{"id":"W4245925417","doi":"10.1007/978-0-387-89492-8_8","title":"Nondifferentiable Functions","year":2009,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Differentiable function; Van der Waerden's theorem; Listing (finance); Connection (principal bundle); Mathematics; Function (biology); Pure mathematics; Algebra over a field; Calculus (dental); Discrete mathematics","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":[0.0004672303,0.0009481754,0.000564552,0.001260644,0.000538061,0.002460313,0.000730823,0.0006539343,0.01681481],"category_scores_gemma":[0.001041424,0.0003843613,0.0004311109,0.001638665,0.001666448,0.004033274,0.00107995,0.003082663,0.005665329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009569092,"about_ca_system_score_gemma":0.00058639,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002834844,"about_ca_topic_score_gemma":0.0003448512,"domain_scores_codex":[0.9996618,0.00004832388,0.00001993645,0.00006294213,0.0001803437,0.00002676327],"domain_scores_gemma":[0.9997523,0.00009508175,0.00001280485,0.00005821545,0.00006808543,0.00001350601],"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":[0.000005114829,0.000006692368,0.00001934557,0.0000694744,0.00000245393,0.00001835267,0.00006768018,0.0001923181,0.0004975658,0.9444547,0.01364685,0.04101947],"study_design_scores_gemma":[0.000004442774,0.00001180754,0.000138173,0.0000746423,0.000007176113,0.0002579341,0.00004218879,0.0009342602,0.0008836249,0.6750925,0.3225453,0.00000786235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.004737794,0.01360967,0.07652907,0.001913407,0.001244721,0.00003368828,0.0002633223,0.0001436041,0.9015246],"genre_scores_gemma":[0.09280752,0.0215539,0.02857071,0.0009617893,0.001500669,0.0001069841,0.0006803226,0.0003544057,0.8534637],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01681481,"threshold_uncertainty_score":0.05625111,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03237754405559169,"score_gpt":0.2629364758461759,"score_spread":0.2305589317905842,"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."}}