A Comment on the Inverse Problem for the Seismic Wave Equation
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Bibliographic record
Abstract
Summary Equality of motion on the surface of two earths known to be identical on their surface implies that both earths are everywhere identical ' in the mean' and are driven by identical sources. The result holds for totally arbitrary variations of elastic and density properties and supposes only that no mathematical discontinuities exist within the Earth. It is further assumed that total asymmetry exists. This is physically reasonable and mathematically desirable in order to avoid artificial complications associated with degeneracy. The completeness theorem All small vibrations in the Earth (not just toroidal ones) must satisfy (CpWJ,qp),j-pU~ = -fi (1 ) where C#q is the completely arbitrary elasticity tensor, U' p
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it