{"id":"W2138730960","doi":"10.4153/cjm-2005-010-1","title":"Unbounded Fredholm Operators and Spectral Flow","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":99,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Fredholm theory; Hilbert space; Homotopy; Bounded function; Bounded operator; Separable space; Pure mathematics; Projection (relational algebra); Operator theory; Compact operator; Spectrum (functional analysis); Fredholm integral equation; Mathematical analysis; Algorithm","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002954981,0.0001138102,0.0002104601,0.0001660191,0.00007438501,0.000149281,0.0004669018,0.0000443376,0.00001555703],"category_scores_gemma":[0.0002541494,0.00009927536,0.00004623,0.0001361116,0.000045431,0.0004378729,0.00002491249,0.000190788,0.00001284627],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001152423,"about_ca_system_score_gemma":0.0002994243,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001314347,"about_ca_topic_score_gemma":0.0003804527,"domain_scores_codex":[0.9991186,0.000009230781,0.0003664963,0.00009194502,0.0001543223,0.000259351],"domain_scores_gemma":[0.9989715,0.00008905253,0.0001019675,0.0002310099,0.00009639988,0.0005100672],"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":[0.000001165365,0.00008061092,0.00009980917,0.0002067714,0.0000923632,0.0002210717,0.009504734,0.1445859,0.0006501356,0.8202544,0.001234082,0.02306892],"study_design_scores_gemma":[0.0002935281,0.00005942621,0.00004813722,0.0001681833,0.00001521495,0.0009504376,0.0001225577,0.9148383,0.0007549317,0.08043996,0.002089682,0.0002197165],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05904758,0.0003093398,0.9390337,0.0007500981,0.0001698086,0.00004888618,0.000001176722,0.00001890425,0.0006204877],"genre_scores_gemma":[0.3586617,0.000006662393,0.6411209,0.00007745821,0.00009064732,4.670677e-7,5.205218e-8,0.000009931378,0.00003224364],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7702523,"threshold_uncertainty_score":0.4048332,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01358213306349076,"score_gpt":0.2182000081148776,"score_spread":0.2046178750513869,"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."}}