Universalité, variables complexes et réarrangement
Bibliographic record
Abstract
Nous allons exposer dans ce mémoire divers résultats sur lâuniversalité en analyse complexe.\nNous énoncerons dâabord des résultats généraux sur les séries universelles, puis\nsur un type dâuniversalité dû à Fournier et Nestoridis qui établit un lien nouveau entre\nlâuniversalité et la non-normalité dâune famille de fonctions. Par la suite, nous introduirons\nun type différent de séries universelles obtenues en réarrangeant les termes de\nséries arbitraires. Nous prouverons dans ce mémoire la généricité algébrique de ce type\nde séries universelles pour tout espace de Banach et la généricité topologique dans les\nespaces de dimension finie. Aussi, nous démontrerons que pour toute série universelle\npar réarrangement il existe un réarrangement de ses termes pour lequel cette série devient\nuniverselle au sens usuel.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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) | 0.011 | 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".