{"id":"W2400955467","doi":"","title":"Note On A q-Operator Identity.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Operator (biology); Identity (music); Pure mathematics; Algebra over a field; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002013627,0.0001252368,0.0001244607,0.00005905358,0.000136743,0.00009190579,0.0006672628,0.00005394301,0.00002608343],"category_scores_gemma":[0.00006121346,0.0001100183,0.00005159911,0.0003229795,0.00002446569,0.001499968,0.0001997939,0.0001471481,0.001159606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005201171,"about_ca_system_score_gemma":0.00002297098,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003550723,"about_ca_topic_score_gemma":7.278718e-7,"domain_scores_codex":[0.9989559,0.00004882824,0.0001294091,0.0002211037,0.0002606986,0.0003840621],"domain_scores_gemma":[0.9991596,0.00007348705,0.00004627767,0.0005190859,0.00003753641,0.0001640304],"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":[0.000001865975,0.0001085993,0.001123994,0.000002335442,0.000003741655,0.000005252055,0.0002355392,0.000005658733,0.000307662,0.9950023,0.0006879689,0.002515112],"study_design_scores_gemma":[0.000639728,0.0001630351,0.01023181,0.00001481517,0.000004972987,0.00001235545,0.000012606,0.000532417,0.004519788,0.9676723,0.01586523,0.000330962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9381284,0.0004216917,0.03762789,0.0007904798,0.0103851,0.000223526,0.000001230558,0.0004839457,0.01193774],"genre_scores_gemma":[0.9955277,0.000007509112,0.003229928,0.0009756395,0.00003092898,0.00001211772,7.691789e-7,0.000009124014,0.0002063002],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05739929,"threshold_uncertainty_score":0.9996181,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01409463606863568,"score_gpt":0.2673753278533206,"score_spread":0.2532806917846849,"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."}}