{"id":"W2105018637","doi":"10.2172/964412","title":"Solution to Monthly Problem #11418","year":2009,"lang":"en","type":"report","venue":"","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Infinity; Hyperbolic function; Mathematics; Combinatorics; Physics; Humanities; Philosophy; Mathematical analysis","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","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001177272,0.000371519,0.0007811162,0.0002132574,0.0001065469,0.00007829243,0.0002321344,0.0004530056,0.003466204],"category_scores_gemma":[0.001228177,0.0002838265,0.000279303,0.0002056276,0.00001738389,0.0000514469,0.00008826533,0.0003052924,0.001067695],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002953353,"about_ca_system_score_gemma":0.000452326,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002189189,"about_ca_topic_score_gemma":0.0001382874,"domain_scores_codex":[0.9974359,0.00004578201,0.0008775408,0.000413252,0.0008144712,0.0004130636],"domain_scores_gemma":[0.9980624,0.000307239,0.0002544981,0.0007313885,0.0004164174,0.0002280395],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000006299051,0.0001498516,0.000001177733,0.0004548575,0.00005146171,0.000004163278,0.00005558441,0.00000220752,0.00002321233,0.03318929,0.9581879,0.007873947],"study_design_scores_gemma":[0.00008817029,0.0001459408,0.000009613273,0.0003943685,0.0001460072,0.00002450974,0.00001305992,0.00004723057,0.0001032124,0.1880337,0.8106081,0.0003860526],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00007406591,0.0001110283,0.02663783,0.001048148,0.0005703442,0.001114894,0.0000535434,0.0003323186,0.9700578],"genre_scores_gemma":[0.000775043,0.00009691837,0.2564878,0.000425031,0.00167097,0.0002257941,0.00007571815,0.0001200087,0.7401227],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2299351,"threshold_uncertainty_score":0.9999614,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1091274399372002,"score_gpt":0.3646933300850385,"score_spread":0.2555658901478383,"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."}}