{"id":"W4324385929","doi":"10.5772/intechopen.104691","title":"Dynamic Equations on Time Scales","year":2023,"lang":"en","type":"book-chapter","venue":"IntechOpen eBooks","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Dynamic equation; Differential equation; Discrete time and continuous time; Scale (ratio); Integer (computer science); Mathematics; Time-scale calculus; Extension (predicate logic); Applied mathematics; Partial differential equation; Computer science; Calculus (dental); Mathematical analysis; Physics; Statistics; Nonlinear system","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":[0.0002957227,0.00064045,0.0004123061,0.0006934894,0.0005818429,0.001854291,0.000496874,0.0007533571,0.01337929],"category_scores_gemma":[0.0008399832,0.0002732815,0.0006550936,0.0008970948,0.001301844,0.003153072,0.001448401,0.002471301,0.00334672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001040992,"about_ca_system_score_gemma":0.0006254766,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001250107,"about_ca_topic_score_gemma":0.0009661916,"domain_scores_codex":[0.9997206,0.00004144119,0.00001363076,0.00006350157,0.0001342793,0.0000265144],"domain_scores_gemma":[0.9997953,0.00008014922,0.00001994714,0.0000362373,0.00005268896,0.00001584548],"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":[0.000001920837,0.000004598954,0.00003374006,0.00003887151,0.000003196859,0.00003423258,0.00007088299,0.001267534,0.0005719949,0.9828948,0.005454358,0.00962392],"study_design_scores_gemma":[0.000003103322,0.000008013115,0.0001792703,0.00005637138,0.000006553682,0.0001524234,0.00005754947,0.005894232,0.0004430571,0.7052939,0.2878953,0.00001022487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.008538784,0.02859591,0.2592553,0.005270571,0.003042527,0.00007205932,0.0006090536,0.0003068147,0.6943089],"genre_scores_gemma":[0.231262,0.05826726,0.1009552,0.003040534,0.003273037,0.0002955946,0.0009285773,0.0004985736,0.6014792],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01337929,"threshold_uncertainty_score":0.04475814,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06433765350667268,"score_gpt":0.3274217584851137,"score_spread":0.263084104978441,"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."}}