Sentence Examples

  • Thus we shall be able to specify the system completely when the number of variables, viz.
  • This is of degree 8 in the coefficients, and degree 6 in the variables, and, for the canonical form, has the expression -9m 6 (x 3 +y 3 +z 3) 2 - (2m +5m 4 +20m 7) (x3 +y3+z3)xyz - (15m 2 +78m 5 -12m 8) Passing on to the ternary quartic we find that the number of ground forms is apparently very great.
  • Roberts's list of southern variables (ibid.
  • We thus recognize two classes of variables, of which (I) the long-period variables have periods ranging in general from 150 to 450 days, though a few are outside these limits, and (2) the short-period variables have periods less than 50 days (in the majority of cases less than io days).
  • To these must be added the external variables of temperature and pressure, and then as the total number of variables, we have r (n+I) + 2.

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