{"id":"W1597506788","doi":"","title":"Multiple Solutions on a Ball for a Generalized Lane Emden Equation","year":2008,"lang":"en","type":"article","venue":"ScholarWorks - UNO (University of New Orleans)","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Schulich School of Medicine and Dentistry","keywords":"Ball (mathematics); Mathematics; Applied mathematics; Mathematical analysis; Calculus (dental); Medicine","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003360332,0.0001730478,0.0003453878,0.0002070024,0.0006335708,0.00001784741,0.0003477016,0.0001737307,0.0002860251],"category_scores_gemma":[0.001070209,0.0002001003,0.0002719732,0.0003961576,0.000104107,0.0003113559,0.00008661948,0.0002842841,0.0000539905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001263706,"about_ca_system_score_gemma":0.0001179266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003694255,"about_ca_topic_score_gemma":0.0003158958,"domain_scores_codex":[0.9986596,0.0001803385,0.0002155306,0.0003064614,0.0003202794,0.0003178299],"domain_scores_gemma":[0.998226,0.0008108319,0.0002241874,0.0004049005,0.0001507452,0.0001832698],"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":[0.004157366,0.004600312,0.003275843,0.000533558,0.001789587,0.00006375375,0.02233384,0.003478821,0.03661991,0.5664147,0.105752,0.2509803],"study_design_scores_gemma":[0.02043994,0.001349384,0.01624233,0.0004236916,0.001304553,0.0000314463,0.002751301,0.05170188,0.001318739,0.8509159,0.05188147,0.00163937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1340491,0.0000340004,0.8634846,0.000809462,0.0001529699,0.0005584526,0.0000644519,0.0001324926,0.0007144585],"genre_scores_gemma":[0.2298092,0.00004830429,0.7628726,0.00008453817,0.0001243384,0.000002812146,0.00009173258,0.00003807264,0.006928359],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2845012,"threshold_uncertainty_score":0.8159854,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2518122273096281,"score_gpt":0.325263189877823,"score_spread":0.07345096256819489,"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."}}