{
  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: '27',
  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'
    },
    proposeComment: {
      has: 'true',
      reason: ''
    }
  },
  summaries: {},
  creatorIds: [
    'NateSoares'
  ],
  childIds: [],
  parentIds: [
    'function'
  ],
  commentIds: [],
  questionIds: [],
  tagIds: [
    'needs_clickbait_meta_tag',
    'definition_meta_tag'
  ],
  relatedIds: [],
  markIds: [],
  explanations: [],
  learnMore: [],
  requirements: [],
  subjects: [],
  lenses: [],
  lensParentId: '',
  pathPages: [],
  learnMoreTaughtMap: {},
  learnMoreCoveredMap: {},
  learnMoreRequiredMap: {},
  editHistory: {},
  domainSubmissions: {},
  answers: [],
  answerCount: '0',
  commentCount: '0',
  newCommentCount: '0',
  linkedMarkCount: '0',
  changeLogs: [
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '17152',
      pageId: 'function_arity',
      userId: 'EricBruylant',
      edit: '0',
      type: 'newTag',
      createdAt: '2016-07-19 02:21:07',
      auxPageId: 'needs_clickbait_meta_tag',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '10259',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '5',
      type: 'newEdit',
      createdAt: '2016-05-13 23:37:27',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '10256',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '4',
      type: 'newEdit',
      createdAt: '2016-05-13 23:31:23',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '10253',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '0',
      type: 'deleteParent',
      createdAt: '2016-05-13 23:29:58',
      auxPageId: 'math',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '10251',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '3',
      type: 'newParent',
      createdAt: '2016-05-13 23:29:57',
      auxPageId: 'function',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '10159',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '3',
      type: 'newEdit',
      createdAt: '2016-05-12 23:28:27',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '10158',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '2',
      type: 'newEdit',
      createdAt: '2016-05-12 23:28:09',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '9933',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '1',
      type: 'newTag',
      createdAt: '2016-05-10 23:27:00',
      auxPageId: 'definition_meta_tag',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '9729',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '1',
      type: 'newEdit',
      createdAt: '2016-05-09 07:40:17',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '9727',
      pageId: 'function_arity',
      userId: 'NateSoares',
      edit: '0',
      type: 'newParent',
      createdAt: '2016-05-09 07:40:12',
      auxPageId: 'math',
      oldSettingsValue: '',
      newSettingsValue: ''
    }
  ],
  feedSubmissions: [],
  searchStrings: {},
  hasChildren: 'false',
  hasParents: 'true',
  redAliases: {},
  improvementTagIds: [],
  nonMetaTagIds: [],
  todos: [],
  slowDownMap: 'null',
  speedUpMap: 'null',
  arcPageIds: 'null',
  contentRequests: {}
}