{"id":"W1995395314","doi":"10.1119/1.3553231","title":"Duality of force laws and conformal transformations","year":2011,"lang":"en","type":"article","venue":"American Journal of Physics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Covariant transformation; Conformal map; Duality (order theory); Gaussian curvature; Generalization; Curvature; Ellipse; Differential geometry; Transformation (genetics)","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":[0.0009042309,0.0004349076,0.0003851716,0.001476254,0.001009474,0.002283589,0.00056696,0.001014907,0.005249361],"category_scores_gemma":[0.001909736,0.0002596096,0.0006406405,0.0005639857,0.004900225,0.00321166,0.001722676,0.001620298,0.0008076221],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001113898,"about_ca_system_score_gemma":0.0004834706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007294877,"about_ca_topic_score_gemma":0.0003106878,"domain_scores_codex":[0.9991323,0.0002157383,0.00003852971,0.0001806681,0.0003024663,0.0001303998],"domain_scores_gemma":[0.9992778,0.0001620896,0.0001393636,0.0001059772,0.0001944736,0.000120319],"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":[0.000002701392,0.000004933981,0.00003702043,0.000004271385,8.77745e-7,0.00002553882,0.00007971027,0.0001313152,0.000319711,0.9979135,0.0002160226,0.001264335],"study_design_scores_gemma":[0.00001145189,0.0000230953,0.0002720629,0.0000079644,0.000001689167,0.0001708966,0.00007104274,0.002376618,0.0004731616,0.9869558,0.009628308,0.000007973359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.260993,0.002504651,0.3435885,0.005319015,0.001097374,0.0001194935,0.0002914811,0.0003611853,0.3857253],"genre_scores_gemma":[0.9210008,0.00142992,0.03257868,0.001351812,0.001144276,0.0001286975,0.0001614473,0.0002020711,0.04200231],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005249361,"threshold_uncertainty_score":0.01756084,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06654934727217188,"score_gpt":0.3124906308338108,"score_spread":0.245941283561639,"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."}}