Accurate characterization of coaxial transmission line via higher order moment method solution of novel single-source surface integral equation
Bibliographic record
Abstract
Recently proposed new single-source integral equation is applied for high-precision magneto-quasi-static characterization of a coaxial cable through its higher order method of moments solution. The geometry of the cable's inner conductor is exactly represented through the analytic mapping of the square to the circle while the cross-section of the cable's sheath and its boundaries are exactly discretized in the polar coordinates. The use of curvilinear meshing of the geometry eliminates error in the solution associated with its discretization. The per-unit-length inductance and resistance in a typical coaxial cable configuration have been extracted in the regimes of the weak, intermediate, and strong skin-effects. In the regime of the intermediate skin-effect, the 3rd order solution is shown to achieve more than 6 digits of precision in the extracted resistance and inductance with moderate use of computational resources. The proposed formulation provides an analytic like quality in characterization of the coaxial cables under the scenarios where analytic solution of the problem is not available.
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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".