{"id":"W3197061946","doi":"10.1007/978-3-030-63591-6_8","title":"Differential Equations Using Generalized Derivatives on Fractals","year":2021,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; Acadia University; University of Guelph","funders":"","keywords":"Fractal; Mathematics; Eigenvalues and eigenvectors; Derivative (finance); Fractal derivative; Measure (data warehouse); Applied mathematics; Boundary value problem; Mathematical analysis; Computer science; Fractal dimension; Physics; Fractal 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":[0.0003769802,0.00109646,0.0009228935,0.001694228,0.0004310667,0.001987162,0.0005804758,0.0008881586,0.003790519],"category_scores_gemma":[0.0008198145,0.000407913,0.0008685373,0.001298569,0.001855168,0.003236155,0.001199778,0.001967513,0.0009754039],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008982432,"about_ca_system_score_gemma":0.0003172262,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006836476,"about_ca_topic_score_gemma":0.0006153818,"domain_scores_codex":[0.9998173,0.00004461006,0.00001320647,0.00002624061,0.00008444183,0.00001423412],"domain_scores_gemma":[0.9997328,0.0001149904,0.00002534991,0.00004617894,0.00006263951,0.00001799192],"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":[0.000001757784,0.000003575103,0.00002632914,0.00004139316,0.0000062099,0.00003216713,0.00005653124,0.002010257,0.0006417315,0.987463,0.002524569,0.007192479],"study_design_scores_gemma":[0.000003580268,0.000008152349,0.0001369013,0.00002603249,0.000008767346,0.0001455133,0.00002151497,0.01782005,0.0003714253,0.9515347,0.02990914,0.00001423331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04445479,0.03859317,0.5928601,0.004623653,0.006574063,0.00006834223,0.0004952555,0.000556792,0.3117739],"genre_scores_gemma":[0.495683,0.04499295,0.1469368,0.001429665,0.006783651,0.0001665259,0.0006343246,0.0008448773,0.3025283],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003790519,"threshold_uncertainty_score":0.01268059,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08133033093181838,"score_gpt":0.3299019835896085,"score_spread":0.2485716526577902,"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."}}