Recoverability

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Revision as of 11:48, 2 February 2015 by Wikispaces>genewardsmith (**Imported revision 539365608 - Original comment: **)
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This revision was by author genewardsmith and made on 2015-02-02 11:48:16 UTC.
The original revision id was 539365608.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Suppose W is a p-limit rank r wedgie, and so of dimension n = π(p). Let R be the p-limit rank r wedgie (W∨2)^J, where J = <1 log₂(3) log₂(5) ... log₂(p)|. Then if rounding the coefficients of R to the nearest integer gives W, W is //recoverable//. 

W∨2 consists of two segments. The first segment consists of coefficients for basis elements (which are (r-1)-fold wedge products of primes) containing 2 in the product. Since we are examining W∨2, these coefficients are all identically 0. The second segment consists of the initial segment of W itself, being all coefficients for basis elements in W containing 2. Then R = (W∨2)^J consists of three segments. 

Original HTML content:

<html><head><title>Recoverability</title></head><body>Suppose W is a p-limit rank r wedgie, and so of dimension n = π(p). Let R be the p-limit rank r wedgie (W∨2)^J, where J = &lt;1 log₂(3) log₂(5) ... log₂(p)|. Then if rounding the coefficients of R to the nearest integer gives W, W is <em>recoverable</em>. <br />
<br />
W∨2 consists of two segments. The first segment consists of coefficients for basis elements (which are (r-1)-fold wedge products of primes) containing 2 in the product. Since we are examining W∨2, these coefficients are all identically 0. The second segment consists of the initial segment of W itself, being all coefficients for basis elements in W containing 2. Then R = (W∨2)^J consists of three segments.</body></html>