{"id":"W1572320308","doi":"10.1007/978-1-4757-3240-5_17","title":"On the Use of the Discovered Factors to Sum Infinite Series","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Series (stratigraphy); Mathematics; Combinatorics; Infinite product; Expression (computer science); Discrete mathematics; Computer science","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00006662004,0.0002372611,0.0002816201,0.00004010866,0.0001058243,0.0000558982,0.0003695189,0.0001148414,0.00314789],"category_scores_gemma":[0.0001371203,0.0001041088,0.0001939936,0.00003666891,0.00008388274,0.00003387343,0.0001137004,0.0001819575,0.00009691919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001638426,"about_ca_system_score_gemma":0.00003037855,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001648364,"about_ca_topic_score_gemma":0.00009623597,"domain_scores_codex":[0.999083,0.0000113441,0.0003550258,0.0001552786,0.0002837034,0.0001116753],"domain_scores_gemma":[0.9975104,0.001080285,0.0002104037,0.001119058,0.00004260689,0.00003729578],"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":[0.000003466201,0.00002161,0.000001242429,0.00003108526,0.00003702778,7.355371e-8,0.0003035329,0.000005572401,0.000008641934,0.9363749,0.06316815,0.00004470857],"study_design_scores_gemma":[0.00002329232,0.000017536,0.000006419871,0.000151706,0.00004006987,5.106242e-7,0.00002393654,0.000007331892,0.0002451815,0.6168221,0.3825429,0.0001189608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.007031312,0.000003607953,0.0003851442,0.001906269,0.00005684131,0.001302423,0.0006075645,0.00003961618,0.9886672],"genre_scores_gemma":[0.007975814,0.00002564336,0.001589528,0.0003764675,0.00002980375,0.00003588113,0.00001177321,0.00006259743,0.9898925],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3195528,"threshold_uncertainty_score":0.9977634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1554785055010848,"score_gpt":0.2860147159916444,"score_spread":0.1305362104905596,"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."}}