{"id":"W3017213921","doi":"10.1007/978-3-030-63591-6_7","title":"Exploring Tetris as a Transformation Semigroup","year":2021,"lang":"en","type":"preprint","venue":"Springer proceedings in mathematics & statistics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Iterated function; Simple (philosophy); Semigroup; Group (periodic table); Mathematics; Transformation (genetics); Abelian group; Mathematical economics; Computer science; Pure mathematics","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":[0.0005465166,0.0004283128,0.0005540956,0.0007429658,0.001183696,0.002632799,0.0008049119,0.0009492004,0.01546593],"category_scores_gemma":[0.001804271,0.000366216,0.0009271221,0.0006762072,0.002573661,0.00432093,0.001796309,0.001655656,0.001645384],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009259753,"about_ca_system_score_gemma":0.0005994553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001026362,"about_ca_topic_score_gemma":0.0007487558,"domain_scores_codex":[0.999644,0.0001225454,0.00001581705,0.00008164911,0.00007488865,0.00006108497],"domain_scores_gemma":[0.9990562,0.0005342405,0.00007169011,0.0001370907,0.00009265851,0.0001081506],"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":[0.00001200562,0.000005813517,0.00006757372,0.000009165766,0.000001919837,0.00004940608,0.000149032,0.001019046,0.0005238226,0.9952408,0.0002643283,0.002657166],"study_design_scores_gemma":[0.000006677817,0.00001318771,0.00003622512,0.000004424362,0.000002601196,0.00006159769,0.0001221917,0.0114101,0.0003537239,0.9844195,0.003565422,0.000004332618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1829963,0.000825273,0.6375517,0.00307954,0.0003467764,0.00005891307,0.000267561,0.0008365035,0.1740375],"genre_scores_gemma":[0.904441,0.0004796258,0.0561408,0.0002442167,0.000175088,0.00006060263,0.0002205002,0.0003376783,0.03790048],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01546593,"threshold_uncertainty_score":0.05173862,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05983721058332027,"score_gpt":0.2700975206047596,"score_spread":0.2102603100214393,"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."}}