{"id":"W3070557924","doi":"10.5539/jmr.v12n5p15","title":"The Minimum Numbers for Certain Positive Operators","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Infimum and supremum; Mathematics; Combinatorics; Ampere; Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.003298255,0.001158637,0.000834033,0.001845063,0.001159892,0.002293816,0.001505034,0.001250056,0.0052341],"category_scores_gemma":[0.02114121,0.0006411087,0.0007984331,0.0006794546,0.003749852,0.005021381,0.002163369,0.003296,0.000779668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001277119,"about_ca_system_score_gemma":0.0007459707,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002992957,"about_ca_topic_score_gemma":0.0003080545,"domain_scores_codex":[0.9982901,0.0004641322,0.0001068536,0.0003902054,0.0004770462,0.0002715466],"domain_scores_gemma":[0.9878721,0.00847031,0.001211458,0.0005860479,0.0008634358,0.0009966535],"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":[0.0002761125,0.00004543838,0.0008765108,0.0003832951,0.00002492417,0.0002295696,0.0003468048,0.009298054,0.01448914,0.9580855,0.002381086,0.01356343],"study_design_scores_gemma":[0.00004108554,0.0001496907,0.001295962,0.0001983022,0.00003480754,0.0007570481,0.000257411,0.1179752,0.01404964,0.8588054,0.006344126,0.00009128134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.260368,0.004905584,0.6429007,0.003444364,0.0004268804,0.00007027714,0.0003175799,0.0007945079,0.08677211],"genre_scores_gemma":[0.8882804,0.00150689,0.1007798,0.000446807,0.0003228742,0.0001708227,0.0002547808,0.0003766357,0.007861],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0052341,"threshold_uncertainty_score":0.01750976,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2060169303139775,"score_gpt":0.4436624943952336,"score_spread":0.2376455640812561,"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."}}