{"id":"W4210818843","doi":"10.5539/jmr.v14n1p62","title":"Weighted Spectral Gap and a Unique Continuation Result for the Magnetic Differential Elliptic Operator","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Elliptic operator; Operator (biology); Differential operator; Continuation; Spectral gap; Measure (data warehouse); Inverse; Spectrum (functional analysis); Mathematical analysis; Poincaré conjecture; Order (exchange); Semi-elliptic operator; Pure mathematics; Geometry; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001002721,0.0006616256,0.0006114254,0.00191513,0.0009826706,0.001348968,0.0009622905,0.0009364738,0.004485535],"category_scores_gemma":[0.003137964,0.0002595059,0.000760346,0.0005777436,0.002548628,0.003023432,0.003116092,0.001628721,0.0003952143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000620726,"about_ca_system_score_gemma":0.0003926572,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002748844,"about_ca_topic_score_gemma":0.000178096,"domain_scores_codex":[0.9996312,0.00009060623,0.00001888712,0.0000777024,0.0001195156,0.00006218148],"domain_scores_gemma":[0.9987121,0.0005605416,0.0001815196,0.00009733018,0.0002029423,0.0002455523],"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":[0.00002248837,0.00002085978,0.0002050369,0.0000635699,0.00001072002,0.0001533117,0.0001461263,0.002059667,0.003337332,0.9903316,0.0003476753,0.003301462],"study_design_scores_gemma":[0.00001288916,0.00003877353,0.0002803973,0.00002980225,0.00001140984,0.0003063051,0.0001201177,0.04148498,0.002254537,0.9539868,0.001457963,0.00001607291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3684063,0.001474432,0.550116,0.002243028,0.0004019646,0.00004739411,0.0001268714,0.0002050361,0.07697888],"genre_scores_gemma":[0.9601479,0.0005854136,0.02713432,0.0003423781,0.0002497293,0.00006134534,0.00005769548,0.00007440094,0.01134672],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004485535,"threshold_uncertainty_score":0.01500565,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2034024455510925,"score_gpt":0.4321510543379509,"score_spread":0.2287486087868584,"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."}}