{"id":"W2051543572","doi":"10.1016/j.cam.2012.01.024","title":"A further generalisation of the planar cubic Bézier spiral","year":2012,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bézier curve; Mathematics; Planar; Spiral (railway); Inflection point; Geometric design; Cubic surface; Geometry; Degree (music); Surface (topology); Mathematical analysis; Computer science; Computer graphics (images)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002511918,0.0005086404,0.0005475868,0.001018815,0.0004808749,0.001298572,0.000747126,0.0006259746,0.01348227],"category_scores_gemma":[0.001595346,0.0002379763,0.0009043386,0.001068635,0.001022091,0.00110527,0.001448102,0.00136059,0.002601988],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005047847,"about_ca_system_score_gemma":0.0006907301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002158241,"about_ca_topic_score_gemma":0.002123866,"domain_scores_codex":[0.9997297,0.00003257682,0.00001448307,0.00005326915,0.00013536,0.0000345697],"domain_scores_gemma":[0.9996958,0.0000519898,0.00002593576,0.0000866975,0.0001088183,0.00003077311],"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":[0.000102364,0.0000411153,0.000459036,0.0001445777,0.00001699494,0.0002928808,0.0001642441,0.02274493,0.01821177,0.8172982,0.006078409,0.1344455],"study_design_scores_gemma":[0.00006462714,0.0002207723,0.0008902578,0.00007483522,0.00003706824,0.002617436,0.0001223618,0.2544628,0.007706615,0.5423189,0.1914169,0.00006740801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02539257,0.0005692805,0.8629183,0.0007261754,0.0008017002,0.0001192761,0.0002881129,0.0009339277,0.1082506],"genre_scores_gemma":[0.4425006,0.002136843,0.4566212,0.0006903126,0.000550457,0.0001126011,0.00045949,0.0007522923,0.0961762],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01348227,"threshold_uncertainty_score":0.04510272,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01262331918984645,"score_gpt":0.2301044990433642,"score_spread":0.2174811798535178,"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."}}