Advances in analysis : proceedings of the 4th International ISAAC Congress, York University, Toronto, Canada, 11-16 Augist 2003
Bibliographic record
Abstract
* Evaluation of Sylvester Type Determinants Using Orthogonal Polynomials (R Askey) * Entropy Numbers of Sobolev and Besov Classes on Homogeneous Spaces (A Kushpel & S Tozoni) * Operator Equations and Best Approximation Problems in Reproducing Kernel Hilbert Spaces with Tikhonov Regularization (S Saitoh et al.) * Bp, Qp Spaces and Harmonic Majorants (E R de Arellano et al.) * Dual Integral Equations Method for Some Mixed Boundary Value Problems (J M Rappoport) * Combined Integral Representations (H Begehr) * Remarks on Quantum Differential Operators (R Carroll) * Weak and Strong Solutions for Pseudo-Differential Operators (M W Wong) * Comparison Results for Quasilinear Elliptic Hemivariational Inequalities (S Carl) * Zeros and Signs of Solutions for Some Reaction-Diffusion Systems (H Uesaka) * Remarks on Quantum KdV (R Carroll) * Classical Dynamics of Quantum Variations (M Kondratieva & S Sadov) * On the Zeros of a Transcendental Function (M V DeFazio & M E Muldoon) * The First Positive Zeros of Cylinder Functions and of Their Derivatives (L Lorch) * Bergman Kernel for Complex Harmonic Functions on Some Balls (K Fujita) * Time-Frequency Spectra of Music (J S Walker & A J Potts) * Dynamics of Spectra of Toeplitz Operators (S Grudsky & N Vasilevski) * On Sets of Range Uniqueness for Entire Functions (M T Alzugaray) * Conjectures and Counterexamples in Dynamics of Rational Semigroups (R Stankewitz et al.) * and other papers
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 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 | 0.002 | 0.002 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.002 | 0.004 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.004 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.099 | 0.032 |
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".