{"id":"W2066635183","doi":"10.5539/jmr.v4n4p51","title":"Toeplitz Operators on the Super-sphere of Dimension $(2\\mid 2)$","year":2012,"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":"Toeplitz matrix; Mathematics; Toeplitz operator; Dimension (graph theory); Homogeneous; Operator (biology); Bergman space; Pure mathematics; Space (punctuation); Algebra over a field; Mathematical analysis; Combinatorics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.01300572,0.0001676381,0.0004861946,0.0001889239,0.000255813,0.00006152152,0.0006632333,0.0001294901,0.001013501],"category_scores_gemma":[0.003691862,0.00008840937,0.0001907136,0.0003526409,0.000337462,0.0001914557,0.0001671528,0.0009618577,0.0001326411],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009838757,"about_ca_system_score_gemma":0.0001946645,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003535174,"about_ca_topic_score_gemma":0.000001478906,"domain_scores_codex":[0.996165,0.0006914027,0.0008684004,0.00009677767,0.001677038,0.0005013391],"domain_scores_gemma":[0.9937371,0.004269446,0.000311882,0.0006050486,0.0008551793,0.000221321],"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":[0.00015382,0.002907028,0.0009384179,0.0005963225,0.0002607494,0.00003417536,0.01800673,0.00001232906,0.0308312,0.8933899,0.05206714,0.0008021842],"study_design_scores_gemma":[0.002683077,0.002671326,0.0004695528,0.003113542,0.0002248109,0.0007102489,0.06581131,0.0004673762,0.4212735,0.4832928,0.01853419,0.0007481731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9912271,0.0003779826,0.0003040687,0.0007444553,0.000254802,0.0002819147,0.000004870937,0.00000838663,0.006796378],"genre_scores_gemma":[0.9931369,0.00007227186,0.005526115,0.00005649246,0.0003461103,0.000006085542,2.538194e-7,0.00004504599,0.0008107049],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4100971,"threshold_uncertainty_score":0.9998997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2273213430759072,"score_gpt":0.4276939184685711,"score_spread":0.2003725753926638,"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."}}