{"schema_version":"ocme-public-explorer-results-v1","locale":"zh-Hant","filters":{"family":"qf-mod30-hilbert-named-certificate"},"total":25,"page":1,"page_count":1,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0001","number":15251,"title":{"zh-Hant":"第 15251 題：實Hilbert空間","en":"Question 15251: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3a1598de636d8f34a75d22841902f2768b1f470940e4f840db72af93474d6975","derivation_sha256":"1215bec5cfd1f2969487b870ad24d684209998d8b86a31200fe67f8fbb056c92"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0002","number":15252,"title":{"zh-Hant":"第 15252 題：實Hilbert空間","en":"Question 15252: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"260edc37a2b6a825ca0be8165cd0ae03bc0ccd49135ea07922c5d771e7c3d942","derivation_sha256":"53857d21636a499d45de3d8b170601b9bc1bace3910da6201764bb650eed82dc"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0003","number":15253,"title":{"zh-Hant":"第 15253 題：實Hilbert空間","en":"Question 15253: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"16ec501ae6b9ec054e19a8461cbc8e3bc2bc213fba55c178e3a03156a655b8de","derivation_sha256":"907dba2e1c5fec70a72c94820a7257d445fada10c852fdf1aaa96f5e225d9372"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0004","number":15254,"title":{"zh-Hant":"第 15254 題：實Hilbert空間","en":"Question 15254: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5b3bf2e3ad39ccd2a7b3e774cb2fba9b62e73ef6c33cc15c30737ed47a06a29c","derivation_sha256":"7065c495174d310f56c8203809f848c8ca9179a262270636ab5e14aa06d7bb49"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0005","number":15255,"title":{"zh-Hant":"第 15255 題：實Hilbert空間","en":"Question 15255: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7e9ea0a708647fb170a58b8608c69734c82fcfc36540034c5a838f36e41c17f2","derivation_sha256":"c50b1da78156e4865d63b120fb262d08d54c0e9f7f5dab6f9d96b9294a5c97ce"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0006","number":15256,"title":{"zh-Hant":"第 15256 題：實Hilbert空間","en":"Question 15256: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d6766b8db8b0306d2394b2abd026b319ff37f29b6c8b8dc8ec776a0ed4cb474b","derivation_sha256":"aa8ab4cc2bece98742f485c0881ac4879da566176eb455f11c128cf1072681d8"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0007","number":15257,"title":{"zh-Hant":"第 15257 題：實Hilbert空間","en":"Question 15257: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c8759ff7bdaf32f7174546fc9adb743f65ed9b73dfd949ef5f33e8878b43b6ba","derivation_sha256":"edc61b675a4c479f65e530b1a2ef40dc5b427a0287b0f20aa56b2c287a177c3d"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0008","number":15258,"title":{"zh-Hant":"第 15258 題：實Hilbert空間","en":"Question 15258: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d6d0c13be09b1e4c35058d4cf02057f1fb58cd4faaac1e6db6a4a08fbe907d75","derivation_sha256":"a9c1e4bd6b11a5b1ab4a51ad642e0f68ff3d5528fb3a2c7e2a8064c08b397b51"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0009","number":15259,"title":{"zh-Hant":"第 15259 題：實Hilbert空間","en":"Question 15259: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1efca9ec182117020b253e10cab8390db5f591653aad24d007720ffdf9329e30","derivation_sha256":"a1601eddd3247d298643255ca47ca783e42fe28665288bcd74eb2621625327d5"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0010","number":15260,"title":{"zh-Hant":"第 15260 題：實Hilbert空間","en":"Question 15260: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4e6570e370074cca0ae34d9d0a479a36f333245f9f96446128cfadb08ecb4663","derivation_sha256":"af5aaef614c76b6dc5ae37769edb85f2db61720480ab5a459adbb35a4d7c5b67"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0011","number":15261,"title":{"zh-Hant":"第 15261 題：實Hilbert空間","en":"Question 15261: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6a5915edf811aef1d66d523aacac74a6ef10aae726c36a657989c02a81c9b4f1","derivation_sha256":"4698e682daf394ae2fe81e98cbf40b32bd174a8a9055ca6eb32b1d0b2e5cf516"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0012","number":15262,"title":{"zh-Hant":"第 15262 題：實Hilbert空間","en":"Question 15262: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"56fd9ba4a406bf012272f85d161a90253dc8964917fa0864bd462bd5ddf1b8ba","derivation_sha256":"36821f0475996df53194c418cee8ad94a69e8738eb7063a126685bf07a826540"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0013","number":15263,"title":{"zh-Hant":"第 15263 題：實Hilbert空間","en":"Question 15263: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3443170d462860e7b6a5492bd5c8623bb07e76fae109dfc242b26d9d9874a1bd","derivation_sha256":"b0db80e854933a9a6f064eb6353aebac15246a4012e479c02e813c2128dac15f"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0014","number":15264,"title":{"zh-Hant":"第 15264 題：實Hilbert空間","en":"Question 15264: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"94a7e9e63110c71c817844476f3d5f256409a27dd09946b58d2b9847ec33956d","derivation_sha256":"4fa7e38a76e0a897a9d6eab392e499d7432375c0e54200224e0536800cb0739e"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0015","number":15265,"title":{"zh-Hant":"第 15265 題：實Hilbert空間","en":"Question 15265: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0b7b1e2ff6b9ae41a9cf7d3cdbfdbc2ef0aa5dbfb7ac88d48bea112eaa8cf534","derivation_sha256":"08b42c43dcdbe2b406803168daabb8990c1113b46031df0a2510315179e03cfa"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0016","number":15266,"title":{"zh-Hant":"第 15266 題：實Hilbert空間","en":"Question 15266: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"cb0bb8f0aee9aa845630cceee5be9b79d91383c1c347212fc822a5a8edb693d0","derivation_sha256":"ddf29c1dcde1a72ebb09f3af3f95e8ed6318fd3c6328390ed82366e388b72d48"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0017","number":15267,"title":{"zh-Hant":"第 15267 題：實Hilbert空間","en":"Question 15267: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"249d8d6c207825af2f27befdc1c01e544d6f8b3d535fc7d6795c432a4afa1892","derivation_sha256":"6fb64c42dd494d3b38e57f13b097900f425ba6788854437849119c1881e2135a"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0018","number":15268,"title":{"zh-Hant":"第 15268 題：實Hilbert空間","en":"Question 15268: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1a65f7dca4ddea74fc2fc4c5c33ae827e2ed27d018d4d2db0a041f1b4371f94a","derivation_sha256":"c85f793985219da29d16a4e30603b9be97f4d5c25f5dac4c7a79fed26a730a28"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0019","number":15269,"title":{"zh-Hant":"第 15269 題：實Hilbert空間","en":"Question 15269: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a89918f949f58e709c590b7a1900a23b0ae44ab568e362b28fb096c47bfd1f4e","derivation_sha256":"c9f1acf39ee71095e40f80d11344c4ccb1c43e3c61566f3cd472fcb67d7f686c"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0020","number":15270,"title":{"zh-Hant":"第 15270 題：實Hilbert空間","en":"Question 15270: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"808cf4104394685f4654f18ab2dddf09dd350c163a1f5e451361504745e59776","derivation_sha256":"faf948fa44418cf5c8f6958de1d7c49adf70c41cf0dbdb78cdbf812993de0e54"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0021","number":15271,"title":{"zh-Hant":"第 15271 題：實Hilbert空間","en":"Question 15271: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1f97a2b800fac66c9e99f00bb1dc1fe2795808d7bb51f8852fb3abab4fc85adf","derivation_sha256":"0ac480dbd2cc993393a25675443a66a542697d4ddb342fae2817ed9b2057192f"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0022","number":15272,"title":{"zh-Hant":"第 15272 題：實Hilbert空間","en":"Question 15272: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b4fca2e0e3c2f194aaf9d145e8150f6408684acdd8b40caaa0a7e4431012a92a","derivation_sha256":"73c117e35e0d9fadd053f6755f90d4a303e732cc9459dbfa236c2abb8fa2f85b"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0023","number":15273,"title":{"zh-Hant":"第 15273 題：實Hilbert空間","en":"Question 15273: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3d1a5bb21c062699591fe94ee515f86a340fb5458241a908e8222c8d183d6b9e","derivation_sha256":"ac4dec66812761292284701d30570e23db056a5173cc0a74d88ba3a8bc61b9d0"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0024","number":15274,"title":{"zh-Hant":"第 15274 題：實Hilbert空間","en":"Question 15274: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d2c81c6f8fdf113aeabc48ee4df0fed8f9721f7cbb38fbafa17ec802e64edc8f","derivation_sha256":"a10bac1687a7265a02da922577e4f96ad937d1b38e6a708b7e30bd78b622977e"},{"question_id":"q-20261014-advance-20261030-r02-real-hilbert-space-0025","number":15275,"title":{"zh-Hant":"第 15275 題：實Hilbert空間","en":"Question 15275: Bind Finite-Dimensional Completeness to the Same Inner-Product Space"},"family_id":"qf-mod30-hilbert-named-certificate","batch_id":"batch-20261014-advance-20261030-r02-real-hilbert-space-foundations","mko_ids":["mko-real-hilbert-space"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"715d180b93a1737725664b2051dacfee863ea5e6dea1b1716bee5332bf9d6a65","derivation_sha256":"d7afa0a8ab865aaca4464ab95b555fc99348fd98c62cb84a01795339faddcfbb"}]}