{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":1,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":1,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"9a1e15ce8100","filters":{"venue":"Theory of Approximation and Applications"}},"results":[{"id":"W2788248547","doi":"","title":"Application of Chebyshev polynomials for solving Abel's integral equations of the first and second kind","year":2018,"lang":"en","type":"article","venue":"Theory of Approximation and Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Chebyshev polynomials; Algebraic equation; Taylor series; Integral equation; Singularity; Numerical analysis; Applied mathematics; Gaussian elimination; Chebyshev equation; Mathematical analysis; Gaussian; Classical orthogonal polynomials; Nonlinear system; Orthogonal polynomials","authors":[{"name":"A. Shahsavaran","is_ca":true},{"name":"M. M. Shamivand","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03738543499352117,"gpt":0.3040910512995305,"spread":0.2667056163060094,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005383927,0.0001083624,0.0002168658,0.0001169009,0.0003068339,0.00001122178,0.000162506,0.00007833707,0.00005192281],"category_scores_gemma":[0.0003664368,0.00009062418,0.0000748357,0.0002665199,0.0006011613,0.0001169606,0.00006057308,0.00006457433,0.000001491578],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002205418,"about_ca_system_score_gemma":0.00004697869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001289852,"about_ca_topic_score_gemma":0.00008051545,"domain_scores_codex":[0.9990081,0.0000407059,0.0005368427,0.00017658,0.0001379744,0.00009978361],"domain_scores_gemma":[0.9975172,0.001127719,0.0005906921,0.0003614625,0.0003706614,0.0000323079],"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":[0.00002310699,0.0001424153,0.00009626705,0.0001945888,0.00003640478,6.259515e-10,0.0007595643,0.000006184963,0.01972177,0.9721159,0.00007958637,0.006824249],"study_design_scores_gemma":[0.0005167726,0.00005748936,0.005348601,0.00006225081,0.000150466,0.000001595722,0.0007382412,0.01310795,0.04561628,0.9331119,0.001166537,0.0001219311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1210574,0.00005525625,0.8754614,0.0004130917,0.00002978002,0.001562539,0.0001881427,0.00002275036,0.001209623],"genre_scores_gemma":[0.9826145,0.000006107312,0.01654999,0.00002438872,0.00006390241,0.0005578796,0.00002866766,0.00001422663,0.0001402979],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8615571,"threshold_uncertainty_score":0.3695547,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}