{"id":"W2116786317","doi":"10.5539/mas.v8n3p24","title":"Aesthetic Curve Design with Linear Gradients of Logarithmic Curvature/Torsion Graphs","year":2014,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Curvature; Ode; Torsion of a curve; Logarithm; Torsion (gastropod); Mathematics; Graph; Ordinary differential equation; Function (biology); Mathematical analysis; Mean curvature; Differential equation; Geometry; Center of curvature; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003654978,0.0001676231,0.0002275535,0.0002077074,0.00009887887,0.0000165448,0.0004647704,0.0000493087,0.000003024673],"category_scores_gemma":[0.00001267805,0.0001300545,0.00003494119,0.0009985106,0.0004655252,0.0001376514,0.0000496051,0.0001650871,0.00000915162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005222532,"about_ca_system_score_gemma":0.00001595643,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005302938,"about_ca_topic_score_gemma":0.000001842771,"domain_scores_codex":[0.9987025,0.00001467364,0.0001851578,0.0003325487,0.0004426898,0.0003224746],"domain_scores_gemma":[0.9993607,0.00001835476,0.0000617997,0.0003879604,0.00006481324,0.000106341],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004258407,0.000100154,0.0004674241,0.00004752121,0.00001041202,0.000001735974,0.0003356861,0.2279022,0.718206,0.007639688,0.00003851048,0.04520798],"study_design_scores_gemma":[0.0001513612,0.00008957723,0.000216922,0.00001796357,0.00001474975,0.000003533679,0.000004358587,0.8440066,0.1355716,0.01955383,0.0001621666,0.0002073136],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05092616,0.00003477673,0.9473735,0.000007595204,0.00002252487,0.0001785291,8.531663e-7,0.0002956041,0.001160444],"genre_scores_gemma":[0.8698716,0.000008703965,0.1300348,0.000022408,0.000006214222,0.00002426286,0.000001174532,0.00002027542,0.00001059641],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8189454,"threshold_uncertainty_score":0.5303468,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008315640657638266,"score_gpt":0.2123779372106617,"score_spread":0.2040622965530234,"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."}}