{ localUrl: '../page/function_arity.html', arbitalUrl: 'https://arbital.com/p/function_arity', rawJsonUrl: '../raw/3h8.json', likeableId: '2533', likeableType: 'page', myLikeValue: '0', likeCount: '2', dislikeCount: '0', likeScore: '2', individualLikes: [ 'EricBruylant', 'EricRogstad' ], pageId: 'function_arity', edit: '5', editSummary: '', prevEdit: '4', currentEdit: '5', wasPublished: 'true', type: 'wiki', title: 'Arity (of a function)', clickbait: '', textLength: '784', alias: 'function_arity', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'NateSoares', editCreatedAt: '2016-05-13 23:37:27', pageCreatorId: 'NateSoares', pageCreatedAt: '2016-05-09 07:40:17', 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: '41', text: 'The arity of a [3jy function] is the number of parameters that it takes. For example, the function $f(a, b, c, d) = ac - bd$ is a function with arity 4, and $+$ is a function with arity 2; 2-arity functions are known as [3kb binary functions].\n\nA function is said to take multiple parameters when its [3js domain] is the product of multiple sets. For example, consider the function `is_older_than` that takes (as input) a person and an age and returns `yes` if the person is older than that age, and `no` otherwise. The domain of `is_older_than` is the set of all pairs of people and ages, which we might write as $(\\mathrm{People} \\times \\mathrm{Ages})$. Because this set is a product of two sets, we say that `is_older_than` is a function of two parameters, and that it has arity 2.', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '1', maintainerCount: '1', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: 'null', muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', reason: 'You don't have domain permission to delete this page' }, comment: { has: 'false', reason: 'You can't comment in this domain because you are not a member' }, 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