{"id":"W3162016557","doi":"10.3390/sci3040037","title":"Table in Gradshteyn and Ryzhik: Derivation of Definite Integrals of a Hyperbolic Function","year":2021,"lang":"en","type":"article","venue":"Sci","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council","keywords":"Mathematics; Trigonometric functions; Hyperbolic function; Positive-definite matrix; Trigonometric integral; Constant (computer programming); Mathematical analysis; Function (biology); Trigonometry; Range (aeronautics); Logarithm; Proofs of trigonometric identities; Special functions; Continuation; Polynomial","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003173526,0.00006488414,0.000244537,0.00008880634,0.00001866513,0.000008835998,0.0000337108,0.00005349218,0.0002742028],"category_scores_gemma":[0.0007270677,0.00005551556,0.00003375088,0.0003422767,0.00003800328,0.00006764888,0.00003068736,0.00005742361,0.000004738775],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007679307,"about_ca_system_score_gemma":0.00004112401,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004798934,"about_ca_topic_score_gemma":0.00008611164,"domain_scores_codex":[0.9993072,0.00004566574,0.0003457275,0.0001057321,0.0001028413,0.00009290691],"domain_scores_gemma":[0.9992561,0.0003498137,0.0001055744,0.0001746051,0.00008822231,0.00002570454],"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":[0.00005687141,0.000384727,0.007837913,0.0009732547,0.00004711491,0.000002179491,0.0008722289,0.000007205436,0.06385742,0.9181727,0.001975325,0.005813066],"study_design_scores_gemma":[0.0007635769,0.000123832,0.007010632,0.0003586148,0.00007541355,0.00001562735,0.000709639,0.0004914129,0.06563118,0.9222724,0.002391919,0.000155701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.99131,0.0002315627,0.002634379,0.0001104229,0.00008044695,0.0000996475,0.000008797647,0.00001116993,0.005513552],"genre_scores_gemma":[0.9896839,0.00004805088,0.009561214,0.00003398275,0.00001966303,0.0000105881,0.000005141072,0.00000879494,0.0006286618],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006926835,"threshold_uncertainty_score":0.3002328,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0586554791583434,"score_gpt":0.3014918587127347,"score_spread":0.2428363795543912,"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."}}