{"id":"W2073290906","doi":"10.1007/bf02772622","title":"An example of a convex body without symmetric projections","year":2001,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Conjecture; Regular polygon; Convex body; Convex analysis; Convex set; Construct (python library); Pure mathematics; Combinatorics; Mixed volume; Argument (complex analysis); Algebra over a field; Convex hull; Convex optimization; Geometry; Computer science","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":[0.0002274861,0.0004579742,0.0006333572,0.001425395,0.002013466,0.001665728,0.0008286017,0.002012913,0.01417387],"category_scores_gemma":[0.0007174464,0.0003371982,0.0006897147,0.001351375,0.001971903,0.001120757,0.00162218,0.001295668,0.001353124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005792685,"about_ca_system_score_gemma":0.0004995689,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003156565,"about_ca_topic_score_gemma":0.002050868,"domain_scores_codex":[0.9997696,0.00003324509,0.000009820421,0.00003435731,0.00009082998,0.00006215127],"domain_scores_gemma":[0.9996581,0.0001281254,0.0000383384,0.00004065664,0.00006177289,0.00007299675],"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":[0.00006490444,0.00002560887,0.0002173634,0.00006517935,0.00001653521,0.00103755,0.0001682107,0.01442754,0.002876897,0.9715569,0.003196212,0.006347069],"study_design_scores_gemma":[0.00006079962,0.00006184772,0.001083752,0.00004285325,0.00002031659,0.001122094,0.0004282864,0.1445013,0.002501556,0.822495,0.02763929,0.00004286887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2217158,0.0006051293,0.4205357,0.004147663,0.0004812871,0.0001463377,0.001493981,0.0006891484,0.350185],"genre_scores_gemma":[0.8141896,0.0004666849,0.1280466,0.0001862976,0.00008729406,0.00009061102,0.0006698518,0.0001754977,0.05608767],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01417387,"threshold_uncertainty_score":0.04741633,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1233865138992832,"score_gpt":0.3614677493490149,"score_spread":0.2380812354497318,"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."}}