{"id":"W4382490845","doi":"10.46298/cm.11527","title":"Center of Mass Technique and Affine Geometry","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Center (category theory); Geometry; Center of mass (relativistic); Affine transformation; Mathematics; Space (punctuation); Field (mathematics); Affine space; Physics; Pure mathematics; Classical mechanics; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001427146,0.001203602,0.0008792036,0.003631676,0.001596081,0.002304433,0.001647413,0.00114394,0.005881392],"category_scores_gemma":[0.002479242,0.0003481501,0.0009599806,0.002630479,0.005814491,0.004713517,0.003369551,0.003415808,0.001378226],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0017389,"about_ca_system_score_gemma":0.0005050038,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009824899,"about_ca_topic_score_gemma":0.0004902388,"domain_scores_codex":[0.9988557,0.0003720023,0.00005354673,0.0002652848,0.0003349688,0.0001185124],"domain_scores_gemma":[0.9990551,0.000271321,0.0001973744,0.0001753234,0.0001804826,0.0001205212],"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":[0.000004710661,0.000002359284,0.0000463898,0.00001586817,0.000002973624,0.00001675783,0.00007727974,0.000274215,0.0002640482,0.9952676,0.0005664082,0.003461417],"study_design_scores_gemma":[0.000006309453,0.0000318346,0.0001745669,0.00001900236,0.000006164847,0.0001191383,0.0000708076,0.003377106,0.0004453989,0.9796298,0.01610762,0.00001221887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04644912,0.01058222,0.8257722,0.003165218,0.001403219,0.00010106,0.0004212676,0.000562645,0.1115431],"genre_scores_gemma":[0.7600001,0.00761228,0.1948522,0.0009427747,0.003899997,0.0002775935,0.0004800423,0.0004596456,0.03147528],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005881392,"threshold_uncertainty_score":0.01967525,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08381309061187092,"score_gpt":0.3854341243134861,"score_spread":0.3016210337016151,"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."}}