Sentence Examples

  • A binary form which has a square factor has its discriminant equal to zero.
  • A binary form of order n contains n independent constants, three of which by linear transformation can be given determinate values; the remaining n-3 coefficients, together with the determinant of transformation, give us n -2 parameters, and in consequence one relation must exist between any n - I invariants of the form, and fixing upon n-2 invariants every other invariant is a rational function of its members.
  • The nomenclature of acids follows the same general lines as that for binary compounds.
  • But the same relation does not hold of a satellite the mass of whose primary is not regarded as an absolutely known quantity, or of a binary star.
  • Thus, the affinity of hydrogen and oxygen for each other is extremely powerful, much heat being developed by the combination of these two elements; when binary compounds of oxygen are decomposed by the electric current, the oxygen invariably appears at the positive pole, being negative to all other elements, but the hydrogen of hydrogen compounds is always disengaged at the negative pole.