{"id":"W4404245129","doi":"10.28924/2291-8639-22-2024-204","title":"On the Non-Linearity of S-Type Variable Exponent Absolutely Summable New Difference Sequence Space","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Jeddah","keywords":"Mathematics; Sequence (biology); Type (biology); Linearity; Exponent; Space (punctuation); Pure mathematics; Sequence space; Mathematical analysis; Discrete mathematics; Linguistics; Banach space; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005763398,0.0000846652,0.000195711,0.0002055032,0.00006495026,0.0001026617,0.0003386944,0.00003549733,0.0002127783],"category_scores_gemma":[0.0001665375,0.00005360161,0.0001293607,0.0005468737,0.00007561129,0.0001148553,0.00003640058,0.0001635545,0.000006610963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003486225,"about_ca_system_score_gemma":0.0001197512,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006961203,"about_ca_topic_score_gemma":0.00001007542,"domain_scores_codex":[0.9990298,0.00003856709,0.0003833109,0.0001180812,0.0003567325,0.00007351134],"domain_scores_gemma":[0.9983995,0.0007260916,0.0002900444,0.0001652254,0.0003624737,0.00005668683],"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":[0.00002639373,0.0000763568,0.0001502774,0.00001749417,0.0008679668,0.000002548931,0.0003140449,0.0007909263,0.005674235,0.9896633,0.001109127,0.001307316],"study_design_scores_gemma":[0.0001374488,0.00007138943,0.0004102502,0.0001556624,0.0006183057,0.00002233873,0.0003069477,0.02909319,0.005469145,0.9598204,0.003781298,0.0001135933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2261286,0.0002617845,0.767059,0.004539879,0.0001374814,0.0001479753,0.00003256666,0.00001456772,0.001678182],"genre_scores_gemma":[0.9885197,0.0002197357,0.009035732,0.00007326304,0.0001439292,0.0000070677,0.000005466385,0.000005949442,0.001989208],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7623911,"threshold_uncertainty_score":0.2329773,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05670308526878918,"score_gpt":0.3489606934626699,"score_spread":0.2922576081938807,"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."}}