Development Of A Method To Realize A Uniform Sound Field In Three- Dimensional Spaces Based On The Ray-Tracing Algorithm
Bibliographic record
Abstract
In this study, a method of mapping ray motions in three-dimensional geometrical spaces was theoretically established using the ray-tracing algorithm. The paths along which the acoustic ray propagates in enclosed rectangular and concave spaces are described according to the ray-tracing algorithm. The location and the direction of the acoustic ray at arbitrary points on the paths were explored. The largest Lyapunov exponents (LLEs) of the ray systems in the rectangular and concave spaces were determined using the Wolf algorithm based on the points on the propagation paths with equal length in the time series. A new chaotic concave geometry is produced with a positive LLE. The LLEs of ray dynamics between the two geometrical spaces were compared and the results showed that the ray moves in a regular fashion in the rectangular space with an LLE of 0 whereas the ray exhibits chaotic behavior in the concave space with a positive LLE. The acoustic fields in both of these spaces in were described by applying ray chaos to the building acoustics. The acoustic diffusion was evaluated based on the uniformity of the sound pressure levels at different positions in the sound field using Odeon room acoustics software. The results showed that the proposed model has the potential to simulate chaotic dynamics of acoustic rays in enclosed spaces.
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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 | 0.000 |
| 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 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".