{"id":"W2042342531","doi":"10.5539/jmr.v4n6p83","title":"The Space of Coefficients in a Linear Topological Space","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Topological space; Space (punctuation); Basis (linear algebra); Topological vector space; Zero-dimensional space; Pure mathematics; Topology (electrical circuits); Continuous linear operator; Connected space; Mathematical analysis; Combinatorics; Geometry","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.02473478,0.0001503068,0.0006963953,0.0003474613,0.0001418857,0.00003834918,0.0006482797,0.0001294462,0.0001601381],"category_scores_gemma":[0.009092048,0.0000770919,0.0002939524,0.0007977583,0.0003567996,0.0001232429,0.000133779,0.0008828579,0.0000191847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007675357,"about_ca_system_score_gemma":0.00008975685,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006502556,"about_ca_topic_score_gemma":0.000009736627,"domain_scores_codex":[0.9954203,0.0007274202,0.001336865,0.00009709568,0.001763503,0.0006548417],"domain_scores_gemma":[0.9885231,0.009706593,0.0004862205,0.0004141906,0.000649914,0.0002199553],"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":[0.00008263192,0.003449485,0.0009991248,0.0008388587,0.0001687434,0.00001875929,0.005217458,0.00002126119,0.001768703,0.9845178,0.001438015,0.001479159],"study_design_scores_gemma":[0.001141642,0.0004881365,0.0003399652,0.0006823005,0.0001181031,0.0001632256,0.00903242,0.005802931,0.01317598,0.9641057,0.004726348,0.0002232257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8760776,0.001108267,0.1072406,0.002601118,0.0003103449,0.0005321604,0.000003418476,0.0000110319,0.0121155],"genre_scores_gemma":[0.8241783,0.000290937,0.1743563,0.000005364504,0.0001633099,0.000006890148,1.286918e-7,0.00002409469,0.000974675],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06711577,"threshold_uncertainty_score":0.9992548,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3028644595017418,"score_gpt":0.5268007014472333,"score_spread":0.2239362419454916,"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."}}