Bibliographic record
Abstract
A generalization of the Dirac-delta impulse is shown to extend the domain of convergence of Laplace and z transforms to functions that had hitherto had no transform. An historic anomaly is in fact revealed and a a solution thereof proposed. Novel generalized spectral analysis transforms and power spectra are shown to call for such a generalization of the Dirac-delta impulse. The suggested generalization, extending considerably the domains of convergence of Laplace and z transform domains calls for the re-writing of Laplace and z transforms. Transforms of basic Jitnctions such as a two-sided infinite duration exponential now exist. Transforms of such basic functions such as the Heaviside unit step function is now re-written to be a true generalization of the Fourier transform. Bilateral Laplace and z transform are now given their true power and importance, leading no doubt to a new interest and intensive activity in their theory and to their applications in most scientific and engineering domains. A complex-variable Distribution Theory for Laplace and z transforms recently proposed is briefly introduced.
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How this classification was reachedexpand
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".