{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004945236,0.0006111699,0.0003453371,0.001041749,0.0003702608,0.001893742,0.0005870952,0.0006091638,0.0058041],"category_scores_gemma":[0.00200302,0.000271889,0.0005397155,0.0007424272,0.00134215,0.001755527,0.001093742,0.0008596972,0.001320848],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006689433,"about_ca_system_score_gemma":0.0003909729,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004079588,"about_ca_topic_score_gemma":0.0004074069,"domain_scores_codex":[0.999575,0.00008859221,0.00002039079,0.00008570167,0.0001902305,0.0000401369],"domain_scores_gemma":[0.9994029,0.0001209832,0.00008284193,0.0001245064,0.0002097646,0.00005904641],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001993878,0.00007356201,0.002220873,0.0003085414,0.0000236415,0.0003940333,0.0004716539,0.1241025,0.07263678,0.5575725,0.004899109,0.2370974],"study_design_scores_gemma":[0.00003931061,0.0003239402,0.001427105,0.00007782639,0.00003268444,0.0009556465,0.0002743277,0.6327206,0.03822755,0.2721668,0.05364136,0.0001128878],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05823711,0.0002771502,0.90745,0.0002691566,0.00007629435,0.00008172303,0.00007980175,0.0008056203,0.03272317],"genre_scores_gemma":[0.7855716,0.0004208803,0.1959593,0.0001451199,0.0000628938,0.0001309192,0.0001585201,0.0005711079,0.01697955],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0058041,"threshold_uncertainty_score":0.01941663,"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."}}