{"id":"W1970979661","doi":"10.1016/j.jmr.2010.07.012","title":"Exact solution to the Bloch equations and application to the Hahn echo","year":2010,"lang":"en","type":"article","venue":"Journal of Magnetic Resonance","topic":"NMR spectroscopy and applications","field":"Physics and Astronomy","cited_by":33,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bloch equations; Exact solutions in general relativity; Echo (communications protocol); Offset (computer science); Relaxation (psychology); Bloch wave; Field (mathematics); Bloch space; Mathematical analysis; Mathematics; Physics; Quantum mechanics","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":[0.0003211713,0.00006767944,0.00007794781,0.0000284639,0.0002623351,0.00006604871,0.0002623904,0.00001741686,0.00009536331],"category_scores_gemma":[0.00002445786,0.00003989858,0.00003874002,0.0001922901,0.000035191,0.00005327625,0.00003642651,0.0002461804,0.00005589458],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008296041,"about_ca_system_score_gemma":0.00003891311,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006268213,"about_ca_topic_score_gemma":0.00007355441,"domain_scores_codex":[0.9993978,0.00002315778,0.0002060973,0.00009857555,0.0001513998,0.0001229299],"domain_scores_gemma":[0.9993487,0.0001004491,0.0001188585,0.0002619923,0.00009515382,0.00007487349],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003644296,0.0001450577,0.003184794,0.000003123668,0.00001245092,2.879432e-7,0.001146449,0.0004206664,0.09288978,0.1024542,0.02298261,0.7767242],"study_design_scores_gemma":[0.0002424986,0.0001653056,0.07411884,0.00001717457,0.00003640543,0.000008496392,0.0001791277,0.002873471,0.003730253,0.008150889,0.9103667,0.0001108027],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3849953,0.001060559,0.5305988,0.07735322,0.0002978787,0.0009377764,0.00002959635,0.00001115024,0.004715756],"genre_scores_gemma":[0.9947922,0.0000139354,0.003503498,0.0003001086,0.0007314564,0.00007234771,9.065109e-7,0.000006150858,0.0005793684],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8873841,"threshold_uncertainty_score":0.2017696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006469540570382947,"score_gpt":0.2927088127879792,"score_spread":0.2862392722175963,"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."}}