Sentence Examples

  • The naval prefect is assisted by a rearadmiral as chief of the staff (except at Lorient and Rochefort, where the office is filled by a captain), and a certain number of other officers, the special functions of the chief of the staff having relation principally to the and personnel of the fleet, while the major-general, who is usually a rear-admiral, is concerned chiefly with the materiel.
  • CY The proof being of general application we may state that a system of values which causes the vanishing of k polynomials in k variables causes also the vanishing of the Jacobian, and in particular, when the forms are of the same degree, the vanishing also of the differential coefficients of the Jacobian in regard to each of the variables.
  • =n3, 'If' the forms a:, b:, cy 7 identical the symbols are alternative, and provided that the form does not vanish it denotes an invariant of the single form ay.
  • In this they were completely successful, for they obtained general solutions for the equations ax by = c, xy = ax+by+c (since rediscovered by Leonhard Euler) and cy 2 = ax e + b.
  • The resultant hydrostatic thrust across any diametral plane of the cylinder will be modified, but the only term in the loss of head which exerts a resultant thrust on the whole cylinder is 2mU sin Olga, and its thrust is 27rpmU absolute units in the direction Cy, to be counteracted by a support at the centre C; the liquid is streaming past r=a with velocity U reversed, and the cylinder is surrounded by a vortex.

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