A problem of a micropolar magnetohydrodynamic boundary-layer flow
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Bibliographic record
Abstract
The matrix exponential method, which constitutes the basis of the state space approach of modern control theory, is applied to the nondimensional equations of unsteady boundary layer flow past an infinite plane surface with a pressure gradient. Laplace-transform techniques are used. The results obtained can be used to generate solutions in the Laplace-transform domain to a broad class of problems in magneto-hydrodynamic boundary layer flow. The technique is applied to the problem of an electrically conducting micropolar fluid flowing past a vertical plane surface in the presence of a transverse magnetic field and to the problem of flow between two parallel plates. A numerical method is employed for the inversion of the Laplace-transforms. Numerical results are given and illustrated graphically for both problems.PACS No.: 47.65+a
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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) | 0.001 | 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