{"id":"W2143653091","doi":"10.1007/s00605-014-0646-y","title":"On cycles for the doubling map which are disjoint from an interval","year":2014,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Disjoint sets; Interval (graph theory); Integer (computer science); Set (abstract data type); Constant (computer programming)","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":[],"consensus_categories":[],"category_scores_codex":[0.001073314,0.0003763361,0.0005089276,0.00009651898,0.0005951407,0.000173983,0.0008372858,0.0001706823,0.0002450125],"category_scores_gemma":[0.001147133,0.000225196,0.0002641417,0.000114987,0.0001076203,0.0001646175,0.0002125886,0.0003310474,0.00003231945],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003971473,"about_ca_system_score_gemma":0.0000118286,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002038276,"about_ca_topic_score_gemma":0.00007926133,"domain_scores_codex":[0.9979842,0.0001500326,0.0005459989,0.0004878972,0.0004200009,0.0004118558],"domain_scores_gemma":[0.9944531,0.003690061,0.0003716827,0.001224361,0.0001448681,0.0001159248],"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":[0.0001328859,0.0001702458,0.0000746529,0.0001930997,0.0001356763,0.000001361524,0.003560171,0.0000893078,0.0000942219,0.9850954,0.005585812,0.004867198],"study_design_scores_gemma":[0.0006146869,0.0001290591,0.000671544,0.0002152636,0.00009053948,0.000003748775,0.0008556155,0.01526987,0.0009196093,0.9775633,0.003346677,0.0003201249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8676347,0.0002428009,0.1201826,0.002866349,0.001663631,0.001386854,0.0001979557,0.0004739155,0.005351191],"genre_scores_gemma":[0.9816917,0.000007252242,0.01640881,0.0006095932,0.0005739975,0.0001591747,0.00002233838,0.0001068946,0.0004202958],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.114057,"threshold_uncertainty_score":0.9183226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04301246350305047,"score_gpt":0.3363109990841602,"score_spread":0.2932985355811097,"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."}}