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Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.
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Given and field
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Given and ordering
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Given a set of observations ( x < sub > 1 </ sub >, x < sub > 2 </ sub >, …, x < sub > n </ sub >), where each observation is a d-dimensional real vector, k-means clustering aims to partition the n observations into k sets ( k ≤ n ) S =
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Given and 1
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Given the low efficiency of the laser amplification process ( about 1 to 1. 5 %), and the losses in generation ( steam-driven turbine systems are typically about 35 % efficient ), fusion gains would have to be on the order of 350 just to break even.