Sentence Examples


  • X n/ yl, Y2,...y n j ' x 1, � Forming the product of the first two by the product theorem, we obtain for the element in the ith row and kth column aZ, ayl az i ayz azi ayn ayl + e +...+ where or as a21 a22 ���a2,i -1 a2,i +1 .��a2n a31 ���a3,i -1 a3,ti+ 1 ���a3n ���yi -)tin,and a7,2 ���a,,,i -1 an,i+1 ...an�' a21 a22 ���a2, -1 a32 -1 I.
  • X n/ yl, Y2,...y n j ' x 1, � Forming the product of the first two by the product theorem, we obtain for the element in the ith row and kth column aZ, ayl az i ayz azi ayn ayl + e +...+ where or as a21 a22 ���a2,i -1 a2,i +1 .��a2n a31 ���a3,i -1 a3,ti+ 1 ���a3n ���yi -)tin,and a7,2 ���a,,,i -1 an,i+1 ...an�' a21 a22 ���a2, -1 a32 -1 I.
  • May be a simultaneous invariant of a number of different forms az', bx 2, cx 3, ..., where n1, n 2, n3, ...
  • First observe that with f x =a: = b z = ���,f1 = a l a z ', f 2 = a 2 az-', f x =f,x i +f 2 x i, we find (ab) - (a f) bx - (b f) ax.
  • Of any form az there exists a finite number of invariants and covariants, in terms of which all other covariants are rational and integral functions (cf.

How would you define az? Add your definition here.

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