{"id":"W4409895574","doi":"10.71352/ac.52.093","title":"On an open question regarding generalized number systems in Euclidean spaces","year":2021,"lang":"en","type":"article","venue":"Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Euclidean geometry; Mathematics; Pure mathematics; Algebra over a field; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001828689,0.0006044657,0.001056621,0.001193993,0.002427962,0.003559035,0.001816694,0.003122913,0.01166959],"category_scores_gemma":[0.008473297,0.000252314,0.0009198087,0.002067945,0.006039894,0.0128162,0.003430848,0.003360901,0.001207882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001118979,"about_ca_system_score_gemma":0.0006491356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001219642,"about_ca_topic_score_gemma":0.0007764939,"domain_scores_codex":[0.9988249,0.0004176087,0.00005166656,0.000290489,0.000227721,0.0001875506],"domain_scores_gemma":[0.9945984,0.003739311,0.0003853101,0.0004279205,0.0005893983,0.0002596818],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001930768,0.00001168961,0.0001300998,0.0001121169,0.00000660915,0.00007804868,0.0002083759,0.0007414819,0.00017157,0.9902723,0.003019447,0.005228959],"study_design_scores_gemma":[0.000005066964,0.000007510624,0.0000882838,0.0000153796,0.00000284624,0.00005062402,0.0001839082,0.0007857866,0.0000599676,0.9945934,0.0042017,0.00000554372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2512572,0.0171203,0.3519048,0.1343998,0.005122618,0.0001259498,0.0008916555,0.0005377168,0.2386401],"genre_scores_gemma":[0.9007475,0.01149413,0.04335196,0.008697592,0.006910552,0.0001612863,0.0008354096,0.0001549009,0.02764673],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01166959,"threshold_uncertainty_score":0.0390386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03074830401066668,"score_gpt":0.3098251951675203,"score_spread":0.2790768911568536,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}