{"id":"W2896217906","doi":"10.37236/8261","title":"Bijections between Łukasiewicz Walks and Generalized Tandem Walks","year":2020,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Bijection, injection and surjection; Tandem; Mathematics; Combinatorics; Bijection; Engineering","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":[0.0006951785,0.0006103221,0.000620886,0.00127054,0.001690206,0.002315563,0.001570177,0.001199639,0.008628624],"category_scores_gemma":[0.003379695,0.0005134869,0.001021235,0.001965247,0.001611815,0.00557016,0.001500204,0.001379303,0.001122831],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001148626,"about_ca_system_score_gemma":0.0004645417,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001279354,"about_ca_topic_score_gemma":0.001481949,"domain_scores_codex":[0.9988759,0.0003332966,0.00006826047,0.0002647804,0.000267155,0.0001905051],"domain_scores_gemma":[0.9982858,0.0006701825,0.0003154949,0.0003025376,0.0002014862,0.0002244494],"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":[0.00006676991,0.00004498548,0.0007696581,0.00007310155,0.00001776466,0.0001432873,0.0004057348,0.009284005,0.001844765,0.9745384,0.001238929,0.01157271],"study_design_scores_gemma":[0.00003121038,0.00005999491,0.0004162717,0.00003079944,0.00001634871,0.0003993854,0.0002766301,0.03959284,0.001252295,0.9490842,0.008799984,0.00004011323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6439184,0.001205922,0.2780721,0.0010009,0.0001765096,0.0001272623,0.0005035119,0.0005822284,0.07441317],"genre_scores_gemma":[0.92019,0.000801687,0.0497512,0.0003295882,0.0001393881,0.0002495833,0.0005214806,0.0002565121,0.02776056],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008628624,"threshold_uncertainty_score":0.02886564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04996640571233362,"score_gpt":0.3045035864429144,"score_spread":0.2545371807305807,"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."}}