「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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