Sunday, October 11, 2015

Involving An Idea Relating to Stoke's Theorem

First of all, do you know that, when involving an idea --such as Stoke's Theorem, one may have multiple types of formats of surface areas, that each involve the same two-dimensional-based scalar amplitude as to the amount of spatial-based coverage of such a relatively similar genus of a flat-spaced planar-based Hodge-based size?  For instance, one may have two planes, that, when only taking into condsideration the spatial parameters of two dimensions of dimensionality, to where both involve a square of three arbitrary given units of Hodge-based length by three arbitrary given units of Hodge-based width, yet, when one is here to consider, instead, the framework of an involvement that works to include ten spatial dimensions plus time to the two so-eluded-to planes -- the two respective given arbitrary planes may then take upon themselves two entirely different mappable tracings, that may be extrapolated.  So, if one were to take two analagous planes of a Hamiltonian operand-based nature -- that would here involve two covariant, codeterminable, and codifferentiable loci of two different individually taken orbifold eigensets -- with a Real Reimmanian-based charge being propagated from these so-stated orbifold eigensets, over a simultaneous sequential-based series of group-related instantons (through the vantage-point of a central conipoint), if the other spatial parameters that would here directly work to explain the substringular setting of the here relative substringular neighborhood of two different individually taken orbifold eigensets, is of two different Ward-Caucy-based contours -- over the cohomological-based topology of the said two different planar-based regions, in which the two different respective so-eluded-to orbifold eigensets are to bear a propagated Real Reimmanian-based charge, then, if the two said planes of substringular neighborhood may be extrapolated via a theoretical mapping that acts as an attempt to form a trivial isomorphic-based tracing, the resultant Laplacian-based directoral-based topological sway -- that would then work to describe both the locus and the motion as to the where, when and how that the then extrapolated two individual Njenhuis-based charges that would then accompany both of the respective individually taken Real-based charges, would then be of a different cohomological-based index of both mappable starting locus as well as then being of a different cohomological-based index of their resultant projections, over time.  To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

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