{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003001746,0.0004587505,0.0009112576,0.0001672431,0.0002783013,0.000215097,0.001647438,0.0001767064,0.002698497],"category_scores_gemma":[0.001757048,0.0003369653,0.000293227,0.0008368942,0.007704386,0.0003377489,0.0007760641,0.0003840759,0.0002125756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005771647,"about_ca_system_score_gemma":0.0001083976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.443239e-7,"about_ca_topic_score_gemma":5.971252e-7,"domain_scores_codex":[0.995524,0.000108885,0.001283603,0.0007105605,0.001473498,0.0008994227],"domain_scores_gemma":[0.9949439,0.002460602,0.0003813382,0.001255454,0.0004977617,0.0004609792],"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":[0.00001473764,0.0004745713,0.00001629434,0.0002514365,0.0000261132,0.00000499281,0.001415787,0.000009495683,0.0006714088,0.994862,0.00007920109,0.002173982],"study_design_scores_gemma":[0.0002377862,0.0000660425,0.000007848338,0.0001608208,0.0000469599,0.00004777356,0.00007416443,0.3624915,0.002588819,0.6339532,0.0000415946,0.0002835803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2054767,0.00001188475,0.7401799,0.0007208194,0.0001751269,0.0004787858,0.00002209264,0.0001803348,0.05275439],"genre_scores_gemma":[0.6421705,0.000004484426,0.357504,0.0001185582,0.0001149524,0.00001323443,0.000002032767,0.00003950544,0.00003276599],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4366938,"threshold_uncertainty_score":0.9999082,"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."}}