{"id":"W2087438932","doi":"10.1007/s000100050154","title":"On the equation of generalized bisymmetry with outer functions injective in each argument","year":2000,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Acadia University","funders":"","keywords":"Injective function; Mathematics; Bijection, injection and surjection; Combinatorics; Bijection","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":[0.001465743,0.0008263589,0.0007135158,0.001296764,0.001673501,0.001644955,0.001027038,0.001542287,0.007907891],"category_scores_gemma":[0.003076719,0.0003589539,0.001247783,0.00109486,0.003929147,0.00564536,0.002258102,0.00297869,0.001054055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001411917,"about_ca_system_score_gemma":0.000742476,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001894415,"about_ca_topic_score_gemma":0.001035202,"domain_scores_codex":[0.9995614,0.0001581431,0.00002677048,0.00008402375,0.0001094508,0.000060143],"domain_scores_gemma":[0.99926,0.0003552058,0.0000658284,0.00008402133,0.0001642579,0.00007060679],"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":[0.000005246728,0.000002054066,0.00002235111,0.000008313346,0.000002206236,0.00001120101,0.00004804396,0.0002294123,0.0001643031,0.9980267,0.00053069,0.0009494982],"study_design_scores_gemma":[0.000005382326,0.000003647126,0.00004674197,0.000003685408,0.000002359651,0.00002268221,0.00001711699,0.002322089,0.00008484493,0.9964777,0.001009444,0.000004323389],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1686796,0.002870345,0.4719541,0.01217177,0.00161774,0.00006627275,0.0004796444,0.0002982793,0.3418622],"genre_scores_gemma":[0.8797421,0.001785814,0.0421095,0.002213148,0.001581201,0.0001318112,0.0003723444,0.0003793296,0.07168478],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007907891,"threshold_uncertainty_score":0.02645457,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06012665149412953,"score_gpt":0.2876021771071742,"score_spread":0.2274755256130446,"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."}}