{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"family":"qf-mod33-dimension-independent-lower-bound"},"total":25,"page":1,"page_count":1,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0051","number":16951,"title":{"zh-Hant":"第 16951 題：向量空間維度","en":"Question 16951: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"239b86e37c24dd07af8660247807a9df07a32b7012fa1e5f081e36d69df52016","derivation_sha256":"991bf050da60c55f5f652738ddc99da2590a042bdc410e261256c89e35bd4b47"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0052","number":16952,"title":{"zh-Hant":"第 16952 題：向量空間維度","en":"Question 16952: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0a50db77cc1e4d960a5f351fc08335c684a179abf2807945816ebbed5cd2558a","derivation_sha256":"69f341793da9c2825a8c4fe831dfff8e33ebcc8761f02c4a6e65d08fbcc74ed2"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0053","number":16953,"title":{"zh-Hant":"第 16953 題：向量空間維度","en":"Question 16953: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"965877d411df6ddb42dc74c0966a2bc6ff869e3f3a105c123f1be5054e1f6ad2","derivation_sha256":"3062d523bb423413af777008ae65b45c705705cb6bcec4ae57b82dbbaaf2aae6"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0054","number":16954,"title":{"zh-Hant":"第 16954 題：向量空間維度","en":"Question 16954: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f5e9b07ccdc461b28736d8d14f94086c450807a2d54d26d9a78886dc98084fbe","derivation_sha256":"6aa1eb4828003ca8f4e5515e5153f5e98af1844b7a510a562eb96da7c35b0cdc"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0055","number":16955,"title":{"zh-Hant":"第 16955 題：向量空間維度","en":"Question 16955: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c90b46f760306252fa8f953a05ba70f028ecf828a9d51295321505f2d061226d","derivation_sha256":"bb7e082c0a8b615227c17736926ff7443debbd2554af6e911417b4addde800e2"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0056","number":16956,"title":{"zh-Hant":"第 16956 題：向量空間維度","en":"Question 16956: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ad0b41829b0f2eb0b69b388b5ba56d0fe29957ccaca1482a731dcedaee0225fb","derivation_sha256":"3dcefc823ba72956de2d979cd4aa3909a078de084ae8b955c70a65281b224f06"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0057","number":16957,"title":{"zh-Hant":"第 16957 題：向量空間維度","en":"Question 16957: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a30caffe338a4be4c0825f115113b2a8c75ec295077a46442cb8682a9ef58587","derivation_sha256":"dbb765cb8fa63c3b754550acb1e6e6102662a3b00033732ae98740bd88ed835a"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0058","number":16958,"title":{"zh-Hant":"第 16958 題：向量空間維度","en":"Question 16958: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f9ee3f42a1c43d6802688b94b09239ad143eb2e6c06cf1248bbc3d33317bb1a7","derivation_sha256":"292abdd76c60f1ff752fcc26f25faa8585ff3dd4e336b52141f76a08f7ebc314"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0059","number":16959,"title":{"zh-Hant":"第 16959 題：向量空間維度","en":"Question 16959: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"db294b6876cfcc141b4c44b7e7bd811260d6a50ecbcd09ed1201364c62976a91","derivation_sha256":"44638e84144346361093b9b6edae27e725c82c95fe62a76d96e86c7400556d71"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0060","number":16960,"title":{"zh-Hant":"第 16960 題：向量空間維度","en":"Question 16960: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"40c7d222c8f32d70822c58bc9093c807a759bd675bfdde2aac374aaed9439935","derivation_sha256":"ce22817d9ab5cef7c3f9de0d6f242b54011c900c2cdfddbdc4e00e1bc20ae58b"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0061","number":16961,"title":{"zh-Hant":"第 16961 題：向量空間維度","en":"Question 16961: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9c1ca755345186e513ddae7ce844b3aa6f160b5fffb8f9bb15d4df8787232674","derivation_sha256":"162295a0b9d0aec09c6da898cfb69916672a8ea42aa2eb3a7109dc3331a974b8"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0062","number":16962,"title":{"zh-Hant":"第 16962 題：向量空間維度","en":"Question 16962: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a398682921c9d961e6bb4d5967d79b9d6919f0f13b941305f25cfc368a075e3b","derivation_sha256":"fa46df7187fc9d5f4475d0cd1abf0db2188854c6e5b550cbdeb4b3afdb9cb503"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0063","number":16963,"title":{"zh-Hant":"第 16963 題：向量空間維度","en":"Question 16963: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b26687ac5e2cf257143766cfc428bb1e5f6046ce8303fd2a89875fce300115d5","derivation_sha256":"08f97990a6a7b40d94c0be794feeb35dabb2ff6f233d197bd222c7730a4f242e"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0064","number":16964,"title":{"zh-Hant":"第 16964 題：向量空間維度","en":"Question 16964: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0d2ea8951e460dd706b0153dec66a9949f8a5a7789cc2ebf23e466597fe18d87","derivation_sha256":"71affa2e69b36614ab6d183b3ef1709d7ab755942464b8b53b9d492681391083"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0065","number":16965,"title":{"zh-Hant":"第 16965 題：向量空間維度","en":"Question 16965: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"99c845b260702ad211959a9fdf0709975a7559dbbd30cfc178b75e91f1c29f41","derivation_sha256":"ea5e17143bc34ba660530e94e08629becbf0b080de9a181b568a5a9029569db9"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0066","number":16966,"title":{"zh-Hant":"第 16966 題：向量空間維度","en":"Question 16966: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"fa9717c97798b98e82defcf1bcf14bdb29ad43a73cef99e4cd764d6653561dc5","derivation_sha256":"979c20e6459cb51427f7f79a6ed2f6bc0f1a8bd3284408273448716eab4c68ce"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0067","number":16967,"title":{"zh-Hant":"第 16967 題：向量空間維度","en":"Question 16967: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ae77c25aab7bc446ed42ee7d4db73796c15224a0ed1cb2e8d4aa6baccbbac639","derivation_sha256":"2774d088757776515d410a527647c990c698f6b3dbd9a0ef88f9ceb808a7adcc"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0068","number":16968,"title":{"zh-Hant":"第 16968 題：向量空間維度","en":"Question 16968: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1cce499b0d0a9412cef5dd0611c04584827a5983ad45b9cd35db1d82b2238f35","derivation_sha256":"6a710ec70dce451a3e8877d8a988bab58c3cabf12c11792dda1d15f5f3f3edf3"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0069","number":16969,"title":{"zh-Hant":"第 16969 題：向量空間維度","en":"Question 16969: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f5777158e907651cffc7cb1e96ed544546dd5218bc24effd9346a01092932703","derivation_sha256":"e8dbafd199461ff07edebcca1a89d6521a53c2b5e7fc31b7b139b8511f5f769c"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0070","number":16970,"title":{"zh-Hant":"第 16970 題：向量空間維度","en":"Question 16970: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"83ed0c11ef566b88d15704aa4dcea425973eace19e6513fa52c31a154fde0c16","derivation_sha256":"d8cbb7bda19337709ce0c5a5bbadb9c990ee33859518fd3b5deb2c6a4f1485e6"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0071","number":16971,"title":{"zh-Hant":"第 16971 題：向量空間維度","en":"Question 16971: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1877dac90cfed9f848153ddf919fceedf18eb41b0f34e9cb82ce0c59a520abec","derivation_sha256":"829ddad91002e9ccd225d9b63c35f6d69a92161b9aeefbc3451c120565704c84"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0072","number":16972,"title":{"zh-Hant":"第 16972 題：向量空間維度","en":"Question 16972: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7a71a60a36f131dafeb7141651c9b364b8510c7b9308f1295b5928f3b3f3a03c","derivation_sha256":"00c02bf354c2076c2e7e932e95e0092868249571eaaa561d3e306b881705a37e"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0073","number":16973,"title":{"zh-Hant":"第 16973 題：向量空間維度","en":"Question 16973: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ee4f221592cd9c83a97e8b1037baed5dc8b2f80b909d711fb224cc63161802ab","derivation_sha256":"1b7fa00fb33ff94a32359753fcf8bb4a942c4550497473335156087aa8abce77"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0074","number":16974,"title":{"zh-Hant":"第 16974 題：向量空間維度","en":"Question 16974: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bbc7536a2b6b5c36ef4fe7a562fd4615d20948db976770404cf48865a582f044","derivation_sha256":"ed214cd2e4659ebcd3aa30990e2b8a51e688aa9c8aa414c2d9e12d63240158b0"},{"question_id":"q-20261014-advance-20261102-r01-vector-space-dimension-0075","number":16975,"title":{"zh-Hant":"第 16975 題：向量空間維度","en":"Question 16975: An Independent Family Gives Only a Lower Bound"},"family_id":"qf-mod33-dimension-independent-lower-bound","batch_id":"batch-20261014-advance-20261102-r01-vector-space-dimension-foundations","mko_ids":["mko-vector-space-dimension"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"98f2f42f46069106c2e76277c424cf59b99fe4c2f9547f9b8e386dc0ceacaf9d","derivation_sha256":"0fcc9be27b06d2508cfe322281887df324062e0eb3989ba178003ed6f878a60d"}]}
