Bibliographic record
Abstract
Description of Motion In this chapter we are concerned with the motion of continuous bodies without reference to the forces producing the motion. A continuous body is a hypothetical concept and is a mathematical model for which molecular structure is disregarded and the distribution of matter is assumed to be continuous. Also it may be regarded as an infinite set of particles occupying a region of Euclidean point space E 3 at a particular time t . The term particle is used to describe an infinitesimal part of the body, rather than a mass point as in Newtonian mechanics. A particle can be given a label, for example, X , and there is a one-one correspondence between the particles and triples of real numbers that are the coordinates at time with respect to a rectangular Cartesian coordinate system. There are four common descriptions of the motion of a continuous body: Material description. The independent variables are the particle X and the time t . Referential description. The independent variables are the position vector X of a particle, in some reference configuration, and the time t . The reference configuration could be a configuration that the body never occupies but it is convenient to take it as the actual unstressed undeformed configuration at time t = 0. The term natural reference configuration is used to describe the unstressed undeformed configuration at a uniform reference temperature. […]
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.015 | 0.003 |
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 source (direct Gemma or distilled Codex), 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".