The definition of Euclidean
distance is defined in section 2.
In Section 4, the characterizations and enumerations of Euclidean
and Hermitian self-dual cyclic codes of length [p.
Restricting the problem to Euclidean
graphs (where vertices are points in Euclidean
space and edge weights are the Euclidean
distances between pairs of vertices) gives rise to the Euclidean
BDMST Problem , The problem finds application in several domains, ranging from distributed mutual exclusion  to wire-based communication network design  and data compression for information retrieval .
The results can be easily transferred to the Euclidean
and Lorentz-Minkowski spaces.
As witnessed by our own work over the last years, we expect that broadening the scope and incorporating tools from the Riemannian world will lead to significant progress in our understanding of the qualitative and quantitative structure of isoperimetric minimizers in the purely Euclidean
Considering the complicated surroundings in optical images Euclidean
distance transform (EDT) was adopted in this paper.
While all students have generally been exposed to Euclidean
geometry, most do not know much about non-Euclidean
geometries and are very intrigued, if at times baffled, by this different perspective.
This is not just an academic exercise--large parts of the modern world function on the basis of higher-dimensional Euclidean
i]] denotes the Euclidean
distance between the starting and ending positions of the joint [j.
Let M be an n-dimensional submanifold of an (n + m)-dimensional Euclidean
As the Euclidean
Distance is the proper distance at the time light was emitted from a source of light, it is equal to the comoving distance times the scale factor at the time of emission.
metric invokes a special demand geometry that is rotation invariant and thus preserves aspects of one-dimensional analysis, where there is no role for direction independently of distance.