Seeking the Best Shape of Pans Heated in an Oven
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
When baking cakes, we expect that the whole cake is heated evenly.In order to find the best shape of pans to make cakes, webuild two models. Model one is built to explore the distribution of heat across the outer edges of different pans.To be specific, under the condition that the ambient temperature is constant, we simulate the distribution of heat across the outer edges of pans in different shapes. The pan can be rectangle, pentagon, hexagon and so on. By means of calculating the slope of the temperature variation at the edge we can get heat distribution degree of pans in different shapes.We find that circular pans can be heated more evenly than any other shape of pans. Model two is built to explore which shape of pans can make the most use of the space in the rectangular oven. Giving different schemes for different shapes of pans and calculating the ratio of each scheme occupying in the oven we can get the area occupying ratio. We find that the rectangular pans similar to the oven make the most use of the space inside the oven. Considering both sides of heat distribution degree and area occupying ratio we can get the most optimized model of shape of pans to make cakes.
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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 | 0.007 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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