{"id":"W2078784171","doi":"10.1016/j.jmaa.2006.06.017","title":"A class of nonlinear equations in Hilbert space and its application to completeness problems","year":2006,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Completeness (order theory); Hilbert space; Nonlinear system; Class (philosophy); Mathematical analysis; Applied mathematics; Calculus (dental); Pure mathematics; Algebra over a field; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001982837,0.0007853617,0.001071975,0.001566525,0.001679321,0.001739568,0.001327963,0.002466549,0.004007616],"category_scores_gemma":[0.008122965,0.0004667667,0.001401448,0.001228041,0.002716023,0.004365753,0.002868511,0.003688272,0.0004532907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009642876,"about_ca_system_score_gemma":0.001274377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002426412,"about_ca_topic_score_gemma":0.001994184,"domain_scores_codex":[0.9992837,0.0002725351,0.0000502674,0.0001133265,0.0002112358,0.00006895138],"domain_scores_gemma":[0.9968607,0.001716721,0.0002968071,0.000231857,0.0005413584,0.0003524037],"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":[0.000008286935,0.00001659335,0.0002416593,0.00003610156,0.000008958698,0.00006496143,0.0001407104,0.002651647,0.0005179643,0.9902509,0.001829333,0.004232809],"study_design_scores_gemma":[0.00001114253,0.00001719509,0.0002358988,0.00001078518,0.000005798128,0.0001332173,0.00006626348,0.04239898,0.000165833,0.952814,0.004127248,0.00001364897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1028372,0.001995863,0.8335899,0.006817071,0.0006762843,0.0001813617,0.0007060171,0.0001960157,0.05300033],"genre_scores_gemma":[0.7011765,0.004263483,0.2380994,0.001525953,0.002640531,0.0003998406,0.0008988223,0.0002457014,0.0507497],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004007616,"threshold_uncertainty_score":0.01340681,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01321595469836851,"score_gpt":0.2595794855073795,"score_spread":0.246363530809011,"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."}}