In which case, the elements of $${\displaystyle S}$$ can be arranged in subsets known as "equivalence classes", sets whose elements are equivalent to each other up to $${\displaystyle X}$$. { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, {code: 'ad_contentslot_1', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/23202586/cdo_mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [336, 280]] } }, { bidder: 'ix', params: { siteId: '195464', size: [160, 600] }}, Definition and synonyms of up for something from the online English dictionary from Macmillan Education.. 'increment': 1, { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_leftslot_160x600' }}, { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot_flex' }}, Delivered to your inbox! dfpSlots['rightslot'] = googletag.defineSlot('/23202586/cdo_rightslot', [[300, 250]], 'ad_rightslot').defineSizeMapping(mapping_rightslot).setTargeting('sri', '0').setTargeting('vp', 'mid').setTargeting('hp', 'right').addService(googletag.pubads()); {code: 'ad_leftslot', pubstack: { adUnitName: 'cdo_leftslot', adUnitPath: '/23202586/cdo_leftslot' }, mediaTypes: { banner: { sizes: [[120, 600], [160, 600]] } }, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, { bidder: 'ix', params: { siteId: '194852', size: [300, 250] }}, { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot2_flex' }}, {code: 'ad_contentslot_1', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/23202586/cdo_mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [320, 100], [320, 50], [300, 50]] } }, params: { { bidder: 'appnexus', params: { placementId: '11653860' }}, be up to (one) 1. skinny, grandma). storage: { 'All Intensive Purposes' or 'All Intents and Purposes'? Synonyms for up to include able to, capable of, equal to, fit for, ready for, qualified for, suitable for, sufficient for, good enough for and suited to. bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162050', zoneId: '776338', position: 'btf' }}, 'increment': 0.01, { bidder: 'onemobile', params: { dcn: '8a9690ab01717182962182bb50ce0007', pos: 'cdo_topslot_mobile_flex' }}, { bidder: 'appnexus', params: { placementId: '11654174' }}, "authorization": "https://dictionary.cambridge.org/us/auth/info?rid=READER_ID&url=CANONICAL_URL&ref=DOCUMENT_REFERRER&type=ENTRY_TRANSLATE&v1=english&v2=up-to&v3=&v4=english&_=RANDOM", { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot2' }}]}]; "sign-in": "https://dictionary.cambridge.org/us/auth/signin?rid=READER_ID", { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_btmslot' }}]}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_HDX' }}, googletag.pubads().set("page_url", "https://dictionary.cambridge.org/dictionary/english/up-to"); var mapping_topslot_b = googletag.sizeMapping().addSize([746, 0], [[728, 90]]).addSize([0, 0], []).build(); go up to [sth] v expr verbal expression: Phrase with special meaning functioning as verb--for example, "put their heads together," "come to an end." Define up to.