{ localUrl: '../page/451.html', arbitalUrl: 'https://arbital.com/p/451', rawJsonUrl: '../raw/451.json', likeableId: '0', likeableType: 'page', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], pageId: '451', edit: '1', editSummary: '', prevEdit: '0', currentEdit: '1', wasPublished: 'true', type: 'comment', title: '"Had to re-read this twice. ..."', clickbait: '', textLength: '54', alias: '451', externalUrl: '', sortChildrenBy: 'recentFirst', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'AlexeiAndreev', editCreatedAt: '2016-06-10 01:06:01', pageCreatorId: 'AlexeiAndreev', pageCreatedAt: '2016-06-10 01:06:01', seeDomainId: '0', editDomainId: 'AlexeiAndreev', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'true', isApprovedComment: 'true', isResolved: 'true', snapshotText: '', anchorContext: 'However, it becomes more worth it the more 10\\-digits we're splitting\\. You might expect that, when splitting three digit wheels, we'd each get one digit wheel plus a 3\\-message \\(on the third wheel\\)\\. However, we can actually do better than that\\! If you pick a number $a$ between 0 and 30 \\(for a total of 31 different possibilities\\), and I pick a number $b$ between 0 and 30, then the number $31a + b$ can always be stored on 3 digit wheels \\(because it's always less than $31\\cdot 30 + 30 = 960$\\), so if we're splitting three digit wheels, we can actually eek out one "pseudo 31\\-digit" each\\. This still isn't maximally efficient \\(the values from 961 to 999 are wasted\\), but it's a little better\\. And if we split five digit wheels, we each get to use one 316\\-digit \\(as you can verify\\)\\.', anchorText: 'However, it becomes more worth it the more 10\\-digits we're splitting\\. You might expect that, when splitting three digit wheels, we'd each get one digit wheel plus a 3\\-message \\(on the third wheel\\)\\. However, we can actually do better than that\\! If you pick a number $a$ between 0 and 30 \\(for a total of 31 different possibilities\\), and I pick a number $b$ between 0 and 30, then the number $31a + b$ can always be stored on 3 digit wheels \\(because it's always less than $31\\cdot 30 + 30 = 960$\\), so if we're splitting three digit wheels, we can actually eek out one "pseudo 31\\-digit" each\\. This still isn't maximally efficient \\(the values from 961 to 999 are wasted\\), but it's a little better\\. And if we split five digit wheels, we each get to use one 316\\-digit \\(as you can verify\\)\\.', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '414', text: 'Had to re-read this twice. Not sure if I fully got it.', 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: [ 'AlexeiAndreev' ], childIds: [], parentIds: [ 'fractional_digits' ], commentIds: [], questionIds: [], tagIds: [], 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: '12254', pageId: '451', userId: 'AlexeiAndreev', edit: '1', type: 'newEdit', createdAt: '2016-06-10 01:06:01', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '12253', pageId: '451', userId: 'AlexeiAndreev', edit: '1', type: 'newParent', createdAt: '2016-06-10 01:05:46', auxPageId: 'fractional_digits', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'true', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }