{"id":"W2403933701","doi":"","title":"Bordered magic squares: elements for a comprehensive approach","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Magic square; Mathematics; MAGIC (telescope); Geometry; Astrophysics; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002300066,0.0001925065,0.0002250948,0.0001249366,0.0001731654,0.00007497253,0.0008097503,0.000076754,0.000009150678],"category_scores_gemma":[0.00003028781,0.0001802711,0.0001059818,0.0003713875,0.00005711592,0.0002456183,0.0002094197,0.0001083443,0.00005848913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002030619,"about_ca_system_score_gemma":0.00005005884,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004656522,"about_ca_topic_score_gemma":6.792783e-7,"domain_scores_codex":[0.9984456,0.00006121644,0.0003256006,0.0005048527,0.0002462146,0.0004164935],"domain_scores_gemma":[0.9986783,0.00006803142,0.0001346352,0.0007020055,0.0002799088,0.0001371628],"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":[0.00001446211,0.0002983573,0.0003984987,0.00003079806,0.00003592448,0.000002910787,0.0008633729,0.000003378749,0.0003640707,0.9896048,0.007487613,0.0008957933],"study_design_scores_gemma":[0.001892058,0.0002960287,0.0005885018,0.00001734503,0.00001396757,0.000006077735,0.00009524851,0.0134504,0.001243746,0.9799155,0.002210198,0.0002709347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8705001,0.001825436,0.08346469,0.0005695054,0.009634695,0.003495184,0.00003483802,0.002507939,0.02796765],"genre_scores_gemma":[0.8883523,0.000009379009,0.1109703,0.0004161255,0.000001312718,0.00008661601,0.00001299995,0.00001856415,0.0001324085],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02783524,"threshold_uncertainty_score":0.7351241,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05130015768727548,"score_gpt":0.2586767012124194,"score_spread":0.2073765435251439,"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."}}