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In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations.The idea is to choose a finite-dimensional space of candidate solutions (usually polynomials up to a certain degree) and a number of points in the domain (called collocation points), and to select that solution which satisfies the ...
In phraseology, a collocation is a type of compositional phraseme, meaning that it can be understood from the words that make it up. This contrasts with an idiom, where the meaning of the whole cannot be inferred from its parts, and may be completely unrelated. There are about seven main types of collocations: adjective + noun, noun + noun ...
Cohesion is the grammatical and lexical linking within a text or sentence that holds a text together and gives it meaning. It is related to the broader concept of coherence. There are two main types of cohesion: lexical cohesion: based on lexical content and background knowledge. A cohesive text is created in many different ways.
The lexical approach refers to various methods of teaching foreign languages with focus on lexical units of various sizes. On the smaller end, the lexical approach refers to teaching practices where vocabulary learning sets the preliminary ground for further language learning. Paul Nation, Laufer and others have been influential in this field ...
Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain differential equations. The idea is to write the solution of the differential equation as a sum of certain "basis functions" (for example, as a Fourier series which is a sum of sinusoids) and then to choose the ...
All collocation methods are implicit Runge–Kutta methods, but not all implicit Runge–Kutta methods are collocation methods. [28] The Gauss–Legendre methods form a family of collocation methods based on Gauss quadrature. A Gauss–Legendre method with s stages has order 2s (thus, methods with arbitrarily high order can be constructed). [29]
Inversion (linguistics) In linguistics, inversion is any of several grammatical constructions where two expressions switch their typical or expected order of appearance, that is, they invert. There are several types of subject-verb inversion in English: locative inversion, directive inversion, copular inversion, and quotative inversion.
Compounds are units of meaning formed with two or more words. The words are usually written separately, but some may have a hyphen or be written as one word. Often the meaning of the compound can be guessed by knowing the meaning of the individual words.