Discretization of the MPIE with Shape Functions‐based RWG MoM
Bibliographic record
Abstract
This chapter provides representation of Rao-Wilton-Glisson (RWG) basis functions as superposition of ramp functions and shape functions. It scalarizes the method of moments (MoM) interactions through dyadic Green's function of layered media. The MoM can be used to solve the mixed-potential integral equation. The evaluation of inner products is heavy, as they feature algebraic triplet structure as well as the product of vector functions with dyadic. It starts discussion of the 𝛿-gap excitation from a basic description of the forces producing motion of charges in the antenna. Decomposition of the RWG basis function into half-RWG functions with representation of the latter as superposition of the shape functions on a given triangle of the mesh allows to scalarize the MoM interaction integrals defining the impedance matrix elements.
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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) | 0.003 | 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".