{"id":"W4281398079","doi":"10.1090/proc/15691","title":"Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-𝐿^{∞} spaces","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Simons Foundation","keywords":"Nirenberg and Matthaei experiment; Lorentz transformation; Type (biology); Inequality; Mathematics; Pure mathematics; Physics; Mathematical analysis; Classical mechanics; Biology; Ecology","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"],"consensus_categories":[],"category_scores_codex":[0.001119203,0.0004984667,0.001092268,0.00007051875,0.0007806515,0.0001694379,0.0008076396,0.00008328712,0.0006893426],"category_scores_gemma":[0.001348773,0.0003819603,0.0005888342,0.001074322,0.001449852,0.0001288138,0.001591789,0.0008778264,0.00004122219],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002188722,"about_ca_system_score_gemma":0.0001177349,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006460218,"about_ca_topic_score_gemma":0.000001795267,"domain_scores_codex":[0.9963712,0.0001118233,0.0009377638,0.0005520641,0.001400989,0.0006261684],"domain_scores_gemma":[0.9967676,0.0009887749,0.001383614,0.0003526494,0.0003037137,0.0002036229],"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":[0.0003690245,0.002833992,0.002999376,0.004326559,0.001181948,7.898067e-7,0.02346312,0.00002090219,0.01068132,0.9113,0.04055468,0.002268259],"study_design_scores_gemma":[0.001812597,0.003217814,0.00312397,0.001221047,0.002049054,0.00005541019,0.0955599,0.02385322,0.008226952,0.8506794,0.008360808,0.001839814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9866795,0.0002061701,0.0001853437,0.005199426,0.0002598422,0.0009244589,0.0001909564,0.0001122161,0.006242068],"genre_scores_gemma":[0.9833803,0.000202494,0.0105962,0.0006295147,0.0002743785,0.0001164055,0.000006968707,0.0001353184,0.004658373],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07209679,"threshold_uncertainty_score":0.9998632,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04160378333324117,"score_gpt":0.2999866379575443,"score_spread":0.2583828546243032,"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."}}