{"id":"W2016117309","doi":"10.1007/s00033-012-0217-9","title":"A minimum principle for the problem of St-Venant in $${\\mathbb{R}^N, N \\geq 2}$$","year":2012,"lang":"de","type":"article","venue":"Zeitschrift für angewandte Mathematik und Physik","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Nabla symbol; Domain (mathematical analysis); Regular polygon; Function (biology); Mathematics; Combinatorics; Convex domain; Convex function; Mathematical analysis; Physics; Geometry; Quantum mechanics; Omega","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":[0.002037797,0.001325469,0.001518691,0.00121332,0.002069838,0.00265651,0.002732071,0.003644728,0.01155708],"category_scores_gemma":[0.005966864,0.0008516958,0.001667948,0.0008427202,0.003052495,0.004140599,0.003521281,0.006585609,0.001506202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001611347,"about_ca_system_score_gemma":0.001352411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001129615,"about_ca_topic_score_gemma":0.001340002,"domain_scores_codex":[0.9992222,0.0003336364,0.00002678271,0.0001380738,0.0001780674,0.0001012737],"domain_scores_gemma":[0.9985592,0.001006764,0.00008183569,0.00008879817,0.0001431027,0.000120415],"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":[0.00002582372,0.00001361052,0.00003166811,0.00004187501,0.000008149341,0.0000176063,0.0000456445,0.00245977,0.000784745,0.9905167,0.002403674,0.003650707],"study_design_scores_gemma":[0.00002361541,0.00002302478,0.00007263377,0.00002821225,0.000005568294,0.00003158685,0.00002445715,0.02824725,0.0003184939,0.9670058,0.004207206,0.00001209927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04974584,0.002468538,0.76287,0.01140579,0.0013431,0.0001373581,0.0004714582,0.0001773076,0.1713806],"genre_scores_gemma":[0.5460256,0.003242963,0.3302903,0.002323804,0.002361205,0.0008825962,0.0007480039,0.001141617,0.112984],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01155708,"threshold_uncertainty_score":0.03866225,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02954858621259462,"score_gpt":0.3112482465165433,"score_spread":0.2816996603039487,"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."}}