{"id":"W4412435894","doi":"10.55016/ojs/cdm.v11i2.62576","title":"New combinatorial interpretations of some Rogers-Ramanujan type identities","year":2017,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Type (biology); Combinatorics; Combinatorial proof; Ramanujan's sum; Biology; Paleontology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001321002,0.0006011007,0.0004806519,0.00181957,0.001440077,0.002469258,0.001213814,0.0009904125,0.005616078],"category_scores_gemma":[0.00257136,0.0003364793,0.0009664973,0.001036782,0.00258249,0.003967136,0.001462824,0.001721241,0.0009421679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009509207,"about_ca_system_score_gemma":0.0006374734,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003440665,"about_ca_topic_score_gemma":0.0004718983,"domain_scores_codex":[0.9988165,0.000380004,0.00008234229,0.0001571838,0.0004169451,0.0001469929],"domain_scores_gemma":[0.9989993,0.0003205155,0.0001637858,0.000179973,0.0001971425,0.0001393581],"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":[0.000005069794,0.000006680956,0.00007607349,0.000009592898,0.00000170062,0.00006122857,0.0000787817,0.0003124118,0.0004333438,0.9967483,0.000308902,0.001957961],"study_design_scores_gemma":[0.000008177549,0.00001363221,0.0001537275,0.00001260103,0.000006792642,0.0003091467,0.00009080346,0.005330404,0.0008885417,0.9870659,0.006100117,0.00002018439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2786661,0.00132515,0.4141824,0.001457968,0.001152771,0.0001491511,0.0002833818,0.0003253803,0.3024577],"genre_scores_gemma":[0.8403853,0.0009353459,0.1122255,0.000627758,0.0007441414,0.0001915591,0.000176108,0.0001456924,0.04456851],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005616078,"threshold_uncertainty_score":0.01878762,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03294415499262443,"score_gpt":0.3803438902085196,"score_spread":0.3473997352158951,"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."}}