{"id":"W2963088540","doi":"10.37236/2678","title":"Partitions and Compositions over Finite Fields","year":2013,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Finite field; Order (exchange); Field (mathematics); Combinatorics; Finite set; Algebraic number field; Finite element method; Discrete mathematics; Pure mathematics; Mathematical analysis; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008352777,0.0005132557,0.0005994839,0.001865709,0.002090886,0.00209286,0.0006201398,0.0007141063,0.00593414],"category_scores_gemma":[0.002915487,0.0003971645,0.0005803054,0.0009572392,0.003082791,0.004719888,0.002324108,0.001317049,0.0005655742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001558244,"about_ca_system_score_gemma":0.0004606143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006960469,"about_ca_topic_score_gemma":0.0007590931,"domain_scores_codex":[0.998992,0.0001693684,0.00005654384,0.0002272924,0.0003416301,0.0002130613],"domain_scores_gemma":[0.998475,0.0006670174,0.0002828293,0.0001531067,0.0001400677,0.0002819954],"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":[0.0002217207,0.00004121346,0.002395931,0.0001046162,0.00001512098,0.0002458786,0.0008580686,0.00445446,0.009055525,0.9645213,0.0006639031,0.01742236],"study_design_scores_gemma":[0.0000401709,0.00007321811,0.001866229,0.00005994872,0.00003031279,0.0006175498,0.0006383162,0.02180506,0.008336045,0.9569336,0.009563713,0.0000357949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8921905,0.001157102,0.07146265,0.00072905,0.0001677928,0.0000663399,0.0001861567,0.0002552888,0.03378503],"genre_scores_gemma":[0.9699782,0.0005804502,0.01853907,0.00009655773,0.0001877139,0.00007159157,0.000255086,0.00009390488,0.01019751],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00593414,"threshold_uncertainty_score":0.01985168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005151596893328243,"score_gpt":0.2017991578615082,"score_spread":0.1966475609681799,"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."}}