{"schema_version":"ocme-site-results-v1","locale":"zh-Hant","page_type":"derivations","facts":{"questions":36000,"reviewed":36000,"display_candidates":0,"knowledge":302,"guides":299,"paths":59,"batches":360,"families":1441,"atlas":302,"core":80,"evidence":9,"formal_evidence":5,"formal_subjects":4,"lean_files":6,"lean_toolchain":"leanprover/lean4:v4.30.0","question_state":"candidate","english_state":"ai_candidate","question_Lean":"NOT_RUN","canonical_truth_promotion":false},"filters":{"q":"mko-taylor-remainder-theorem"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-taylor-remainder-theorem-01","title":{"zh-Hant":"三次多項式的精確 Lagrange 餘項","en":"An exact Lagrange remainder for a cubic"},"summary":{"zh-Hant":"以 f(x)=x^3、a=1、n=2、x=2 核精確餘項及有效導數界。","en":"For f(x)=x^3, a=1, n=2, x=2, audit the exact remainder and a qualified derivative bound."},"mko_ids":["mko-taylor-remainder-theorem"]}],"title":"概念推導導讀"}