{ localUrl: '../page/mathematics_ceiling.html', arbitalUrl: 'https://arbital.com/p/mathematics_ceiling', rawJsonUrl: '../raw/3vc.json', likeableId: '2573', likeableType: 'page', myLikeValue: '0', likeCount: '1', dislikeCount: '0', likeScore: '1', individualLikes: [ 'EricRogstad' ], pageId: 'mathematics_ceiling', edit: '2', editSummary: '', prevEdit: '1', currentEdit: '2', wasPublished: 'true', type: 'wiki', title: 'Ceiling', clickbait: '', textLength: '692', alias: 'mathematics_ceiling', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'NateSoares', editCreatedAt: '2016-05-27 15:27:47', pageCreatorId: 'NateSoares', pageCreatedAt: '2016-05-27 15:27:08', 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: '61', text: 'The ceiling of a [real_number real number] $x,$ denoted $\\lceil x \\rceil$ or sometimes $\\operatorname{ceil}(x),$ is the first [integer] $n \\ge x.$ For example, $\\lceil 3.72 \\rceil = 4, \\lceil 4 \\rceil = 4,$ and $\\lceil -3.72 \\rceil = -3.$ In other words, the ceiling function rounds its input up to the nearest integer.\n\nFor the function that rounds its input down to the nearest integer, see [floor]. 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