{"id":"W2147461090","doi":"10.37236/2212","title":"Periodic Rigidity on a Variable Torus Using Inductive Constructions","year":2015,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Structural Analysis and Optimization","field":"Engineering","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Toronto; University of Bristol","keywords":"Torus; Rigidity (electromagnetism); Mathematics; Lattice (music); Combinatorics; Pure mathematics; Geometry; Physics; Quantum mechanics","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":[0.001423899,0.0007699339,0.0007804775,0.001414044,0.002331748,0.002254906,0.001463902,0.001052992,0.008523198],"category_scores_gemma":[0.003038081,0.0005482846,0.001653612,0.001104348,0.005357746,0.005772043,0.004281993,0.002267145,0.0008478098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001469179,"about_ca_system_score_gemma":0.0007613509,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00189462,"about_ca_topic_score_gemma":0.002705058,"domain_scores_codex":[0.998102,0.0004173426,0.00007526628,0.000448686,0.0005926269,0.0003640278],"domain_scores_gemma":[0.9984391,0.0006454668,0.0002019535,0.0003610293,0.0001610624,0.000191378],"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":[0.000009562862,0.000005328121,0.0001311594,0.00002678586,0.000005932905,0.0001029458,0.000152546,0.002852302,0.0006034932,0.9940264,0.0001903901,0.001893071],"study_design_scores_gemma":[0.00001265286,0.00004299854,0.0003977347,0.00004233271,0.00002112307,0.0003341174,0.0003297935,0.01543923,0.001553861,0.9734591,0.008328338,0.00003872163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.19112,0.0006452576,0.718609,0.0006286204,0.0001368876,0.00009509168,0.0003674591,0.0008604724,0.08753722],"genre_scores_gemma":[0.9143296,0.0003787412,0.07467838,0.0001500154,0.00008087295,0.0001074063,0.0003564078,0.0002658325,0.009652846],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008523198,"threshold_uncertainty_score":0.02851295,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01904847326597803,"score_gpt":0.2226498693467482,"score_spread":0.2036013960807701,"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."}}