{"id":"W3080502369","doi":"10.1007/s00283-021-10058-w","title":"The-Square-and-Add Markov Chain","year":2021,"lang":"en","type":"article","venue":"The Mathematical Intelligencer","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Markov chain; Finite field; Galois theory; Chain (unit); Markov process; Field (mathematics)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.002954229,0.000762663,0.001465324,0.001148142,0.001593741,0.00278476,0.002226719,0.002328007,0.01784336],"category_scores_gemma":[0.01916061,0.0007184367,0.001087913,0.001239537,0.00414983,0.004800944,0.002499153,0.003428485,0.002351431],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00170867,"about_ca_system_score_gemma":0.002426212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005174634,"about_ca_topic_score_gemma":0.005334735,"domain_scores_codex":[0.9981639,0.0007415979,0.00006836675,0.0003910571,0.0003651963,0.0002698467],"domain_scores_gemma":[0.9866639,0.00962476,0.000431024,0.001456827,0.001302259,0.0005211607],"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":[0.00006799578,0.00003497794,0.000572716,0.00003550915,0.0000155588,0.0000727484,0.00007125332,0.03790207,0.0001857169,0.9478188,0.003015498,0.01020705],"study_design_scores_gemma":[0.00003068491,0.00001809379,0.0001315071,0.00001488177,0.00001314175,0.00004939668,0.00002057264,0.3672307,0.0002667677,0.6303309,0.001870713,0.00002275291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0373194,0.0004708829,0.9274553,0.00259772,0.0004710599,0.0001434797,0.0005704339,0.0005209855,0.03045079],"genre_scores_gemma":[0.7628263,0.001062914,0.1790918,0.001190992,0.000529374,0.0004232691,0.0006633806,0.0001689237,0.05404303],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01784336,"threshold_uncertainty_score":0.05969203,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09580324888480413,"score_gpt":0.3793122009293051,"score_spread":0.283508952044501,"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."}}