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-20261014-advance-20261031-r03-convergence-in-distribution-foundations · 2026-10-14 · 100 題
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[1,20],"shift":2,"n":1,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(1, 31/60, -1, 0, 0, 是)
Wave4收束核對=(1, 31/60, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[2,20],"shift":3,"n":2,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(2, 13/25, 1/2, 12/25, 1/2, 是)
Wave4收束核對=(2, 13/25, 1/2, 12/25, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[3,20],"shift":4,"n":3,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(3, 73/140, 2, 1, 1, 是)
Wave4收束核對=(3, 73/140, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[4,20],"shift":5,"n":4,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(4, 47/90, -1, 0, 0, 是)
Wave4收束核對=(4, 47/90, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[5,20],"shift":6,"n":5,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(5, 23/44, 1/2, 21/44, 1/2, 是)
Wave4收束核對=(5, 23/44, 1/2, 21/44, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[1,20],"shift":7,"n":6,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(6, 131/260, 2, 1, 1, 是)
Wave4收束核對=(6, 131/260, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[2,20],"shift":8,"n":7,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(7, 38/75, -1, 0, 0, 是)
Wave4收束核對=(7, 38/75, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[3,20],"shift":9,"n":8,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(8, 173/340, 1/2, 167/340, 1/2, 是)
Wave4收束核對=(8, 173/340, 1/2, 167/340, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[4,20],"shift":10,"n":9,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(9, 97/190, 2, 1, 1, 是)
Wave4收束核對=(9, 97/190, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[5,20],"shift":11,"n":10,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(10, 43/84, -1, 0, 0, 是)
Wave4收束核對=(10, 43/84, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[1,20],"shift":12,"n":11,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(11, 231/460, 1/2, 229/460, 1/2, 是)
Wave4收束核對=(11, 231/460, 1/2, 229/460, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[2,20],"shift":13,"n":12,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(12, 63/125, 2, 1, 1, 是)
Wave4收束核對=(12, 63/125, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[3,20],"shift":14,"n":13,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(13, 91/180, -1, 0, 0, 是)
Wave4收束核對=(13, 91/180, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[4,20],"shift":15,"n":14,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(14, 147/290, 1/2, 143/290, 1/2, 是)
Wave4收束核對=(14, 147/290, 1/2, 143/290, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[5,20],"shift":16,"n":15,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(15, 63/124, 2, 1, 1, 是)
Wave4收束核對=(15, 63/124, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[1,20],"shift":17,"n":16,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(16, 331/660, -1, 0, 0, 是)
Wave4收束核對=(16, 331/660, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[2,20],"shift":18,"n":17,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(17, 88/175, 1/2, 87/175, 1/2, 是)
Wave4收束核對=(17, 88/175, 1/2, 87/175, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[3,20],"shift":19,"n":18,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(18, 373/740, 2, 1, 1, 是)
Wave4收束核對=(18, 373/740, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[4,20],"shift":20,"n":19,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(19, 197/390, -1, 0, 0, 是)
Wave4收束核對=(19, 197/390, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[5,20],"shift":21,"n":20,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(20, 83/164, 1/2, 81/164, 1/2, 是)
Wave4收束核對=(20, 83/164, 1/2, 81/164, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[1,20],"shift":22,"n":21,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(21, 431/860, 2, 1, 1, 是)
Wave4收束核對=(21, 431/860, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[2,20],"shift":23,"n":22,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(22, 113/225, -1, 0, 0, 是)
Wave4收束核對=(22, 113/225, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[3,20],"shift":24,"n":23,"threshold":[1,2]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(23, 473/940, 1/2, 467/940, 1/2, 是)
Wave4收束核對=(23, 473/940, 1/2, 467/940, 1/2, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[4,20],"shift":25,"n":24,"threshold":[2,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(24, 247/490, 2, 1, 1, 是)
Wave4收束核對=(24, 247/490, 2, 1, 1, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-bernoulli-cdf；資料={"p":[1,2],"c":[5,20],"shift":26,"n":25,"threshold":[-1,1]}。請依 [n,p_n,threshold,F_n,F,limit_CDF_continuity_point] 欄序回答。
(25, 103/204, -1, 0, 0, 是)
Wave4收束核對=(25, 103/204, -1, 0, 0, 是)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-bernoulli-cdf · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[1,20],"shift":2,"n":1,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(1, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(1, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[2,20],"shift":3,"n":2,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(2, 1/2, 1/50, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(2, 1/2, 1/50, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[3,20],"shift":4,"n":3,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(3, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(3, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[4,20],"shift":5,"n":4,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(4, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(4, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[5,20],"shift":6,"n":5,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(5, 1/2, 1/44, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(5, 1/2, 1/44, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[1,20],"shift":7,"n":6,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(6, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(6, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[2,20],"shift":8,"n":7,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(7, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(7, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[3,20],"shift":9,"n":8,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(8, 1/2, 3/340, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(8, 1/2, 3/340, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[4,20],"shift":10,"n":9,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(9, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(9, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[5,20],"shift":11,"n":10,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(10, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(10, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[1,20],"shift":12,"n":11,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(11, 1/2, 1/460, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(11, 1/2, 1/460, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[2,20],"shift":13,"n":12,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(12, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(12, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[3,20],"shift":14,"n":13,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(13, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(13, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[4,20],"shift":15,"n":14,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(14, 1/2, 1/145, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(14, 1/2, 1/145, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[5,20],"shift":16,"n":15,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(15, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(15, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[1,20],"shift":17,"n":16,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(16, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(16, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[2,20],"shift":18,"n":17,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(17, 1/2, 1/350, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(17, 1/2, 1/350, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[3,20],"shift":19,"n":18,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(18, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(18, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[4,20],"shift":20,"n":19,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(19, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(19, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[5,20],"shift":21,"n":20,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(20, 1/2, 1/164, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(20, 1/2, 1/164, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[1,20],"shift":22,"n":21,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(21, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(21, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[2,20],"shift":23,"n":22,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(22, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(22, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[3,20],"shift":24,"n":23,"threshold":[1,2]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(23, 1/2, 3/940, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(23, 1/2, 3/940, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[4,20],"shift":25,"n":24,"threshold":[2,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(24, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(24, 2, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-pointwise-gap；資料={"p":[1,2],"c":[5,20],"shift":26,"n":25,"threshold":[-1,1]}。請依 [n,threshold,absolute_gap,limit_CDF_continuity_point,symbolic_certificate] 欄序回答。
(25, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)
Wave4收束核對=(25, -1, 0, 是, gap_tends_to_zero_at_every_limit_CDF_continuity_point)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-pointwise-gap · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[1,30],"threshold":[-12,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/30, -12/7, 是, CDF_convergence_required_here)
Wave4收束核對=(1/30, -12/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[2,30],"threshold":[-11,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/15, -11/7, 是, CDF_convergence_required_here)
Wave4收束核對=(1/15, -11/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[3,30],"threshold":[-10,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/10, -10/7, 是, CDF_convergence_required_here)
Wave4收束核對=(1/10, -10/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[4,30],"threshold":[-9,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(2/15, -9/7, 是, CDF_convergence_required_here)
Wave4收束核對=(2/15, -9/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[5,30],"threshold":[-8,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/6, -8/7, 是, CDF_convergence_required_here)
Wave4收束核對=(1/6, -8/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[6,30],"threshold":[-7,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/5, -1, 是, CDF_convergence_required_here)
Wave4收束核對=(1/5, -1, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[7,30],"threshold":[-6,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(7/30, -6/7, 是, CDF_convergence_required_here)
Wave4收束核對=(7/30, -6/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[8,30],"threshold":[-5,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(4/15, -5/7, 是, CDF_convergence_required_here)
Wave4收束核對=(4/15, -5/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[9,30],"threshold":[-4,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(3/10, -4/7, 是, CDF_convergence_required_here)
Wave4收束核對=(3/10, -4/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[10,30],"threshold":[-3,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/3, -3/7, 是, CDF_convergence_required_here)
Wave4收束核對=(1/3, -3/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[11,30],"threshold":[-2,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(11/30, -2/7, 是, CDF_convergence_required_here)
Wave4收束核對=(11/30, -2/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[12,30],"threshold":[-1,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(2/5, -1/7, 是, CDF_convergence_required_here)
Wave4收束核對=(2/5, -1/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[13,30],"threshold":[0,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(13/30, 0, 否, limit_CDF_jump_no_requirement_from_definition)
Wave4收束核對=(13/30, 0, 否, limit_CDF_jump_no_requirement_from_definition)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[14,30],"threshold":[1,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(7/15, 1/7, 是, CDF_convergence_required_here)
Wave4收束核對=(7/15, 1/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[15,30],"threshold":[2,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(1/2, 2/7, 是, CDF_convergence_required_here)
Wave4收束核對=(1/2, 2/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[16,30],"threshold":[3,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(8/15, 3/7, 是, CDF_convergence_required_here)
Wave4收束核對=(8/15, 3/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[17,30],"threshold":[4,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(17/30, 4/7, 是, CDF_convergence_required_here)
Wave4收束核對=(17/30, 4/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[18,30],"threshold":[5,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(3/5, 5/7, 是, CDF_convergence_required_here)
Wave4收束核對=(3/5, 5/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[19,30],"threshold":[6,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(19/30, 6/7, 是, CDF_convergence_required_here)
Wave4收束核對=(19/30, 6/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[20,30],"threshold":[7,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(2/3, 1, 否, limit_CDF_jump_no_requirement_from_definition)
Wave4收束核對=(2/3, 1, 否, limit_CDF_jump_no_requirement_from_definition)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[21,30],"threshold":[8,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(7/10, 8/7, 是, CDF_convergence_required_here)
Wave4收束核對=(7/10, 8/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[22,30],"threshold":[9,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(11/15, 9/7, 是, CDF_convergence_required_here)
Wave4收束核對=(11/15, 9/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[23,30],"threshold":[10,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(23/30, 10/7, 是, CDF_convergence_required_here)
Wave4收束核對=(23/30, 10/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[24,30],"threshold":[11,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(4/5, 11/7, 是, CDF_convergence_required_here)
Wave4收束核對=(4/5, 11/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-continuity-obligation；資料={"p":[25,30],"threshold":[12,7]}。請依 [p,threshold,continuity_point,definition_obligation] 欄序回答。
(5/6, 12/7, 是, CDF_convergence_required_here)
Wave4收束核對=(5/6, 12/7, 是, CDF_convergence_required_here)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-continuity-obligation · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[1,20],"shift":2,"prefix_length":1}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/20, 2, 1, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/20, 2, 1, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[2,20],"shift":3,"prefix_length":2}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/10, 3, 2, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/10, 3, 2, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[3,20],"shift":4,"prefix_length":3}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 3/20, 4, 3, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 3/20, 4, 3, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[4,20],"shift":5,"prefix_length":4}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/5, 5, 4, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/5, 5, 4, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[5,20],"shift":6,"prefix_length":5}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/4, 6, 5, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/4, 6, 5, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[1,20],"shift":7,"prefix_length":6}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/20, 7, 6, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/20, 7, 6, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[2,20],"shift":8,"prefix_length":7}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/10, 8, 7, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/10, 8, 7, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[3,20],"shift":9,"prefix_length":8}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 3/20, 9, 8, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 3/20, 9, 8, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[4,20],"shift":10,"prefix_length":9}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/5, 10, 9, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/5, 10, 9, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[5,20],"shift":11,"prefix_length":10}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/4, 11, 10, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/4, 11, 10, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[1,20],"shift":12,"prefix_length":11}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/20, 12, 11, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/20, 12, 11, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[2,20],"shift":13,"prefix_length":12}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/10, 13, 12, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/10, 13, 12, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[3,20],"shift":14,"prefix_length":13}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 3/20, 14, 13, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 3/20, 14, 13, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[4,20],"shift":15,"prefix_length":14}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/5, 15, 14, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/5, 15, 14, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[5,20],"shift":16,"prefix_length":15}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/4, 16, 15, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/4, 16, 15, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[1,20],"shift":17,"prefix_length":16}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/20, 17, 16, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/20, 17, 16, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[2,20],"shift":18,"prefix_length":17}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/10, 18, 17, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/10, 18, 17, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[3,20],"shift":19,"prefix_length":18}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 3/20, 19, 18, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 3/20, 19, 18, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[4,20],"shift":20,"prefix_length":19}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/5, 20, 19, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/5, 20, 19, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[5,20],"shift":21,"prefix_length":20}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/4, 21, 20, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/4, 21, 20, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[1,20],"shift":22,"prefix_length":21}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/20, 22, 21, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/20, 22, 21, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[2,20],"shift":23,"prefix_length":22}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/10, 23, 22, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/10, 23, 22, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[3,20],"shift":24,"prefix_length":23}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 3/20, 24, 23, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 3/20, 24, 23, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[4,20],"shift":25,"prefix_length":24}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/5, 25, 24, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/5, 25, 24, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate
Bernoulli symbolic tail與極限CDF。操作=convdist-finite-prefix；資料={"p":[1,2],"c":[5,20],"shift":26,"prefix_length":25}。請依 [p,c,shift,prefix_length,sufficient,boundary] 欄序回答。
(1/2, 1/4, 26, 25, 否, finite_prefix_not_convergence_certificate)
Wave4收束核對=(1/2, 1/4, 26, 25, 否, finite_prefix_not_convergence_certificate)；依完整明示資料重算；只在極限CDF連續點要求收斂且有限prefix不足；不要求coupling且不推出依機率、幾乎處處或Lp收斂。
依分布收斂 · qf-mod31-convdist-finite-prefix · candidate