{"id":"W2951468398","doi":"10.48550/arxiv.1708.01593","title":"On invariant fields of vectors and covectors","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"Fundamental Research Funds for the Central Universities; China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; Queen's University; National Natural Science Foundation of China","keywords":"Combinatorics; Invariant (physics); Physics; Order (exchange); Finite field; Field (mathematics); Mathematics; Mathematical physics; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0007865934,0.001076873,0.000825394,0.002642299,0.002851939,0.003157898,0.0009983925,0.0008388091,0.009861764],"category_scores_gemma":[0.001319277,0.0004365016,0.000916673,0.00155504,0.00414649,0.003402588,0.002251392,0.00192823,0.001793264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002424836,"about_ca_system_score_gemma":0.001023995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002664185,"about_ca_topic_score_gemma":0.00228388,"domain_scores_codex":[0.9988668,0.000242234,0.00003645889,0.0001646294,0.0002497146,0.0004402619],"domain_scores_gemma":[0.9994585,0.0001263289,0.000098203,0.00007651895,0.00009527062,0.0001452],"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":[0.00001273939,0.00001110168,0.00005824829,0.000007969746,0.000001746495,0.00002452364,0.00008494002,0.0002324372,0.000285317,0.9968585,0.0007266376,0.001695982],"study_design_scores_gemma":[0.00001412539,0.00002235201,0.0002004503,0.00001302245,0.000002896276,0.00004546752,0.00009275454,0.001880497,0.0003126769,0.9918311,0.005576507,0.000008058958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4205927,0.001926788,0.06735331,0.002240221,0.0006485549,0.00009428542,0.0006066021,0.0004097412,0.5061278],"genre_scores_gemma":[0.9070762,0.001135835,0.01792629,0.000573753,0.0008964197,0.000130739,0.0009048362,0.0002821716,0.07107374],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009861764,"threshold_uncertainty_score":0.03299087,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05950143588461534,"score_gpt":0.1820970762447752,"score_spread":0.1225956403601599,"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."}}