{"id":"W2160494352","doi":"10.46298/dmtcs.353","title":"Connectedness of number theoretical tilings","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Social connectedness; Mathematics; Degree (music); Combinatorics; Discrete mathematics; Matrix (chemical analysis); Affine transformation; 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":[0.00015987,0.0001985228,0.0002908117,0.00119844,0.0009689401,0.001586585,0.0003779999,0.0004265991,0.004896394],"category_scores_gemma":[0.001765299,0.0002562799,0.0003259839,0.0006163717,0.001789075,0.00105529,0.001011359,0.0004399721,0.0004064158],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004422828,"about_ca_system_score_gemma":0.0001627438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002898915,"about_ca_topic_score_gemma":0.000280597,"domain_scores_codex":[0.9997713,0.0000336665,0.00001934426,0.00007949796,0.0000522909,0.00004390478],"domain_scores_gemma":[0.9991964,0.0002957019,0.0001667952,0.0001245053,0.00008334786,0.0001332757],"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":[0.0001597239,0.00002841812,0.005123049,0.00009681258,0.00001744531,0.0004713926,0.000945357,0.0131979,0.01185948,0.9543354,0.0007212926,0.01304361],"study_design_scores_gemma":[0.00005233319,0.00009771161,0.00467085,0.00005037559,0.00002406687,0.0008331682,0.0005482766,0.04374949,0.008109802,0.9332961,0.008537469,0.00003036477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9561337,0.0002088617,0.02304808,0.0001127727,0.00002578159,0.00002026745,0.0001646093,0.0001119891,0.02017404],"genre_scores_gemma":[0.9929088,0.00009877209,0.004307718,0.00002143346,0.00001923524,0.00003328016,0.0002473994,0.00002591078,0.002337291],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004896394,"threshold_uncertainty_score":0.01638007,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01625733296930064,"score_gpt":0.3013194107869862,"score_spread":0.2850620778176856,"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."}}