{"id":"W2088911357","doi":"10.1016/s0024-3795(03)00556-1","title":"On vector spaces with distinguished subspaces and redundant base","year":2003,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Linear subspace; Mathematics; Vector space; Isomorphism (crystallography); Base (topology); Dimension (graph theory); Combinatorics; Pure mathematics; Space (punctuation); Field (mathematics); Discrete mathematics; Computer science; Mathematical analysis","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":[0.001821581,0.001759364,0.001579891,0.003680044,0.002643757,0.003960752,0.001748803,0.001776249,0.005171797],"category_scores_gemma":[0.003281774,0.0008091554,0.001180353,0.004642416,0.008420443,0.0102359,0.003927296,0.004246738,0.0007900455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001585806,"about_ca_system_score_gemma":0.0008549401,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001010659,"about_ca_topic_score_gemma":0.0008801767,"domain_scores_codex":[0.99893,0.0003789777,0.00005712067,0.0002101548,0.0002623402,0.000161281],"domain_scores_gemma":[0.9983712,0.0007757382,0.0002771516,0.0001956741,0.0001610837,0.0002192631],"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":[0.0000133199,0.000009235911,0.00003697967,0.00002404728,0.000005118516,0.0000300655,0.0001495898,0.0004247705,0.0001663025,0.9965688,0.0004722437,0.002099398],"study_design_scores_gemma":[0.000004521036,0.000007545648,0.00003805636,0.000009244452,0.000004419402,0.00003963853,0.00006076989,0.0009481307,0.00007336969,0.9976405,0.001168107,0.00000581502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.350677,0.02281605,0.4094877,0.007952054,0.00252242,0.00007873894,0.0008326254,0.0004034693,0.2052299],"genre_scores_gemma":[0.9082654,0.008302454,0.04346634,0.0008692346,0.002267884,0.0001122042,0.0006319858,0.0001354139,0.03594916],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005171797,"threshold_uncertainty_score":0.01730144,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03671051878837003,"score_gpt":0.3069292137594465,"score_spread":0.2702186949710764,"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."}}