{"id":"W1972385663","doi":"10.1016/j.crma.2007.01.008","title":"Inequalities for characteristic functions involving Fisher information","year":2007,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Fourier transform; Fisher information; Zhàng; Wave function; Mathematical physics; Statistical physics; Pure mathematics; Physics; Quantum mechanics; Mathematical analysis; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002822282,0.0001229189,0.0001445721,0.00008084349,0.0002095507,0.0001009373,0.0001180251,0.00004340716,0.0006089048],"category_scores_gemma":[0.00001669294,0.0001212852,0.00007345677,0.0001118901,0.00001639892,0.0003039025,0.00003462956,0.000110141,0.0001943876],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002405845,"about_ca_system_score_gemma":0.00003529747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003781308,"about_ca_topic_score_gemma":0.000003171229,"domain_scores_codex":[0.9992131,0.00001168048,0.0003639258,0.0001070558,0.00008335922,0.0002209003],"domain_scores_gemma":[0.9992673,0.0001730608,0.0001693248,0.0002044165,0.0001202385,0.00006565221],"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":[0.00000840716,0.00006299221,0.001102431,0.0000504074,0.0000308547,7.992085e-8,0.0005298579,0.000005920282,0.00100858,0.9710854,0.01703693,0.009078096],"study_design_scores_gemma":[0.001115585,0.0001352085,0.01346342,0.0001483541,0.00008274159,0.000003720367,0.005325146,0.02503799,0.004851398,0.5664848,0.3824622,0.0008894194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1712859,0.00002648157,0.8221171,0.0001985891,0.0002301017,0.0003805684,0.0002113302,0.00008441033,0.005465466],"genre_scores_gemma":[0.996583,0.00000275929,0.001800777,0.0001398598,0.0002508235,0.0002120731,0.0006418779,0.00001430883,0.0003544955],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8252971,"threshold_uncertainty_score":0.666708,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01869755682010846,"score_gpt":0.2601522899996462,"score_spread":0.2414547331795378,"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."}}