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The Russian mathematician Andrey Kolmogorov proposed the first statistical theory of turbulence, based on the aforementioned notion of the energy cascade (an idea originally introduced by Richardson) and the concept of self-similarity. As a result, the Kolmogorov microscales were named after him. It is now known that the self-similarity is ...
In 1942 or 1943, Warriner was approached by a publisher's sales representative about revising a grammar book dating from 1898. Warriner instead began writing chapters for a new book, which was published by Harcourt Brace as Warriner's Handbook of English, aimed at grades 9 and 10. This book was followed by a volume aimed at 11th and 12th graders.
The first published English grammar was a Pamphlet for Grammar of 1586, written by William Bullokar with the stated goal of demonstrating that English was just as rule-based as Latin. Bullokar's grammar was faithfully modeled on William Lily's Latin grammar, Rudimenta Grammatices (1534), used in English schools at that time, having been ...
The earliest known grammar of a Western language is the second-century BCE Art of Grammar attributed to Dionysius Thrax, a grammar of Greek. Key stages in the history of English grammars include Ælfric of Eynsham's composition around 995 CE of a grammar in Old English based on a compilation of two Latin grammars, Aelius Donatus's Ars maior and ...
In physics, the Landau–Hopf theory of turbulence, named for Lev Landau and Eberhard Hopf, was until the mid-1970s, [clarification needed] the accepted theory of how a fluid flow becomes turbulent. It states that as a fluid flows faster, it develops more Fourier modes .
[1] [2] The expected value, u ¯ {\displaystyle {\overline {u}}} , is often found from an ensemble average which is an average taken over multiple experiments under identical conditions. The expected value is also sometime denoted u {\displaystyle \langle u\rangle } , but it is also seen often with the over-bar notation.
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SST (Menter's shear stress transport) turbulence model [11] is a widely used and robust two-equation eddy-viscosity turbulence model used in computational fluid dynamics. The model combines the k-omega turbulence model and K-epsilon turbulence model such that the k-omega is used in the inner region of the boundary layer and switches to the k ...