{"id":"W2020949937","doi":"10.1070/sm2002v193n04abeh000644","title":"Conditions for the non-negativity of integral quadratic forms with constant coefficients on a half-axis","year":2002,"lang":"en","type":"article","venue":"Sbornik Mathematics","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Constant (computer programming); Negativity effect; Quadratic equation; Ode; Integrable system; Mathematical analysis; Connection (principal bundle); Constant coefficients; Applied mathematics; Geometry; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"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":[0.002068161,0.0009074814,0.0008191196,0.001745287,0.001216539,0.00198648,0.001478838,0.001278689,0.00497037],"category_scores_gemma":[0.009963466,0.0005309932,0.0005796357,0.0005955529,0.003489267,0.003255984,0.002153255,0.002036319,0.000808837],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00078486,"about_ca_system_score_gemma":0.0008044733,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006202199,"about_ca_topic_score_gemma":0.0005196629,"domain_scores_codex":[0.9989873,0.0002200917,0.00006556442,0.0002184774,0.0003259809,0.0001826286],"domain_scores_gemma":[0.9945107,0.002810125,0.0006883352,0.0002691041,0.001093152,0.0006285812],"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":[0.0001202852,0.00003498982,0.000966355,0.0001073452,0.00001461377,0.0004603294,0.0002496086,0.006388668,0.01491808,0.9694633,0.001060865,0.006215568],"study_design_scores_gemma":[0.00006997885,0.0001983796,0.002123399,0.00009049943,0.00002902888,0.001399785,0.0004254527,0.1758834,0.01240656,0.8017257,0.005533312,0.000114552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4256365,0.001084318,0.5106221,0.001380496,0.0003531794,0.0001074546,0.0002737484,0.0002163857,0.06032583],"genre_scores_gemma":[0.9564084,0.0005159846,0.03332598,0.0001760128,0.0001664275,0.0001697483,0.0002436476,0.0001384138,0.008855488],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00497037,"threshold_uncertainty_score":0.01662755,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06165225504300748,"score_gpt":0.3003876896859566,"score_spread":0.2387354346429491,"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."}}