{"id":"W2046709619","doi":"10.1155/s0161171200004233","title":"The product of <i>r</i><sup>−<i>k</i></sup> and ∇<i>δ</i> on <i>ℝ</i><sup><i>m</i></sup>","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Cape Breton University","funders":"","keywords":"Mathematics; Product (mathematics); Combinatorics; Geometry","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":[0.001063029,0.0002000693,0.0004007973,0.0001203493,0.000130285,0.0001452945,0.0006266831,0.00004509918,0.0001028639],"category_scores_gemma":[0.000311036,0.0001161314,0.0001187765,0.0002216683,0.0005921023,0.0002654238,0.00006618843,0.00021707,0.0000101493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000252518,"about_ca_system_score_gemma":0.00002182692,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000171531,"about_ca_topic_score_gemma":4.568064e-7,"domain_scores_codex":[0.9978387,0.00002898846,0.0008299225,0.0001669453,0.0009029194,0.0002325174],"domain_scores_gemma":[0.9984766,0.000835234,0.0002216119,0.0001684361,0.0001735255,0.0001245973],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001883667,0.001987063,0.0003954043,0.001010541,0.001481005,0.00009376607,0.009642565,0.1292231,0.005621719,0.3096057,0.008346172,0.5324047],"study_design_scores_gemma":[0.0008513181,0.0007262423,0.00005522705,0.001165043,0.0001777636,0.0008876081,0.001889009,0.4370936,0.01331245,0.5231841,0.02005566,0.0006020988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9559937,0.001856099,0.02020774,0.003124836,0.00009849944,0.0003278959,0.00001801923,0.0001046531,0.01826851],"genre_scores_gemma":[0.937209,0.003234654,0.05899172,0.0001781104,0.0001668953,0.000009527502,5.424411e-7,0.00002506771,0.0001845318],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5318025,"threshold_uncertainty_score":0.47357,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01125372973495993,"score_gpt":0.2638398858308383,"score_spread":0.2525861560958784,"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."}}