{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007694131,0.0001384768,0.0002854198,0.0002978471,0.00005835629,0.00004518789,0.0006305649,0.00008997282,0.00007048225],"category_scores_gemma":[0.0002938044,0.000124457,0.00005956081,0.0005688537,0.0001819474,0.00007372937,0.0003156135,0.000245729,0.0000144404],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003576126,"about_ca_system_score_gemma":0.00002885867,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002966518,"about_ca_topic_score_gemma":0.00001070455,"domain_scores_codex":[0.9988925,0.00004280718,0.00062587,0.000150299,0.0001456514,0.0001428254],"domain_scores_gemma":[0.9968111,0.001320231,0.0001193749,0.001650433,0.00006096521,0.00003792302],"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":[6.128002e-7,0.0004567148,0.00009897151,0.001636073,0.00002943273,9.287832e-7,0.001309528,7.010676e-7,0.003510932,0.9894435,0.001913042,0.001599568],"study_design_scores_gemma":[0.0001378046,0.00001582045,0.00002226457,0.0009949829,0.00004030788,0.00003043021,0.000482557,0.0149309,0.001707559,0.9704339,0.01103221,0.0001712764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06392817,0.006247234,0.7299296,0.005846802,0.0001543652,0.004508428,0.0002607181,0.0008706256,0.1882541],"genre_scores_gemma":[0.3389779,0.0006276573,0.6592668,0.000009680794,0.0000112636,0.0003010426,0.00001002632,0.00003636618,0.0007591973],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2750497,"threshold_uncertainty_score":0.5075209,"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."}}