{"id":"W1991557646","doi":"10.1145/2768577.2768651","title":"Piecewise functions and convolution integrals (part I, part II)","year":2015,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"École de Technologie Supérieure","funders":"","keywords":"Convolution (computer science); Piecewise; Mathematics; Applied mathematics; Pure mathematics; Mathematical analysis; Calculus (dental); Algebra over a field; Computer science; Artificial intelligence","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":[0.001039562,0.0002000101,0.0003488765,0.0001910072,0.000327777,0.0000824338,0.0008978544,0.0001237356,0.0001346953],"category_scores_gemma":[0.001036735,0.000185096,0.00006901011,0.0003850237,0.0002451208,0.0002431919,0.001521956,0.0003428256,0.0001218603],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009422674,"about_ca_system_score_gemma":0.0000821826,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005580433,"about_ca_topic_score_gemma":0.00016552,"domain_scores_codex":[0.9983535,0.0002966058,0.000654764,0.0002603357,0.0001760573,0.0002587476],"domain_scores_gemma":[0.9950204,0.00156072,0.0001483019,0.002919768,0.000173252,0.0001775598],"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":[0.00001859259,0.0008186159,0.001368606,0.00004986725,0.00008081993,0.000001334952,0.001953918,0.00001403041,0.00001011305,0.6904182,0.2846492,0.02061664],"study_design_scores_gemma":[0.001068388,0.0001995875,0.0003311493,0.0002338483,0.00008346605,0.00005019301,0.0004107536,0.01342761,0.00002737425,0.722987,0.2607878,0.0003928697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8314393,0.003347024,0.0963103,0.02829431,0.002721498,0.002225433,0.0001201723,0.001024437,0.03451752],"genre_scores_gemma":[0.5745395,0.0005097308,0.418696,0.0008656238,0.0005441509,0.0004434404,0.000156591,0.00007230309,0.004172641],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3223857,"threshold_uncertainty_score":0.7547997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1777264546911611,"score_gpt":0.3498927156745609,"score_spread":0.1721662609833998,"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."}}