euclidean plane.
agonal tiling is a semiregular tiling of the Euclidean plane.
tessellation of identical 60° rhombi on the Euclidean plane.
equality is a theorem about triangles in the Euclidean plane.
square tiling is a semiregular tiling of the Euclidean plane.
he tetrakis square tiling is a tiling of the Euclidean plane.
l tiling is a dual semiregular tiling of the Euclidean plane.
gonal tiling) is a semiregular tiling of the Euclidean plane.
so been considered for sets of points in the Euclidean plane.
lly for a set of points and obstacles in the Euclidean plane.
ed graph defined from a set of points in the Euclidean plane.
the 24-cell is the unique self-dual regular Euclidean polytope which is neither a polygon nor a si
0° in any geometry satisfying the first four Euclidean postulates.
anton fluid model is a model of Wick rotated Euclidean quantum chromodynamics.
Euclidean quantum gravity refers to a Wick rotated ver
Julian Schwinger, is the model describing 2D Euclidean quantum electrodynamics with a Dirac fermion
worked on several very influential papers on Euclidean quantum gravity and black hole radiation wit
Also solutions to the equation above are the Euclidean regular tilings {3,6}, {6,3}, {4,4}, represe
ivalence relations are exactly the reflexive Euclidean relations.
mmetric vacuums solutions using the standard euclidean scalar multipole moments.
In a Euclidean sense, Fermi-Walker transport is simply a st
The visibility graph approach to the Euclidean shortest path problem may be sped up by form
main with Lipschitz boundary) is a domain in Euclidean space whose boundary is "sufficiently regula
quality for compact subsets of n-dimensional Euclidean space Rn to random compact sets.
that cannot be embedded isometrically into a Euclidean space of any dimension.
Euclidean space Rn
One can tessellate 4-dimensional Euclidean space by regular 16-cells.
For tessellations of Euclidean space by polyhedra, see Honeycomb (geometry)
ular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g.
Let Ω be a bounded subset of Euclidean space Rn with diameter d.
Flexible polyhedra in the 4-dimensional Euclidean space and 3-dimensional Lobachevsky space we
taken from a given Euclidean space of fixed dimension d ≥ 1.
Formally, seven-dimensional Euclidean space is generated by considering all real 7
For any isometry group in Euclidean space the set of fixed points is either empt
ellation is the division of five-dimensional Euclidean space into a regular grid of 5-polytope face
Let K be a convex body in n-dimensional Euclidean space Rn containing the origin in its interi
erning integrable functions on n-dimensional Euclidean space Rn.
nown whether flexible polyhedra exist in the Euclidean space of dimension .
mathematics, a convex body in n-dimensional Euclidean space Rn is a compact convex set with non-em
vature (R) becomes infinitely large, a flat, Euclidean space is returned.
For functions on a higher-dimensional Euclidean space Rn, there are more measures of distort
en as a mass measure dm on three-dimensional Euclidean space R3, then the potential is the convolut
t is the difference of volumes of regions of Euclidean space given by polynomial inequalities with
easurable functions defined on n-dimensional Euclidean space Rn.
nequality for convex bodies in n-dimensional Euclidean space Rn.
e volume of a convex body K in n-dimensional Euclidean space by assume the existence of a membershi
xists a polyhedron which tiles 3-dimensional Euclidean space but is not the fundamental region of a
er of any 2d-facet polytope in d-dimensional Euclidean space is no more than d.
raph of an n-facet polytope in d-dimensional Euclidean space has diameter no more than n − d.
Specifically, consider a lattice L in Euclidean space Rn and a d-dimensional polytope P in R
ature of a triple of points in n-dimensional Euclidean space Rn is the reciprocal of the radius of
imensional Lebesgue measure on n-dimensional Euclidean space Rn and let M denote the Hardy-Littlewo
e the demicube is an ordinary polyhedron (in Euclidean space).
is a space that locally is an n-dimensional Euclidean space, but whose global structure may be non
It is degenerate in a Euclidean space, but may be non-degenerate in a spheri
For suitable domains in Euclidean space, the two notions of size coincide, up
In Euclidean space, the dot product of two unit vectors i
Such lines do not exist in ordinary Euclidean space, but only in certain others such as pr
conjugation of isometries in Euclidean space, an explicit description of the images
As a result, in the three-dimensional Euclidean space, the two possible basis orientations a
In the Euclidean space, the isoperimetric inequality says tha
ff manifolds: spaces locally homeomorphic to Euclidean space, but not necessarily Hausdorff.
n the surface of n-spheres, in n-dimensional Euclidean space, and n-dimensional hyperbolic space.
by introducing homogeneous coordinates on a Euclidean space, thus effectively regarding it as a pr
hedral aperiodic tiling of three-dimensional Euclidean space, but it remains open whether there is
given Gaussian measure in the n-dimensional Euclidean space, half-spaces have the minimal Gaussian
This article is about the Euclidean space-time solution.
A meron or half-instanton is a Euclidean space-time solution of the Yang-Mills field
ert spaces are simply generalizations of the Euclidean space.
and not a priori parts of some ambient flat Euclidean space.
Let E be a finite-dimensional Euclidean space.
ast a fixed orientation in three dimensional Euclidean space.
ithout curvature is called a "flat space" or Euclidean space.
estions about lattices and sphere packing in Euclidean space.
ized by any 3-dimensional object in ordinary Euclidean space.
ined on the real line, or higher dimensional Euclidean space.
lation of uniform polytopes in 6-dimensional Euclidean space.
of the pendulum in a 2-dimensional sphere of Euclidean space.
s that the graph G is a part of a lattice in Euclidean space.
lly Lebesgue measures) of compact subsets of Euclidean space.
ally different space groups in n-dimensional Euclidean space.
urface area and volume of compact subsets of Euclidean space.
of the median to data in higher-dimensional Euclidean space.
e isometrically realized as a submanifold of Euclidean space.
Its generalization to n-dimensional Euclidean spaces is known as the smallest enclosing ba
slation and rotation is a global isometry on Euclidean spaces.
of the research done was on the lattices in Euclidean spaces.
dissertation was titled "Saddle surfaces in Euclidean spaces."
rocedure called anthyphairesis, based on the Euclidean subtraction algorithm.
avitation is more a test of whether space is Euclidean than a test of the properties of the gravita
                                                                                                   


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