The pain in his chest couldn't equate with the pain and distress shooting through him like cold fire.
If we equate these to zero we get the co-ordinates of the instantaneous centre.
How to equate this foreign civilizing race from Asia with the Semitic elements in the ancient Egyptian speech we do not yet know.
(iii.) Another result is that we can equate coefficients of like powers of x in two multinomials obtained from the same expression by different methods of expansion.
Assuming then 01 to have the coefficients B1, B2,...B,, and f l the coefficients A 1, A21...A,n, we may equate coefficients of like powers of x in the identity, and obtain m+n homogeneous linear equations satisfied by the m+n quantities B1, 2, ...B n, A 1, A 2, ...A m.