Examples of using Euclidean space in English and their translations into Swedish
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Basic topological concepts in Euclidean space.
Euclidean spaces also generalize to higher dimensions.
A rigid graph is an embedding of a graph in a Euclidean space which is structurally rigid.
Three parameters are always required to describe orientations in a 3-dimensional Euclidean space.
Some theorists prefer to stick to Euclidean space and say that there is no dual.
use basic concepts in the theory of finite dimensional Euclidean spaces;
To describe such an orientation in 3-dimensional Euclidean space three parameters are required.
the space is usually three-dimensional Euclidean space.
Just as manifolds are locally modelled on Euclidean space, tangent bundles are locally modelled on U× Rn.
A manifold is a topological space that near each point resembles Euclidean space.
In classical physics, space is a three-dimensional Euclidean space where any position can be described using three coordinates and parameterised by time.
Higher-dimensional knots are n-dimensional spheres in m-dimensional Euclidean space.
Integer coordinates of points in Euclidean spaces of two or more dimensions also have a parity,
Be able to give an account of and use basic concepts in the theory of finite dimensional Euclidean spaces;
Since Euclidean space never reaches infinity, the projective equivalent, called extended Euclidean space, may be formed by adding the required'plane at infinity.
defined mathematically as an embedding of a circle in three-dimensional Euclidean space, R3.
Let Ω{\displaystyle\Omega} be an open subset of n{\displaystyle n}-dimensional Euclidean space R n{\displaystyle\mathbb{R}^{n}}, and let Δ{\displaystyle\Delta} denote the usual Laplace operator.
The first part of the problem asks whether there are only finitely many essentially different space groups in n{\displaystyle n}-dimensional Euclidean space.
acting on distributions over a subset of the Euclidean space R n{\displaystyle\mathbb{R}^{n}},
He constructed an infinite family of geometries which are not Euclidean by giving a formula for a family of Riemannian metrics on the unit ball in Euclidean space.
A bump function is a function f: R n→ R{\displaystyle f:\mathbf{R}^{n}\rightarrow\mathbf{R}} on a Euclidean space R n{\displaystyle\mathbf{R}^{n}} which is both smooth(in the sense of having continuous derivatives of all orders) and compactly supported.
of compact subsets of Euclidean space.
n-dimensional Euclidean space(where the problem becomes circle packing in two dimensions,
which is a stronger version of the Cauchy-Schwarz inequality for the Euclidean space R n{\displaystyle\textstyle\mathbb{R}^{n.
In geometry, the Killing-Hopf theorem states that complete connected Riemannian manifolds of constant curvature are isometric to a quotient of a sphere, Euclidean space, or hyperbolic space by a group acting freely
For a space with Euclidean metric ϵa is 1 so can be omitted,