{"id":"W2334895829","doi":"10.5486/pmd.2013.5754","title":"On the number of solutions of binomial Thue inequalities","year":2013,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Regional Development Fund; Natural Sciences and Engineering Research Council of Canada; Magyar Tudományos Akadémia; European Commission","keywords":"Mathematics; Binomial (polynomial); Inequality; Binomial coefficient; Statistics; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004584262,0.001033867,0.001358163,0.003025369,0.001879522,0.004527705,0.002631195,0.002101149,0.01216585],"category_scores_gemma":[0.03372035,0.0005302964,0.001028534,0.002117159,0.004808425,0.006503466,0.003234006,0.004188691,0.001010651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001758837,"about_ca_system_score_gemma":0.001046383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007604525,"about_ca_topic_score_gemma":0.0006773649,"domain_scores_codex":[0.9979619,0.0007185749,0.00009427953,0.000311669,0.0003932838,0.0005204086],"domain_scores_gemma":[0.9765154,0.01997623,0.001231876,0.0004725716,0.0007477793,0.001056149],"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":[0.0003843054,0.00007213589,0.002037017,0.000277854,0.00007196411,0.0002026337,0.0003797979,0.01104488,0.003323568,0.9607024,0.003491526,0.018012],"study_design_scores_gemma":[0.00006905871,0.00007801956,0.001059273,0.0001043138,0.00004761255,0.0003106928,0.0001967945,0.07472725,0.002262149,0.9179575,0.003136172,0.00005123274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6091689,0.005484337,0.2355836,0.01368476,0.0008033827,0.0001586992,0.0007085146,0.0003258841,0.1340819],"genre_scores_gemma":[0.9425097,0.002237854,0.03475841,0.0008036913,0.0004713937,0.0003737045,0.0005251304,0.0001527503,0.01816729],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01216585,"threshold_uncertainty_score":0.04069883,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07953037081699482,"score_gpt":0.3174290614265278,"score_spread":0.237898690609533,"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."}}