{"id":"W2167682233","doi":"10.37236/310","title":"On a Rado Type Problem for Homogeneous Second Order Linear Recurrences","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Simon Fraser University","keywords":"Mathematics; Combinatorics; Homogeneous; Monochromatic color; Type (biology); Order (exchange); Class (philosophy); Sequence (biology); Function (biology); Generating function; Discrete mathematics; Physics; Computer science","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":[0.00144256,0.000161268,0.000275998,0.00008625511,0.0002770436,0.00002738772,0.0006017533,0.0001110909,0.00008000441],"category_scores_gemma":[0.0007129251,0.00009256138,0.0001424326,0.0002746796,0.00008464689,0.00005597904,0.00003892452,0.001121685,0.000002012246],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005204193,"about_ca_system_score_gemma":0.0003403646,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.587531e-7,"about_ca_topic_score_gemma":0.00001052961,"domain_scores_codex":[0.998716,0.00008161067,0.000384046,0.0001059504,0.0002884482,0.0004239334],"domain_scores_gemma":[0.9976664,0.001034538,0.0004351281,0.0002965529,0.0005074645,0.00005997962],"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":[0.0001846497,0.0001040457,0.00001503241,0.00002940652,0.0001087101,0.000002111529,0.0004636376,0.00000706181,0.0002495016,0.9957757,0.002206714,0.0008534183],"study_design_scores_gemma":[0.0006927426,0.001419133,0.000005697966,0.00001892156,0.00007416623,0.0002058772,0.00004574762,0.00005895789,0.001607141,0.9770371,0.01871446,0.0001200555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9914048,0.001081494,0.00230304,0.0003223418,0.002417234,0.0003670273,0.000003848661,0.00002120646,0.002078962],"genre_scores_gemma":[0.9980617,0.0001404439,0.0007010021,0.00008454162,0.0002650528,0.000004331371,5.568515e-7,0.00002880244,0.0007135629],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01873861,"threshold_uncertainty_score":0.4873227,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01462413701994297,"score_gpt":0.291649845361544,"score_spread":0.2770257083416011,"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."}}