{"id":"W1809103853","doi":"10.37236/356","title":"Winning Positions in Simplicial Nim","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Artificial Intelligence in Games","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Mathematics; Simplicial complex; Generalization; Combinatorics; Abstract simplicial complex; Simplicial approximation theorem; Face (sociological concept); h-vector; Simplicial manifold; Simplicial homology; Simplicial set; 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":[0.002065865,0.0006948691,0.001128777,0.001670093,0.004152592,0.006183035,0.002344803,0.0022872,0.01022214],"category_scores_gemma":[0.007864084,0.0006907188,0.001126603,0.001021301,0.006035865,0.007630972,0.007455934,0.002840586,0.001549541],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002074594,"about_ca_system_score_gemma":0.001028277,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001318323,"about_ca_topic_score_gemma":0.001463377,"domain_scores_codex":[0.9966688,0.000762358,0.0002281945,0.0006348726,0.000962102,0.0007436044],"domain_scores_gemma":[0.9953998,0.002213794,0.0004102718,0.0005419465,0.0005559454,0.0008782322],"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":[0.00004773348,0.00001539376,0.0002064322,0.00002394959,0.000008619105,0.00007882419,0.0003777207,0.001152357,0.0007274271,0.9943193,0.0002824165,0.002759898],"study_design_scores_gemma":[0.00002123088,0.0000238728,0.0001665471,0.00001610783,0.00000986731,0.0001045396,0.0002859391,0.008005708,0.001111528,0.9850581,0.005174477,0.00002210054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5387416,0.0007603581,0.2467246,0.001673349,0.0002328059,0.0002040466,0.0005150633,0.0004886386,0.2106595],"genre_scores_gemma":[0.956873,0.0001939162,0.02651019,0.0002317361,0.00004614324,0.0001479644,0.0002707637,0.000131937,0.01559437],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01022214,"threshold_uncertainty_score":0.03419644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007879893342489633,"score_gpt":0.2623076644510787,"score_spread":0.2544277711085891,"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."}}