{"id":"W2090346444","doi":"10.1016/j.camwa.2007.06.017","title":"Eigenvalues of the Laplacian on an elliptic domain","year":2007,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Laplace operator; p-Laplacian; Domain (mathematical analysis); Mathematical analysis; Pure mathematics; Applied mathematics; Boundary value problem; Physics","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":[0.0004035558,0.0004804449,0.0004794565,0.001686493,0.0006448271,0.001927746,0.0006024063,0.0009694836,0.004801032],"category_scores_gemma":[0.002082969,0.0002995726,0.0002696655,0.0006587445,0.001708201,0.001960544,0.001301249,0.001068167,0.0007037682],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005535589,"about_ca_system_score_gemma":0.0003149606,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004265513,"about_ca_topic_score_gemma":0.0002853416,"domain_scores_codex":[0.9996413,0.00008598957,0.00001403484,0.00005916924,0.0001512407,0.00004824268],"domain_scores_gemma":[0.9991606,0.0003618932,0.00009800059,0.00005574663,0.0001692911,0.0001544351],"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":[0.000107446,0.00007931443,0.0007217003,0.00007343028,0.00001664361,0.000507569,0.0005691577,0.01833287,0.01259935,0.9556151,0.002208689,0.009168765],"study_design_scores_gemma":[0.00003362686,0.00004091419,0.0009654083,0.00002153926,0.000007223313,0.0004360139,0.0003509975,0.155923,0.002300638,0.837723,0.002152279,0.00004529777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.741396,0.000518478,0.2055129,0.002386002,0.000264843,0.00004340505,0.0002172046,0.0002570772,0.04940414],"genre_scores_gemma":[0.9691853,0.0003293917,0.01161893,0.0001217326,0.0001341542,0.00003286109,0.00008817969,0.0000793069,0.01841018],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004801032,"threshold_uncertainty_score":0.01606107,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02567017677898066,"score_gpt":0.3091233471299878,"score_spread":0.2834531703510072,"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."}}