{"id":"W658022863","doi":"","title":"On some remarks of representation theorem of Sobolev's spaces and boundary value problems","year":2001,"lang":"en","type":"article","venue":"Canadian parliamentary review","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Sobolev space; Mathematics; Representation (politics); Value (mathematics); Boundary value problem; Pure mathematics; Representation theorem; Mathematical analysis; Political science; Statistics","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":[0.0004848679,0.0001713798,0.0004953944,0.0001484485,0.00009955475,0.00003654064,0.0001515326,0.00005276408,0.0005228569],"category_scores_gemma":[0.0001050402,0.0001469812,0.0001044893,0.0002282198,0.0001839541,0.0001942077,0.00002528676,0.0001046245,0.000006716948],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008844573,"about_ca_system_score_gemma":0.0002548902,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_topic_score_codex":0.02716917,"about_ca_topic_score_gemma":0.03175549,"domain_scores_codex":[0.9985524,0.0001422877,0.0005914947,0.0002455633,0.000240873,0.0002274285],"domain_scores_gemma":[0.9988527,0.0001633708,0.0003150926,0.0004060363,0.00007084799,0.0001919483],"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":[0.00005849443,0.0005087003,0.007485312,0.0202041,0.0005857087,0.00006213451,0.001437151,0.00003000527,0.0006630334,0.6983843,0.06418437,0.2063966],"study_design_scores_gemma":[0.0009909313,0.0005495354,0.001100099,0.01786625,0.0005930169,0.00009727393,0.0006108992,0.0002168794,0.0004545892,0.9207921,0.05616391,0.0005644927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8519999,0.1196406,0.0005599277,0.005819445,0.0004393262,0.003938138,0.0002870915,0.00005458148,0.01726102],"genre_scores_gemma":[0.8810414,0.1117046,0.003063816,0.002742588,0.00008634922,0.0001230035,0.0002257596,0.00007597895,0.0009365699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2224078,"threshold_uncertainty_score":0.9859124,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0449719596908841,"score_gpt":0.3036508409975676,"score_spread":0.2586788813066835,"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."}}