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  2. Opposite - Wikipedia

    en.wikipedia.org/wiki/Opposite

    The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are word pairs whose meanings are opposite and which lie on a continuous spectrum (hot, cold).

  3. The Virtuoso Pianist in 60 Exercises - Wikipedia

    en.wikipedia.org/wiki/The_Virtuoso_Pianist_in_60...

    The exercises are divided in three parts: Exercises 1 - 20: Labeled "preparatory exercises", these are also the most famous exercises, and are used to develop finger strength and independence. Each exercise contains a sequence of 8 semiquavers, beginning on C, which is then repeated starting on D, and so on across two octaves. The exercise is ...

  4. Three-act structure - Wikipedia

    en.wikipedia.org/wiki/Three-act_structure

    The third act features the resolution of the story and its subplots. The climax is the scene or sequence in which the main tensions of the story are brought to their most intense point and the dramatic question answered, leaving the protagonist and other characters with a new sense of who they really are.

  5. All the Wrong Questions - Wikipedia

    en.wikipedia.org/wiki/All_the_Wrong_Questions

    All the Wrong Questions is a four-part children's book series and prequel to A Series of Unfortunate Events by Lemony Snicket (the pen name of American author Daniel Handler). The series explores Snicket's childhood apprenticeship to the secret society V.F.D and expands the fictional universe introduced in the novel The Bad Beginning , the ...

  6. Contronym - Wikipedia

    en.wikipedia.org/wiki/Contronym

    Hindi: कल and Urdu: کل (kal) may mean either "yesterday" or "tomorrow" (disambiguated by the verb in the sentence).; Icelandic: fram eftir can mean "toward the sea" or "away from the sea" depending on dialect.

  7. Series acceleration - Wikipedia

    en.wikipedia.org/wiki/Series_acceleration

    Two classical techniques for series acceleration are Euler's transformation of series [1] and Kummer's transformation of series. [2] A variety of much more rapidly convergent and special-case tools have been developed in the 20th century, including Richardson extrapolation, introduced by Lewis Fry Richardson in the early 20th century but also known and used by Katahiro Takebe in 1722; the ...

  8. Arzelà–Ascoli theorem - Wikipedia

    en.wikipedia.org/wiki/Arzelà–Ascoli_theorem

    Since F is uniformly bounded, the set of points {f(x 1)} f∈F is bounded, and hence by the Bolzano–Weierstrass theorem, there is a sequence {f n 1} of distinct functions in F such that {f n 1 (x 1)} converges. Repeating the same argument for the sequence of points {f n 1 (x 2)} , there is a subsequence {f n 2} of {f n 1} such that {f n 2 (x ...

  9. Isomorphism theorems - Wikipedia

    en.wikipedia.org/wiki/Isomorphism_theorems

    An application of the second isomorphism theorem identifies projective linear groups: for example, the group on the complex projective line starts with setting = ⁡ (), the group of invertible 2 × 2 complex matrices, = ⁡ (), the subgroup of determinant 1 matrices, and the normal subgroup of scalar matrices = {():}, we have = {}, where is ...