## equating

Verb

- Present participle of
*equate*.

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- But what was matter of immanent assumption with Erigena is in them an
**equating**of two things which have been dealt with on the hypothesis that they are separate, and which, therefore, still retain that external relation to one another. - He first divides by the factor x -x', reducing it to the degree m - I in both x and x' where m>n; he then forms m equations by
**equating**to zero the coefficients of the various powers of x'; these equations involve the m powers xo, x, - of x, and regarding these as the unknowns of a system of linear equations the resultant is reached in the form of a determinant of order m. - = 0, we find that, eliminating x, the resultant is a homogeneous function of y and z of degree mn;
**equating**this to zero and solving for the ratio of y to z we obtain mn solutions; if values of y and z, given by any solution, be substituted in each of the two equations, they will possess a common factor which gives a value of x which, corn bined with the chosen values of y and z, yields a system of values which satisfies both equations. - X (1 +PD1+12D2+...+ï¿½8D8+...) fm, and now expanding and
**equating**coefficients of like powers of /t D 1 f - Z(Difi)f2f3. - This can be verified by
**equating**to zero the five coefficients of the Hessian (ab) 2 axb2.

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