{"id":"W1889519519","doi":"10.1088/1742-6596/626/1/012015","title":"How to (path-) integrate by differentiating","year":2015,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Laplace transform; Inverse Laplace transform; Path integral formulation; Simple (philosophy); Order of integration (calculus); Fourier transform; Inverse; Two-sided Laplace transform; Set (abstract data type)","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":[0.001020267,0.000768405,0.0005902855,0.001077719,0.000871538,0.001991381,0.0009392376,0.0008226227,0.02024609],"category_scores_gemma":[0.004698946,0.0004356322,0.0009871221,0.0006730513,0.001692622,0.004303517,0.001096136,0.002779319,0.01481723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007502997,"about_ca_system_score_gemma":0.00101446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00298409,"about_ca_topic_score_gemma":0.003999423,"domain_scores_codex":[0.9992983,0.000113249,0.00005454588,0.0001607993,0.0003202625,0.00005278662],"domain_scores_gemma":[0.9991791,0.0002657219,0.00004992553,0.0001829517,0.0002808974,0.0000414937],"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":[0.00005435563,0.00006593058,0.0005066538,0.0005409683,0.00005073058,0.0004076084,0.0007450046,0.007113502,0.01455322,0.5648719,0.04259769,0.3684925],"study_design_scores_gemma":[0.00002768857,0.00002696804,0.00034788,0.0001636446,0.00003340181,0.0006560006,0.000247173,0.02861241,0.01033668,0.7784545,0.1810108,0.0000827921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003298464,0.001317688,0.9711585,0.003295253,0.001219773,0.00006199718,0.0002315022,0.001628177,0.01778851],"genre_scores_gemma":[0.03894899,0.002641926,0.9339052,0.001326954,0.0003719023,0.0001102987,0.0002892635,0.002296148,0.02010944],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02024609,"threshold_uncertainty_score":0.06772989,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0968427369113737,"score_gpt":0.3044454666417155,"score_spread":0.2076027297303418,"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."}}