{"paper":{"title":"A three-dimensional calculation of atmospheric neutrinos","arxiv_id":"astro-ph/0403630","primary_cat":"astro-ph","submitted_at":"2004-03-26T19:51:24+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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considerations.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.83,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.62,"result":0.0,"background":0.01,"limitation":0.02,"future_work":0.0,"contribution":0.35,"interpretation":0.0}},{"i":2,"p":0.75,"id":"s2","own":true,"role":"contribution","text":"In this paper, we describe the techniques used and quantify the effects of the small approximations which remain.","hedge":{"p":0.84,"label":"asserted"},"own_p":0.84,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.25,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.75,"interpretation":0.0}},{"i":3,"p":0.63,"id":"s3","own":true,"role":"method","text":"We compare 3D and 1D calculations using the same physics input in order to evaluate the conditions under which the 3D calculation is required and when the considerably simpler 1D calculation is adequate.","hedge":{"p":0.66,"label":"asserted"},"own_p":0.86,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.62,"role_probabilities":{"gap":0.0,"method":0.63,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.37,"interpretation":0.0}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"We find that the 1D and 3D results are essentially identical for neutrino energy greater than 5 GeV except for small effects in the azimuthal distributions due to bending of the secondary muon by the geomagnetic field during their propagation in the atmosphere.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.86,"quantitative":true,"quantitative_p":0.98,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":1.0,"text":"We find that the 1D and 3D results are essentially identical for neutrino energy greater 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