{"id":"W2086667938","doi":"10.1016/j.aim.2008.01.002","title":"Smooth functions in o-minimal structures","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Diffeomorphism; Mathematics; Affine transformation; Differentiable function; Pure mathematics; Topology (electrical circuits); Exponential function; Mathematical analysis; Combinatorics","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":[0.0005615588,0.0008486672,0.000776067,0.002301785,0.002111151,0.002674386,0.0007527124,0.0009199787,0.00480615],"category_scores_gemma":[0.001660979,0.0004216567,0.0007284998,0.001486692,0.003474613,0.005458221,0.003115186,0.002204387,0.0004582127],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001035703,"about_ca_system_score_gemma":0.0004476057,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009661916,"about_ca_topic_score_gemma":0.0009326347,"domain_scores_codex":[0.9996525,0.00006540879,0.00002012471,0.00007763843,0.00009599041,0.00008829636],"domain_scores_gemma":[0.9992797,0.0002945331,0.00009406279,0.00006057845,0.00009423024,0.0001768771],"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":[0.00001897621,0.000007139728,0.000107238,0.00001535242,0.00000342351,0.00003439039,0.0001527342,0.000149354,0.0004127046,0.9968688,0.0002693666,0.001960535],"study_design_scores_gemma":[0.000008790672,0.00001233333,0.0002306761,0.000007707536,0.000007052303,0.00004599732,0.0001253007,0.000615195,0.000230145,0.9964222,0.002289355,0.000005304976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6136982,0.003737238,0.1547179,0.00546658,0.0007034208,0.00007523008,0.0003775524,0.0003436456,0.2208803],"genre_scores_gemma":[0.9563459,0.001208065,0.01404111,0.00042049,0.0004426205,0.00005861174,0.0002082303,0.00008686724,0.02718825],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00480615,"threshold_uncertainty_score":0.01607823,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03277476478057965,"score_gpt":0.3308332845772668,"score_spread":0.2980585197966871,"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."}}