{"id":"W4417147386","doi":"10.47443/dml.2025.140","title":"Explicit expression for the product of the classes of fixed-point free involutions","year":2025,"lang":"en","type":"article","venue":"Discrete Mathematics Letters","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Sultan Qaboos University","keywords":"Product (mathematics); Expression (computer science); Class (philosophy); Set (abstract data type); Algebra over a field","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":[0.001096623,0.0008164413,0.0007709339,0.002701064,0.0008956527,0.002601182,0.001782314,0.0007875534,0.009173587],"category_scores_gemma":[0.00326363,0.0004061017,0.0007625089,0.001126695,0.002227117,0.004284909,0.001683353,0.001925966,0.001558707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001267965,"about_ca_system_score_gemma":0.0006972386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004360747,"about_ca_topic_score_gemma":0.0006299807,"domain_scores_codex":[0.9993024,0.00008725383,0.00004289567,0.0001191085,0.0003055151,0.0001427761],"domain_scores_gemma":[0.9989861,0.0003405405,0.0001160027,0.0001338362,0.0002627488,0.0001608443],"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":[0.00003095785,0.00005048,0.0006587882,0.00006632738,0.000009177368,0.0002576277,0.000306386,0.001874802,0.006969198,0.9760967,0.0007677466,0.01291186],"study_design_scores_gemma":[0.00002118123,0.00004240896,0.001090878,0.00005999199,0.00002459759,0.0006782698,0.0001838535,0.04120637,0.01110858,0.9388137,0.006718291,0.00005190498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5949216,0.0009457567,0.3038062,0.0006121319,0.0003189156,0.0001235635,0.0003672138,0.0004799943,0.09842458],"genre_scores_gemma":[0.9442422,0.0006451175,0.03791666,0.00009535974,0.0002214856,0.00009589196,0.0002984891,0.0003363504,0.01614847],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009173587,"threshold_uncertainty_score":0.03068876,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0229845803933992,"score_gpt":0.2885897842240507,"score_spread":0.2656052038306516,"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."}}