{"loaderData":{"0":null,"0-5":[{"type":"wordpress/fetchEditorialNotes/rejected","meta":{"arg":{"word":"closed-interval"},"requestId":"gFkmo9IPh2BHUFooLRBdE","rejectedWithValue":false,"requestStatus":"rejected","aborted":false,"condition":false},"error":{"name":"SyntaxError","message":"Unexpected token < in JSON at position 0","stack":"SyntaxError: Unexpected token < in JSON at position 0\n at JSON.parse ()\n at Response.json (node:internal/deps/undici/undici:1817:21)\n at process.processTicksAndRejections (node:internal/process/task_queues:95:5)\n at async /app/server.js:389:13314"}},{"type":"fetchPageData/fulfilled","payload":{"_id":"home-legacy","story":{"created_at":"2023-07-04T15:14:18.526Z","published_at":"2024-05-02T04:05:00.000Z","content":{"heroModule":[{"cta":[{"url":"https://www.dictionary.com/e/their-vs-there-vs-theyre/","text":"Read more.","target":"_self"}],"article":{"name":"\"Their\" vs. \"There\" vs. \"They're\": What's the Difference?","content":{"topicLabel":"Commonly confused"}},"imageUrl":"https://assets.dictionary.com/home/featured/hero/their-vs-there-vs-theyre-whats-the-difference-20241120.png","description":"Unsure about when to use \"their,\" \"there,\" or \"they're\"? Clear up the confusion with these handy tips.","subjectLabel":"Today"}],"quizModule":[{"cta":[{"url":"https://www.dictionary.com/learn/quizzes","text":"Go to all quizzes","target":"_self"}],"image":"https://assets.dictionary.com/home/daily-quiz.png","articleLink":[{"url":"https://www.dictionary.com/games/quizzes/parenting-buzzwords-quiz","text":"Take the full quiz.","target":"_self"}],"subjectLabel":"Quiz","wordpressSlug":"parenting-buzzwords-quiz","questionNumber":"3"}],"xotdModule":[],"gamesModule":[{"gamesList":[{"name":"Daily Crossword","created_at":"2023-07-04T15:24:23.318Z","published_at":"2024-02-07T05:05:00.000Z","id":336141299,"content":{"link":[{"url":"https://www.dictionary.com/e/crossword/","text":"Daily Crossword","target":"_self"}],"image":{"id":10215805,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/daily-crossword.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false},"subscriberLink":""},"slug":"daily-crossword","full_slug":"games/daily-crossword","sort_by_date":null,"position":0,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"013f4974-3fad-4e2b-8aa2-c573ef31f263","first_published_at":"2023-07-04T15:32:55.972Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true},{"name":"Hurdle","created_at":"2023-07-07T20:42:46.109Z","published_at":"2024-02-06T05:05:00.000Z","id":337835996,"content":{"link":[{"url":"https://play.dictionary.com/games/todays-hurdle","text":"Hurdle","target":"_self"}],"image":{"id":10215808,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/hurdle.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false},"subscriberLink":"https://www.dictionary.com/games/hurdle"},"slug":"hurdle","full_slug":"games/hurdle","sort_by_date":null,"position":-30,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"3342f4e9-9403-4609-a956-7cd5eab50dc9","first_published_at":"2023-07-10T17:24:55.648Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true},{"name":"Word Puzzle","created_at":"2023-07-04T15:31:56.964Z","published_at":"2023-07-10T17:24:59.422Z","id":336150578,"content":{"link":[{"url":"https://www.dictionary.com/games/word-puzzle","text":"Word Puzzle","target":"_self"}],"image":{"id":10215807,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/word-puzzle.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false}},"slug":"word-puzzle","full_slug":"games/word-puzzle","sort_by_date":null,"position":-20,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"71792320-7229-4ab6-8558-b3af16f5e557","first_published_at":"2023-07-04T15:32:43.933Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true},{"name":"Word Wipe","created_at":"2023-07-04T15:28:02.623Z","published_at":"2024-02-06T05:05:00.000Z","id":336141320,"content":{"link":[{"url":"https://play.dictionary.com/games/word-wipe","text":"Word Wipe","target":"_self"}],"image":{"id":10215806,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/word-wipe.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false},"subscriberLink":"https://www.dictionary.com/games/word-wipe"},"slug":"word-wipe","full_slug":"games/word-wipe","sort_by_date":null,"position":-10,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"3789fc63-90b3-4407-99f4-fa263d1a3e39","first_published_at":"2023-07-04T15:32:50.947Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true}],"description":"Calling all cruciverbalists! Sharpen your mind with crosswords and word games, or take a brain break with your favorite classic games.","subjectLabel":"Games"}],"commonModule":[],"ribbonModule":[],"trendingModule":[{"articles":[{"content":{"link":[{"url":"https://www.dictionary.com/e/onto-vs-on-to/","text":"\"Onto\" vs. \"On To\": What's the Difference?"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/that-vs-which/","text":"\"That\" vs. \"Which\": When Do You Use Each?"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/scrabble/","text":"What Was Scrabble's Original Name?"}]}},{"content":{"link":[{"url":"https://www.thesaurus.com/e/ways-to-say/list-of-vegetables/","text":"This List of Vegetables Is No Small Potatoes"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/imbed-vs-embed/","text":"\"Imbed\" vs. \"Embed\": What's the Difference?"}]}}],"subjectLabel":"Trending"}],"newsletterModule":[{"title":"Salutations, logophile!","imageUrl":"https://assets.dictionary.com/home/newsletter.png","description":"Sign up to get everything a word lover could want: word origins, fun facts, and the latest language trends.","subjectLabel":"Newsletter"}],"largeRibbonModule":[],"recirculationModule":[{"articles":[{"content":{"link":[{"url":"https://www.dictionary.com/e/context-clues/","text":"What Are Context Clues?"}],"topicLabel":"🔎"}},{"content":{"link":[{"url":"https://www.dictionary.com/e/meteor-vs-asteroid-vs-comet/","text":"Meteor vs. Asteroid vs. Comet: What's the Difference?"}],"topicLabel":"Space ☄️"}},{"content":{"link":[{"url":"https://www.dictionary.com/e/octopuses-or-octopi/","text":"Should You Say \"Octopuses\" Or \"Octopi\"?"}],"topicLabel":"Plurals"}}],"subjectLabel":"Featured"}]},"slug":"shared-homepage","full_slug":"homepages/shared-homepage","sort_by_date":null,"position":0,"tag_list":[],"is_startpage":false,"parent_id":336140983,"meta_data":null,"group_id":"c7ed375b-9129-448c-aeec-9f52e3fef270","first_published_at":"2023-07-04T18:23:43.845Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null}},"meta":{"requestId":"-n2ZROlahUXIsviMKt1WB","requestStatus":"fulfilled"}},{"type":"fetchWordsNearby/fulfilled","payload":{"data":{"before":[{"slug":"closed-end","entry":"closed-end"},{"slug":"closed-end-investment-company","entry":"closed-end investment company"},{"slug":"closed-fracture","entry":"closed fracture"},{"slug":"closed-game","entry":"closed game"},{"slug":"closed-gentian","entry":"closed gentian"}],"after":[{"slug":"closed-loop","entry":"closed loop"},{"slug":"closed-minded","entry":"closed-minded"},{"slug":"closedown","entry":"closedown"},{"slug":"closed-plan","entry":"closed plan"},{"slug":"closed-position","entry":"closed position"}]}},"meta":{"arg":{"word":"closed-interval"},"requestId":"rPHEO264j86eMjAQ4QpK7","requestStatus":"fulfilled"}},{"type":"luna/fetchExampleSentences/fulfilled","payload":{"data":{"nlp":[{"id":"3608677-23","sentence":"A closed interval and an open interval make a good case study for how we can think about compactness.","source":{"source_name":"Scientific American","sourceName":"Scientific American","publicationDate":"2017-05-27T04:00:00.000Z","publication_date":"2017-05-27T04:00:00.000Z","url":"https://blogs.scientificamerican.com/roots-of-unity/what-does-compactness-really-mean/","abbreviation":"nlp","author":"Evelyn Lamb","title":"What Does Compactness Really Mean?"},"offsets":[2,17]}],"tdb":[],"gbg":[]}},"meta":{"arg":{"word":"closed-interval"},"requestId":"TZaMcoESVYVKrfjQFg9bw","requestStatus":"fulfilled"}},{"type":"fetchDictionaryResults/fulfilled","payload":{"slugs":[{"entries":[{"__typename":"CollinsEntry","headword":{"displayForm":"closed interval","slug":"closed-interval"},"homonym":null,"note":null,"origin":null,"partOfSpeechGroups":[{"definitions":[{"definitionSetChunks":"[{\"text\": \"maths\", \"type\": \"lb_subject_field\"}, {\"type\": \"defgrp\", \"children\": [{\"text\": \"an interval on the real line including its end points, as [0, 1], the set of reals between and including 0 and 1\", \"type\": \"text\"}]}]","examples":[],"idiom":null,"ordinal":1,"sense":null,"subdefinitions":[]}],"ordinal":1,"partOfSpeech":"noun"}],"pronunciations":[],"subEntry":[]},{"__typename":"ScienceEntry","headword":{"displayForm":"closed interval","slug":"closed-interval"},"note":null,"partOfSpeechGroups":[{"definitions":[{"definitionSetChunks":"[{\"type\": \"text\", \"text\": \"A set of numbers consisting of all the numbers between a pair of given numbers and including the endpoints.\"}]","label":null,"ordinal":1,"subdefinitions":[]}],"ordinal":1,"inflections":[],"partOfSpeech":""}],"pronunciation":null}],"url":"closed-interval"}]},"meta":{"arg":{"slug":"closed-interval"},"requestId":"2i6OkCX4w6d0lKzKSFuIu","requestStatus":"fulfilled"}},{"type":"fetchResultsData/fulfilled","payload":{"data":{"url":"closed-interval","displayForm":"closed interval","canonicalSlug":"closed-interval","content":[{"source":"collins","entries":[{"id":"ac32f3a92.6bfb.1014.b87b.c2803370a23a.1","type":"normal","entry":"closed interval","entrySyllabified":null,"entryVariants":"","homograph":null,"pronunciation":{"audio":null,"spell":null,"ipa":""},"predefinitionContent":"","posBlocks":[{"pos":"noun","posSupplementaryInfo":"","definitions":[{"order":1,"type":"simple","predefinitionContent":"maths","definition":"an interval on the real line including its end points, as [0, 1], the set of reals between and including 0 and 1","postdefinitionContent":""}]}],"origin":"","supplementaryNotes":[],"variantForms":[],"referenceData":[],"relatedForms":[],"derivedForms":[]}]},{"source":"science","entries":[{"id":"C0045300","type":"V","entry":"closed interval","homograph":null,"pronunciation":null,"predefinitionContent":"","posBlocks":[{"pos":"","pronunciation":"","posSupplementaryInfo":"","definitionSets":[{"id":null,"predefinitionContent":"","definition":"A set of numbers consisting of all the numbers between a pair of given numbers and including the endpoints.","postdefinitionContent":"","subdefinitions":[],"dsSupplementaryInfo":[]}]}],"relatedForms":[],"supplementaryNotes":[],"media":[]}]}],"nearbyWordOrdinal":31354,"index-rank-01":["closed interval","closed interval"],"index-rank-02":[],"index-rank-03":[],"index-rank-04":[],"index-rank-05":[],"index-rank-06":[],"index-rank-07":[],"index-rank-08":[],"index-rank-09":[],"index-rank-10":[],"index-rank-11":[],"index-rank-12":[],"index-rank-13":[],"index-rank-14":[],"index-rank-15":[],"tunaSlug":null,"isFeaturedMetaSlug":false}},"meta":{"arg":{"word":"closed-interval"},"requestId":"dPYgpM2STuGS8pMD9t3jV","requestStatus":"fulfilled"}},{"type":"fetchSpellSuggestions/fulfilled","payload":{"data":{"luna":["closed interval","class interval","compound interval","melodic interval","half-open interval","closed-minded","subinterval","contour interval","close-fisted","close-in"],"tuna":["closed-minded","close-fisted","close-minded","closed in","closed-end fund","closefisted","in the interval","interval","at short intervals","close-fistedness"],"lunaWithSlug":[{"displayForm":"closed interval","slug":"closed-interval"},{"displayForm":"class interval","slug":"class-interval"},{"displayForm":"compound interval","slug":"compound-interval"},{"displayForm":"melodic interval","slug":"melodic-interval"},{"displayForm":"half-open interval","slug":"half-open-interval"},{"displayForm":"closed-minded","slug":"closed-minded"},{"displayForm":"subinterval","slug":"subinterval"},{"displayForm":"contour interval","slug":"contour-interval"},{"displayForm":"close-fisted","slug":"close-fisted"},{"displayForm":"close-in","slug":"close-in"}],"tunaWithSlug":[{"displayForm":"closed-minded","slug":"closed-minded"},{"displayForm":"close-fisted","slug":"close-fisted"},{"displayForm":"close-minded","slug":"close-minded"},{"displayForm":"closed in","slug":"closed-in"},{"displayForm":"closed-end fund","slug":"closed-end-fund"},{"displayForm":"closefisted","slug":"closefisted"},{"displayForm":"in the interval","slug":"in-the-interval"},{"displayForm":"interval","slug":"interval"},{"displayForm":"at short intervals","slug":"at-short-intervals"},{"displayForm":"close-fistedness","slug":"close-fistedness"}]}},"meta":{"arg":{"word":"closed-interval"},"requestId":"yTSYjt6J5_Yp7dB3cxO52","requestStatus":"fulfilled"}}]},"actionData":null,"errors":null}

closed interval

noun

Example Sentences