Fractal Attractor via Controlled Strong b-Kannan Iterated Function System
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Bibliographic record
Abstract
Nowadays, most of the real time problems have been attempted by using well-known fixed point theorems. Especially the Banach contraction theorem is a well-posted tool to solve many dynamical problems of applied mathematics. This paper explores an idea in generalizing fixed point theorem to generate a proposed fractal type set called Controlled Strong b−Kannan Fractal (CSbK-Fractal) through the dynamical system of Kannan contractivity function in the Controlled Strong b−Metric Space (CSbMS). Furthermore, the collage type theorem is proved on CSbK-Fractal. In this context, the interesting results and consequences of newly developing iterated function system and its fractal attractor in the controlled strong b−metric space are discussed with examples. This theory can provide a novel direction to construct a new kind of fractal set in generalized spaces.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 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