{"id":"W2140712161","doi":"10.1016/j.jalgebra.2015.10.009","title":"On bounds for the effective differential Nullstellensatz","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"National Science Foundation","keywords":"Mathematics; Differential (mechanical device); Algebraic number; Differential algebra; Pure mathematics; Mathematical analysis","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":[0.01189367,0.003223445,0.003390354,0.009173249,0.003680383,0.0102164,0.00662743,0.003431865,0.01806375],"category_scores_gemma":[0.05165883,0.001575972,0.002122646,0.005115649,0.01207989,0.02729706,0.01304736,0.01487564,0.002484514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.006263331,"about_ca_system_score_gemma":0.001825991,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001353657,"about_ca_topic_score_gemma":0.001462053,"domain_scores_codex":[0.9921949,0.002311651,0.0003651982,0.001234523,0.002407327,0.001486401],"domain_scores_gemma":[0.9084241,0.07615072,0.002298712,0.004606914,0.003944766,0.004574792],"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":[0.0001061656,0.00005790847,0.0004629081,0.00009680076,0.0000227289,0.00006026245,0.000248194,0.002634177,0.0004555017,0.9892119,0.001641747,0.005001778],"study_design_scores_gemma":[0.00001708556,0.00001611178,0.000183625,0.00004324808,0.00001908019,0.00003575193,0.00004128706,0.01151766,0.0003117796,0.9865282,0.001270324,0.00001589676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.214827,0.009855038,0.4769686,0.01894008,0.001014869,0.0002012322,0.001469033,0.001157936,0.2755661],"genre_scores_gemma":[0.9378889,0.0031461,0.03829291,0.001667658,0.001515713,0.000309036,0.001076412,0.0005781635,0.015525],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01806375,"threshold_uncertainty_score":0.06290054,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01789135546021098,"score_gpt":0.2549095679074875,"score_spread":0.2370182124472766,"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."}}