{"id":"W4381937347","doi":"","title":"On subsets of $\\mathbb(F)_q^n$ containing no k-term progressions","year":2010,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Term (time); Combinatorics; Mathematics; Discrete mathematics; Physics; Quantum mechanics","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":[0.001224453,0.0009341135,0.00142638,0.003966744,0.00585413,0.005880299,0.001964456,0.001476395,0.007585773],"category_scores_gemma":[0.005760479,0.001050253,0.001303477,0.002697769,0.004727247,0.006651376,0.003771567,0.002717407,0.001219414],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003231813,"about_ca_system_score_gemma":0.00100844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004369162,"about_ca_topic_score_gemma":0.003650023,"domain_scores_codex":[0.998661,0.0002798507,0.00007285749,0.0003025316,0.0003456845,0.0003380128],"domain_scores_gemma":[0.9943699,0.003380644,0.0005776203,0.0003194839,0.0005904177,0.0007618853],"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":[0.0003080498,0.0000454237,0.0007025583,0.0001014601,0.00002117784,0.0003879012,0.001048001,0.001100498,0.002793034,0.9874019,0.001961525,0.00412858],"study_design_scores_gemma":[0.00004236028,0.00002313876,0.0008926472,0.00006134164,0.0000206495,0.0003072794,0.0005912187,0.003755022,0.001427788,0.9880069,0.004847503,0.0000241345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7985163,0.001966976,0.07329834,0.002300973,0.0003007125,0.0001001504,0.001243726,0.000391916,0.121881],"genre_scores_gemma":[0.9259421,0.001122679,0.02066039,0.0004524387,0.000269244,0.0002872126,0.001912479,0.0003458532,0.04900762],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007585773,"threshold_uncertainty_score":0.02537692,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02288996872827286,"score_gpt":0.2810263372468316,"score_spread":0.2581363685185588,"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."}}