{"id":"W1981909162","doi":"10.1215/00294527-2143889","title":"Lattices in Locally Definable Subgroups of 〈Rn,+〉","year":2013,"lang":"en","type":"article","venue":"Notre Dame Journal of Formal Logic","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Lattice (music); Combinatorics; Complete lattice; Pure mathematics; Discrete mathematics; Physics; Condensed matter physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006731949,0.0001216046,0.0004045798,0.0001422365,0.00004067471,0.000009168339,0.0002672081,0.0001353881,0.0005338998],"category_scores_gemma":[0.000363902,0.00008679043,0.0001151422,0.0001297381,0.0001321873,0.0007266683,0.00005391351,0.0003709851,0.00003538182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003405529,"about_ca_system_score_gemma":0.00004663055,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001366474,"about_ca_topic_score_gemma":0.00002288253,"domain_scores_codex":[0.9986878,0.00008268304,0.0006841134,0.00007395547,0.0001771393,0.0002943008],"domain_scores_gemma":[0.9985861,0.0004229225,0.0005993359,0.000146455,0.0001807316,0.00006445219],"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":[0.0006896207,0.00101072,0.02050764,0.000452168,0.000143906,0.0002526025,0.00221595,0.001075267,0.003483809,0.9549185,0.001838521,0.01341127],"study_design_scores_gemma":[0.001061594,0.0005875538,0.007361317,0.0001109787,0.00003635495,0.0002164972,0.0008500627,0.0001784311,0.001584927,0.9875445,0.0003344258,0.0001333245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9842643,0.0004430057,0.00691141,0.0002484881,0.0001284331,0.0001105056,0.000002497249,0.000009088012,0.007882272],"genre_scores_gemma":[0.9789966,0.00006542463,0.02045166,0.0001542236,0.00005020204,0.000002367007,7.461406e-7,0.000009628642,0.0002691404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03262601,"threshold_uncertainty_score":0.5845827,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03305867257580116,"score_gpt":0.2996571829116664,"score_spread":0.2665985103358653,"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."}}