{"id":"W4366274187","doi":"10.33774/coe-2023-wv4rc","title":"Gamma Function derived from Factorial Function based-Pi Function","year":2023,"lang":"en","type":"preprint","venue":"","topic":"Advanced Algorithms and Applications","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Factorial; Function (biology); Gamma function; Factorial experiment; Factorial analysis; Pi; Fractional factorial design; Mathematics; Pure mathematics; Statistics; Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.001514408,0.0009658461,0.000764619,0.003230735,0.0008943356,0.002039302,0.001114862,0.001262075,0.006770931],"category_scores_gemma":[0.009740031,0.0003256252,0.001322493,0.002112983,0.001808026,0.003290609,0.001953897,0.002927438,0.00332456],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001397085,"about_ca_system_score_gemma":0.001054739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009156783,"about_ca_topic_score_gemma":0.0005965266,"domain_scores_codex":[0.999027,0.0002668587,0.00004942731,0.0001908129,0.000343804,0.0001221252],"domain_scores_gemma":[0.9977905,0.0009980039,0.0001483893,0.0002788861,0.0006760384,0.0001081579],"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":[0.00003176691,0.00001467187,0.0007887458,0.0001142952,0.00001598383,0.000262078,0.0001729986,0.01173832,0.003534529,0.93588,0.003266196,0.04418031],"study_design_scores_gemma":[0.000008618142,0.00003674162,0.0006738118,0.00006036713,0.00002248028,0.0008595947,0.00005891408,0.08716191,0.003773131,0.8868614,0.0204463,0.00003651116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.01402136,0.001554036,0.9496052,0.0005050271,0.0003109323,0.00003021402,0.0001000629,0.0003341555,0.03353902],"genre_scores_gemma":[0.5668509,0.005365735,0.384395,0.001278369,0.001121542,0.0002846064,0.0004846278,0.001266378,0.03895281],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.006770931,"threshold_uncertainty_score":0.02265102,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02608562678682345,"score_gpt":0.2320160047168332,"score_spread":0.2059303779300097,"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."}}