{"id":"W2001315487","doi":"10.4153/cmb-2011-076-x","title":"Similarity and Coincidence Isometries for Modules","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Coincidence; Modulo; Prime (order theory); Abelian group; Similarity (geometry); Group (periodic table); Dimension (graph theory); Pure mathematics; Discrete mathematics; Combinatorics; Image (mathematics)","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":[0.0007478972,0.0003268213,0.0004626708,0.001665658,0.001003687,0.001651064,0.0004250021,0.0005190052,0.004205318],"category_scores_gemma":[0.001928538,0.0002143706,0.000556656,0.0007642563,0.002919998,0.002534434,0.001814978,0.0007980273,0.0004803991],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000675488,"about_ca_system_score_gemma":0.0004443708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004857219,"about_ca_topic_score_gemma":0.0002653391,"domain_scores_codex":[0.9989748,0.0001771726,0.0000642195,0.0002911423,0.0002901079,0.0002026307],"domain_scores_gemma":[0.9987149,0.0002333247,0.0003538785,0.0001767735,0.0002322631,0.0002888989],"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":[0.00006428539,0.00002659038,0.00120799,0.00002260133,0.000009403308,0.000209795,0.0005310144,0.0004873643,0.003311212,0.9861114,0.0003262789,0.007692046],"study_design_scores_gemma":[0.00003095181,0.0001639319,0.002139991,0.0000150706,0.000009772271,0.0004866992,0.0004459142,0.004002997,0.003697181,0.9833269,0.005656067,0.00002470658],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9209261,0.0002924966,0.04448773,0.0004248253,0.0001005966,0.00005453392,0.0001129581,0.0001090919,0.03349179],"genre_scores_gemma":[0.9884348,0.000115332,0.0058055,0.00005795228,0.000100333,0.0000303488,0.0001195095,0.00001876416,0.005317512],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004205318,"threshold_uncertainty_score":0.01406819,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03843526787624695,"score_gpt":0.2122871894905193,"score_spread":0.1738519216142723,"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."}}