{"id":"W3216450391","doi":"10.1007/s00493-020-4264-0","title":"The Ramsey Properties for Grassmannians Over ℝ, ℂ","year":2021,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Collège Lionel Groulx","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Fundação de Amparo à Pesquisa do Estado de São Paulo; Instituto de Ciencias Matemáticas; National Science Foundation","keywords":"Mathematics; Rothschild; Combinatorics; Factorization; Finite field; Metric (unit); Ramsey theory; Dual (grammatical number); Field (mathematics); Discrete mathematics; Integer (computer science); Pure mathematics; Algorithm","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001225938,0.0006454684,0.000852068,0.001679972,0.003280452,0.003768508,0.0009043731,0.001060073,0.007926099],"category_scores_gemma":[0.002592318,0.0006948757,0.0008908708,0.00168846,0.005161511,0.01084656,0.002596327,0.003180731,0.0008394515],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001665028,"about_ca_system_score_gemma":0.0008570894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002130379,"about_ca_topic_score_gemma":0.001711197,"domain_scores_codex":[0.9993119,0.000147768,0.00004182845,0.0001832775,0.0001482105,0.0001670401],"domain_scores_gemma":[0.9985029,0.0005937289,0.0002419855,0.0001917865,0.0001698434,0.0002998313],"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":[0.00002870446,0.000008694186,0.00009153107,0.00001473856,0.000003247073,0.00002734038,0.0002676133,0.0001184248,0.0002413444,0.9972144,0.0006348573,0.001349171],"study_design_scores_gemma":[0.00001312156,0.00001106537,0.00023558,0.000006812971,0.000007088336,0.00007725695,0.0001405203,0.0005295968,0.000216468,0.9964488,0.002303933,0.000009874564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6923454,0.003569729,0.08208027,0.007453148,0.0007025608,0.00008434689,0.0007547986,0.0004349832,0.2125747],"genre_scores_gemma":[0.9749013,0.0008753166,0.006688548,0.0005299543,0.0003851655,0.00005766944,0.0002289558,0.00007237391,0.01626078],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007926099,"threshold_uncertainty_score":0.02651548,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05685348400987948,"score_gpt":0.32288979978794,"score_spread":0.2660363157780605,"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."}}