Sentence Examples


  • Other forms are n-1 n-2 2 ax +nbx x +n(n-i)cx x +..., 1121 2 the binomial coefficients C) being replaced by s!(e), and n 1, n-1 1 n-2 2 ax 1 +l i ox l 'x 2 + L ?cx 1 'x2+..., the special convenience of which will appear later.
  • As between the original and transformed quantic we have the umbral relations A1 = A1a1 d-A2a2, A2 = /21a1+/22a2, and for a second form B1 =A 1 b 1+ A 2 b 2, B 2 =/21bl +�2b2� The original forms are ax, bi, and we may regard them either as different forms or as equivalent representations of the same form.
  • - 2 ay2' ax, Ux2 ��� a y n ay.
  • Taking two of the equations ax + +cz) x"' 1 +...
  • Such curves are given by the equation x 2 - y 2 = ax 4 -1bx 2 y 2 +cy 4 .
 

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