{"id":"W2048751273","doi":"10.1016/j.crma.2005.07.021","title":"An extremal problem for Fourier transforms of probabilities","year":2005,"lang":"fr","type":"article","venue":"Comptes Rendus Mathématique","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Fourier transform; Infimum and supremum; Quantum; Mathematical physics; Uncertainty principle; Schrödinger's cat; Combinatorics; Pure mathematics; Mathematical analysis; Quantum mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00258013,0.0006551062,0.001657761,0.0002080836,0.0001871649,0.0001204686,0.0006381702,0.0005363562,0.004694185],"category_scores_gemma":[0.0002470565,0.000538276,0.0008538843,0.0003385385,0.0004586199,0.0006750484,0.00003850253,0.0004301281,0.00006725642],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001227078,"about_ca_system_score_gemma":0.0001888395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003702605,"about_ca_topic_score_gemma":0.0001539961,"domain_scores_codex":[0.9954435,0.0003857174,0.002152982,0.0006020279,0.0005556258,0.0008601095],"domain_scores_gemma":[0.9960208,0.001634244,0.0005369718,0.0009911428,0.000461358,0.0003554877],"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":[0.00008948099,0.002681545,0.00004768501,0.01311473,0.0004233198,0.00000215632,0.007701826,0.0003286107,0.001229288,0.8479484,0.002562915,0.1238701],"study_design_scores_gemma":[0.001353483,0.000796775,0.00002922208,0.00137916,0.0008546525,0.0000471312,0.0008658689,0.1321054,0.02048732,0.7968477,0.04445593,0.0007773055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06914546,0.005481667,0.8969114,0.005796619,0.0002457542,0.003365874,0.0005071447,0.0002050302,0.0183411],"genre_scores_gemma":[0.0743506,0.000395266,0.9157164,0.00008809028,0.0004437524,0.0004862167,0.00005314145,0.0001316561,0.008334862],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1317768,"threshold_uncertainty_score":0.9997069,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05598552806968201,"score_gpt":0.3530947410250234,"score_spread":0.2971092129553414,"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."}}