{"schema_version":"ocme-public-explorer-results-v1","locale":"zh-Hant","filters":{"mko":"mko-finite-product-topology"},"total":100,"page":1,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0051","number":26701,"title":{"zh-Hant":"第 26701 題：有限乘積拓撲","en":"Question 26701: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"56f4d98c8c41e4d03dc3a8b31d1829375d7b08c51bcad2ba58d13a38af99b498","derivation_sha256":"dc01ea6f8b30c406d92d4bb961dd69e156daafe73e54967435a0b7f11f0b5b9e"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0052","number":26702,"title":{"zh-Hant":"第 26702 題：有限乘積拓撲","en":"Question 26702: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"de9863c9968e05fd5fbc9a3b6f4ce4da9ef5c7d95a4fd90f0d1f56e5166b79a1","derivation_sha256":"e1c514a4afa6d29b5a512f5ea2c229ce7c1ebe156875fc04e9bb9cedd9eb176b"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0053","number":26703,"title":{"zh-Hant":"第 26703 題：有限乘積拓撲","en":"Question 26703: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e7bdd095fd0edef11f42e6559974ddc816e2d4a432079e110c2e3588382165c6","derivation_sha256":"bf4eb8fb9dc578cc82bd4a7f58421c29f0fcf9fb6995f719aa37fb80ea4b75e5"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0054","number":26704,"title":{"zh-Hant":"第 26704 題：有限乘積拓撲","en":"Question 26704: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"52cdf7d64a50f8346bd0c310ac5a36a3d3e81a8501fa2b0e6309d0bf269e96f7","derivation_sha256":"83b9d3796820dec0a84b38ff9a9473904c56de93563d909283019b1dcf001cdf"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0055","number":26705,"title":{"zh-Hant":"第 26705 題：有限乘積拓撲","en":"Question 26705: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"12c6e33bb75683d95822dce65d94ae0f24b64a759640d060a5a981b46c245fdc","derivation_sha256":"4da063099d18c85feeb735a4a5dd7ceb1a7953af0b59996a48db59e1d40afc56"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0056","number":26706,"title":{"zh-Hant":"第 26706 題：有限乘積拓撲","en":"Question 26706: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c2765bc997616191221bedacf55a344e3ac2ababc37e5c443e51408f7143fd99","derivation_sha256":"70117afb3f2c0b3da439f280daf3d2e85a69f3859a38e2d0e3abd5983a294a1f"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0057","number":26707,"title":{"zh-Hant":"第 26707 題：有限乘積拓撲","en":"Question 26707: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bdbf4de2abad1d2c31e17a67b82035d4281a73470b234321b355b6dcc308168b","derivation_sha256":"6e1ddc773fd27817b80e7b40ed4c27417e29f79242961ff7034955a1e6f296d4"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0058","number":26708,"title":{"zh-Hant":"第 26708 題：有限乘積拓撲","en":"Question 26708: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0eb0fce32cb127f459a89a2ed94b0f243bc8b55151aac8b798de17fe6962d0df","derivation_sha256":"7beafb8ef8b9db5c0cc70b1978bf7ed888c44de8db680ca5a47a6780c4efe94e"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0059","number":26709,"title":{"zh-Hant":"第 26709 題：有限乘積拓撲","en":"Question 26709: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"89d37ebb833da6dc81b74670f0156d09a1837d291e95304f3adedc5488843fe8","derivation_sha256":"de48028a84d1217c322674112105fadf565e3e15bb4d499ac709a1de8f9b9373"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0060","number":26710,"title":{"zh-Hant":"第 26710 題：有限乘積拓撲","en":"Question 26710: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1bfdf2ed6be4f25a94cdd6e672816fc576c4f74fa79e67848953fef7fb9847f1","derivation_sha256":"8f7ee3caa4089dbb5b21f5bcbfb9292360f10ff5bc1d4b0bd168d24fe832564c"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0061","number":26711,"title":{"zh-Hant":"第 26711 題：有限乘積拓撲","en":"Question 26711: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e7ca4312635ecf8b34305e03b77de8588ccd5b148aaa3035a56a02e6aca98cab","derivation_sha256":"97bb08808f0d9a00fae25f31d393a92553d4411c20186fa5b1237035bbff1516"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0062","number":26712,"title":{"zh-Hant":"第 26712 題：有限乘積拓撲","en":"Question 26712: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"40cdbc36ac52133d8fa208f039c6d2233254896c8a7f7777f75513ec73a293de","derivation_sha256":"893eccbdb75b24833b5741659003557a61716051a2f2c97e461f636b274860dd"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0063","number":26713,"title":{"zh-Hant":"第 26713 題：有限乘積拓撲","en":"Question 26713: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0fe3d10659d1716ddea4eb4225e5dc3d060ccf5695d5d03fe9820787d076c2b4","derivation_sha256":"e82b868a5c8b9d78842a03226f3836bf550a730dc7c47db144a2866e8027c4dc"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0064","number":26714,"title":{"zh-Hant":"第 26714 題：有限乘積拓撲","en":"Question 26714: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d95bda779f4c837b50c824eefc82064005a09d97aa8858fa6d6183fbdcdc3754","derivation_sha256":"0ced7127cc764cc3cf72ee126bb64c91ea44093ee34c031737d55dd2399c1d36"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0065","number":26715,"title":{"zh-Hant":"第 26715 題：有限乘積拓撲","en":"Question 26715: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5e2a323214bf2c836b5d2a72aef9074cb7561db925d7726f12ef0186a785201c","derivation_sha256":"98b937ece7ee930a8558267bcc0cc464d3bc6d11f783056578be79a9817dcb0a"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0066","number":26716,"title":{"zh-Hant":"第 26716 題：有限乘積拓撲","en":"Question 26716: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6f15377ba2f0dd774f6fa3f233aee7433efedb1208d7aa6a5efb48539263016d","derivation_sha256":"afd4f654b06d0fe8d0ce0d923d48a909fbf32293686a59a9f0c9b29f2fe81ae5"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0067","number":26717,"title":{"zh-Hant":"第 26717 題：有限乘積拓撲","en":"Question 26717: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"dda581dd73cc20641f815766425442bf881465590d317384fcc823b18d02b875","derivation_sha256":"b60a728a3d3e27d75bbff356114c4b7e43d6b183c040f3187d30e8f3950da399"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0068","number":26718,"title":{"zh-Hant":"第 26718 題：有限乘積拓撲","en":"Question 26718: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9ece73dcd69ef4fee04f3d99d2c1f30afd4f0a4d35080c50dde5fefb9bb9253e","derivation_sha256":"73b0e6fe78905dc64f4cbac1ac8c4ace2775f4178b93d98a33fc40f31169735b"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0069","number":26719,"title":{"zh-Hant":"第 26719 題：有限乘積拓撲","en":"Question 26719: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"04634ff3a41f3e1726e5d988e1d55564e580a3692806bd845ee75fb26c79a39e","derivation_sha256":"8098b2eb5376a050fe8e43ddc80b0a0c91f7ac4d7377d77e005af043e431776b"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0070","number":26720,"title":{"zh-Hant":"第 26720 題：有限乘積拓撲","en":"Question 26720: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"b60da6728c1e2b2e382e79c3c3db499054d6b94948c28dea47dea3befa8d59a7","derivation_sha256":"ef47ba1b0a3c800b45a74a4cd81f6cf775236bf70b4b3e07dde483ef1a7052fd"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0071","number":26721,"title":{"zh-Hant":"第 26721 題：有限乘積拓撲","en":"Question 26721: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0cfd3a0e5c77bc6c52219234288b76bb9e0de91002c2c0fa77e45ff5c49eaa81","derivation_sha256":"75834ab7fb65ab2f6377273f3a4d28da8718606e82716fb5b25bb786d3b03f68"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0072","number":26722,"title":{"zh-Hant":"第 26722 題：有限乘積拓撲","en":"Question 26722: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3b74e4d5bc8730073c77e4c976010c39f389ebcaa8d674e1deebe933547913bb","derivation_sha256":"c093cae0153048b249c03aa5900c6e63038283eccb563cd4dd9ab85d7bb854ca"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0073","number":26723,"title":{"zh-Hant":"第 26723 題：有限乘積拓撲","en":"Question 26723: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e743c53b4d4d74d3e644a5eef6b8096f8445575f498c6a99ae2c2c5f82b2b01a","derivation_sha256":"36382dd9cb10e3c4871163b3841a0c74c46e400d318274623b069182e7a0a13a"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0074","number":26724,"title":{"zh-Hant":"第 26724 題：有限乘積拓撲","en":"Question 26724: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"634a5ea36233d5080d00600f76344acff05f4fcbe6dde4baea91a21e9244530d","derivation_sha256":"21ac5c935be6460fd6e950b55be29f7f89209564ab8efcbbe4c688b2fb23107d"},{"question_id":"q-20261015-advance-20261117-r04-finite-product-topology-0075","number":26725,"title":{"zh-Hant":"第 26725 題：有限乘積拓撲","en":"Question 26725: Continuity into a Product Is Equivalent to Continuity of Both Coordinates"},"family_id":"qf-mod48-product-coordinate-criterion","batch_id":"batch-20261015-advance-20261117-r04-finite-product-topology-foundations","mko_ids":["mko-finite-product-topology"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5ff263fcbb194fa683a61f04fe74865901323e209d42cf01408a25833979f952","derivation_sha256":"5a3e985c6176ea7c84f6edb93d10f53babb2f2c9543c6cad2082445f004b4288"}]}