CASCADE DECOMPOSITION WITH CANONICAL SCATTERING POLYNOMIALS
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Bibliographic record
Abstract
Abstract — The decomposition of the transfer matrix T into a product of two simpler transfer matrices T a and T b, i.e., T = T a T b is discussed. Where T a corresponds to one of the elementary sections which are organized as a table in this paper and that T b has the same properties as T except a lower degree is proved rigorously in Theorems 1 and 2. Replacing T with T b, the decomposed procedure can be repeated until all elementary sections are extracted. Following Theorems 1 and 2, one necessary and sufficient condition for the cascade synthesis of a lossless, passive, two-port network from a given canonic set of scattering polynomials is obtained. Finally, based on the decomposition, a synthesis algorithm is presented for the realization of a lossless, passive, two-port network. REFERENCE [Jarm90] M. R. Jarmasz “A simplified synthesis of lossless two-port wave digital and analog fil ters,” Ph.D. Thesis, University. of Manitoba, Winnipeg,1990. [Fett70] A. Fettweis “Factorization of transfer matrices of lossless two-ports, ” IEE Trans. Circuit Theory,”
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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 | 0.000 |
| 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 it