{"loaderData":{"0":null,"0-5":[{"type":"wordpress/fetchEditorialNotes/rejected","meta":{"arg":{"word":"linear-independence"},"requestId":"ZJpQypGScXrjeEyzAk3Pc","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/haunting-hooks-2024-winners/","text":"Read more.","target":"_self"}],"article":{"name":"Haunting Hooks Scary Monster Edition 2024 Winners","content":{"topicLabel":"Contests"}},"imageUrl":"https://assets.dictionary.com/home/featured/hero/haunting-hooks-scary-monster-edition-2024-winners-20241031.jpg","description":"The monsters have been summoned and winners have emerged in Dictionary.com's fourth annual spooky writing contest.","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/quiz-yourself-on-the-oxford-comma","text":"Take the full quiz.","target":"_self"}],"subjectLabel":"Quiz","wordpressSlug":"quiz-yourself-on-the-oxford-comma","questionNumber":"2"}],"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.thesaurus.com/e/grammar/good-vs-well/","text":"Good vs. Well: The Grammatical Difference"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/jack-o-lantern-name/","text":"Who Is \"Jack\" in the Term \"Jack-o'-lantern\"?"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/achoo-god-bless-you-sneeze/","text":"Where Did the Word \"Achoo\" Come From? Why Do We Say \"Bless You\"?"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/broth-vs-stock/","text":"\"Broth\" vs. \"Stock\": What the Difference Boils Down To"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/invaluable-vs-valuable/","text":"Invaluable vs. Valuable: Do They Mean the Same Thing?"}]}}],"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/the-evolution-of-skyscrapers/","text":"The Evolution of Skyscrapers"}],"topicLabel":"Architecture"}},{"content":{"link":[{"url":"https://www.dictionary.com/e/port-vs-starboard/","text":"Port and Starboard: How to Remember the Difference"}],"topicLabel":"⛵⛵⛵"}},{"content":{"link":[{"url":"https://www.dictionary.com/e/cacao-vs-cocoa/","text":"Cacao vs. Cocoa: What's the Difference?"}],"topicLabel":"Food and drink 🍫"}}],"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":"v4RhPPFLI4NU-0-x3rlPd","requestStatus":"fulfilled"}},{"type":"fetchWordsNearby/fulfilled","payload":{"data":{"before":[{"slug":"linear-dependence","entry":"linear dependence"},{"slug":"linear-differential-equation","entry":"linear differential equation"},{"slug":"linear-equation","entry":"linear equation"},{"slug":"linear-extrapolation","entry":"linear extrapolation"},{"slug":"linear-function","entry":"linear function"}],"after":[{"slug":"linear-induction-motor","entry":"linear induction motor"},{"slug":"linear-interpolation","entry":"linear interpolation"},{"slug":"linearity","entry":"linearity"},{"slug":"linearize","entry":"linearize"},{"slug":"linear-measure","entry":"linear measure"}]}},"meta":{"arg":{"word":"linear-independence"},"requestId":"wca2csdxwPcIWNXclQBMH","requestStatus":"fulfilled"}},{"type":"luna/fetchExampleSentences/fulfilled","payload":{"data":{"tdb":[],"gbg":[]}},"meta":{"arg":{"word":"linear-independence"},"requestId":"TYWvXv90eUdRTxFg6Rwn8","requestStatus":"fulfilled"}},{"type":"fetchDictionaryResults/fulfilled","payload":{"slugs":[{"entries":[{"__typename":"Entry","audioPronunciations":[],"confusableNotes":[],"genderNotes":[],"grammarNotes":[],"headword":{"displayForm":"linear independence","slug":"linear-independence"},"idioms":[],"orderKey":99999010,"ordinal":10,"origin":null,"partOfSpeechBlock":[{"definitions":[{"antonymsConnection":{"edges":[]},"definitionSetChunks":"[{\"type\": \"def\", \"children\": [{\"text\": \"(in linear algebra) the property of a set of elements in a vector space in which none of the vectors can be written as a linear combination of the others.\", \"type\": \"text\"}]}]","examples":[],"ordinal":1,"subdefinitions":[],"synonymsConnection":{"edges":[]}}],"inflectionSets":[],"labelSet":{"labelSetText":"Mathematics."},"ordinal":1,"partOfSpeech":"noun"}],"pronunciationNotes":[],"pronunciationSet":null,"relatedFormSets":[{"chunks":"[{\"text\": \"lin\\ue003early independ\\ue003ent\", \"type\": \"related_form\"}, {\"text\": \"adj\", \"type\": \"part_of_speech\", \"pretext\": \"none\", \"posttext\": \"none\"}]","ordinal":1}],"sensitiveNotes":[],"spellingNotes":[],"synonymStudy":[],"usageAlerts":[],"usageNotes":[],"variants":[],"verbPhrases":[]}],"url":"linear-independence"}]},"meta":{"arg":{"slug":"linear-independence"},"requestId":"2w0UKJXJ1TO11jVR8iJ4g","requestStatus":"fulfilled"}},{"type":"fetchResultsData/fulfilled","payload":{"data":{"url":"linear-independence","displayForm":"linear independence","canonicalSlug":"linear-independence","content":[{"source":"luna","entries":[{"id":"u3bb48a285cbafaf0.-3bc55cee.14d9e6cecbb.79f1","type":"normal","entry":"linear independence","entrySyllabified":"linear independence","entryVariants":[],"homograph":null,"pronunciation":null,"predefinitionContent":"","posBlocks":[{"definitions":[{"order":1,"type":"simple","predefinitionContent":"","postdefinitionContent":"","definition":"(in linear algebra) the property of a set of elements in a vector space in which none of the vectors can be written as a linear combination of the others.","synonyms":"","antonyms":"","cites":[]}],"pos":"noun","posSupplementaryInfo":"Mathematics."}],"origin":null,"originData":null,"supplementaryNotes":[],"variantForms":[],"variantSpellings":[],"referenceData":[],"relatedForms":["linearly independent, adjective"],"confusables":[]}]}],"nearbyWordOrdinal":90240,"index-rank-01":["linear independence"],"index-rank-02":[],"index-rank-03":[],"index-rank-04":["linear independence's","linear independences","linear independences'"],"index-rank-05":[],"index-rank-06":[],"index-rank-07":[],"index-rank-08":[],"index-rank-09":["linearly independent"],"index-rank-10":[],"index-rank-11":[],"index-rank-12":[],"index-rank-13":[],"index-rank-14":[],"index-rank-15":[],"categoryId":"356","complexityScore":0.2283137612177273,"gradeLevel":"high_school","tunaSlug":null,"isFeaturedMetaSlug":false}},"meta":{"arg":{"word":"linear-independence"},"requestId":"SIRr_LYVYvs7ivexj0nIP","requestStatus":"fulfilled"}},{"type":"fetchSpellSuggestions/fulfilled","payload":{"data":{"luna":[],"tuna":[],"lunaWithSlug":[],"tunaWithSlug":[]}},"meta":{"arg":{"word":"linear-independence"},"requestId":"Onxli4YWP4xoa1FqtyJZ8","requestStatus":"fulfilled"}}]},"actionData":null,"errors":null}

linear independence

noun

Other Words From