{"id":"W4239378096","doi":"10.1002/9781119517566.ch8","title":"Orientation","year":2019,"lang":"en","type":"other","venue":"","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Orientation (vector space); Product (mathematics); Scalar (mathematics); Vector space; Algebraic number; Algebra over a field; Cross product; Wedge (geometry); Computer science; Mathematics; Pure mathematics; Geometry; Mathematical analysis","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":[0.001073314,0.0009037098,0.0006722542,0.001525682,0.00239419,0.006635902,0.001380579,0.001692299,0.03297892],"category_scores_gemma":[0.004249031,0.0004573323,0.0009072748,0.0014998,0.007680394,0.009137325,0.004174835,0.003075941,0.01427707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001793519,"about_ca_system_score_gemma":0.001235596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001446158,"about_ca_topic_score_gemma":0.001268293,"domain_scores_codex":[0.9979535,0.0004225286,0.0001227755,0.00063125,0.0006155443,0.0002543153],"domain_scores_gemma":[0.9985134,0.0003547947,0.0001627221,0.0004690916,0.0003503632,0.0001496757],"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":[0.000006804639,0.000003530553,0.00006122248,0.00003106598,0.000002357108,0.00002341944,0.000137481,0.0001955696,0.0002206431,0.9802631,0.004848148,0.01420677],"study_design_scores_gemma":[0.000004128372,0.00001880739,0.0001180691,0.00005072459,0.000005664533,0.0002996076,0.000203089,0.001149073,0.0008766989,0.6201835,0.3770751,0.00001566208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.006902137,0.003636449,0.3983346,0.003024264,0.002310677,0.0001106716,0.0004429221,0.000881264,0.5843571],"genre_scores_gemma":[0.3487782,0.009755954,0.2373833,0.003820901,0.002885794,0.0004773412,0.001549861,0.00262762,0.3927211],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.03297892,"threshold_uncertainty_score":0.1103255,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06697738462844635,"score_gpt":0.3876765662958792,"score_spread":0.3206991816674328,"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."}}