# Symbol Table — EML-ONTO-CORE-03 v0.1

| Symbol | Meaning | Note |
|---|---|---|
| $\mathcal S_A^q,\mathcal S_B^q$ | context-relevant state domains | not entire ontology by default |
| $\mathcal Z_{AB}^q$ | common representation/comparison domain | optional realization |
| $\phi_A^q,\phi_B^q$ | encoders/maps to common domain | need not be injective |
| $\mathcal Z_{AB}^{\cap,q}$ | exact common image | representation-based |
| $\mathcal P_{AB}^q$ | exact pullback-style matching pairs | equality in common representation |
| $\mathcal P_{AB}^{q,\epsilon}$ | approximate matching pairs | requires discrepancy metric |
| $\mathcal R_{AB}^q$ | relation-native shared-state correspondence | general realization |
| $\mathcal D_{AB}^q$ | Shared-State Domain Object | correspondence + projections |
| $\rho_{A\to B}^{share,q}$ | directional shared-state coverage | typed measure/coverage |
| $T_{A\to B}^q$ | partial transport | map/kernel/translator/transducer |
| $\eta_{A\to B}^{tr,q}$ | transport fidelity | normalized task-relative observable |
| $C_{A\to B}^q$ | active coupling input/law | not historical TUO Connection symbol |
| $\kappa_{A\to B}^q$ | coupling strength | realization-dependent |
| $\bar\kappa$ | normalized coupling strength | $\kappa/(1+\kappa)$ when applicable |
| $e_{AB}(t)$ | synchronization error | on selected observable |
| $\mathbf P_{AB}^q$ | SSDC profile | canonical measurement object |
| $c_{A\to B}^{eff,q}$ | effective directional SSDC coefficient | optional scalar projection |
| $c_{AB}^{sym,q}$ | symmetric summary | never replaces directional values |
| $\delta_{ABC}^{comp}$ | mediated-transport composition defect | path dependence |
| $\mathrm{SSDC}$ | Shared-State Domain Coupling | canonical relational theory |