{"id":"W1998139942","doi":"10.1016/s0022-247x(03)00465-7","title":"Differentiators and the geometry of polynomials","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Digital Image Processing Techniques","field":"Computer Science","cited_by":49,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Differentiator; Conjecture; De Bruijn sequence; Mathematics; Operator (biology); Hilbert space; Pure mathematics; Space (punctuation); Algebra over a field; Discrete mathematics; Computer science; Telecommunications","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":[0.0006102863,0.0004911239,0.0005417474,0.001957343,0.0008899536,0.00252468,0.000584687,0.000682866,0.003977805],"category_scores_gemma":[0.003152281,0.000273924,0.0004829611,0.001085508,0.003074069,0.003508278,0.00169143,0.00213761,0.0005724034],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001288274,"about_ca_system_score_gemma":0.0004556159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000977491,"about_ca_topic_score_gemma":0.0005384383,"domain_scores_codex":[0.9995896,0.0001187916,0.00001916883,0.00008479425,0.0001342635,0.00005334235],"domain_scores_gemma":[0.998952,0.0005291203,0.0001542389,0.00006626375,0.0001849477,0.0001134435],"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":[0.00001001428,0.000002539075,0.00005740408,0.00001180699,0.000002089088,0.000023592,0.00007480987,0.0005693781,0.0003035251,0.9947174,0.0003958654,0.003831595],"study_design_scores_gemma":[0.000009711918,0.0000192753,0.0001567792,0.000008416917,0.000003702054,0.0001080849,0.00007414487,0.004517177,0.0002803893,0.9869195,0.007894691,0.00000811174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3021016,0.01510208,0.4922874,0.008666402,0.001334756,0.000042426,0.0004378608,0.0003183331,0.1797093],"genre_scores_gemma":[0.9372963,0.005471266,0.03061969,0.0004217203,0.0009968026,0.00002867096,0.000151593,0.00007439491,0.02493963],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003977805,"threshold_uncertainty_score":0.01330709,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008117234693215418,"score_gpt":0.2514839127944663,"score_spread":0.2433666781012509,"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."}}