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Record W4393971141 · doi:10.1002/9781119763222.ch9

Mixed‐Potential Integral Equation

2024· other· en· W4393971141 on OpenAlexaff

Bibliographic record

Venuenot available
Typeother
Languageen
FieldMathematics
TopicNumerical methods in inverse problems
Canadian institutionsUniversity of Manitoba
Fundersnot available
KeywordsIntegral equationMathematicsApplied mathematicsMathematical analysis

Abstract

fetched live from OpenAlex

This chapter helps the reader to understand popular formulation of mixed-potential integral equation and reduction of vector Maxwell equations in layered media to problem of solving scalar Telegrapher's equations for transmission lines with cascaded impedances. It provides formulation of analytic expressions for spectra of voltages and currents in transmission line equations governing spectra of vector and scalar potentials in layered media in case of point source excitation for all possible mutual locations of the point source and observation location. The chapter shows that Green's function components for multilayered medium can be formulated in terms of the one-dimensional transmission line formalism with respect to the coordinate of stratification. Ray-tracing process foundational to formulation of closed-form expressions for spectra of Green's function components is explained.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.011
Threshold uncertainty score0.038

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.001
Scholarly communication0.0020.002
Open science0.0010.001
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0110.002

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.

Opus teacher head0.178
GPT teacher head0.382
Teacher spread0.204 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

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".

Quick stats

Citations0
Published2024
Admission routes1
Has abstractyes

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