{"id":"W2347782603","doi":"","title":"The Induced Quarter Symmetric Metric on Submanifold","year":2001,"lang":"en","type":"article","venue":"Journal of Jimei University Natural Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Submanifold; Quarter (Canadian coin); Mathematics; Metric (unit); Connection (principal bundle); Combinatorics; Pure mathematics; Geometry; Engineering; Geography; Operations management","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.0002298227,0.0003786242,0.0003910864,0.001186423,0.0006689984,0.0009444787,0.0003906128,0.0003864508,0.00380183],"category_scores_gemma":[0.0005486177,0.0001580647,0.0002833018,0.0003590012,0.0007856274,0.001823175,0.00107015,0.0004466473,0.0003070345],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007600363,"about_ca_system_score_gemma":0.0005467268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000595219,"about_ca_topic_score_gemma":0.0004084718,"domain_scores_codex":[0.9997002,0.00004019226,0.00001931123,0.00008194334,0.00009947366,0.00005884459],"domain_scores_gemma":[0.9995928,0.00001986012,0.00008812865,0.00003966542,0.0001268308,0.0001326606],"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":[0.0000892513,0.00002738088,0.002384341,0.00009063528,0.0000166074,0.0004778385,0.000215641,0.002536565,0.02656652,0.9462332,0.001721034,0.01964095],"study_design_scores_gemma":[0.00003116652,0.0005884884,0.01352946,0.00004459467,0.00002468473,0.003232751,0.0007227662,0.06663406,0.01626526,0.8729683,0.02587537,0.00008314903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8214542,0.0007366511,0.1375295,0.0008782496,0.000566182,0.00008986443,0.0004835406,0.000301175,0.03796063],"genre_scores_gemma":[0.9716741,0.0003819219,0.01351141,0.0001691281,0.0001728717,0.00005067469,0.0003309769,0.00007195075,0.01363711],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00380183,"threshold_uncertainty_score":0.01271838,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02294513985894452,"score_gpt":0.2604492366304898,"score_spread":0.2375040967715453,"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."}}