MT-1620 al.2002 EXample:X=号y Rules for subscripts NOTE: index= subscript Latin subscripts(m, n, p, q, . . take on the values 1, 2, 3 (3-D) Greek subscripts(a,B, y.take on the values 1, 2(2-D) When subscripts are repeated on one side of the equation within one term, they are called dummy indices and are to be summed on Thus: 手y1=∑手y1 Bty1+9… do not sum on i! Subscripts which appear only once on the left side of the equation within one term are called free indices and represent a separate equation Paul A Lagace @2001 Unit 3-p. 5MIT - 16.20 Fall, 2002 Example: xi = fij yj • Rules for subscripts NOTE: index ≡ subscript • Latin subscripts (m, n, p, q, …) take on the values 1, 2, 3 (3-D) • Greek subscripts (α, β, γ …) take on the values 1, 2 (2-D) • When subscripts are repeated on one side of the equation within one term, they are called dummy indices and are to be summed on Thus: 3 fij yj = ∑ fij yj j=1 But fij yj + gi ... do not sum on i ! • Subscripts which appear only once on the left side of the equation within one term are called free indices and represent a separate equation Paul A. Lagace © 2001 Unit 3 - p. 5