{"id":"W184408225","doi":"","title":"An Optimal Bound for Sum of Square Roots of Special Type of Integers","year":2006,"lang":"en","type":"article","venue":"","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Integer (computer science); Combinatorics; Square (algebra); Square number; Order (exchange); Upper and lower bounds; Discrete mathematics; Square-free integer; Integer sequence; Generating function","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":[0.004413305,0.001112063,0.002498368,0.001823162,0.001401985,0.003891324,0.003171971,0.00208486,0.007702525],"category_scores_gemma":[0.02974666,0.0006202656,0.0008141199,0.001617332,0.001896217,0.009558821,0.003138174,0.002234513,0.002197786],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002568531,"about_ca_system_score_gemma":0.001803732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005054426,"about_ca_topic_score_gemma":0.0008784228,"domain_scores_codex":[0.9936463,0.001166799,0.0004581899,0.001233455,0.002142929,0.001352453],"domain_scores_gemma":[0.9833308,0.009472914,0.001382676,0.003694974,0.001423749,0.0006948764],"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":[0.009956934,0.0007545996,0.01338799,0.001453158,0.000351062,0.001238713,0.0006936667,0.1748406,0.08015625,0.3979652,0.02837254,0.2908293],"study_design_scores_gemma":[0.0005013063,0.001129651,0.002806188,0.0002445684,0.0002193899,0.002317206,0.0003886141,0.5251149,0.04501636,0.4007107,0.02139745,0.0001536946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5539849,0.005934494,0.3797731,0.005623059,0.0007669164,0.0002277358,0.001038985,0.003227355,0.04942346],"genre_scores_gemma":[0.8750014,0.0005694086,0.119533,0.0004713087,0.0003433666,0.0001076763,0.0004653179,0.0003149311,0.003193552],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007702525,"threshold_uncertainty_score":0.02576751,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01398853937012894,"score_gpt":0.2642710897891145,"score_spread":0.2502825504189855,"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."}}