{"id":"W7084447366","doi":"","title":"Competition of small targets in planar domains: from Dirichlet to Robin and Steklov boundary condition","year":2025,"lang":"en","type":"article","venue":"ArXiv.org","topic":"Orthodontics and Dentofacial Orthopedics","field":"Dentistry","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alexander von Humboldt-Stiftung","keywords":"Eigenfunction; Bounded function; Planar; Dirichlet distribution; Domain (mathematical analysis); Dirichlet boundary condition; Boundary value problem; Boundary (topology); Diffusion","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001103502,0.0008252725,0.0009212862,0.0009699654,0.0007920887,0.001506144,0.001375096,0.001801803,0.001970694],"category_scores_gemma":[0.003545233,0.0005380625,0.0009208284,0.0003605598,0.002894989,0.001813551,0.002061109,0.001178753,0.0003044797],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001224529,"about_ca_system_score_gemma":0.0007432079,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002841125,"about_ca_topic_score_gemma":0.001084586,"domain_scores_codex":[0.9993703,0.0001898683,0.00002273415,0.0001063613,0.0001599401,0.000150746],"domain_scores_gemma":[0.9986945,0.0007182672,0.0002059685,0.00007038604,0.0001609062,0.0001499225],"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":[0.0001520504,0.0001132442,0.001213678,0.0001913457,0.0000436594,0.0006880566,0.0003002657,0.4739586,0.02618379,0.4902476,0.0008740379,0.006033754],"study_design_scores_gemma":[0.00002085018,0.00003886003,0.0002133552,0.00001054885,0.000008635294,0.00008503471,0.00007862273,0.9416509,0.002788084,0.05460971,0.0004754028,0.00001996845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4647851,0.00100318,0.4944514,0.001667417,0.0001564002,0.0001055427,0.0001004352,0.0001972121,0.03753326],"genre_scores_gemma":[0.9641103,0.0003271333,0.02644428,0.0002011629,0.00006616129,0.0001154717,0.00006403753,0.00008059313,0.008590706],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002841125,"threshold_uncertainty_score":0.008884668,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01953529234792146,"score_gpt":0.2748184538606147,"score_spread":0.2552831615126932,"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."}}