{"id":"W2067700117","doi":"10.1080/10652461003593294","title":"Integral Representations for the Euler-Mascheroni Constant γ","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Digamma function; Mathematics; Euler's formula; Constant (computer programming); Variety (cybernetics); Calculus (dental); Pure mathematics; Riemann zeta function; Mathematical analysis; Arithmetic zeta function; Computer science; Prime zeta 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002035106,0.0001939326,0.0002412667,0.00006479778,0.0005823677,0.0001396701,0.0001671668,0.0001110169,0.001011955],"category_scores_gemma":[0.0008598876,0.0001123186,0.0002208229,0.0001450444,0.0004681657,0.0002906115,0.00001997911,0.0005228567,0.00001870168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002260263,"about_ca_system_score_gemma":0.00004951932,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000462346,"about_ca_topic_score_gemma":0.003565348,"domain_scores_codex":[0.9989052,0.00001203878,0.0003823089,0.0002292595,0.0001816165,0.0002896181],"domain_scores_gemma":[0.997629,0.001771502,0.00005927261,0.0002851774,0.0001544202,0.0001006494],"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":[0.00004635674,0.00007630093,0.00004345003,0.00002948953,0.0000645453,8.520742e-7,0.00081014,0.000001400282,0.0009588767,0.9844203,0.006634525,0.006913782],"study_design_scores_gemma":[0.0005098144,0.00008430705,0.0001265367,0.00002412651,0.0001336952,0.00002750505,0.005644449,0.0003107608,0.0005373703,0.9187678,0.07366049,0.0001731497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08538271,0.0001047448,0.7904226,0.006139813,0.005348506,0.002089893,0.0003557676,0.0003088356,0.1098472],"genre_scores_gemma":[0.8875774,0.000237457,0.05435413,0.0002166586,0.006337076,0.001230768,0.00005388377,0.0001370237,0.04985564],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8021947,"threshold_uncertainty_score":0.9999012,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04745206437679829,"score_gpt":0.3326066850075009,"score_spread":0.2851546206307026,"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."}}