{"id":"W4392666941","doi":"10.1007/978-3-031-42891-3_3","title":"Bands","year":2024,"lang":"en","type":"book-chapter","venue":"Synthesis lectures on mathematics and statistics","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Lattice (music); Mathematics; Pure mathematics; Condensed matter physics; Combinatorics; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001270042,0.0004219803,0.0004824667,0.0001724471,0.0001188503,0.0002728109,0.0004331119,0.0002204611,0.000152065],"category_scores_gemma":[0.0001493276,0.000316556,0.00008503833,0.00003376891,0.00009214321,0.00003863524,0.0001656003,0.0003792864,0.0002604146],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003379125,"about_ca_system_score_gemma":0.00004184341,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.216405e-7,"about_ca_topic_score_gemma":0.000003493438,"domain_scores_codex":[0.9985663,0.000006872813,0.0003329627,0.0004966364,0.00035994,0.0002373109],"domain_scores_gemma":[0.9978703,0.001243848,0.0001528255,0.0005730292,0.00005037798,0.0001096652],"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":[0.000001389373,0.00001236164,3.49682e-8,0.0002857956,0.00006085886,0.00008647145,0.0001510681,0.00001160631,0.000005112095,0.9485199,0.003730203,0.04713524],"study_design_scores_gemma":[0.00003106358,0.0000776222,6.96465e-7,0.000341931,0.00007535858,0.00003090844,0.00000311939,0.009189316,0.00007156904,0.9339337,0.0558894,0.0003553284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[9.80684e-7,0.001026233,0.6514398,0.0001827866,0.0002185782,0.0001302661,0.000197266,0.0001328572,0.3466712],"genre_scores_gemma":[0.001174062,0.001241572,0.677317,0.0004485651,0.0002158484,0.00002678189,0.00001620113,0.0001309103,0.319429],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0521592,"threshold_uncertainty_score":0.9999287,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01545044883395187,"score_gpt":0.2355534547501101,"score_spread":0.2201030059161582,"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."}}