{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"mko":"mko-monotone-sequence-convergence-theorem","page":"4"},"total":100,"page":4,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0001","number":21076,"title":{"zh-Hant":"第 21076 題：單調有界數列收斂定理","en":"Question 21076: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0b8076ab03c30906b1f096a1a0a0acfde39b47f21767e3189c0c961f52a02b60","derivation_sha256":"fc49899fc36f6853d9f84869d570f257d849af8cb7a4dd9ab57dc38d6c4c140a"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0002","number":21077,"title":{"zh-Hant":"第 21077 題：單調有界數列收斂定理","en":"Question 21077: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e020361036c7f6bcb35b081ae117c7cce8adcd0a34fe5a47a9b80a3625e1c40d","derivation_sha256":"4f8f93519421f3959c837259088119c856e0163a85906ab11377c599508f2b27"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0003","number":21078,"title":{"zh-Hant":"第 21078 題：單調有界數列收斂定理","en":"Question 21078: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d83a0640c4b21b2466aac3ec6b246a5469e76e8ea0280adba56c16e9c6d35110","derivation_sha256":"ca554f1a221b41c5dc73e54c9bb3b735da3f86d34f76e46309973c20696c802d"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0004","number":21079,"title":{"zh-Hant":"第 21079 題：單調有界數列收斂定理","en":"Question 21079: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"da08a80b720383d55e6871c2b9c9148ab5c140ff6ae5b7d4332ab7f5c600dba4","derivation_sha256":"3d609138e91a9b99c7ee0c5c37c729e5cf34f0d854bdce8a350dee92adab3d46"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0005","number":21080,"title":{"zh-Hant":"第 21080 題：單調有界數列收斂定理","en":"Question 21080: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3c70cef54a81ed2fbf11e89b658e9e763b124861d9ac05e2752b0f0c994890aa","derivation_sha256":"7d7f07648ad40b67d9d6339eaf6bf58afe4b9870a5e5a23af12f88b34c25b255"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0006","number":21081,"title":{"zh-Hant":"第 21081 題：單調有界數列收斂定理","en":"Question 21081: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d31041e62e4797af9956de3b4b56b52129495cc75389cfd942baa709cbd6682e","derivation_sha256":"19b795bd7914ddbeefb85b36bfe3ff90a70968ae869c893cd2470f41b4e9d658"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0007","number":21082,"title":{"zh-Hant":"第 21082 題：單調有界數列收斂定理","en":"Question 21082: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"aa48ccb679c0f37ee30744b426fcc62582028b079af806d98cf44c046140d1ba","derivation_sha256":"f7fd1d63fa70208308e564b9c9668b301b4da1438dd94c0fce9f2cbb1e60e29e"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0008","number":21083,"title":{"zh-Hant":"第 21083 題：單調有界數列收斂定理","en":"Question 21083: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d997b10ffb27e1f9f5059134aa42af312fe3999de7055008da8cfd35c5c73ad3","derivation_sha256":"b8b015aaac9f99707262c5920010aa80d91f948c7070f1726ac9455fd05791a4"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0009","number":21084,"title":{"zh-Hant":"第 21084 題：單調有界數列收斂定理","en":"Question 21084: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1ca5e767aa6390cd38508498167f5b2f57d2a4c8e97d9e6a2d80091c4ec2ea1b","derivation_sha256":"4e34c3f1881b4b7a34353a8516a1e8c7747127267c48ec28cfdd04ba0438dedf"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0010","number":21085,"title":{"zh-Hant":"第 21085 題：單調有界數列收斂定理","en":"Question 21085: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d985c47d025e2f7499601ddb5b2151bdeb8c5d1593a77017dd17ba839645c9a9","derivation_sha256":"212ef642ed93f0d99663a2c326d47d5a5ea4a25a5859a449bd339ac0f1272d5e"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0011","number":21086,"title":{"zh-Hant":"第 21086 題：單調有界數列收斂定理","en":"Question 21086: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b40747e3cc07e4029ec04ad07fb567e3b68159387cd8131bfd25a560b84b3af2","derivation_sha256":"ec3106cef01194edb809ff21dad102f6e69756424cb3ff8bfabf10f42633eafe"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0012","number":21087,"title":{"zh-Hant":"第 21087 題：單調有界數列收斂定理","en":"Question 21087: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4b56ed22a110d4c07374c11b0b9fa440a3ca43b998de7051ed4ffbf9647d90fc","derivation_sha256":"b333b0f361a587aaa83a3f33dccb0bdd5fadf5ccb197797003f5e1ead511b293"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0013","number":21088,"title":{"zh-Hant":"第 21088 題：單調有界數列收斂定理","en":"Question 21088: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2a99600031ee61ef0b800a472c288f0f9a13af086568bbb5d6a9f137968a2bce","derivation_sha256":"6cf3bb5cd788d5c112219f33ed53285907732bb5d55299fec5f4c2b03116bdab"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0014","number":21089,"title":{"zh-Hant":"第 21089 題：單調有界數列收斂定理","en":"Question 21089: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"44f427c26119fbc27494fe412bc31e895717887d1891ed498b9a7ea8431aa380","derivation_sha256":"a6c2c634c8f44b1a726fd6cefa4eeca78045240f4584c8bd0393b0424faddd34"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0015","number":21090,"title":{"zh-Hant":"第 21090 題：單調有界數列收斂定理","en":"Question 21090: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"449f1df18e4576a3107396d1e32e1861082a3e985279a0ae06cba4f4f5650a89","derivation_sha256":"b2a7ab172013ec571892ae26119057ae33068b310a14098e95372097b28af874"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0016","number":21091,"title":{"zh-Hant":"第 21091 題：單調有界數列收斂定理","en":"Question 21091: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6239d936ca0da4bcaba6da2c364afe8b3181db95443651329b607b88a501b46f","derivation_sha256":"ae06302b2adb3037fed3567480499af6081cb54fbaa6be1892dd1f2dfa1ab157"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0017","number":21092,"title":{"zh-Hant":"第 21092 題：單調有界數列收斂定理","en":"Question 21092: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9df6f418fca60521eba6017d59f3456bd7e7413884fa6a7cff0106246e453f73","derivation_sha256":"f96faa3ca372f07954258e49b0b7221c90aa5907eb69ab24350453ef9e71e8ac"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0018","number":21093,"title":{"zh-Hant":"第 21093 題：單調有界數列收斂定理","en":"Question 21093: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b11d77204f309cf94145a1c81b8a96a6bfc42a7a8b6c1b51e6639a5eb01f6ad1","derivation_sha256":"212f61bf93597655d231d52974f61546fc57e3bc76adfca7e7a83549e32ac973"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0019","number":21094,"title":{"zh-Hant":"第 21094 題：單調有界數列收斂定理","en":"Question 21094: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3f6651398e11c449d47f3da412015b98b89000873f2f16ff5b831181dbd3746a","derivation_sha256":"a21314b0d5d7487726c6acdcdda59c4e6f467d3f9354b6e7da830b6131f961d9"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0020","number":21095,"title":{"zh-Hant":"第 21095 題：單調有界數列收斂定理","en":"Question 21095: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f16174160e3cfe4b1832dd43adb00899ae4b29e578013067efa7af88ef2a16e2","derivation_sha256":"f7e7d76d3b4bb28d52e9811d002094524c3142c14f33cd15d0b389ce9b7f085a"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0021","number":21096,"title":{"zh-Hant":"第 21096 題：單調有界數列收斂定理","en":"Question 21096: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"977dfc38cce09eba1494bde522ecd1707cbe2e241de035ad23c6b880b5ce9d04","derivation_sha256":"5b34b5e5005f103b9b0fbda80f99a0ff3e534886a12a43818f4952094ad9a29c"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0022","number":21097,"title":{"zh-Hant":"第 21097 題：單調有界數列收斂定理","en":"Question 21097: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"536465f74e387a2720a9514dcf7cbc234ada37c2cd9fb418ad76e88a82cf75f4","derivation_sha256":"b5e1c38771edd5d7d6d7a3d0064761c026f4d5178cef4ad8689cda6068f62aa7"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0023","number":21098,"title":{"zh-Hant":"第 21098 題：單調有界數列收斂定理","en":"Question 21098: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0f8e3aad84be320f11b10c1f67bca74bef21bc093e38177ad5edbf448bf3de88","derivation_sha256":"490c2f12a94cf941ebefb880008a1981bcc2c6fdfea18283d3ca1baef0eac576"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0024","number":21099,"title":{"zh-Hant":"第 21099 題：單調有界數列收斂定理","en":"Question 21099: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"63a374ef93bb30ce6aa761c36557c5280fbaf46124e8047d35adcf8627de2552","derivation_sha256":"7d4f407277da37a78dd7beebfef3ec3b73ed7e9b933f32a58d0b23d90653fee4"},{"question_id":"q-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-0025","number":21100,"title":{"zh-Hant":"第 21100 題：單調有界數列收斂定理","en":"Question 21100: A Whole Nondecreasing Bounded Tail Has Its Supremum as Limit"},"family_id":"qf-mod39-monoseq-increasing-limit-certificate","batch_id":"batch-20261014-advance-20261108-r02-monotone-sequence-convergence-theorem-foundations","mko_ids":["mko-monotone-sequence-convergence-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"152afdb452659cc107d5e20f38ca054cd508d16ac418afa1a79aa7a7a8075314","derivation_sha256":"ae6a17da264bbd26dc2e245a6624642ad3583f70d9376d845e31f4bdeb16bba2"}]}
