Tuesday, September 10, 2013

Part Two of the Test Solutions To the First Test of Cours 14

4)  A nontrivial isomorphism is a physical symmetry that, when the timeless extrapolated respective mapping of such a symmetry is folded along a central coniaxial, the bimorphological contour that is thus formed between the eluded to sets of mapped-out based regions is not identical -- in terms of the respective Poincaire basis of codeterminable region that may be determined via such a theoretical folding.  The symmetry here is not an identical physical pattern in terms of the distribution of the region that exists on either side of the eluded to central coniaxial, whether this is here due to either an alterior permutation, or, if this is due to any other physical aberration from an identical pattern on either side of the given arbitrary central coniaxial.

5)  A cyclic permutation is an aberration from a general morphological contour of physical space that thence perturbates from initially existing at a given general arbitrary locus -- to not existing there, to then going back to existing there, over a successive series of iterations of group instanton.  This would here be at the said given arbitrary locus of a given arbitrary orbifold or orbifold eigenset -- that may here be either of a genus of a relatively static-basis and/or of a genus of a relatively kinematic-basis.  This is because a single orbifold eigenset may have certain cyclic permutations that are virtually indistinguishably different at one locus that is from within the said respective eigenset, while, also having certain cyclic permutations that may be easily extrapolated as altering constantly in a detectibly viable manner at a different general locus of such a given arbitrary orbifold eigenset.  Such a genus of permutation may exist along any given arbitrary topological contour in which such a basis of condition is applicable.

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