{"id":"W4409829686","doi":"10.1177/10812865251326618","title":"Intrinsic structure of the cotangent bundle of a locally Euclidean differential space","year":2025,"lang":"lv","type":"article","venue":"Mathematics and Mechanics of Solids","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Cotangent bundle; Mathematics; Mathematical analysis; Space (punctuation); Differential (mechanical device); Pure mathematics; Euclidean space; Euclidean geometry; Bundle; Trigonometric functions; Geometry; Physics; 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":[0.0004739311,0.0008988437,0.0004505446,0.002015078,0.0008687733,0.001783474,0.0005197763,0.000502723,0.009547555],"category_scores_gemma":[0.001028236,0.0002485325,0.0005457009,0.0009482593,0.00172173,0.002132619,0.001252609,0.001169229,0.001660487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001335534,"about_ca_system_score_gemma":0.0006457939,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001704835,"about_ca_topic_score_gemma":0.001182011,"domain_scores_codex":[0.9993,0.000111723,0.00003279337,0.0002152278,0.0002347205,0.0001055732],"domain_scores_gemma":[0.9993591,0.0000535779,0.000125972,0.00005420998,0.000225617,0.000181552],"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":[0.00003006127,0.00001755761,0.0008681036,0.0000683752,0.00001727433,0.0003294591,0.0005294792,0.001593313,0.004116721,0.9785755,0.001553436,0.01230064],"study_design_scores_gemma":[0.00002843337,0.0004564243,0.008198762,0.00006240032,0.00003594301,0.001971585,0.000825778,0.03635902,0.006163891,0.8876914,0.05810376,0.0001026028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6201739,0.002139751,0.2362193,0.001166335,0.0008930789,0.0001110683,0.0006987623,0.0005474845,0.1380502],"genre_scores_gemma":[0.9204173,0.0009820873,0.02286135,0.000216849,0.0004199352,0.00004794166,0.0006077204,0.0002284729,0.05421841],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009547555,"threshold_uncertainty_score":0.0319398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0108002533443022,"score_gpt":0.2386654477047224,"score_spread":0.2278651943604202,"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."}}