Example sentences for: euclidean

How can you use “euclidean” in a sentence? Here are some example sentences to help you improve your vocabulary:

  • To do that, Nash, on a wager, disposed of a deep problem that had baffled the profession since the 19 th century: He showed that any Riemannian manifold possessing a special kind of "smoothness" can be embedded in Euclidean space.

  • The log transformed data for each taxon were used for cluster analysis using CLUSTER.BAS [ 31 ] with Euclidean distance and group average strategy.

  • Loury, in other words, was and is a first-rate technical economist with a mathematical bent who has ended up writing and speaking not about Euclidean spaces but about the political economy of race.

  • Euclidean space, by contrast, is orderly and bourgeois.

  • To determine whether immunogold-labeled tBid is spatially clustered or randomly located about contact sites, a spatial point pattern statistics was used, namely, the nearest neighbor statistic [ 16 ] . The Euclidean distances from each immunogold particle to all of the contact sites in the reconstruction was calculated for all the particles using a similar approach to that described by Perkins and coworkers [ 13 ] . The nearest neighbor statistic was calculated for the reconstruction using the closest observed contact site to each gold particle and then calculating the mean and standard deviation for all such measurements in a reconstructed mitochondrion.


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