{"id":"W2002448500","doi":"10.1016/j.powtec.2010.10.025","title":"A series exact solution for one-dimensional non-linear particle equation of motion","year":2010,"lang":"en","type":"article","venue":"Powder Technology","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Homotopy analysis method; Series (stratigraphy); Nonlinear system; Particle (ecology); Magnetosphere particle motion; Homotopy; Equations of motion; Motion (physics); Mathematics; Mechanics; Mathematical analysis; Applied mathematics; Classical mechanics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005250313,0.0006806192,0.0008878544,0.001060629,0.0007914132,0.001216292,0.0009806952,0.002226768,0.003716948],"category_scores_gemma":[0.001923058,0.0002380253,0.0008088471,0.0006772623,0.001538074,0.002126684,0.001006125,0.001288869,0.0004051043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008421137,"about_ca_system_score_gemma":0.0007265671,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001259013,"about_ca_topic_score_gemma":0.0009898914,"domain_scores_codex":[0.9998234,0.0000402652,0.00001014725,0.00003275985,0.00006756618,0.00002592865],"domain_scores_gemma":[0.9997217,0.00009095565,0.00003383167,0.00002038276,0.00008412159,0.00004895714],"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":[0.00005721184,0.00006118928,0.0004067649,0.0001996779,0.00002679096,0.000386883,0.000244706,0.02388821,0.00687504,0.9544867,0.002665668,0.01070109],"study_design_scores_gemma":[0.00005688979,0.00006675448,0.0007260328,0.00004555861,0.00003396248,0.0006531214,0.0001626201,0.5752901,0.002318274,0.4137259,0.006874104,0.00004665225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1708788,0.004638528,0.7095382,0.004324602,0.001803096,0.0001534841,0.000236748,0.0002578678,0.1081687],"genre_scores_gemma":[0.7895492,0.003123622,0.107851,0.001041921,0.0009312383,0.0001830573,0.0002758715,0.0001670763,0.09687703],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003716948,"threshold_uncertainty_score":0.01243442,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06812947445729575,"score_gpt":0.3260635610980392,"score_spread":0.2579340866407435,"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."}}