{"id":"W2756330135","doi":"10.1016/j.aim.2017.09.013","title":"Two-end solutions to the Allen–Cahn equation in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"> <mml:msup> <mml:mrow> <mml:mi mathvariant=\"double-struck\">R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:msup> </mml:math>","year":2017,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Sleep Foundation; Fundamental Research Funds for the Central Universities; National Science Foundation","keywords":"Mathematics; Axial symmetry; Scroll; Euclidean geometry; Euclidean space; Logarithm; Space (punctuation); Mathematical analysis; Geometry; Computer science; Theology","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":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002923831,0.001086857,0.000628008,0.0006002362,0.002279525,0.001894593,0.003183887,0.001678838,0.07196575],"category_scores_gemma":[0.004633216,0.001675477,0.001302831,0.0009728316,0.001502097,0.002525331,0.002524944,0.001926012,0.003739238],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005985078,"about_ca_system_score_gemma":0.001362501,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001085938,"about_ca_topic_score_gemma":0.006764885,"domain_scores_codex":[0.9896059,0.0005037541,0.002890731,0.001677432,0.002767432,0.002554748],"domain_scores_gemma":[0.9888746,0.00300352,0.00301598,0.004060045,0.0002551607,0.0007906587],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0006300758,0.000883494,0.00001160862,0.001827705,0.0007985426,0.0004548739,0.006672964,0.006558393,0.001020071,0.9590487,0.01956068,0.002532832],"study_design_scores_gemma":[0.0039592,0.001126228,0.0001033512,0.002952202,0.001745302,0.0006923242,0.005219615,0.7158096,0.2529504,0.00846049,0.004876758,0.002104533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5346347,0.001721647,0.02601883,0.002515109,0.004483703,0.000327932,0.0008798243,0.0003658171,0.4290524],"genre_scores_gemma":[0.9600951,0.001695265,0.03174941,0.000644804,0.001891847,0.00168654,0.0007873141,0.0007375572,0.000712159],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9505883,"threshold_uncertainty_score":0.9996172,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0408170939737178,"score_gpt":0.2974388550952011,"score_spread":0.2566217611214833,"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."}}