{"id":"W2105605992","doi":"10.1002/qua.10622","title":"Sufficient condition for monotonic electron density decay in many‐electron systems","year":2003,"lang":"en","type":"article","venue":"International Journal of Quantum Chemistry","topic":"Advanced Chemical Physics Studies","field":"Physics and Astronomy","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"University of North Carolina at Chapel Hill; Canada Research Chairs","keywords":"Monotonic function; Pauli exclusion principle; Electron; Electron density; Kinetic energy; Quantum; Ground state; Chemistry; Physics; Atomic physics; Quantum mechanics; Mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000153476,0.0001354238,0.0002247466,0.00003811416,0.0000360917,0.00003110562,0.0002091424,0.00003614526,0.00001971717],"category_scores_gemma":[0.00002358624,0.0001328277,0.0001420155,0.00006047823,0.00003420617,0.000117628,0.0000194703,0.0002453798,0.000002290434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000288714,"about_ca_system_score_gemma":0.00009552063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008263532,"about_ca_topic_score_gemma":2.524786e-7,"domain_scores_codex":[0.9989128,0.00001569526,0.00042356,0.0001466486,0.0002738857,0.0002273736],"domain_scores_gemma":[0.9989505,0.0001112199,0.0004006816,0.00008120511,0.0004037351,0.00005264355],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0002587849,0.0006749349,0.009049974,0.00005112287,0.0004465171,0.0000148177,0.0001424877,0.0153044,0.8665299,0.1067797,0.0006032844,0.0001440623],"study_design_scores_gemma":[0.001089365,0.00004366233,0.0001886078,0.00007550322,0.0000228632,0.00002226097,0.0002308851,0.0006367421,0.962801,0.03361762,0.001117454,0.0001540083],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.970544,0.0002129008,0.02692916,0.0000688396,0.00027842,0.00008853247,0.00001858102,0.000005560677,0.001853995],"genre_scores_gemma":[0.9994126,0.00001065201,0.0000862606,0.000008931089,0.0003395842,0.0000157224,0.00002205082,0.0000140175,0.00009018394],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09627114,"threshold_uncertainty_score":0.5416558,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008530329417557507,"score_gpt":0.285889759751319,"score_spread":0.2773594303337615,"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."}}