{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001903746,0.00009071732,0.0001375757,0.00001056324,0.000447963,0.00002344164,0.0001668942,0.00006946462,0.00002373831],"category_scores_gemma":[0.0009083559,0.00005862119,0.00007918014,0.00008673973,0.0001142818,0.00004552977,0.00006208158,0.0001184835,0.00001393628],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003327864,"about_ca_system_score_gemma":0.00005030592,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.003806e-7,"about_ca_topic_score_gemma":0.000003721062,"domain_scores_codex":[0.9993383,0.00007078312,0.0001427132,0.0001453741,0.0000801838,0.0002226079],"domain_scores_gemma":[0.9987172,0.0007414572,0.00005059187,0.0003448178,0.0001110909,0.00003476721],"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":[0.00002725737,0.00008050734,0.00005766189,0.00002738017,0.0000311747,0.000006287384,0.0002227863,4.270237e-7,0.000254081,0.9847787,0.01332122,0.001192496],"study_design_scores_gemma":[0.0003523217,0.00003426594,0.00004535927,0.0000091782,0.00001738212,0.000006950811,0.0002162356,0.00003687246,0.00414885,0.8551552,0.1398963,0.00008104086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7358917,0.02451586,0.1051168,0.02877792,0.01292146,0.003584075,0.00004903569,0.001492849,0.08765033],"genre_scores_gemma":[0.9743714,0.00009602866,0.001281441,0.0002638862,0.00007147361,0.0001316461,0.000002724518,0.00002875405,0.02375268],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2384797,"threshold_uncertainty_score":0.3445415,"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."}}