本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。
本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。
batch-20261013-advance-20261024-r02-measurable-function-foundations · 2026-10-13 · 100 題
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,0,0,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 0, 0, 0], [0, 1], [0, 1, 2, 3])
依賴結構核對=(4, 4, [0, 0, 0, 0], [0, 1], [0, 1, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[1,0,0,0],"target_event":[1,2]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [1, 0, 0, 0], [1, 2], [0])
依賴結構核對=(4, 4, [1, 0, 0, 0], [1, 2], [0])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[2,0,0,0],"target_event":[2,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [2, 0, 0, 0], [2, 3], [0])
依賴結構核對=(4, 4, [2, 0, 0, 0], [2, 3], [0])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[3,0,0,0],"target_event":[0,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [3, 0, 0, 0], [0, 3], [0, 1, 2, 3])
依賴結構核對=(4, 4, [3, 0, 0, 0], [0, 3], [0, 1, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,1,0,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 1, 0, 0], [0, 1], [0, 1, 2, 3])
依賴結構核對=(4, 4, [0, 1, 0, 0], [0, 1], [0, 1, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[1,1,0,0],"target_event":[1,2]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [1, 1, 0, 0], [1, 2], [0, 1])
依賴結構核對=(4, 4, [1, 1, 0, 0], [1, 2], [0, 1])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[2,1,0,0],"target_event":[2,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [2, 1, 0, 0], [2, 3], [0])
依賴結構核對=(4, 4, [2, 1, 0, 0], [2, 3], [0])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[3,1,0,0],"target_event":[0,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [3, 1, 0, 0], [0, 3], [0, 2, 3])
依賴結構核對=(4, 4, [3, 1, 0, 0], [0, 3], [0, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,2,0,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 2, 0, 0], [0, 1], [0, 2, 3])
依賴結構核對=(4, 4, [0, 2, 0, 0], [0, 1], [0, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[1,2,0,0],"target_event":[1,2]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [1, 2, 0, 0], [1, 2], [0, 1])
依賴結構核對=(4, 4, [1, 2, 0, 0], [1, 2], [0, 1])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[2,2,0,0],"target_event":[2,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [2, 2, 0, 0], [2, 3], [0, 1])
依賴結構核對=(4, 4, [2, 2, 0, 0], [2, 3], [0, 1])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[3,2,0,0],"target_event":[0,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [3, 2, 0, 0], [0, 3], [0, 2, 3])
依賴結構核對=(4, 4, [3, 2, 0, 0], [0, 3], [0, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,3,0,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 3, 0, 0], [0, 1], [0, 2, 3])
依賴結構核對=(4, 4, [0, 3, 0, 0], [0, 1], [0, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[1,3,0,0],"target_event":[1,2]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [1, 3, 0, 0], [1, 2], [0])
依賴結構核對=(4, 4, [1, 3, 0, 0], [1, 2], [0])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[2,3,0,0],"target_event":[2,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [2, 3, 0, 0], [2, 3], [0, 1])
依賴結構核對=(4, 4, [2, 3, 0, 0], [2, 3], [0, 1])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[3,3,0,0],"target_event":[0,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [3, 3, 0, 0], [0, 3], [0, 1, 2, 3])
依賴結構核對=(4, 4, [3, 3, 0, 0], [0, 3], [0, 1, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,0,1,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 0, 1, 0], [0, 1], [0, 1, 2, 3])
依賴結構核對=(4, 4, [0, 0, 1, 0], [0, 1], [0, 1, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[1,0,1,0],"target_event":[1,2]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [1, 0, 1, 0], [1, 2], [0, 2])
依賴結構核對=(4, 4, [1, 0, 1, 0], [1, 2], [0, 2])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[2,0,1,0],"target_event":[2,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [2, 0, 1, 0], [2, 3], [0])
依賴結構核對=(4, 4, [2, 0, 1, 0], [2, 3], [0])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[3,0,1,0],"target_event":[0,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [3, 0, 1, 0], [0, 3], [0, 1, 3])
依賴結構核對=(4, 4, [3, 0, 1, 0], [0, 3], [0, 1, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,1,1,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 1, 1, 0], [0, 1], [0, 1, 2, 3])
依賴結構核對=(4, 4, [0, 1, 1, 0], [0, 1], [0, 1, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[1,1,1,0],"target_event":[1,2]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [1, 1, 1, 0], [1, 2], [0, 1, 2])
依賴結構核對=(4, 4, [1, 1, 1, 0], [1, 2], [0, 1, 2])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[2,1,1,0],"target_event":[2,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [2, 1, 1, 0], [2, 3], [0])
依賴結構核對=(4, 4, [2, 1, 1, 0], [2, 3], [0])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[3,1,1,0],"target_event":[0,3]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [3, 1, 1, 0], [0, 3], [0, 3])
依賴結構核對=(4, 4, [3, 1, 1, 0], [0, 3], [0, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-preimage；資料={"source_n":4,"target_n":4,"mapping":[0,2,1,0],"target_event":[0,1]}。請依 [source_n,target_n,mapping,target_event,preimage] 欄序回答。
(4, 4, [0, 2, 1, 0], [0, 1], [0, 2, 3])
依賴結構核對=(4, 4, [0, 2, 1, 0], [0, 1], [0, 2, 3])；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-preimage · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,0,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 0, 0, 0], [[[], [], 是], [[0], [0, 1, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [0, 0, 0, 0], [[[], [], 是], [[0], [0, 1, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[1,0,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [1, 0, 0, 0], [[[], [], 是], [[0], [1, 2, 3], 是], [[1], [0], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [0], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [1, 0, 0, 0], [[[], [], 是], [[0], [1, 2, 3], 是], [[1], [0], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [0], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0,1],[2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[2,0,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [2, 0, 0, 0], [[[], [], 是], [[0], [1, 2, 3], 否], [[1], [], 是], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 2, 3], 否], [[1, 3], [], 是], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [2, 0, 0, 0], [[[], [], 是], [[0], [1, 2, 3], 否], [[1], [], 是], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 2, 3], 否], [[1, 3], [], 是], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[3,0,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [3, 0, 0, 0], [[[], [], 是], [[0], [1, 2, 3], 是], [[1], [], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [3, 0, 0, 0], [[[], [], 是], [[0], [1, 2, 3], 是], [[1], [], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0,2],[1,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,1,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 1, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 否], [[1], [1], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 2, 3], 否], [[1, 2], [1], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 2, 3], 否], [[1, 3], [1], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 2, 3], 否], [[1, 2, 3], [1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [0, 1, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 否], [[1], [1], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 2, 3], 否], [[1, 2], [1], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 2, 3], 否], [[1, 3], [1], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 2, 3], 否], [[1, 2, 3], [1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[1,1,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [1, 1, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [0, 1], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [0, 1], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [1, 1, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [0, 1], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [0, 1], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0,1,2],[3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[2,1,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [2, 1, 0, 0], [[[], [], 是], [[0], [2, 3], 否], [[1], [1], 否], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 2, 3], 否], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 否], [[1, 3], [1], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 2, 3], 否], [[1, 2, 3], [0, 1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [2, 1, 0, 0], [[[], [], 是], [[0], [2, 3], 否], [[1], [1], 否], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 2, 3], 否], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 否], [[1, 3], [1], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 2, 3], 否], [[1, 2, 3], [0, 1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[3,1,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [3, 1, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [1], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [1], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [3, 1, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [1], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [1], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[1],[0,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,2,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 2, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 2, 3], 是], [[2], [1], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [1], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [0, 2, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 2, 3], 是], [[2], [1], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [1], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[1,2,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [1, 2, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [0], 是], [[0, 1], [0, 2, 3], 是], [[2], [1], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [0, 1], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [1, 2, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [0], 是], [[0, 1], [0, 2, 3], 是], [[2], [1], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [0, 1], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[2],[0,1,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[2,2,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [2, 2, 0, 0], [[[], [], 是], [[0], [2, 3], 否], [[1], [], 是], [[0, 1], [2, 3], 否], [[2], [0, 1], 否], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 否], [[1, 3], [], 是], [[0, 1, 3], [2, 3], 否], [[2, 3], [0, 1], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [2, 2, 0, 0], [[[], [], 是], [[0], [2, 3], 否], [[1], [], 是], [[0, 1], [2, 3], 否], [[2], [0, 1], 否], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [2, 3], 否], [[1, 3], [], 是], [[0, 1, 3], [2, 3], 否], [[2, 3], [0, 1], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[3,2,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [3, 2, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [], 是], [[0, 1], [2, 3], 是], [[2], [1], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [1], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [0, 1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [3, 2, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [], 是], [[0, 1], [2, 3], 是], [[2], [1], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [1], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 2, 3], 是], [[1, 3], [0], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [0, 1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[1,2],[0,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,3,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 3, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 否], [[1], [], 是], [[0, 1], [0, 2, 3], 否], [[2], [], 是], [[0, 2], [0, 2, 3], 否], [[1, 2], [], 是], [[0, 1, 2], [0, 2, 3], 否], [[3], [1], 否], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [0, 3, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 否], [[1], [], 是], [[0, 1], [0, 2, 3], 否], [[2], [], 是], [[0, 2], [0, 2, 3], 否], [[1, 2], [], 是], [[0, 1, 2], [0, 2, 3], 否], [[3], [1], 否], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[1,3,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [1, 3, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [0], 是], [[0, 1], [0, 2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [0], 是], [[0, 1, 2], [0, 2, 3], 是], [[3], [1], 是], [[0, 3], [1, 2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [1, 3, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [0], 是], [[0, 1], [0, 2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [0], 是], [[0, 1, 2], [0, 2, 3], 是], [[3], [1], 是], [[0, 3], [1, 2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[2,3,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [2, 3, 0, 0], [[[], [], 是], [[0], [2, 3], 否], [[1], [], 是], [[0, 1], [2, 3], 否], [[2], [0], 是], [[0, 2], [0, 2, 3], 否], [[1, 2], [0], 是], [[0, 1, 2], [0, 2, 3], 否], [[3], [1], 否], [[0, 3], [1, 2, 3], 是], [[1, 3], [1], 否], [[0, 1, 3], [1, 2, 3], 是], [[2, 3], [0, 1], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [2, 3, 0, 0], [[[], [], 是], [[0], [2, 3], 否], [[1], [], 是], [[0, 1], [2, 3], 否], [[2], [0], 是], [[0, 2], [0, 2, 3], 否], [[1, 2], [0], 是], [[0, 1, 2], [0, 2, 3], 否], [[3], [1], 否], [[0, 3], [1, 2, 3], 是], [[1, 3], [1], 否], [[0, 1, 3], [1, 2, 3], 是], [[2, 3], [0, 1], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[3,3,0,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [3, 3, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [], 是], [[0, 1], [2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [2, 3], 是], [[3], [0, 1], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0, 1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [3, 3, 0, 0], [[[], [], 是], [[0], [2, 3], 是], [[1], [], 是], [[0, 1], [2, 3], 是], [[2], [], 是], [[0, 2], [2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [2, 3], 是], [[3], [0, 1], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [0, 1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0, 1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0,1],[2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,0,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 0, 1, 0], [[[], [], 是], [[0], [0, 1, 3], 否], [[1], [2], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 3], 否], [[1, 2], [2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 3], 否], [[1, 3], [2], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 3], 否], [[1, 2, 3], [2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [0, 0, 1, 0], [[[], [], 是], [[0], [0, 1, 3], 否], [[1], [2], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 3], 否], [[1, 2], [2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 3], 否], [[1, 3], [2], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 3], 否], [[1, 2, 3], [2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[1,0,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [1, 0, 1, 0], [[[], [], 是], [[0], [1, 3], 是], [[1], [0, 2], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 3], 是], [[1, 2], [0, 2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 3], 是], [[1, 3], [0, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [1, 3], 是], [[1, 2, 3], [0, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [1, 0, 1, 0], [[[], [], 是], [[0], [1, 3], 是], [[1], [0, 2], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 3], 是], [[1, 2], [0, 2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 3], 是], [[1, 3], [0, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [1, 3], 是], [[1, 2, 3], [0, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0,2],[1,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[2,0,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [2, 0, 1, 0], [[[], [], 是], [[0], [1, 3], 是], [[1], [2], 否], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 1, 3], 否], [[1, 2], [0, 2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 3], 是], [[1, 3], [2], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 1, 3], 否], [[1, 2, 3], [0, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [2, 0, 1, 0], [[[], [], 是], [[0], [1, 3], 是], [[1], [2], 否], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 1, 3], 否], [[1, 2], [0, 2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1, 3], 是], [[1, 3], [2], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 1, 3], 否], [[1, 2, 3], [0, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[3,0,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [3, 0, 1, 0], [[[], [], 是], [[0], [1, 3], 是], [[1], [2], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 3], 是], [[1, 2], [2], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 1, 3], 是], [[1, 3], [0, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 1, 3], 是], [[1, 2, 3], [0, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [3, 0, 1, 0], [[[], [], 是], [[0], [1, 3], 是], [[1], [2], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [1, 3], 是], [[1, 2], [2], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 1, 3], 是], [[1, 3], [0, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 1, 3], 是], [[1, 2, 3], [0, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0,1,2],[3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,1,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 1, 1, 0], [[[], [], 是], [[0], [0, 3], 否], [[1], [1, 2], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 3], 否], [[1, 2], [1, 2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 3], 否], [[1, 3], [1, 2], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 3], 否], [[1, 2, 3], [1, 2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [0, 1, 1, 0], [[[], [], 是], [[0], [0, 3], 否], [[1], [1, 2], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 3], 否], [[1, 2], [1, 2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 3], 否], [[1, 3], [1, 2], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 3], 否], [[1, 2, 3], [1, 2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[1,1,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [1, 1, 1, 0], [[[], [], 是], [[0], [3], 是], [[1], [0, 1, 2], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [3], 是], [[1, 2], [0, 1, 2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [3], 是], [[1, 3], [0, 1, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [3], 是], [[1, 2, 3], [0, 1, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [1, 1, 1, 0], [[[], [], 是], [[0], [3], 是], [[1], [0, 1, 2], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [3], 是], [[1, 2], [0, 1, 2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [3], 是], [[1, 3], [0, 1, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [3], 是], [[1, 2, 3], [0, 1, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[1],[0,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[2,1,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [2, 1, 1, 0], [[[], [], 是], [[0], [3], 否], [[1], [1, 2], 否], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 3], 否], [[1, 2], [0, 1, 2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [3], 否], [[1, 3], [1, 2], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 3], 否], [[1, 2, 3], [0, 1, 2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [2, 1, 1, 0], [[[], [], 是], [[0], [3], 否], [[1], [1, 2], 否], [[0, 1], [1, 2, 3], 否], [[2], [0], 否], [[0, 2], [0, 3], 否], [[1, 2], [0, 1, 2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [3], 否], [[1, 3], [1, 2], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0], 否], [[0, 2, 3], [0, 3], 否], [[1, 2, 3], [0, 1, 2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[3,1,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [3, 1, 1, 0], [[[], [], 是], [[0], [3], 是], [[1], [1, 2], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [3], 是], [[1, 2], [1, 2], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 3], 是], [[1, 3], [0, 1, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 3], 是], [[1, 2, 3], [0, 1, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)
依賴結構核對=(4, 4, [3, 1, 1, 0], [[[], [], 是], [[0], [3], 是], [[1], [1, 2], 是], [[0, 1], [1, 2, 3], 是], [[2], [], 是], [[0, 2], [3], 是], [[1, 2], [1, 2], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0, 3], 是], [[1, 3], [0, 1, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0], 是], [[0, 2, 3], [0, 3], 是], [[1, 2, 3], [0, 1, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-map-audit；資料={"source_n":4,"target_n":4,"source_sigma":[[],[2],[0,1,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"mapping":[0,2,1,0]}。請依 [source_n,target_n,mapping,preimage_rows,measurable] 欄序回答。
(4, 4, [0, 2, 1, 0], [[[], [], 是], [[0], [0, 3], 否], [[1], [2], 是], [[0, 1], [0, 2, 3], 否], [[2], [1], 否], [[0, 2], [0, 1, 3], 是], [[1, 2], [1, 2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 3], 否], [[1, 3], [2], 是], [[0, 1, 3], [0, 2, 3], 否], [[2, 3], [1], 否], [[0, 2, 3], [0, 1, 3], 是], [[1, 2, 3], [1, 2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)
依賴結構核對=(4, 4, [0, 2, 1, 0], [[[], [], 是], [[0], [0, 3], 否], [[1], [2], 是], [[0, 1], [0, 2, 3], 否], [[2], [1], 否], [[0, 2], [0, 1, 3], 是], [[1, 2], [1, 2], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 3], 否], [[1, 3], [2], 是], [[0, 1, 3], [0, 2, 3], 否], [[2, 3], [1], 否], [[0, 2, 3], [0, 1, 3], 是], [[1, 2, 3], [1, 2], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-map-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0],[1,2,3,4,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 是)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[1],[0,2,3,4,5],[0,1,2,3,4,5]],"event":[1]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [1], [0, 1, 0, 0, 0, 0], 是)
依賴結構核對=(6, [1], [0, 1, 0, 0, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,1],[2,3,4,5],[0,1,2,3,4,5]],"event":[0,1]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 1], [1, 1, 0, 0, 0, 0], 是)
依賴結構核對=(6, [0, 1], [1, 1, 0, 0, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[2],[0,1,3,4,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,2],[1,3,4,5],[0,1,2,3,4,5]],"event":[0,2]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 2], [1, 0, 1, 0, 0, 0], 是)
依賴結構核對=(6, [0, 2], [1, 0, 1, 0, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[1,2],[0,3,4,5],[0,1,2,3,4,5]],"event":[1,2]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [1, 2], [0, 1, 1, 0, 0, 0], 是)
依賴結構核對=(6, [1, 2], [0, 1, 1, 0, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,1,2],[3,4,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[3],[0,1,2,4,5],[0,1,2,3,4,5]],"event":[3]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [3], [0, 0, 0, 1, 0, 0], 是)
依賴結構核對=(6, [3], [0, 0, 0, 1, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,3],[1,2,4,5],[0,1,2,3,4,5]],"event":[0,3]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 3], [1, 0, 0, 1, 0, 0], 是)
依賴結構核對=(6, [0, 3], [1, 0, 0, 1, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[1,3],[0,2,4,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,1,3],[2,4,5],[0,1,2,3,4,5]],"event":[0,1,3]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 1, 3], [1, 1, 0, 1, 0, 0], 是)
依賴結構核對=(6, [0, 1, 3], [1, 1, 0, 1, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[2,3],[0,1,4,5],[0,1,2,3,4,5]],"event":[2,3]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [2, 3], [0, 0, 1, 1, 0, 0], 是)
依賴結構核對=(6, [2, 3], [0, 0, 1, 1, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,2,3],[1,4,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[1,2,3],[0,4,5],[0,1,2,3,4,5]],"event":[1,2,3]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [1, 2, 3], [0, 1, 1, 1, 0, 0], 是)
依賴結構核對=(6, [1, 2, 3], [0, 1, 1, 1, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,1,2,3],[4,5],[0,1,2,3,4,5]],"event":[0,1,2,3]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 1, 2, 3], [1, 1, 1, 1, 0, 0], 是)
依賴結構核對=(6, [0, 1, 2, 3], [1, 1, 1, 1, 0, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[4],[0,1,2,3,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,4],[1,2,3,5],[0,1,2,3,4,5]],"event":[0,4]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 4], [1, 0, 0, 0, 1, 0], 是)
依賴結構核對=(6, [0, 4], [1, 0, 0, 0, 1, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[1,4],[0,2,3,5],[0,1,2,3,4,5]],"event":[1,4]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [1, 4], [0, 1, 0, 0, 1, 0], 是)
依賴結構核對=(6, [1, 4], [0, 1, 0, 0, 1, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,1,4],[2,3,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[2,4],[0,1,3,5],[0,1,2,3,4,5]],"event":[2,4]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [2, 4], [0, 0, 1, 0, 1, 0], 是)
依賴結構核對=(6, [2, 4], [0, 0, 1, 0, 1, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,2,4],[1,3,5],[0,1,2,3,4,5]],"event":[0,2,4]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 2, 4], [1, 0, 1, 0, 1, 0], 是)
依賴結構核對=(6, [0, 2, 4], [1, 0, 1, 0, 1, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[1,2,4],[0,3,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,1,2,4],[3,5],[0,1,2,3,4,5]],"event":[0,1,2,4]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0, 1, 2, 4], [1, 1, 1, 0, 1, 0], 是)
依賴結構核對=(6, [0, 1, 2, 4], [1, 1, 1, 0, 1, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[3,4],[0,1,2,5],[0,1,2,3,4,5]],"event":[3,4]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [3, 4], [0, 0, 0, 1, 1, 0], 是)
依賴結構核對=(6, [3, 4], [0, 0, 0, 1, 1, 0], 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-indicator-audit；資料={"source_n":6,"source_sigma":[[],[0,3,4],[1,2,5],[0,1,2,3,4,5]],"event":[0]}。請依 [source_n,event,indicator_mapping,measurable] 欄序回答。
(6, [0], [1, 0, 0, 0, 0, 0], 否)
依賴結構核對=(6, [0], [1, 0, 0, 0, 0, 0], 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-indicator-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,0,0,0],"second":[1,1,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [1, 1, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 1, 2, 3], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [1, 1, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 1, 2, 3], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[1,0,0,0],"second":[2,1,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [1, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [0], 是], [[0, 1], [0], 是], [[2], [1, 2, 3], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0], 是], [[0, 1, 3], [0], 是], [[2, 3], [1, 2, 3], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [1, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [0], 是], [[0, 1], [0], 是], [[2], [1, 2, 3], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0], 是], [[0, 1, 3], [0], 是], [[2, 3], [1, 2, 3], 是], [[0, 2, 3], [1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0,1],[2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[2,0,0,0],"second":[3,1,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [2, 3, 3, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0], 否], [[0, 2], [0], 否], [[1, 2], [0], 否], [[0, 1, 2], [0], 否], [[3], [1, 2, 3], 否], [[0, 3], [1, 2, 3], 否], [[1, 3], [1, 2, 3], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [2, 3, 3, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0], 否], [[0, 2], [0], 否], [[1, 2], [0], 否], [[0, 1, 2], [0], 否], [[3], [1, 2, 3], 否], [[0, 3], [1, 2, 3], 否], [[1, 3], [1, 2, 3], 否], [[0, 1, 3], [1, 2, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[3,0,0,0],"second":[0,2,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 0, 0, 0], [[[], [], 是], [[0], [0, 1, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 0, 0, 0], [[[], [], 是], [[0], [0, 1, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0,2],[1,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,1,0,0],"second":[1,2,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [1, 2, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 2, 3], 否], [[0, 1], [0, 2, 3], 否], [[2], [1], 否], [[0, 2], [1], 否], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 2, 3], 否], [[0, 1, 3], [0, 2, 3], 否], [[2, 3], [1], 否], [[0, 2, 3], [1], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [1, 2, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 2, 3], 否], [[0, 1], [0, 2, 3], 否], [[2], [1], 否], [[0, 2], [1], 否], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 2, 3], 否], [[0, 1, 3], [0, 2, 3], 否], [[2, 3], [1], 否], [[0, 2, 3], [1], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[1,1,0,0],"second":[2,2,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [2, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1, 2, 3], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [], 是], [[0, 1, 3], [], 是], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [2, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1, 2, 3], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [], 是], [[0, 1, 3], [], 是], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0,1,2],[3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[2,1,0,0],"second":[3,2,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [2, 2, 3, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1], 否], [[0, 2], [0, 1], 否], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1], 否], [[3], [2, 3], 否], [[0, 3], [2, 3], 否], [[1, 3], [2, 3], 否], [[0, 1, 3], [2, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [2, 2, 3, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1], 否], [[0, 2], [0, 1], 否], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1], 否], [[3], [2, 3], 否], [[0, 3], [2, 3], 否], [[1, 3], [2, 3], 否], [[0, 1, 3], [2, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[3,1,0,0],"second":[0,3,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 3, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 2, 3], 是], [[3], [1], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 3, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 2, 3], 是], [[3], [1], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[1],[0,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,2,0,0],"second":[1,3,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [1, 2, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 2, 3], 是], [[0, 1], [0, 2, 3], 是], [[2], [1], 是], [[0, 2], [1], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 2, 3], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [1], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [1, 2, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 2, 3], 是], [[0, 1], [0, 2, 3], 是], [[2], [1], 是], [[0, 2], [1], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 2, 3], 是], [[0, 1, 3], [0, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [1], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[1,2,0,0],"second":[2,3,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [3, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [1, 2, 3], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [1, 2, 3], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0], 是], [[1, 3], [0], 是], [[0, 1, 3], [0], 是], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [3, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [1, 2, 3], 是], [[0, 2], [1, 2, 3], 是], [[1, 2], [1, 2, 3], 是], [[0, 1, 2], [1, 2, 3], 是], [[3], [0], 是], [[0, 3], [0], 是], [[1, 3], [0], 是], [[0, 1, 3], [0], 是], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[2],[0,1,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[2,2,0,0],"second":[3,3,2,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [2, 2, 3, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1], 否], [[0, 2], [0, 1], 否], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1], 否], [[3], [2, 3], 否], [[0, 3], [2, 3], 否], [[1, 3], [2, 3], 否], [[0, 1, 3], [2, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [2, 2, 3, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1], 否], [[0, 2], [0, 1], 否], [[1, 2], [0, 1], 否], [[0, 1, 2], [0, 1], 否], [[3], [2, 3], 否], [[0, 3], [2, 3], 否], [[1, 3], [2, 3], 否], [[0, 1, 3], [2, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[3,2,0,0],"second":[0,0,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 3, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 2, 3], 是], [[3], [1], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 3, 0, 0], [[[], [], 是], [[0], [0, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 2, 3], 是], [[3], [1], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[1,2],[0,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,3,0,0],"second":[1,0,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [1, 0, 1, 1], [[[], [], 是], [[0], [1], 否], [[1], [0, 2, 3], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [1], 否], [[1, 2], [0, 2, 3], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1], 否], [[1, 3], [0, 2, 3], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [1], 否], [[1, 2, 3], [0, 2, 3], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [1, 0, 1, 1], [[[], [], 是], [[0], [1], 否], [[1], [0, 2, 3], 否], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [1], 否], [[1, 2], [0, 2, 3], 否], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [1], 否], [[1, 3], [0, 2, 3], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [1], 否], [[1, 2, 3], [0, 2, 3], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[1,3,0,0],"second":[2,0,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 0, 2, 2], [[[], [], 是], [[0], [0, 1], 是], [[1], [], 是], [[0, 1], [0, 1], 是], [[2], [2, 3], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1], 是], [[2, 3], [2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 0, 2, 2], [[[], [], 是], [[0], [0, 1], 是], [[1], [], 是], [[0, 1], [0, 1], 是], [[2], [2, 3], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1], 是], [[2, 3], [2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[2,3,0,0],"second":[3,0,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [3, 0, 3, 3], [[[], [], 是], [[0], [1], 否], [[1], [], 是], [[0, 1], [1], 否], [[2], [], 是], [[0, 2], [1], 否], [[1, 2], [], 是], [[0, 1, 2], [1], 否], [[3], [0, 2, 3], 否], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [0, 2, 3], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0, 2, 3], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 2, 3], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [3, 0, 3, 3], [[[], [], 是], [[0], [1], 否], [[1], [], 是], [[0, 1], [1], 否], [[2], [], 是], [[0, 2], [1], 否], [[1, 2], [], 是], [[0, 1, 2], [1], 否], [[3], [0, 2, 3], 否], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [0, 2, 3], 否], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0, 2, 3], 否], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 2, 3], 否], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[3,3,0,0],"second":[0,1,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 0, 0, 0], [[[], [], 是], [[0], [0, 1, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 0, 0, 0], [[[], [], 是], [[0], [0, 1, 2, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0,1],[2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,0,1,0],"second":[1,1,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [1, 1, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 1, 2, 3], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 否)
依賴結構核對=(否, 是, [1, 1, 1, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 1, 2, 3], 是], [[0, 1], [0, 1, 2, 3], 是], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [], 是], [[0, 2, 3], [], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[1,0,1,0],"second":[2,1,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [1, 2, 1, 2], [[[], [], 是], [[0], [], 是], [[1], [0, 2], 是], [[0, 1], [0, 2], 是], [[2], [1, 3], 是], [[0, 2], [1, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 2], 是], [[0, 1, 3], [0, 2], 是], [[2, 3], [1, 3], 是], [[0, 2, 3], [1, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [1, 2, 1, 2], [[[], [], 是], [[0], [], 是], [[1], [0, 2], 是], [[0, 1], [0, 2], 是], [[2], [1, 3], 是], [[0, 2], [1, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 2], 是], [[0, 1, 3], [0, 2], 是], [[2, 3], [1, 3], 是], [[0, 2, 3], [1, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0,2],[1,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[2,0,1,0],"second":[3,1,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [3, 3, 1, 3], [[[], [], 是], [[0], [], 是], [[1], [2], 否], [[0, 1], [2], 否], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [2], 否], [[0, 1, 2], [2], 否], [[3], [0, 1, 3], 否], [[0, 3], [0, 1, 3], 否], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0, 1, 3], 否], [[0, 2, 3], [0, 1, 3], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [3, 3, 1, 3], [[[], [], 是], [[0], [], 是], [[1], [2], 否], [[0, 1], [2], 否], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [2], 否], [[0, 1, 2], [2], 否], [[3], [0, 1, 3], 否], [[0, 3], [0, 1, 3], 否], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [0, 1, 3], 否], [[0, 2, 3], [0, 1, 3], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[3,0,1,0],"second":[0,2,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 0, 2, 0], [[[], [], 是], [[0], [0, 1, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 3], 是], [[2], [2], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 3], 是], [[2, 3], [2], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 0, 2, 0], [[[], [], 是], [[0], [0, 1, 3], 是], [[1], [], 是], [[0, 1], [0, 1, 3], 是], [[2], [2], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [2], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [0, 1, 3], 是], [[1, 3], [], 是], [[0, 1, 3], [0, 1, 3], 是], [[2, 3], [2], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0,1,2],[3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,1,1,0],"second":[1,2,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [1, 2, 2, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 3], 否], [[0, 1], [0, 3], 否], [[2], [1, 2], 否], [[0, 2], [1, 2], 否], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 3], 否], [[0, 1, 3], [0, 3], 否], [[2, 3], [1, 2], 否], [[0, 2, 3], [1, 2], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [1, 2, 2, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 3], 否], [[0, 1], [0, 3], 否], [[2], [1, 2], 否], [[0, 2], [1, 2], 否], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [0, 3], 否], [[0, 1, 3], [0, 3], 否], [[2, 3], [1, 2], 否], [[0, 2, 3], [1, 2], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[1,1,1,0],"second":[2,2,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [2, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1, 2, 3], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [], 是], [[0, 1, 3], [], 是], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [2, 2, 2, 2], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [0, 1, 2, 3], 是], [[0, 2], [0, 1, 2, 3], 是], [[1, 2], [0, 1, 2, 3], 是], [[0, 1, 2], [0, 1, 2, 3], 是], [[3], [], 是], [[0, 3], [], 是], [[1, 3], [], 是], [[0, 1, 3], [], 是], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[1],[0,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[2,1,1,0],"second":[3,2,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [3, 2, 2, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [1, 2], 否], [[0, 2], [1, 2], 否], [[1, 2], [1, 2], 否], [[0, 1, 2], [1, 2], 否], [[3], [0, 3], 否], [[0, 3], [0, 3], 否], [[1, 3], [0, 3], 否], [[0, 1, 3], [0, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [3, 2, 2, 3], [[[], [], 是], [[0], [], 是], [[1], [], 是], [[0, 1], [], 是], [[2], [1, 2], 否], [[0, 2], [1, 2], 否], [[1, 2], [1, 2], 否], [[0, 1, 2], [1, 2], 否], [[3], [0, 3], 否], [[0, 3], [0, 3], 否], [[1, 3], [0, 3], 否], [[0, 1, 3], [0, 3], 否], [[2, 3], [0, 1, 2, 3], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[3,1,1,0],"second":[0,3,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(是, 是, [0, 3, 3, 0], [[[], [], 是], [[0], [0, 3], 是], [[1], [], 是], [[0, 1], [0, 3], 是], [[2], [], 是], [[0, 2], [0, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 3], 是], [[3], [1, 2], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1, 2], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)
依賴結構核對=(是, 是, [0, 3, 3, 0], [[[], [], 是], [[0], [0, 3], 是], [[1], [], 是], [[0, 1], [0, 3], 是], [[2], [], 是], [[0, 2], [0, 3], 是], [[1, 2], [], 是], [[0, 1, 2], [0, 3], 是], [[3], [1, 2], 是], [[0, 3], [0, 1, 2, 3], 是], [[1, 3], [1, 2], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1, 2], 是], [[0, 2, 3], [0, 1, 2, 3], 是], [[1, 2, 3], [1, 2], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 是, 是)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate
完整有限來源與目標sigma代數。操作=measurable-composition-audit；資料={"source_n":4,"middle_n":4,"target_n":4,"source_sigma":[[],[2],[0,1,3],[0,1,2,3]],"middle_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"target_sigma":[[],[0],[1],[0,1],[2],[0,2],[1,2],[0,1,2],[3],[0,3],[1,3],[0,1,3],[2,3],[0,2,3],[1,2,3],[0,1,2,3]],"first":[0,2,1,0],"second":[1,3,3,0]}。請依 [first_measurable,second_measurable,composite_mapping,composite_rows,composite_measurable,composition_theorem_consistent] 欄序回答。
(否, 是, [1, 3, 3, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 3], 否], [[0, 1], [0, 3], 否], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [0, 3], 否], [[0, 1, 2], [0, 3], 否], [[3], [1, 2], 否], [[0, 3], [1, 2], 否], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1, 2], 否], [[0, 2, 3], [1, 2], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)
依賴結構核對=(否, 是, [1, 3, 3, 1], [[[], [], 是], [[0], [], 是], [[1], [0, 3], 否], [[0, 1], [0, 3], 否], [[2], [], 是], [[0, 2], [], 是], [[1, 2], [0, 3], 否], [[0, 1, 2], [0, 3], 否], [[3], [1, 2], 否], [[0, 3], [1, 2], 否], [[1, 3], [0, 1, 2, 3], 是], [[0, 1, 3], [0, 1, 2, 3], 是], [[2, 3], [1, 2], 否], [[0, 2, 3], [1, 2], 否], [[1, 2, 3], [0, 1, 2, 3], 是], [[0, 1, 2, 3], [0, 1, 2, 3], 是]], 否, 否)；依完整明示資料重算；精確有限切片不自動升格為一般無限結論；逐一核目標可測集的逆像；可測不推出連續可積或保測。
可測函數 · qf-mod24-measurable-composition-audit · candidate