Examples of 'euclidean space' in a sentence
Meaning of "euclidean space"
euclidean space - In mathematics, Euclidean space refers to a geometric space with a specific set of properties, such as being flat and obeying the Euclidean axioms. It is commonly used to represent physical space and is characterized by its straight lines, planes, and angles
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- Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
- Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.
How to use "euclidean space" in a sentence
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euclidean space
Euclidean space poses the indeformability of moving figures.
These spaces can be viewed as extensions of euclidean space.
Euclidean space contains only the spatial coordinates.
We also study the topology of a certain class of submanifolds of euclidean space.
Automorphisms of a Euclidean space are motions and reflections.
The relative way to determine the position of a point in space is called euclidean space.
Lebesgue measure on Euclidean space is locally finite.
Initially some elements of vector algebra that will guide the study in euclidean space.
The Euclidean space is an example of an equidimensional space.
Integrating on structures other than Euclidean space.
Every Euclidean space is also a complete metric space.
Unit spheres and balls in Euclidean space.
On Euclidean space in terms of the angle between vectors.
Such a space is called a Euclidean space.
Rotations in Euclidean space leave the distance between two points invariant.
See also
This article considers only curves in Euclidean space.
Any hyperplane of a Euclidean space has exactly two unit normal vectors.
The article considers only curves in Euclidean space.
The dimension of a Euclidean space is the dimension of its associated vector space.
But this is still a Euclidean space.
Symmetries of a Euclidean space are transformations which preserve the Euclidean metric called isometries.
Typical examples are the real numbers or any Euclidean space.
Some theorists prefer to stick to Euclidean space and say that there is no dual.
Manifolds inherit many of the local properties of Euclidean space.
In case of Euclidean space with usual metric the two notions of similarity are equivalent.
See also fixed points of isometry groups in Euclidean space.
They demonstrated that ordinary Euclidean space is only one possibility for development of geometry.
This is a generalization of the notion of a bound vector in a Euclidean space.
Any convex set in a Euclidean space is a convex metric space with the induced Euclidean norm.
And here we are dealing with a two dimensional Euclidean space.
A shape diagram is built into the Euclidean space and its coordinates are two morphometrical functionals.
A simple example of a doubling measure is Lebesgue measure on a Euclidean space.
A Euclidean space with Lebesgue measure is a measure space.
The universal cover of a complete flat manifold is Euclidean space.
But a Euclidean space is orientable.
This is a generalization of the dot product of ordinary Euclidean space.
Those of the Euclidean space.
Physical space is represented in classical mechanics by means of a Euclidean space.
A rigid graph is an embedding of a graph in a Euclidean space which is structurally rigid.
A smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space.
That is an Euclidean space.
Lobatschewski has already exploded the absoluteness of Euclidean space.
See Euclidean space.
Example gives the standard basis of the Euclidean space.
Punctured Euclidean space.
Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space Rn.
The Poisson summation formula holds in Euclidean space of arbitrary dimension.
Newtonian physics applies the principle of general relativity to Euclidean space.
Properties in Euclidean space.
This article is about vectors strictly defined as arrows in Euclidean space.
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In this experiment the euclidean distance was used
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