{"id":"W4411573238","doi":"10.1007/978-3-031-95489-4_3","title":"The Chebyshev–Grübler–Kutzbach Mobility Criterion Revisited","year":2025,"lang":"en","type":"book-chapter","venue":"Mechanisms and machine science","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Chebyshev filter; Mathematics; Applied mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009194067,0.0003275478,0.0003082685,0.0001454571,0.0005373312,0.0002498015,0.0005356789,0.0001399999,0.00004910074],"category_scores_gemma":[0.00005538828,0.0002382174,0.00009451235,0.0001014708,0.000241182,0.0001027652,0.0003122781,0.0003667014,0.00001034649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008190884,"about_ca_system_score_gemma":0.00007078429,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001901199,"about_ca_topic_score_gemma":0.000054696,"domain_scores_codex":[0.998498,0.000008415151,0.0002919386,0.0004970496,0.0003566448,0.0003479774],"domain_scores_gemma":[0.9990373,0.00007167054,0.00005492656,0.0006051597,0.0001022821,0.0001287176],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001499703,0.000008293289,0.000001296736,0.0001680251,0.00002958704,0.000006160452,0.00003044992,0.0007458847,0.00467074,0.767473,0.0004910833,0.2263605],"study_design_scores_gemma":[0.0005415747,0.0001593565,0.00018309,0.0004530101,0.0001121844,0.00003043474,0.00001136506,0.5659316,0.0003041294,0.2626072,0.1686808,0.0009852317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001612274,0.01964983,0.1986802,0.0006915389,0.002908569,0.001627325,0.0002266279,0.0007123869,0.7753423],"genre_scores_gemma":[0.1960658,0.02084965,0.01139597,0.000918232,0.000481192,0.000183864,0.0001155647,0.0002295088,0.7697602],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5651857,"threshold_uncertainty_score":0.9714224,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005747317831034455,"score_gpt":0.202975711175038,"score_spread":0.1972283933440035,"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."}}