{"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-real-hilbert-space"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-real-hilbert-space-01","title":{"zh-Hant":"同一矩陣誘導的有限維 Hilbert 證書","en":"A finite-dimensional Hilbert certificate from one matrix"},"summary":{"zh-Hant":"驗 R^2 配 A=[[2,1],[1,2]] 的內積、範數、度量與完備性一致。","en":"Verify the consistent inner product, norm, metric and completeness of R^2 with A=[[2,1],[1,2]]."},"mko_ids":["mko-real-hilbert-space"]}],"title":"概念推導導讀"}