{"id":"W4383878397","doi":"10.21203/rs.3.rs-3140456/v1","title":"Nullspaces yield new explicit Runge--Kutta pairs","year":2023,"lang":"en","type":"preprint","venue":"Research Square","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Runge–Kutta methods; Parametric statistics; Maple; Pure mathematics; Set (abstract data type); Applied mathematics; Yield (engineering); Isomorphism (crystallography); Mathematical analysis; Computer science; Differential equation; Statistics","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":[0.001179967,0.000401646,0.0004723694,0.0008735084,0.0005125944,0.001490816,0.001046942,0.0005931183,0.006395865],"category_scores_gemma":[0.00670548,0.0004189766,0.0003568618,0.0003637615,0.001902884,0.002025275,0.002183079,0.001339533,0.0006760136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005067014,"about_ca_system_score_gemma":0.0004736064,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002248308,"about_ca_topic_score_gemma":0.0004294878,"domain_scores_codex":[0.9990544,0.0001877299,0.0000611627,0.0001094355,0.0004834851,0.0001036692],"domain_scores_gemma":[0.9978421,0.001086204,0.0003405303,0.000321131,0.0002784694,0.0001315265],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001296715,0.0001441293,0.003294012,0.0001947604,0.00002325523,0.0002886768,0.0004940824,0.07823098,0.02605849,0.8269264,0.0008288412,0.06338671],"study_design_scores_gemma":[0.00005319967,0.0002877631,0.002013181,0.00007976367,0.00002203315,0.0004161182,0.0001697875,0.7443703,0.03405138,0.2088816,0.009599938,0.00005481716],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2173162,0.0001883305,0.7652819,0.00008080952,0.00004484843,0.00008220977,0.00005964546,0.0004687097,0.01647734],"genre_scores_gemma":[0.8233688,0.0001199494,0.1712655,0.0000403385,0.0000289696,0.0001083609,0.00009949505,0.0002280512,0.004740695],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006395865,"threshold_uncertainty_score":0.02139634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.5539209451198683,"score_gpt":0.5401162461423687,"score_spread":0.01380469897749959,"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."}}