{"id":"W3132283730","doi":"10.1002/qj.4005","title":"The fractional energy balance equation","year":2021,"lang":"en","type":"article","venue":"Quarterly Journal of the Royal Meteorological Society","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Forcing (mathematics); Energy balance; Scaling; Heat equation; Power law; Physics; Detailed balance; Relaxation (psychology); Statistical physics; Mathematics; Infinitesimal; Mathematical analysis; Thermodynamics","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":[0.0003921062,0.0005181738,0.0006098008,0.0006101284,0.0008189116,0.001693924,0.001033917,0.001641294,0.009416075],"category_scores_gemma":[0.001164762,0.0002509388,0.0007979912,0.0005225191,0.001380377,0.002381435,0.001455923,0.001851813,0.001017455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001237033,"about_ca_system_score_gemma":0.0009446974,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006262156,"about_ca_topic_score_gemma":0.002897464,"domain_scores_codex":[0.9996492,0.00005573125,0.00001762506,0.0001003085,0.0001152753,0.00006196481],"domain_scores_gemma":[0.9997639,0.0000657097,0.00004184194,0.00003000101,0.00007717681,0.0000213571],"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":[0.00001152935,0.00001307855,0.0004357968,0.00004522126,0.00001252105,0.0001009044,0.0001020262,0.03388124,0.001323287,0.9486991,0.00474805,0.01062725],"study_design_scores_gemma":[0.0000242172,0.00001820637,0.0008702512,0.00003362145,0.00001364782,0.0002257169,0.00007569697,0.2421292,0.0007332749,0.7126974,0.04313929,0.00003944143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07792997,0.003373713,0.5305034,0.01131914,0.002068746,0.0001108399,0.002609435,0.0003421617,0.3717426],"genre_scores_gemma":[0.8088844,0.002292088,0.05970041,0.002283321,0.001312729,0.0001918243,0.001069176,0.0001811645,0.1240848],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009416075,"threshold_uncertainty_score":0.03149992,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04175194938134003,"score_gpt":0.2862871578124997,"score_spread":0.2445352084311597,"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."}}