{"id":"W4235012595","doi":"10.1090/conm/618/12351","title":"A Note on the Lambert 𝑊-Function: Applications in the Mathematical and Physical Sciences","year":2014,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Experimental and Theoretical Physics Studies","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Mathematical sciences; Physical science; Function (biology); Algebra over a field; Calculus (dental); Mathematics education; Pure mathematics; Biology","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","sts"],"consensus_categories":[],"category_scores_codex":[0.0007222774,0.0006233834,0.001000744,0.00004673911,0.0004111021,0.0001646854,0.0007212259,0.00008694173,0.0005079081],"category_scores_gemma":[0.00004330902,0.0003125381,0.0004422383,0.0004921306,0.00368163,0.00004821549,0.0002593221,0.0006202445,0.0003799759],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002456307,"about_ca_system_score_gemma":0.00005351785,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003008763,"about_ca_topic_score_gemma":7.950069e-7,"domain_scores_codex":[0.9975987,0.0001950973,0.0005198078,0.0005686065,0.0006696126,0.0004481839],"domain_scores_gemma":[0.9954835,0.003185813,0.0004430778,0.000754078,0.0000253313,0.0001082134],"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":[0.00000297025,0.0008736472,0.00003266988,0.0001676703,0.0001419314,3.756737e-7,0.004055658,5.247563e-7,0.000006690692,0.9531676,0.0413871,0.0001632031],"study_design_scores_gemma":[0.0002203583,0.0001805936,0.000004856653,0.0003741921,0.00009883125,0.000001455202,0.01224688,0.002394732,0.00001521364,0.9733484,0.01069614,0.000418335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0004835443,0.0001151096,0.02696193,0.00180747,0.00002665654,0.001474325,0.00005049339,0.000102553,0.9689779],"genre_scores_gemma":[0.9665611,0.00001908893,0.005661158,0.001735508,0.001240705,0.001963929,0.00004141303,0.0004387053,0.02233836],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9660776,"threshold_uncertainty_score":0.9999326,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01913759442840774,"score_gpt":0.2847919743388982,"score_spread":0.2656543799104905,"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."}}