Eulerian sentence example

eulerian
  • Two methods are employed in hydrodynamics, called the Eulerian and Lagrangian, although both are due originally to Leonhard Euler.
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  • In the Eulerian method the attention is fixed on a particular point of space, and the change is observed there of pressure, density and velocity, which takes place during the motion; but in the Lagrangian method we follow up a particle of fluid and observe how it changes.
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  • The Lagrangian method being employed rarely, we shall confine ourselves to the Eulerian treatment.
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  • The remainder of the first volume relates to the Eulerian integrals and to quadratures.
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  • The latter portion of the second volume of the Traite des fonctions elliptiques (1826) is also devoted to the Eulerian integrals, the table being reproduced.
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  • The phenomenon is known as the Eulerian nutalion, since it is supposed to come under the free rotations first discussed by Euler.
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  • This is, in fact, the invariable line of the free Eulerian rotation with which (as already remarked) we are here virtually concerned.
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  • This revolution is called the Eulerian motion, after the mathematician who discovered it.
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  • Were these currents invariable their only effect would be that the Eulerian motion would not take place exactly round the mean pole of figure, but round a point slightly separated from it.
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  • Newcomb's explanation of the lengthening of the Eulerian period is found in the Monthly Notices of the Royal Astronomical Society for March 1892.
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  • This document file will contain three columns with the three Eulerian angles psi, theta, and phi.
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  • In the Eulerian notation u, v, w denote the components of the velocity q parallel to the coordinate axes at any point (x, y, z) at the time t; u, v, w are functions of x, y, z, t, the independent variables; and d is used here to denote partial differentiation with respect to any one of these four independent variables, all capable of varying one at a time.
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  • The second volume (1817) relates to the Eulerian integrals, and to various integrals and series, developments, mechanical problems, &c., connected with the integral calculus; this volume contains also a numerical table of the values of the gamma function.
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