Relation Between the Single Orths of a Point on the Axis of the Deformed Thread in the Case of Euler and Lagrange Coordinates
Bibliographic record
Abstract
The values of the position vectors and unit tangents have been determined by research, defining the positions of points on the axis of the deformed thread using Eulerian and Lagrangian coordinates. The position vector defines the point's position on the line relative to the moving coordinate system. It determines the point's position on the line relative to the stationary coordinate system. Consequently, when the thread is displaced, the point moves to a new position. The new position vector defines the point's position on the line. The displacement vector of the point on the thread axis characterizes the shift of points due to deformation at the thread intersection. This has made it possible to use these theoretical relation at the initial stage of designing the technological process to derive equations for determining thread tension in the fabric and knit forming zone, reduce thread breakage rates, and enhance the quality of the finished products
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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 | 0.001 | 0.001 |
| 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 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".