{"id":"W2130130502","doi":"10.1109/sfcs.1984.715894","title":"Log Depth Circuits For Division And Related Problems","year":2005,"lang":"en","type":"article","venue":"","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":63,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Division (mathematics); Divisibility rule; Integer (computer science); Electronic circuit; Boolean circuit; Space (punctuation); Boolean function; Mathematics; Circuit complexity; Algorithm; Computer science; Discrete mathematics; Arithmetic; Engineering","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":[0.0002361151,0.00006307151,0.00008848619,0.00002723129,0.00006629495,0.00006723224,0.0001895819,0.00003489746,0.00001024081],"category_scores_gemma":[0.00003592663,0.00004497422,0.00002660726,0.0001399758,0.00001700798,0.0002282405,0.0000905286,0.00004725095,0.00001492585],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000772455,"about_ca_system_score_gemma":0.000007357244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000548399,"about_ca_topic_score_gemma":0.00000164619,"domain_scores_codex":[0.9993757,0.00002356186,0.0001228064,0.000235239,0.00008026504,0.0001624548],"domain_scores_gemma":[0.9996017,0.000113118,0.00002901518,0.0001546946,0.00002672962,0.00007474842],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[1.123083e-7,0.00001875675,0.0001462569,0.000003915887,0.000002733388,2.923644e-7,0.00006447135,0.00002195651,0.0005040138,0.02133481,0.0001343065,0.9777684],"study_design_scores_gemma":[0.000933512,0.0003563051,0.01175637,0.00002805889,0.000005673588,0.00002530248,0.000007718019,0.8131008,0.002443909,0.1222259,0.04877679,0.0003396427],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001456952,0.0001420407,0.9920991,0.001707113,0.0001125593,0.0001635533,3.396555e-7,0.0001118319,0.004206484],"genre_scores_gemma":[0.2365142,0.0000124685,0.7617577,0.0002827129,0.00003041818,0.00001198737,4.163046e-7,0.000004746382,0.001385404],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9774287,"threshold_uncertainty_score":0.1833996,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02844324645905073,"score_gpt":0.2895281330211929,"score_spread":0.2610848865621422,"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."}}