{"id":"W1981103822","doi":"10.1016/j.jmaa.2007.09.058","title":"Sums of powers and majorization","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Majorization; Mathematics; Connection (principal bundle); Combinatorics; Power (physics); Pure mathematics; Discrete mathematics; Geometry; Physics","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":[0.00336227,0.00137518,0.002141835,0.003424906,0.002365507,0.005105318,0.002032309,0.001022673,0.0121359],"category_scores_gemma":[0.01317927,0.0009723113,0.001910761,0.002268911,0.007476103,0.0103048,0.004491616,0.004297886,0.00184159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001151496,"about_ca_system_score_gemma":0.0006432214,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003122256,"about_ca_topic_score_gemma":0.0002794917,"domain_scores_codex":[0.9975827,0.0007509254,0.0001808526,0.0005441125,0.0005919885,0.0003493943],"domain_scores_gemma":[0.992012,0.004627083,0.0007286241,0.0009312519,0.000959165,0.000741913],"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":[0.00002154834,0.000007309309,0.0000778289,0.00001606548,0.00001048094,0.00003474678,0.0000961761,0.0002664818,0.0001851466,0.9955781,0.0008254961,0.002880613],"study_design_scores_gemma":[0.000003515261,0.000004839808,0.00005316019,0.000003919194,0.000006769546,0.00007871011,0.00001938072,0.0009191738,0.0001128977,0.9973586,0.001433602,0.000005409808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1813271,0.005114986,0.5178,0.005508919,0.001681478,0.00008223968,0.0003969794,0.0005425144,0.2875457],"genre_scores_gemma":[0.9066841,0.001777506,0.03455695,0.0008211766,0.002340544,0.0001271923,0.0002118464,0.0004086942,0.05307186],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0121359,"threshold_uncertainty_score":0.04059863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03262140684898775,"score_gpt":0.3414430457448874,"score_spread":0.3088216388958996,"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."}}