{"id":"W4296513809","doi":"10.18280/mmep.090429","title":"Development and Definition of Biquadratic Transformations Using Spheres and Two-Way Hyperboloids","year":2022,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Plane (geometry); Quadratic equation; Development (topology); Order (exchange); Geometry; Connection (principal bundle); SPHERES; Mathematics; Transformation (genetics); Binary number; Computer science; Algebra over a field; Pure mathematics; Mathematical analysis; Physics","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":[0.0001272141,0.00009411597,0.0001515252,0.00003650595,0.0001437954,0.00001822853,0.00003166232,0.00001761479,0.00001568765],"category_scores_gemma":[0.00000339168,0.00008179642,0.00001037547,0.00009289532,0.00005104859,0.00004476126,0.00004169537,0.00007923427,2.350782e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001029577,"about_ca_system_score_gemma":0.000002024826,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001490327,"about_ca_topic_score_gemma":1.760673e-7,"domain_scores_codex":[0.9994775,0.000003935785,0.0002014596,0.00008846907,0.00008959274,0.0001390395],"domain_scores_gemma":[0.9998487,0.00004659812,0.00001309482,0.00003840323,0.000005855059,0.00004741094],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001504133,0.000009306466,0.000002249688,0.0005213363,0.0000104238,2.272332e-7,0.001059792,0.8697903,0.00238056,0.1248537,2.548664e-7,0.001370262],"study_design_scores_gemma":[0.000107437,0.00001714424,0.000001498825,0.00005574151,0.00001048617,0.00001152435,0.0003432743,0.9136799,0.000539633,0.08500482,0.0001180244,0.0001105122],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5201184,0.0003265254,0.4791477,0.000005331455,0.00002104309,0.00005302843,0.000002216918,0.00003502661,0.0002906905],"genre_scores_gemma":[0.8509364,0.00007766912,0.1489442,0.000002636758,0.000006207165,0.00002152542,0.000001068669,0.000008562273,0.000001820345],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3308179,"threshold_uncertainty_score":0.3335561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02503227029437967,"score_gpt":0.2043218041416931,"score_spread":0.1792895338473135,"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."}}