{"id":"W1876112628","doi":"10.1007/978-3-642-15205-4_21","title":"Formal Theories for Linear Algebra","year":2010,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Computer science; Algebra over a field; Linear algebra; Theoretical computer science; Programming language; Mathematics; Pure 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":[0.000685458,0.001189191,0.001042624,0.002153695,0.001807348,0.003764053,0.001201448,0.0009697423,0.02466551],"category_scores_gemma":[0.001093954,0.0008897675,0.0009572698,0.002864048,0.004164258,0.007682316,0.001387282,0.004908677,0.008035],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003138031,"about_ca_system_score_gemma":0.001178426,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001385636,"about_ca_topic_score_gemma":0.001516126,"domain_scores_codex":[0.9994153,0.0001790087,0.00003502694,0.00007332337,0.0002380092,0.00005936894],"domain_scores_gemma":[0.9996131,0.0001786972,0.00002051936,0.00007872193,0.00008387238,0.0000251608],"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":[0.000003543185,0.000008677383,0.00001515902,0.00005622186,0.000003790965,0.000008360332,0.0001195994,0.0001927871,0.0001091837,0.9786481,0.01096135,0.009873381],"study_design_scores_gemma":[0.00000593666,0.000003332293,0.00002657976,0.00002815434,0.000003527547,0.00001969098,0.00003986805,0.0003725603,0.00008350977,0.9436701,0.05574286,0.000003838307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.00645687,0.04344011,0.2031306,0.01031025,0.002456992,0.00009818586,0.0009735965,0.001359415,0.731774],"genre_scores_gemma":[0.4106168,0.03990211,0.08705381,0.002998146,0.007683357,0.0005776551,0.00409917,0.001228548,0.4458404],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.02466551,"threshold_uncertainty_score":0.08251435,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01114813960784172,"score_gpt":0.2399429926877098,"score_spread":0.228794853079868,"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."}}