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H maps the model’s state into the representation z that will be measured. Its output could be a parameter-derived coordinate, activation summary, or another declared measurement. The chosen H, its units, and its invariances must be fixed before comparing z with a reference.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| z_t | Measured representation |
| H | Specified extraction map |
| S_t | Bookkeeping state |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
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Original context
Read the surrounding source passage
The identity expression x=x is reflexive equality. It does not, without further specification, establish a temporal invariant, an internal act of self-recognition, or a declaration. For example, xt=xt is compatible with xt+1≠xt. The proposed theory can assign a functional role to a declaration, but that role must be specified as an operation or observation rather than inferred from the tautology alone. 2.2 Reference, representation, and declaration Let rt=ρSt be an independently measured reference relevant to a task. Let zt=HSt be an internally maintained estimate or report. Both must be mapped into a common comparison space before a distance is meaningful. A physical robot and a sentence describing that robot are different types of objects; their raw inequality is not evidence of an error. A hand-position estimate and a measured hand position, by contrast, can be compared in the same coordinates. Define current-reference discrepancy and origin displacement separately: δt=dzt,rt, bt=dzt,rtD. Here tD is a candidate declaration time. A system can have bt>0 because it correctly tracks a changing reference while maintaining δt=0. This distinction prevents ordinary development or accurate adaptation from being classified as falsity solely because it differs from an earlier state.
Exact original notation
{z}_{t}=H\left({S}_{t}\right)Related builds
Sources & provenance
{z}_{t}=H\left({S}_{t}\right)
{z}_{t}=H\left({S}_{t}\right)
{z}_{t}=H\left({S}_{t}\right)
{z}_{t}=H\left({S}_{t}\right)