{"id":"W6979314228","doi":"","title":"Compatibility of Real-Rooted Polynomials with Mixed Signs","year":2024,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Compatibility (geochemistry); Interlacing; Algebra over a field; Characterization (materials science); Invariant (physics); Orthogonal polynomials","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001742386,0.0001251991,0.0001840313,0.0001486949,0.00006531543,0.00005467547,0.0004958759,0.0000454707,0.00001780349],"category_scores_gemma":[0.00001031949,0.0001139301,0.00007616905,0.0009382367,0.0001011976,0.0004571567,0.0001532807,0.0000934812,0.00003590319],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007038396,"about_ca_system_score_gemma":0.0001519034,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003900621,"about_ca_topic_score_gemma":0.0001077877,"domain_scores_codex":[0.9990199,0.00008690533,0.0001521371,0.0004841077,0.00006974603,0.0001872213],"domain_scores_gemma":[0.9991794,0.0001804623,0.00006846389,0.0004101122,0.0000690754,0.00009254435],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001407474,0.0002370065,0.005302755,0.000157731,0.000172963,0.0003732422,0.00102174,0.04052246,0.0102108,0.9272953,0.0009863157,0.01357889],"study_design_scores_gemma":[0.0007978776,0.0004815427,0.02619601,0.0001290436,0.00005952142,0.00001200702,0.00009002136,0.9310209,0.01045713,0.02980706,0.0005075656,0.0004413016],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6320685,0.00001995424,0.3661718,0.00007755936,0.000153205,0.00008410809,0.000004632298,0.0001776822,0.001242631],"genre_scores_gemma":[0.9985988,0.0000084728,0.0009911206,0.00002042156,0.00002888967,2.002114e-7,0.000003502672,0.000006371515,0.0003422507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8974883,"threshold_uncertainty_score":0.4645934,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04694850571576743,"score_gpt":0.1858478639327857,"score_spread":0.1388993582170183,"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."}}