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In y = sin x and x = arc sin y, the inverse function of sine is arc sine."},"targetEntry":{"headword":"inverse function","id":"55680b050000000245005587","slug":"inverse-function"}}],"id":"55680b05000000024500550f","ordinal":3,"source":"random-house","subOrdinal":2,"tags":[{"tag":"Mathematics","type":"category"}],"text":"inverse function."},{"id":"55680b050000000245005517","ordinal":3,"source":"random-house","subOrdinal":3,"tags":[{"tag":"Mathematics","type":"category"}],"text":"a point related to a given point so that it is situated on the same radius, extended if necessary, of a given circle or sphere and so that the product of the distances of the two points from the center equals the square of the radius of the circle or sphere."},{"id":"55680b05000000024500551b","ordinal":3,"source":"random-house","subOrdinal":4,"tags":[{"tag":"Mathematics","type":"category"}],"text":"the set of such inverses of the points of a given set, as the points on a curve."}],"id":"55680b0500000002450054fe","ordinal":2,"partOfSpeech":"noun"},{"definitions":[{"crossReferences":[{"targetEntry":{"headword":"invert","id":"55680b050000000245005711","slug":"invert"}}],"id":"55680b050000000245005525","ordinal":1,"source":"random-house","text":"to invert."}],"id":"55680b05000000024500551f","inflectedFormSets":[{"inflectedForms":[{"form":"inversed","ordinal":1,"syllabicForm":"in·versed"},{"form":"inversing","ordinal":2,"syllabicForm":"in·vers·ing"}]}],"ordinal":3,"partOfSpeech":"verb-transitive"}],"pronunciationSets":[{"id":"55680b0500000002450054d2","lang":"en","ordinal":1,"pronunciations":[{"audio":{"flac":"I02/I0279500/I0279500.flac","mpeg":"I02/I0279500/I0279500.mp3","ogg":"I02/I0279500/I0279500.ogg","wav":"I02/I0279500/I0279500.wav"},"id":"55680b0500000002450054d6","ipa":{"text":"ɪnˈvɜrs"},"phonetic":{"boldIndices":[3,4,5,6],"html":"in-vurs","text":"in-vurs"}},{"id":"55680b0500000002450054da","ipa":{"text":"ˈɪn vɜrs"},"phonetic":{"boldIndices":[0,1],"html":"in-vurs","text":"in-vurs"}}],"region":"us"},{"id":"55680b058f0d7c8ede6482da","lang":"en","ordinal":2,"pronunciations":[{"id":"55680b0500000002450054e0","ipa":{"text":"ɪnˈvɜrs"},"phonetic":{"boldIndices":[3,4,5,6],"html":"in-vurs","text":"in-vurs"}}],"region":"us"}],"slug":"inverse","source":"dcom","type":"dcom"}],"type":"dcom"},{"entries":[{"createDate":"2012-01-01T00:00:21Z","headword":{"normalizedForm":"inverse","standardForm":"inverse"},"id":"4effa2158f0d7c8ede2052d0","lang":"en","modifyDate":"2012-01-01T00:00:21Z","ngrams":{"allLetters":true,"forward":"inverse","groups":["e","ee","i","n","r","s","v"],"numLetters":7,"reverse":"esrevni","subwordTokens":["inverse","nverse","verse","erse","rse","se","e"]},"normalizedLetter":"i","ordinal":1,"partOfSpeechBlocks":[{"definitions":[{"id":"4c1e51d7cbb9b84c7505761e","ordinal":1,"text":"Relating to a mathematical operation whose nature or effect is the opposite of another operation. For example, addition and subtraction are inverse operations, as are multiplication and division."}],"ordinal":1},{"definitions":[{"id":"4c158e5281f97b4b68b57766","ordinal":1,"text":"An inverse operation. Subtraction is the inverse of addition."},{"id":"4c86000cbdf4ad79783d4e6a","ordinal":2,"text":"Either of a pair of elements in a set whose result under the mathematical operation of the set is the identity element. For example, the inverse of 5 under multiplication is 1/5, since 5 × 1/5 = 1, the identity element under multiplication. The inverse of 5 under addition is −5, since 5 + −5 = 0."}],"ordinal":2}],"slug":"inverse","source":"american-heritage","type":"science"}],"type":"science"},{"entries":[{"createDate":"2010-06-30T17:18:17Z","derivedFormSets":[{"derivedForms":[{"form":"inversely"}],"partOfSpeech":"adverb"}],"headword":{"normalizedForm":"inverse","standardForm":"inverse"},"id":"4c2b7c599ab7c66b78b598af","lang":"en","modifyDate":"2010-06-30T17:18:17Z","ngrams":{"allLetters":true,"forward":"inverse","groups":["e","ee","i","n","r","s","v"],"numLetters":7,"reverse":"esrevni","subwordTokens":["inverse","nverse","verse","erse","rse","se","e"]},"normalizedLetter":"i","ordinal":1,"origin":{"source":"collins","text":"C17: from Latin inversus, from invertere to _invert","type":"etymology"},"partOfSpeechBlocks":[{"definitions":[{"id":"4c20d79a211afdd0a0fb49c0","ordinal":1,"tags":[{"tag":"General:General_Language:General_Language_Term","type":"subject-field"}],"text":"opposite or contrary in effect, sequence, direction, etc"},{"id":"4cb366598aeb681e95513765","ordinal":2,"tags":[{"tag":"Science_and_Technology:Mathematics_and_Measurements:Mathematics","type":"subject-field"}],"text":"maths"},{"examples":[{"sentence":"the volume of a gas is in inverse ratio to its pressure"}],"id":"4c11c518f797dc74f976697f","ordinal":2,"subOrdinal":1,"text":"(of a relationship) containing two variables such that an increase in one results in a decrease in the other"},{"id":"4c4ece4c000000005b00218d","ordinal":2,"subOrdinal":2,"text":"(of an element) operating on a specified member of a set to produce the identity of the set: the additive inverse element of x is –x, the multiplicative inverse element of x is 1/x"},{"examples":[{"sentence":"in an inverse position"}],"id":"4c8038678717c2434d556312","ordinal":3,"tags":[{"tag":"General:General_Language:General_Language_Term","type":"subject-field"}],"text":"(usually prenominal) upside-down; inverted"}],"ordinal":1,"partOfSpeech":"adjective"},{"definitions":[{"id":"4cf6b65edafa761343c6c766","ordinal":1,"tags":[{"tag":"Science_and_Technology:Mathematics_and_Measurements:Mathematics","type":"subject-field"}],"text":"maths"},{"id":"4c09815aaf74b90925e3a6b8","ordinal":1,"subOrdinal":1,"text":"another name for reciprocal"},{"id":"4c22e869a7bb11fe48d6325f","ordinal":1,"subOrdinal":2,"text":"an inverse element"},{"id":"4c14992f72eb0d49d1ecdea2","ordinal":2,"tags":[{"tag":"Religion_and_Philosophy:Philosophy:Logic","type":"subject-field"}],"text":"logic a categorial proposition derived from another by changing both the proposition and its subject from affirmative to negative, or vice versa, as all immortals are angels from no mortals are angels"}],"ordinal":2,"partOfSpeech":"noun"}],"pronunciationSets":[{"ordinal":1,"pronunciations":[{"ipa":{"text":"ˈɪnvɜːs"}}]},{"ordinal":2,"pronunciations":[{"ipa":{"text":"ɪnˈvɜːs"}}]}],"slug":"inverse","source":"collins","type":"british"}],"type":"british"}],"meta":{"arg":"inverse","requestId":"kz149Rp1tFRRrUFuNNlHr","requestStatus":"fulfilled"}},{"type":"fetchSpellSuggestions/fulfilled","payload":{},"meta":{"arg":{"word":"INVERSE"},"requestId":"4B3z8GcaoKuYxzHgJHh1N","requestStatus":"fulfilled"}}]},"actionData":null,"errors":null}

inverse

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