{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"mko":"mko-vector-subspace","page":"2"},"total":100,"page":2,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0051","number":16426,"title":{"zh-Hant":"第 16426 題：實向量子空間","en":"Question 16426: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"677f346c501ed7700365dfba7bd5c5b51024d7e5364542811d70bdb7698d5d4c","derivation_sha256":"2e070a83960813cc974cb0f266ee3e4d75e97f43a26844ccde6ef89db43ef2cb"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0052","number":16427,"title":{"zh-Hant":"第 16427 題：實向量子空間","en":"Question 16427: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f117b9941f0b346e9defd3cefe9680db41d7001c899b642facc6bc3cece93926","derivation_sha256":"bb8a1d7bf2590d2f0826077abc66aa05eca1197275af19fa8c915554ab1b337a"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0053","number":16428,"title":{"zh-Hant":"第 16428 題：實向量子空間","en":"Question 16428: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ffcfd3ac49e7d743ca1e534157d2bde105c9cfb2ed027260226ba732ef58d0dd","derivation_sha256":"29542b18699fc6f2db8a51596e9dbb6377f9df1322121d4772bf93ad37901a0d"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0054","number":16429,"title":{"zh-Hant":"第 16429 題：實向量子空間","en":"Question 16429: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ebe0dd79ceb9bb0e2fcea53bdec8d48daedb0fa81baf92caad805ef28d6fa30d","derivation_sha256":"a4f4194839b3eae9ed4a4390a78254d10c3f828c5b74b0340e30b09aaedce85d"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0055","number":16430,"title":{"zh-Hant":"第 16430 題：實向量子空間","en":"Question 16430: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"04d40f18b4a82e67d6cc483caf1c14acec00893006f6c31315c69b332b3760b5","derivation_sha256":"4bd2650b02f13ebf6ac6ee669b79615fff7ec88dd79b039929dd973659041a56"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0056","number":16431,"title":{"zh-Hant":"第 16431 題：實向量子空間","en":"Question 16431: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a3e4132e656be2294ebe8e8be1756ab77aa873ff87f7a8d270822cef2e9da645","derivation_sha256":"93a6d17a57b113f7d2626c7580d8d86a112367723a88b8c9a216c626ce20b4bc"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0057","number":16432,"title":{"zh-Hant":"第 16432 題：實向量子空間","en":"Question 16432: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e08f086f06b45c78a3a761d223a8b2d75085d18072a72addd8f20442faffaf51","derivation_sha256":"5abe7440b843a35c17770e1cc8aa71b0187842c280bca2bd51ab70952d0b3f5d"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0058","number":16433,"title":{"zh-Hant":"第 16433 題：實向量子空間","en":"Question 16433: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9a4d9563ea778e6a7d35b7c931879994c8948ccdea91ef90a35315931ef8575b","derivation_sha256":"40b5bac7042b0e8dc57b75b05b10bd70b058bb889686948fd4f928629f106140"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0059","number":16434,"title":{"zh-Hant":"第 16434 題：實向量子空間","en":"Question 16434: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c873d3a616603cb7370153531f05d8d86d65010458d422f3dc1f5fdd9ebd4bb8","derivation_sha256":"a5d5a75cbf48b7cefeeb3293a54f812a22e0fd8e31330a2e47de1a5f526fce08"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0060","number":16435,"title":{"zh-Hant":"第 16435 題：實向量子空間","en":"Question 16435: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"075320d0ac78eb66242fa714468571a0e30b07f32c3b3ecf5fe600af3669bcd6","derivation_sha256":"ea40f10ca0e99d1dca15c6b015992807c6c81f7569b53e2597a9828b5bd432fd"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0061","number":16436,"title":{"zh-Hant":"第 16436 題：實向量子空間","en":"Question 16436: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"32abb450e04490068f4a340581abc99e890276e0873fdb6131e2066db4968535","derivation_sha256":"38082978c9409861847a6b586853b64a7ddf651b9bb17ab9ec07311d21618072"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0062","number":16437,"title":{"zh-Hant":"第 16437 題：實向量子空間","en":"Question 16437: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"19f11d1c89758380bba36657ef4ab8ece74f529d6fd6c44df22f46fd5d0dc394","derivation_sha256":"11591ecd40660510b369a0c6cb1ac7bba7478849ff8a73a2fffdd0dfa17f0717"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0063","number":16438,"title":{"zh-Hant":"第 16438 題：實向量子空間","en":"Question 16438: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"fd28181e480b09087706b232c080bf2d1d75fea6f225e38a50c56eb912c3e4f5","derivation_sha256":"e54eaf52ec0b28f1cbcac0986c617a7cd2a527e28741562fa19a367b400f9fae"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0064","number":16439,"title":{"zh-Hant":"第 16439 題：實向量子空間","en":"Question 16439: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a8197600e803e6ed9e73aa5d48de7cacd6afa146adbaa1fa0d270fddd9e97843","derivation_sha256":"10015c7715dbfebe1acbaa1506965f5e7a85a7ed67db3f0d9639ec8edc0cdec4"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0065","number":16440,"title":{"zh-Hant":"第 16440 題：實向量子空間","en":"Question 16440: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1e29500e1b21989decb38a23de231d34ff2b9a9d39031deea2a85c66155caabc","derivation_sha256":"9f39759b5767dd3920d37ee84d6a6103f19a9bca2230c1c03c9907707bd4c7cf"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0066","number":16441,"title":{"zh-Hant":"第 16441 題：實向量子空間","en":"Question 16441: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"03bf5eaf7c639b01732139c10c309a54d505a5cc722a7fc07b9847fdbba62d82","derivation_sha256":"edd0eb80525ed9d424b291afb7972df7875901da9142753c2994a6198b6b51a3"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0067","number":16442,"title":{"zh-Hant":"第 16442 題：實向量子空間","en":"Question 16442: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bf90474a71e3ae62ad7964d08eea284ae30581ce324b539ce5710ca37ec4357b","derivation_sha256":"84df16bbbd57f9d7795b8216e60b6864795ecca8c50d83271fd46c5b357123c5"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0068","number":16443,"title":{"zh-Hant":"第 16443 題：實向量子空間","en":"Question 16443: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"eadeab968971d201a33b19925b7bcc8adf1210b43f88d4423fe8f45d3bb746d4","derivation_sha256":"d0a8eeb731c6a53bb62a14abcd6f3e7f72ae5675da2c65225f46d49a77e152bc"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0069","number":16444,"title":{"zh-Hant":"第 16444 題：實向量子空間","en":"Question 16444: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6607ef6a0606f6644da9170e361ae7b29e26bcc2cf97665d9a2e6dca8fb75e9d","derivation_sha256":"4da1885e5798fe3199efd9ab0d058ad1faee2cec61df3ce8f27038c5ad6c7754"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0070","number":16445,"title":{"zh-Hant":"第 16445 題：實向量子空間","en":"Question 16445: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f141c2f399819b1577073aa4b0c7d26b918727e42ed2d7b69950d18b43a551ba","derivation_sha256":"7c605f84a9e92477a42f6dfa9a608ac8b0257ac89206f60f4ddb7923dacd8938"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0071","number":16446,"title":{"zh-Hant":"第 16446 題：實向量子空間","en":"Question 16446: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bd932e1bc1c7ea01b87250faa61adb2d32ed5ce880ed107f55866f69490890a1","derivation_sha256":"8ea5693fa2cd2db0598b5614ad19d5c70c6a8ff3175efe7f5b74da6cc7b396c4"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0072","number":16447,"title":{"zh-Hant":"第 16447 題：實向量子空間","en":"Question 16447: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ff43c15821eec1aa32afad1500154811b1e253185cb51471ddcffa14be76a080","derivation_sha256":"4485bfa15569ea6ae48cdc4f3db01e1beafac878d6e26b13324ae3b4d4cfbc2a"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0073","number":16448,"title":{"zh-Hant":"第 16448 題：實向量子空間","en":"Question 16448: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c05dfdf89e51f4d5fe8d6fcd35adab18b7dcfe2a0cbea999786c0c084c4e875d","derivation_sha256":"948673f1e769bb0ce7c74dc2452c0df57fea4295a8a8e5bcca2b32d733e91acc"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0074","number":16449,"title":{"zh-Hant":"第 16449 題：實向量子空間","en":"Question 16449: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"63ad6892221fafd87b25d3edd59f544eba0acca832bab11af2100e44b3633aae","derivation_sha256":"6194c9f9e8e7fc97bfa731d08cde1cd8de15af8beff1cde26dfa36266422e9d1"},{"question_id":"q-20261014-advance-20261101-r01-vector-subspace-0075","number":16450,"title":{"zh-Hant":"第 16450 題：實向量子空間","en":"Question 16450: A Finite Nonzero Real Vector Set Cannot Pass Universal Scalar Closure"},"family_id":"qf-mod32-subspace-finite-set-counterexample","batch_id":"batch-20261014-advance-20261101-r01-vector-subspace-foundations","mko_ids":["mko-vector-subspace"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"12be1e2eefe5ae21d8d18bf196c9fd870d63f5247d3d02c899684aa45f6ae410","derivation_sha256":"0b558b5cbcd41a4f5b221c072771e9501aa39d7572a804c4021aa796fdbf0411"}]}