Sentence Examples


  • The next case is that in which u is a quadratic function of x, i.e.
  • (6) The least admissible value of p is that which makes the roots equal of this quadratic in µ, and then ICI s ec 0,, u= z - p (7) the roots would be imaginary for a value of p smaller than given by Cip 2 - 4(c 2 -c i)c2C 2 u 2 =o, (8) p2 = 4(c 2 -c l)cl C2.
  • The quartic to a quadratic. The new variables y1= 0 are the linear factors of 0.
  • He was also the author of important papers in which he extended to complex quadratic forms many of Gauss's investigations relating to real quadratic forms. After 1864 he devoted himself chiefly to elliptic functions, and numerous papers on this subject were published by him in the Proc. Lond.
  • It forms quadratic prisms, having a violet reflex and insoluble in boiling hydrochloric acid.
 

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