{"schema_version":"ocme-public-explorer-results-v1","locale":"zh-Hant","filters":{"mko":"mko-contraction-mapping-theorem","page":"3"},"total":100,"page":3,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0001","number":26251,"title":{"zh-Hant":"第 26251 題：壓縮映射定理","en":"Question 26251: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"103b7c822cdf35454d5e5bb75897f71fcb092efcdd71eab39aad253371b4ebec","derivation_sha256":"a2d3a33da8388db81c40140c7711938d8cccd1391334eef0270becc689ad6377"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0002","number":26252,"title":{"zh-Hant":"第 26252 題：壓縮映射定理","en":"Question 26252: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f7e795f7fe597a9cb1164d7611c6ceb8fbfc693964ed105d294c514dee10a0ef","derivation_sha256":"880b368ca7d383bdc2f902d49a2b88680a9c0cb2d74734a36063ff25180cd4e6"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0003","number":26253,"title":{"zh-Hant":"第 26253 題：壓縮映射定理","en":"Question 26253: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b8e8eb54908db7ac0093e3e141e5459ccb152874119565d5af6646def2d7c196","derivation_sha256":"5b054bb5bf1b212a947493744e4a4c784dcc7256c0993f4e6e9e2cc6f9c7cee2"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0004","number":26254,"title":{"zh-Hant":"第 26254 題：壓縮映射定理","en":"Question 26254: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"073e2b9fc9ebcb9efe2605debc370766b49b2645883f73a4ec4d71ca4f4a13df","derivation_sha256":"7f0538ff2c6d470d11fbeef6f7891b50eeeee8314e65bcc5801f03fbe4058562"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0005","number":26255,"title":{"zh-Hant":"第 26255 題：壓縮映射定理","en":"Question 26255: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f8b5fcace464833aca5d74a612fee6744bb831d9cb7562bb2f555c73ccc0b6a5","derivation_sha256":"c2f742adf3d80305af8ece925092987c48b85e5d28060da8881feaa1c4107ebf"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0006","number":26256,"title":{"zh-Hant":"第 26256 題：壓縮映射定理","en":"Question 26256: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"af55fb2e5dec68b029d53cbafcee270783aac379feaca142a85bf45791b399cc","derivation_sha256":"da9c97017022b64e1cacffea5914985a20f3fdff372e5197cb7a6bedc18451a8"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0007","number":26257,"title":{"zh-Hant":"第 26257 題：壓縮映射定理","en":"Question 26257: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"512925fbc056fbe5b30cf3d887f652f549ee2b34dd00793eb3bcf6714be2283f","derivation_sha256":"314b588fc69815cd6fc2462c43f2d22682875c5e3bdc1d28b95fb5e4a4c35fed"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0008","number":26258,"title":{"zh-Hant":"第 26258 題：壓縮映射定理","en":"Question 26258: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"cffd5239013b6d6534e8b1da1db3890506dd466638bbc9b451bcd3faef95ee9b","derivation_sha256":"85f85e507e4ca4c0a3c348633bea5e7181ce69adc2c99191fd176265e6fa714a"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0009","number":26259,"title":{"zh-Hant":"第 26259 題：壓縮映射定理","en":"Question 26259: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"31ed0f2d0bb24db4951e4045284e4f364c2465df1e3330674ac9f36b7469d4bb","derivation_sha256":"be4766984618c3b3c1cf8895aa03f2d1049f0510c5ba3ed8147e6cd007031620"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0010","number":26260,"title":{"zh-Hant":"第 26260 題：壓縮映射定理","en":"Question 26260: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1c1b75e3615d48eef44a768741b203bdb20ee326cf529643db041b5acb363024","derivation_sha256":"d567a17fe9d849f2ddb891f22343bec97b7f887281ff0a4a85db71b8388ec5cc"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0011","number":26261,"title":{"zh-Hant":"第 26261 題：壓縮映射定理","en":"Question 26261: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"adec6a4b891d51b3154a24f4ce57378f3be2bb53387e000f189cf2a864b36997","derivation_sha256":"fe80f6f163368ad2e2c68231c32aafc8cbaa0b69729d8436ae5754f9b66eaf49"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0012","number":26262,"title":{"zh-Hant":"第 26262 題：壓縮映射定理","en":"Question 26262: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"105e1aa5d88c3e1a89d4da59f917a583ee0a27c89f26dc908b133344c543452f","derivation_sha256":"89b58979c708e6c0d74e35efd6dcf5cbbbeb4603aae4ebc3e172693fea1ec86b"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0013","number":26263,"title":{"zh-Hant":"第 26263 題：壓縮映射定理","en":"Question 26263: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a578953689e2a7db67ed5792ec31943368ba7fe7a722e9b44c9fde4a60806f10","derivation_sha256":"ec709d173da52b92f93ce1927bed1a388e9e3e0d5a52496e17cc9b68b6aa4706"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0014","number":26264,"title":{"zh-Hant":"第 26264 題：壓縮映射定理","en":"Question 26264: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ccad037879ca9c34d6125b07360665746d4d13d04b5b4a0b07c2063c594c4e1c","derivation_sha256":"d4c5a7173779c88bf401e101e03dac4ca7712ff0e771575332bd112e797cd030"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0015","number":26265,"title":{"zh-Hant":"第 26265 題：壓縮映射定理","en":"Question 26265: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"27e89a409ffae86d80ea642b6331ae7704c3eafd40c2a513147f4a7abe280b80","derivation_sha256":"fc2f7889413c9f101a4bef29d42721947acb7c9e8a91fbe0ef73cd1fa0c73c0c"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0016","number":26266,"title":{"zh-Hant":"第 26266 題：壓縮映射定理","en":"Question 26266: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0e202d51a5f6535ad30fd3a8c1da54747f82b162182b1ccadf634b3287a065df","derivation_sha256":"0452d718f78dfe7081034111127665a2e61d8ee1fc3e693badacb0779ff6fbc6"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0017","number":26267,"title":{"zh-Hant":"第 26267 題：壓縮映射定理","en":"Question 26267: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5bc799dcd80d2e3ad3376485cb2a7a4a6dc7466bcecf4fc341dbd1bb03f7bbef","derivation_sha256":"23a9a139be3c4931c1e12f60a942a3d57d76a56238b1fb2100156ee1a3b26dd7"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0018","number":26268,"title":{"zh-Hant":"第 26268 題：壓縮映射定理","en":"Question 26268: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6107e51e4b57a0d78937c288fe11c18d16611ed204db0aa71240c67084f517d7","derivation_sha256":"0b343d1f96a5509b8cad0d0a4e431a41956c4563850c69755f9b710b80ada1a0"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0019","number":26269,"title":{"zh-Hant":"第 26269 題：壓縮映射定理","en":"Question 26269: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0474abc9a10c66a2cfd6de0929b4e806ec67596ef263cf1bc56d34a82d088e43","derivation_sha256":"dee80503db26447bb26a571a1b5cea0ac59b9be5a5c522edf1538a96f23f6004"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0020","number":26270,"title":{"zh-Hant":"第 26270 題：壓縮映射定理","en":"Question 26270: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e6e005b689ad29ac0a2e56d903adc49856bbacb08b30840fcddcbe1d38aac404","derivation_sha256":"98a433b64ce4416b615fa53921c4d8fa221ee994088c294e0a37f5aaa65b8d18"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0021","number":26271,"title":{"zh-Hant":"第 26271 題：壓縮映射定理","en":"Question 26271: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"65feaf42e10f44c2c4cf6127624e28b7fbc919ded3bdc7afaa9b9270d544449d","derivation_sha256":"d6a11adf3d28b3ceacf65addd09602c9112c33de7f249bb3174dd07763680226"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0022","number":26272,"title":{"zh-Hant":"第 26272 題：壓縮映射定理","en":"Question 26272: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4ba8b676dc483c10131aeceeb019fc730fd0d03e60d5d4124c1e83fca93ae86f","derivation_sha256":"e2488e4ff1be1cc9090097d16f30cf6f05095bd0012e243ace5e9f5c32d4a24c"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0023","number":26273,"title":{"zh-Hant":"第 26273 題：壓縮映射定理","en":"Question 26273: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f2ce259f51cd73c9eb021872edeb38ad3dafa17f5d4f5423640d73de6d1ba5c3","derivation_sha256":"7ae60f888e6342f9d9ba0a392c5608e8d8f9662d7eb21e6185f5b654be0c60cd"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0024","number":26274,"title":{"zh-Hant":"第 26274 題：壓縮映射定理","en":"Question 26274: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e36a56274f441737deec02f0cf3adc5f739fc37749b9722ca763bb598d34dfaa","derivation_sha256":"ffc9c9c459a66e07d886e4afc245e1c1051e7103c0668ac8db4838351cba6879"},{"question_id":"q-20261015-advance-20261116-r01-contraction-mapping-theorem-0025","number":26275,"title":{"zh-Hant":"第 26275 題：壓縮映射定理","en":"Question 26275: A Global Contraction Needs Every Metric and Mapping Qualification"},"family_id":"qf-mod47-contract-metric-qualification","batch_id":"batch-20261015-advance-20261116-r01-contraction-mapping-theorem-foundations","mko_ids":["mko-contraction-mapping-theorem"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"27bd9d1a4f2a959e919a035883053c199e9ae1a2b6c86addb48f0d39ac38bd0f","derivation_sha256":"9c68a4654ef8bae585e72c0ba121da99c9000e67f6bd145793b1afef67978d52"}]}