{"id":"W7125569477","doi":"","title":"Crofton and Blaschke–Petkantschin Formulae:Applications in Stereology and Intersection Probabilities","year":2025,"lang":"","type":"dissertation","venue":"","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Intersection (aeronautics); Stereology; Field (mathematics); Dimension (graph theory); Population","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":[0.003512408,0.000991477,0.001754057,0.005612787,0.002631246,0.003628901,0.003017561,0.002697648,0.01350422],"category_scores_gemma":[0.01548156,0.0008128672,0.001839356,0.006789125,0.006092053,0.01413303,0.003572209,0.008039844,0.0009928434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004384813,"about_ca_system_score_gemma":0.001626938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003932905,"about_ca_topic_score_gemma":0.003341833,"domain_scores_codex":[0.998759,0.0004018788,0.00007643653,0.0002665936,0.0003409264,0.0001552226],"domain_scores_gemma":[0.993977,0.004300402,0.0003457213,0.0003597843,0.0007446924,0.0002723142],"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":[0.000005993947,0.000005852239,0.0000631761,0.00001308406,0.000002501197,0.00000815008,0.0000534975,0.0006608123,0.00005575899,0.9945815,0.0005709124,0.003978782],"study_design_scores_gemma":[0.000003414133,0.000003280689,0.00009075648,0.00001063712,0.000005007699,0.00001034711,0.00001727688,0.006622319,0.00008992397,0.9917228,0.001417357,0.000006729425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0567012,0.004184222,0.8530572,0.005557983,0.0004871141,0.00006399523,0.0004313785,0.0002002837,0.07931653],"genre_scores_gemma":[0.6965496,0.005513146,0.2460972,0.001601981,0.001755247,0.0002950897,0.000665963,0.0004500481,0.04707173],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01350422,"threshold_uncertainty_score":0.04517609,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02573760607088169,"score_gpt":0.3179035868831999,"score_spread":0.2921659808123181,"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."}}