{ localUrl: '../page/cartesian_product.html', arbitalUrl: 'https://arbital.com/p/cartesian_product', rawJsonUrl: '../raw/3xb.json', likeableId: '2578', likeableType: 'page', myLikeValue: '0', likeCount: '2', dislikeCount: '0', likeScore: '2', individualLikes: [ 'KevinClancy', 'EricRogstad' ], pageId: 'cartesian_product', edit: '2', editSummary: '', prevEdit: '1', currentEdit: '2', wasPublished: 'true', type: 'wiki', title: 'Cartesian product', clickbait: '', textLength: '800', alias: 'cartesian_product', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'NateSoares', editCreatedAt: '2016-05-29 23:19:35', pageCreatorId: 'NateSoares', pageCreatedAt: '2016-05-29 23:12:53', seeDomainId: '0', editDomainId: 'AlexeiAndreev', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'false', isApprovedComment: 'true', isResolved: 'false', snapshotText: '', anchorContext: '', anchorText: '', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '58', text: 'The Cartesian product of two sets $A$ and $B,$ denoted $A \\times B,$ is the set of all [ordered_pair ordered pairs] $(a, b)$ such that $a \\in A$ and $b \\in B.$ For example, if $\\mathbb B \\times \\mathbb N$ is the set of all pairs of a [boolean] with a [natural_number natural number], and it contains elements like (true, 0), (false, 17), (true, 17), (true, 100), and (false, 101).\n\nCartesian product are often referred to as just "products."\n\nCartesian products can be constructed from more than two sets, for example, $\\mathbb B^3 = \\mathbb B \\times \\mathbb B \\times \\mathbb B$ is the set of all [boolean] [tuple 3-tuples]. 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