{"id":"W4408798859","doi":"10.28924/2291-8639-23-2025-64","title":"Sum of g-Frames in Hilbert C∗-Modules","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Linguistics; Pure mathematics","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":[0.001555453,0.0007581009,0.0006309923,0.001682402,0.001170151,0.001611143,0.0006324219,0.0007226111,0.003144203],"category_scores_gemma":[0.002338203,0.0003049457,0.0007758784,0.0007027877,0.002656583,0.003583691,0.002110703,0.001155971,0.0003630908],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008218027,"about_ca_system_score_gemma":0.0004341897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005861447,"about_ca_topic_score_gemma":0.0003939117,"domain_scores_codex":[0.9989994,0.0002307565,0.00005813983,0.0002734668,0.0002516214,0.0001866312],"domain_scores_gemma":[0.9988501,0.0003010349,0.000221227,0.00008399472,0.0002716526,0.0002720656],"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":[0.00005280018,0.00001347979,0.0005224273,0.00004549322,0.00002276374,0.0001993582,0.0003290499,0.00282397,0.005121571,0.9849758,0.0002402131,0.005653047],"study_design_scores_gemma":[0.00001786406,0.0001344501,0.0009236705,0.00002574259,0.0000278533,0.0003108584,0.0003409508,0.03129888,0.006287828,0.9577576,0.002838344,0.0000359035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.609861,0.00110694,0.3695181,0.0003616531,0.0001399051,0.00005109593,0.0001158501,0.0001329863,0.01871244],"genre_scores_gemma":[0.9521511,0.0003915462,0.03895308,0.000132642,0.0001684044,0.00005762565,0.000153133,0.00007679746,0.007915753],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003144203,"threshold_uncertainty_score":0.01051843,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02172011809437107,"score_gpt":0.3830478447498982,"score_spread":0.3613277266555271,"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."}}