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Record W2115189001 · doi:10.1553/sunda2007ssii3

On Some Functional Equations Involving Involutions

2008· article· de· W2115189001 on OpenAlexaff
Andrzej Mach

Bibliographic record

VenueSitzungsberichte und Anzeiger · 2008
Typearticle
Languagede
FieldMathematics
TopicNumerical methods for differential equations
Canadian institutionsDiscovery Air (Canada)
Fundersnot available
KeywordsInvariant (physics)Quadratic equationMathematical physicsMathematicsPhysicsGeometry

Abstract

fetched live from OpenAlex

Inhalt: W. SCHRÖDER: Über die wissenschaftliche Beziehungen von Hans Ertel und Heinrich Ficker A. MACH – Z. MOSZNER: On Some Functional Equations Involving Involutions L. CĂDARIU – V. RADU: Remarks on the Stability of a Functional Equation of Quadratic Type I. CHAJDA – H. LÄNGER: Generalizations of Implication Algebras F. PASCHKE: Reliable Estimates of Planetary and Solar Magnetic Fields – A Case for Abundance of Hydrogen in the Earth's Core F. SCHWEIGER: The Invariant Measure for the Two-Dimensional Parry-Daniels Map H. HAUPT – G. HAHN: Kleine Planeten, deren Namen einen Österreichbezug aufweisen (II) P. STEINHAUSER: Zur Kombinationswirkung von Schall und Erschütterungen

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 imitation

Not 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.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.004
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.009
Threshold uncertainty score0.030

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.004
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.001
Science and technology studies0.0010.002
Scholarly communication0.0010.003
Open science0.0010.002
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0090.001

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.

Opus teacher head0.104
GPT teacher head0.325
Teacher spread0.222 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

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".

Quick stats

Citations2
Published2008
Admission routes1
Has abstractyes

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