A novel single surface integral equation for the analysis of fields in the presence of induced solid conductors
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Bibliographic record
Abstract
Quasistationary fields in the presence of solid conductors can be analysed by using coupled boundary integral equations (BIE) which are formulated in terms of two unknown quantities over each conductor surface. These unknowns can be either the magnetic vector potential and its normal derivative [1] or the conduction current density and its normal derivative [2], or the equivalent surface electric and magnetic currents [3]. In a previous paper, we formulated a single-source surface integral equation (SSSIE) satisfied by a single unknown current density distributed over the surface of the conducting bodies, thus reducing by half the number of unknowns and decreasing significantly the CPU time [4]. The vector potential inside the conductors was expressed in terms of a single surface electric current density, while the potential outside was obtained from the formula of three potentials for Laplacian fields.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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