{"id":"W293367708","doi":"10.1016/j.camwa.2007.06.029","title":"Dynamics of the difference equation <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si14.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>p</mml:mi><mml:mspace width=\"0.16667em\"/><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:mfrac></mml:math>","year":2008,"lang":"lv","type":"article","venue":"Computers & Mathematics with Applications","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Scroll; Mathematics; Algorithm; Theology; Philosophy","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":["metaresearch","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.01202164,0.005671781,0.002212637,0.004706228,0.01043797,0.007594274,0.01535904,0.01557272,0.9460109],"category_scores_gemma":[0.01303458,0.0123706,0.01177412,0.009140292,0.01499077,0.007390204,0.0130127,0.01157952,0.01043927],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001460691,"about_ca_system_score_gemma":0.01080235,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009883326,"about_ca_topic_score_gemma":0.01229138,"domain_scores_codex":[0.946266,0.004180172,0.01155368,0.01029839,0.01347761,0.01422417],"domain_scores_gemma":[0.9497222,0.01352501,0.01394459,0.01268335,0.001619818,0.008505004],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.008072476,0.002373308,0.00009109525,0.006490711,0.01040416,0.005728496,0.005754448,0.008115242,0.004519101,0.2545086,0.6885074,0.005434948],"study_design_scores_gemma":[0.01051354,0.008288957,0.0002737212,0.007302789,0.01209362,0.01135392,0.007802682,0.01476089,0.9045826,0.003433605,0.00872932,0.01086432],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1393223,0.005813502,0.01122674,0.004327661,0.01097886,0.0003202332,0.002456852,0.001608319,0.8239456],"genre_scores_gemma":[0.9305623,0.008250506,0.01188973,0.008254127,0.009930592,0.01309602,0.00992991,0.006549106,0.001537683],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9355716,"threshold_uncertainty_score":0.9981227,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02089697239658908,"score_gpt":0.246796140120807,"score_spread":0.2258991677242179,"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."}}