{"id":"W2057653484","doi":"10.1063/1.3596359","title":"Multidimensional wave field signal theory: Mathematical foundations","year":2011,"lang":"en","type":"article","venue":"AIP Advances","topic":"Ultrasonics and Acoustic Wave Propagation","field":"Engineering","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematical theory; Inverse problem; Helmholtz equation; Field (mathematics); Fourier transform; Generalized function; Multidimensional systems; Helmholtz free energy; Mathematics; Applied mathematics; Transfer function; Domain (mathematical analysis); Mathematical model; Frequency domain; Integral transform; Computer science; Linear system; Mathematical analysis; Boundary value problem; Physics; Pure mathematics","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":[0.001722772,0.0008357478,0.0006830313,0.002400688,0.0005868596,0.002410504,0.001154587,0.001414134,0.003000494],"category_scores_gemma":[0.002681813,0.000377865,0.0009546202,0.001677622,0.003049957,0.004060363,0.00167712,0.002750035,0.001354606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001100241,"about_ca_system_score_gemma":0.0008536425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001065538,"about_ca_topic_score_gemma":0.0005116891,"domain_scores_codex":[0.9993062,0.0001967271,0.00005419393,0.0001208048,0.0002727997,0.00004927148],"domain_scores_gemma":[0.9984313,0.0008276436,0.0001609656,0.0001634345,0.0003479666,0.00006873637],"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":[0.00000356579,0.00001153262,0.00007882919,0.0001090278,0.000006140187,0.00004692763,0.0000940414,0.004352669,0.0008512559,0.9833853,0.001031479,0.0100293],"study_design_scores_gemma":[0.00000635952,0.00002491827,0.0002011968,0.00006377404,0.000006000105,0.000181728,0.00004751721,0.04412199,0.000568761,0.934803,0.01995366,0.00002101441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.006089759,0.009143803,0.9609113,0.00241446,0.0003709806,0.00004801668,0.0003196446,0.0001051933,0.02059685],"genre_scores_gemma":[0.3203929,0.04136266,0.6067461,0.002320075,0.003838256,0.0005637469,0.0008182814,0.0002302267,0.02372777],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003000494,"threshold_uncertainty_score":0.01003766,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02033017077907182,"score_gpt":0.2263286721824808,"score_spread":0.205998501403409,"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."}}