{"loaderData":{"0":null,"0-5":[{"type":"wordpress/fetchEditorialNotes/rejected","meta":{"arg":{"word":"tchebycheff-equation"},"requestId":"n1nwkpjZuryJHx0pWbmSp","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":"SvtnEeiJ1e_U5P4rx4H5n","requestStatus":"fulfilled"}},{"type":"fetchWordsNearby/fulfilled","payload":{"data":{"before":[{"slug":"tch","entry":"TCH"},{"slug":"tchad","entry":"Tchad"},{"slug":"tchaikovsky","entry":"Tchaikovsky"},{"slug":"tchaikovsky--peter-ilyich","entry":"Tchaikovsky, Peter Ilyich"},{"slug":"tchambuli","entry":"Tchambuli"}],"after":[{"slug":"tchebycheff-polynomial","entry":"Tchebycheff polynomial"},{"slug":"tchebychev-s-inequality","entry":"Tchebychev's inequality"},{"slug":"tchekhov","entry":"Tchekhov"},{"slug":"tcherepnin","entry":"Tcherepnin"},{"slug":"tchernosem","entry":"tchernosem"}]}},"meta":{"arg":{"word":"tchebycheff-equation"},"requestId":"UiARvsXDSmPlQpSqhFTuI","requestStatus":"fulfilled"}},{"type":"luna/fetchExampleSentences/fulfilled","payload":{"data":{"nlp":[],"tdb":[],"gbg":[]}},"meta":{"arg":{"word":"tchebycheff-equation"},"requestId":"N2YRHFUr566FI9r4S5dje","requestStatus":"fulfilled"}},{"type":"fetchDictionaryResults/fulfilled","payload":{"slugs":[{"entries":[{"__typename":"Entry","audioPronunciations":[{"mpeg":"https://nonprod-audio.dictionary.com/T00/T0092200/T0092200.mp3"}],"confusableNotes":[],"genderNotes":[],"grammarNotes":[],"headword":{"displayForm":"Tchebycheff equation","slug":"tchebycheff-equation"},"idioms":[],"orderKey":99999010,"ordinal":10,"origin":{"originChunks":"[{\"text\": \"Named after Pafnuti\\u012d L.\", \"type\": \"text\"}, {\"text\": \"Chebyshev\", \"type\": \"person\"}, {\"text\": \"(1821\\u201394), Russian mathematician\", \"type\": \"text\"}]"},"partOfSpeechBlock":[{"definitions":[{"antonymsConnection":{"edges":[]},"definitionSetChunks":"[{\"type\": \"def\", \"children\": [{\"text\": \"a differential equation of the form (1 \\u2212\", \"type\": \"text\"}, {\"text\": \"x\", \"type\": \"emphasis\"}, {\"text\": \"2\", \"type\": \"text\"}, {\"text\": \")\", \"type\": \"text\"}, {\"text\": \"d\", \"type\": \"emphasis\"}, {\"text\": \"2\", \"type\": \"text\"}, {\"text\": \"y/dx\", \"type\": \"emphasis\"}, {\"text\": \"2\", \"type\": \"text\"}, {\"text\": \"\\u2212\", \"type\": \"text\"}, {\"text\": \"x dy/dx\", \"type\": \"emphasis\"}, {\"text\": \"+\", \"type\": \"text\"}, {\"text\": \"n\", \"type\": \"emphasis\"}, {\"text\": \"2\", \"type\": \"text\"}, {\"text\": \"y\", \"type\": \"emphasis\"}, {\"text\": \"= 0, where\", \"type\": \"text\"}, {\"text\": \"n\", \"type\": \"emphasis\"}, {\"text\": \"is any nonnegative integer.\", \"type\": \"text\"}]}]","examples":[],"ordinal":1,"subdefinitions":[],"synonymsConnection":{"edges":[]}}],"inflectionSets":[],"labelSet":{"labelSetText":"Mathematics."},"ordinal":1,"partOfSpeech":"noun"}],"pronunciationNotes":[],"pronunciationSet":{"pronunciationSetChunk":"{\"type\": \"pronunciation_set\", \"pointsTo\": \"u3bb48a285cbafaf0.-3bc55cee.14d9e79db71.-30cc\", \"pronunciationGroupChunks\": [{\"type\": \"pronunciation_group\", \"punc\": \"comma\", \"pointsTo\": \"u3bb48a285cbafaf0.-3bc55cee.14d9e79db71.-30cb\", \"ipaChunks\": [{\"text\": \"t\\u0283\\u0259 b\\u0259\\u02c8\\u0283\\u0254f \\u026a\\u02cckwe\\u026a \\u0292\\u0259n\", \"type\": \"text\", \"pointsTo\": \"u3bb48a285cbafaf0.-3bc55cee.14d9e79db71.-30ca\"}], \"spellChunks\": [{\"text\": \"ch\", \"type\": \"text\"}, {\"text\": \"uh\", \"type\": \"emphasis\", \"pointsTo\": \"ufb1ed2ce3c75fa4a.-908464b.16797b5ec89.-14a1\"}, {\"text\": \"-b\", \"type\": \"text\"}, {\"text\": \"uh\", \"type\": \"emphasis\", \"pointsTo\": \"ufb1ed2ce3c75fa4a.-908464b.16797b5ec89.-14a0\"}, {\"text\": \"-\", \"type\": \"text\"}, {\"text\": \"shawf\", \"type\": \"bold\", \"pointsTo\": \"ufb1ed2ce3c75fa4a.-908464b.16797b5ec89.-149f\"}, {\"text\": \" i-kwey-zh\", \"type\": \"text\"}, {\"text\": \"uh\", \"type\": \"emphasis\", \"pointsTo\": \"ufb1ed2ce3c75fa4a.-908464b.16797b5ec89.-149e\"}, {\"text\": \"n\", \"type\": \"text\"}]}, {\"type\": \"pronunciation_group\", \"pointsTo\": \"u5e4d883de37776bc.6aee89bb.158dd93aaad.-38c3\", \"ipaChunks\": [{\"text\": \"\\u2010\\u0283\\u0259n\", \"type\": \"text\", \"pointsTo\": \"u5e4d883de37776bc.6aee89bb.158dd93aaad.-38c2\"}], \"spellChunks\": [{\"text\": \"\\u2010sh\", \"type\": \"text\"}, {\"text\": \"uh\", \"type\": \"emphasis\", \"pointsTo\": \"ude60a91ca67209bf.1dc5b96.15ced25f4b3.-7a5d\"}, {\"text\": \"n\", \"type\": \"text\"}]}]}"},"relatedFormSets":[],"sensitiveNotes":[],"spellingNotes":[],"synonymStudy":[],"usageAlerts":[],"usageNotes":[],"variants":[],"verbPhrases":[]}],"url":"tchebycheff-equation"}]},"meta":{"arg":{"slug":"tchebycheff-equation"},"requestId":"NnJtaxVe245lHY9IJS5aA","requestStatus":"fulfilled"}},{"type":"fetchResultsData/fulfilled","payload":{"data":{"url":"tchebycheff-equation","displayForm":"Tchebycheff equation","canonicalSlug":"tchebycheff-equation","content":[{"source":"luna","entries":[{"id":"u3bb48a285cbafaf0.-3bc55cee.14d9e79db71.-30d0","type":"normal","entry":"Tchebycheff equation","entrySyllabified":"Tche·by·cheff e·qua·tion","entryVariants":[],"homograph":null,"pronunciation":{"ipa":"tʃə bəˈʃɔf ɪˌkweɪ ʒən, ‐ʃən ","spell":"chuh-buh-shawfi-kwey-zhuhn, ‐shuhn ","audio":{"audio/ogg":"https://static.sfdict.com/audio/lunawav/T00/T0092200.ogg","audio/mpeg":"https://static.sfdict.com/audio/T00/T0092200.mp3"}},"predefinitionContent":"","posBlocks":[{"definitions":[{"order":1,"type":"simple","predefinitionContent":"","postdefinitionContent":"","definition":"a differential equation of the form (1 − x2) d2y/dx2 − x dy/dx + n2y = 0, where n is any nonnegative integer.","synonyms":"","antonyms":"","cites":[]}],"pos":"noun","posSupplementaryInfo":"Mathematics."}],"origin":"Named after Pafnutiĭ L. Chebyshev (1821–94), Russian mathematician","originData":null,"supplementaryNotes":[],"variantForms":["Also called Che·by·shev equation ."],"variantSpellings":[],"referenceData":[],"relatedForms":[],"confusables":[]}]}],"nearbyWordOrdinal":154035,"index-rank-01":["tchebycheff equation"],"index-rank-02":[],"index-rank-03":["chebyshev equation"],"index-rank-04":["tchebycheff equation's","tchebycheff equations","tchebycheff equations'"],"index-rank-05":["chebyshev equation's","chebyshev equations","chebyshev equations'"],"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":[],"complexityScore":0.2643848060636926,"gradeLevel":"high_school","tunaSlug":null,"isFeaturedMetaSlug":false}},"meta":{"arg":{"word":"tchebycheff-equation"},"requestId":"N7kltcjk-gb_FvqR76HkT","requestStatus":"fulfilled"}},{"type":"fetchSpellSuggestions/fulfilled","payload":{"data":{"luna":["Tchebycheff equation","chemical equation","Tchebychev's inequality","theory of equations","Laplace equation","Legendre equation","Schrödinger equation","Tchebycheff polynomial","algebraic equation","heat equation"],"tuna":[],"lunaWithSlug":[{"displayForm":"Tchebycheff equation","slug":"tchebycheff-equation"},{"displayForm":"chemical equation","slug":"chemical-equation"},{"displayForm":"Tchebychev's inequality","slug":"tchebychevs-inequality"},{"displayForm":"theory of equations","slug":"theory-of-equations"},{"displayForm":"Laplace equation","slug":"laplace-equation"},{"displayForm":"Legendre equation","slug":"legendre-equation"},{"displayForm":"Schrödinger equation","slug":"schrodinger-equation"},{"displayForm":"Tchebycheff polynomial","slug":"tchebycheff-polynomial"},{"displayForm":"algebraic equation","slug":"algebraic-equation"},{"displayForm":"heat equation","slug":"heat-equation"}],"tunaWithSlug":[]}},"meta":{"arg":{"word":"tchebycheff-equation"},"requestId":"sHWu3RTuQd79kNY_txm-i","requestStatus":"fulfilled"}}]},"actionData":null,"errors":null}

Tchebycheff equation

noun

Word History and Origins