Recoverability
IMPORTED REVISION FROM WIKISPACES
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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.
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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 = <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>