{"id":"W2950334206","doi":"10.48550/arxiv.0706.2449","title":"Transitive spaces of operators","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Transitive relation; Tensor product; Mathematics; Pure mathematics; Counterexample; Simple (philosophy); Product (mathematics); Operator (biology); Algebraic number; Tensor product of Hilbert spaces; Discrete mathematics; Combinatorics; Mathematical analysis; Tensor contraction; Geometry","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":[0.0009727919,0.000510272,0.0004057701,0.001300904,0.001407127,0.002032948,0.0006373665,0.000404666,0.005325561],"category_scores_gemma":[0.002713728,0.0002310225,0.0009948318,0.000757856,0.00305378,0.003921635,0.001982596,0.00124476,0.0004640991],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007960363,"about_ca_system_score_gemma":0.000431655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005601435,"about_ca_topic_score_gemma":0.0004415007,"domain_scores_codex":[0.9990621,0.0002160541,0.00007285478,0.0002497175,0.0002320449,0.0001672688],"domain_scores_gemma":[0.9974145,0.0009762634,0.00049816,0.0003539143,0.0003537871,0.0004034165],"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":[0.00001494738,0.00001266551,0.0003370393,0.00003198905,0.000007336349,0.00005231716,0.000308781,0.0005369143,0.001748571,0.9942211,0.0001956982,0.002532688],"study_design_scores_gemma":[0.000008860755,0.00007932824,0.000517385,0.0000186645,0.00001321269,0.0002677819,0.0002817679,0.008425547,0.002598284,0.9829974,0.004779101,0.00001255873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6666958,0.001359734,0.248714,0.00106353,0.0002526417,0.0001000125,0.0004823059,0.0002717987,0.08106003],"genre_scores_gemma":[0.9770379,0.0003394127,0.01635612,0.00007988438,0.0001144252,0.00004887721,0.000159456,0.00002688507,0.005837059],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005325561,"threshold_uncertainty_score":0.01781577,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0952807879538695,"score_gpt":0.3629377466747873,"score_spread":0.2676569587209178,"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."}}