{"id":"W4229562761","doi":"10.20852/ntmsci.2016115621","title":"Relations characteristic of theta functions according to quarter periods","year":2016,"lang":"en","type":"article","venue":"New Trends in Mathematical Science","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Psychology; Mathematics; History","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.0008685379,0.0002047443,0.0004509019,0.0006267248,0.0001412641,0.00006371055,0.000593878,0.0000679245,0.002139327],"category_scores_gemma":[0.004236356,0.0001318081,0.0001073938,0.001622447,0.000532315,0.00063753,0.0002164067,0.0001259735,0.0004557501],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001794129,"about_ca_system_score_gemma":0.00009734401,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005029722,"about_ca_topic_score_gemma":0.00001760749,"domain_scores_codex":[0.9975587,0.00003960402,0.0007663161,0.0004209318,0.0006955955,0.0005189145],"domain_scores_gemma":[0.9974386,0.001326092,0.0001749045,0.0006628152,0.0001076657,0.0002899402],"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":[0.00001625351,0.0003119739,0.000889615,0.00008197568,0.00001092434,0.000003942755,0.002069604,0.00000383254,0.03145025,0.9519508,0.001480336,0.01173052],"study_design_scores_gemma":[0.0003030639,0.00008220689,0.003107893,0.0004295675,0.00002548699,0.00001332057,0.0006314681,0.0002035892,0.001581228,0.9932725,0.0001348622,0.0002148322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4004727,0.00001153422,0.4779942,0.004743532,0.0003152597,0.0004267877,0.00002671469,0.0002234957,0.1157857],"genre_scores_gemma":[0.9063851,0.000001101455,0.06542946,0.00002032251,0.00005467795,0.00004053882,4.230415e-7,0.00002317399,0.0280452],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5059124,"threshold_uncertainty_score":0.9987729,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06230905065532737,"score_gpt":0.3750148338562828,"score_spread":0.3127057832009554,"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."}}