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The notes combine the named components with tensor-product or direct-sum-style notation. The expression records the proposed organization of the model. Concrete dimensions, operator definitions and evaluation order are required before the composition is an executable numerical rule.
Terms & definitions
The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.
How it works
Read \boxed{ R_{ext} as the quantity being defined or updated by this relation.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
1.4. Extended Rhiannon object (compact)
Define an extended Rhiannon state:
\boxed{
R_{\text{ext}} =
\hat{R}
\otimes
\theta
\otimes
K
\otimes
W
\otimes
S
\otimes
\epsilon
\otimes
\delta\epsilon
\otimes
E_{tot}
\otimes
\Lambda
\otimes
\rho
}
So now Rhiannon is not just R^\*; it is R_{\text{ext}}:
core state + stability + transitions + coupling + entropy + error dynamics + energy + cross-layer + routing + phase + normalization.
⸻
2. What this does to RhiannonExact original notation
\boxed{
R_{\text{ext}} =
\hat{R}
\otimes
\theta
\otimes
K
\otimes
W
\otimes
S
\otimes
\epsilon
\otimes
\delta\epsilon
\otimes
E_{tot}
\otimes
\Lambda
\otimes
\rho
}Related builds
Sources & provenance
\boxed{ R_{\text{ext}} = \hat{R} \otimes \theta \otimes K \otimes W \otimes S \otimes \epsilon \otimes \delta\epsilon \otimes E_{tot} \otimes \Lambda \otimes \rho }
\boxed{ R_{\text{ext}} = \hat{R} \otimes \theta \otimes K \otimes W \otimes S \otimes \epsilon \otimes \delta\epsilon \otimes E_{tot} \otimes \Lambda \otimes \rho }