{"id":"W7115036269","doi":"","title":"Moving frames, Bäcklund’s theorem, and its affine extension","year":2025,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Affine transformation; Extension (predicate logic); Affine combination; Algebra over a field; Set (abstract data type); Focus (optics)","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":[0.000890628,0.0004909048,0.0004190804,0.001168533,0.001157342,0.001652455,0.0005377421,0.0008611546,0.004283015],"category_scores_gemma":[0.001425123,0.0001774908,0.0006010116,0.0008369926,0.003537439,0.002470279,0.001119857,0.001781116,0.0005507662],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001993868,"about_ca_system_score_gemma":0.0008854632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005819088,"about_ca_topic_score_gemma":0.002130042,"domain_scores_codex":[0.9996701,0.00008993585,0.00001660039,0.00008108539,0.0001014739,0.00004069188],"domain_scores_gemma":[0.9997258,0.0001026977,0.00004070525,0.00003464891,0.00006002058,0.0000360392],"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":[0.000001803036,0.000001451845,0.00002624361,0.000005436089,8.418572e-7,0.00001282648,0.00006031551,0.0001274444,0.00007498753,0.996937,0.0005223035,0.002229417],"study_design_scores_gemma":[0.000004728408,0.00001355989,0.0001902292,0.00001659176,0.000002654183,0.00005461105,0.00008470958,0.001414092,0.0001842738,0.978546,0.01948139,0.000007165911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1472703,0.03299886,0.2302949,0.01519869,0.00247604,0.00005688901,0.0003065093,0.0002559582,0.5711418],"genre_scores_gemma":[0.86,0.01233124,0.04060661,0.001487776,0.001807526,0.00007565725,0.0002019459,0.0001038401,0.08338538],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005819088,"threshold_uncertainty_score":0.01446658,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03740040838719039,"score_gpt":0.3126480796080398,"score_spread":0.2752476712208494,"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."}}