{"id":"W2077259161","doi":"10.1016/j.laa.2011.02.034","title":"The Whitney embedding theorem for tropical torsion modules","year":2011,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal; Group for Research in Decision Analysis","funders":"","keywords":"Mathematics; Torsion (gastropod); Embedding; Corollary; Combinatorics; Pure mathematics; Discrete mathematics","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":[0.0005288248,0.000601101,0.0006508231,0.001424511,0.001120556,0.001931264,0.0006028989,0.0005533611,0.008497769],"category_scores_gemma":[0.001950558,0.0004512878,0.000537656,0.001516375,0.002649126,0.008246285,0.002420687,0.00265602,0.0008294556],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006035339,"about_ca_system_score_gemma":0.0003699506,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006145493,"about_ca_topic_score_gemma":0.0007121687,"domain_scores_codex":[0.999602,0.00006943599,0.00001872573,0.0001104212,0.0001209297,0.00007849692],"domain_scores_gemma":[0.9991492,0.0003819492,0.00008594085,0.0001248737,0.0001172622,0.0001406452],"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":[0.00002513122,0.00001289058,0.0002262123,0.00003704666,0.000006719594,0.0000551871,0.0001872217,0.0007514466,0.0009760779,0.9866213,0.001241484,0.009859326],"study_design_scores_gemma":[0.000005429971,0.00001004113,0.0002902526,0.000006787199,0.000007230595,0.00008064831,0.00004671685,0.003401544,0.0009331327,0.991232,0.003974841,0.00001131868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3694631,0.004158688,0.4571592,0.003644654,0.0009851182,0.00004408215,0.0005529645,0.000830265,0.163162],"genre_scores_gemma":[0.9557811,0.001312403,0.01565035,0.0003453621,0.0007836633,0.00003676271,0.0002298046,0.0001647705,0.02569577],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008497769,"threshold_uncertainty_score":0.0284279,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02178366184208147,"score_gpt":0.2583537375604931,"score_spread":0.2365700757184117,"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."}}