Multi-modal continuous approximate synthesis of planar four-bar function generators
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Bibliographic record
Abstract
This paper introduces a novel multi-modal continuous approximate synthesis algorithm for planar four-bar function generators. The synthesis equation is the sum of the squared input-output (IO) equations integrated over the different prescribed input variable parameter ranges. Every planar four-bar mechanism explicitly generates six distinct functions each uniquely determined by one set of link parameter constants. We will examine the simultaneous continuous approximate synthesis of two related perturbed, but not competing, functions between different pairs of joint variables that, in general, require different link constants to generate. The optimisation involves identifying the best compromise link lengths. Planar 4R and RRRP examples are presented where two different functions, one primary and the other perturbed secondary, are generated over continuous ranges between the specified input variable parameter and the associated output variable parameter. The area between the prescribed and generated continuous IO curves is both a measure of the design and structural errors.
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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 | 0.001 | 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