{"id":"W795942942","doi":"10.1016/j.physd.2016.04.008","title":"Correlation functions of the KdV hierarchy and applications to intersection numbers over <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mover accent=\"false\"><mml:mrow><mml:mi mathvariant=\"script\">M</mml:mi></mml:mrow><mml:mo accent=\"true\">¯</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>","year":2016,"lang":"lv","type":"article","venue":"Physica D Nonlinear Phenomena","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Intersection (aeronautics); Series (stratigraphy); Scroll; Generating function; Hierarchy; Mathematics; Function (biology); Type (biology); KdV hierarchy; Correlation; Discrete mathematics; Pure mathematics; Combinatorics; Korteweg–de Vries equation; Algebra over a field; Geometry; Physics; Engineering","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002175166,0.000674242,0.001127497,0.005903271,0.002242484,0.004749228,0.001704267,0.0009143275,0.01309452],"category_scores_gemma":[0.01628686,0.0005481158,0.0008389074,0.006688728,0.002883574,0.005418955,0.002822182,0.002633203,0.002286726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004439658,"about_ca_system_score_gemma":0.002545925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01060645,"about_ca_topic_score_gemma":0.007507642,"domain_scores_codex":[0.9986284,0.0004421307,0.00006149038,0.0001699424,0.0004910103,0.0002069559],"domain_scores_gemma":[0.9941961,0.002777291,0.0004819481,0.0004530987,0.001418476,0.0006731491],"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":[0.00001252144,0.00000960565,0.0003901505,0.00003975941,0.000004862519,0.0000194806,0.0001006603,0.003556195,0.00006552155,0.9769754,0.004322506,0.01450342],"study_design_scores_gemma":[0.000007995301,0.00001042973,0.0005282909,0.00004446638,0.000006820987,0.0000673068,0.000103765,0.09362958,0.0002553826,0.8952474,0.01007643,0.00002200649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07650555,0.005105603,0.8140529,0.00385239,0.0005100071,0.00009373282,0.0008936665,0.001339763,0.09764633],"genre_scores_gemma":[0.8235875,0.004261442,0.1263764,0.0005861792,0.0007914269,0.0002447711,0.001449152,0.0009068356,0.04179628],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01309452,"threshold_uncertainty_score":0.04380554,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01622300846526377,"score_gpt":0.2419128159050959,"score_spread":0.2256898074398321,"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."}}