{"id":"W2043268389","doi":"10.1016/j.ejc.2014.10.007","title":"Proof of a conjecture of Kulakova et al. related to the<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">s</mml:mi><mml:mi mathvariant=\"fraktur\">l</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>weight system","year":2014,"lang":"lv","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Diagram; Projection (relational algebra); Combinatorics; Discrete mathematics; Statistics; Algorithm","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":[0.003715385,0.001961204,0.001621034,0.002682465,0.003449845,0.003473525,0.002709558,0.002895203,0.04997019],"category_scores_gemma":[0.0246925,0.001009466,0.00292485,0.00181113,0.004536577,0.009749104,0.007698298,0.00748268,0.01500465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002634672,"about_ca_system_score_gemma":0.002573028,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002836392,"about_ca_topic_score_gemma":0.002202853,"domain_scores_codex":[0.9958791,0.001090401,0.0002089915,0.0008563605,0.001322747,0.0006425062],"domain_scores_gemma":[0.9841487,0.007712679,0.0007933481,0.002817703,0.003291731,0.001235824],"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":[0.0002694781,0.0001953729,0.001317742,0.0006149825,0.0001344465,0.0003897542,0.001245721,0.001401474,0.00123228,0.7360571,0.2347352,0.02240637],"study_design_scores_gemma":[0.0001890437,0.0001124392,0.002128665,0.000211816,0.000111367,0.0007087352,0.0003321585,0.005995918,0.001479615,0.8896385,0.09901236,0.0000794616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05539658,0.00498189,0.2634938,0.201057,0.03305269,0.0005219057,0.005229899,0.003806791,0.4324594],"genre_scores_gemma":[0.651387,0.004055518,0.1285717,0.03713983,0.01298441,0.0009763472,0.008306351,0.002310575,0.1542683],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04997019,"threshold_uncertainty_score":0.1671669,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01293996752845045,"score_gpt":0.2355776412215818,"score_spread":0.2226376736931313,"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."}}