{"id":"W3093301246","doi":"10.4153/s0008414x21000110","title":"On directional Whitney inequality","year":2021,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba; University of Alberta","funders":"","keywords":"Smoothness; Regular polygon; Set (abstract data type); Domain (mathematical analysis); Convex body; Convex set; Order (exchange); Inequality","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":[0.00248573,0.001255125,0.001156474,0.001962098,0.001752538,0.002842168,0.001641124,0.001498482,0.01496638],"category_scores_gemma":[0.006129706,0.0004771056,0.001163383,0.001423028,0.003487835,0.005690692,0.002843461,0.004514766,0.001128848],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00228602,"about_ca_system_score_gemma":0.0007354131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002922352,"about_ca_topic_score_gemma":0.002180789,"domain_scores_codex":[0.9985934,0.0004024488,0.00006793118,0.0002428896,0.000403269,0.0002899861],"domain_scores_gemma":[0.9961217,0.001777118,0.0004115835,0.0002716132,0.0005750832,0.0008429206],"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":[0.00004984351,0.00001469473,0.0002969806,0.00003953188,0.000008718339,0.00008495827,0.00008672816,0.001641896,0.00114553,0.9921743,0.001203421,0.003253477],"study_design_scores_gemma":[0.00002227007,0.0000858819,0.0009596579,0.00004123996,0.0000203041,0.0001823974,0.0001292868,0.06555501,0.001451308,0.9238333,0.007681148,0.00003823429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2845536,0.003553105,0.3910784,0.005583755,0.001743859,0.00006946021,0.0007376748,0.0004387291,0.3122415],"genre_scores_gemma":[0.89723,0.001152369,0.03452093,0.001180063,0.001116547,0.00008573225,0.0005518095,0.0002708366,0.06389168],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01496638,"threshold_uncertainty_score":0.05006748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05695035781451297,"score_gpt":0.2886375044676915,"score_spread":0.2316871466531786,"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."}}