HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 165
Matrix functions, Polynomial functions
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hp40g+.book Page 11 Friday, December 9, 2005 1:03 AM RECURSE Σ Provides a method of defining a sequence without using the Symbolic view of the Sequence aplet. If used with | ("where"), RECURSE will step through the evaluation. RECURSE(sequencename, termn, term1, term2) Example RECURSE(U,U(N-1)*N,1,2) U1(N) Stores a factorial-calculating function named U1. When you enter U1(5), for example, the function calculates 5! (120). Summation. Finds the sum of expression with respect to variable from initialvalue to finalvalue. Σ(variable=initialvalue, finalvalue, expression) Example Σ(C=1,5,C2) returns 55. Matrix functions These functions are for matrix data stored in matrix variables. See "Matrix functions and commands" on page 18-10. Polynomial functions Polynomials are products of constants (coefficients) and variables raised to powers (terms). POLYCOEF Polynomial coefficients. Returns the coefficients of the polynomial with the specified roots. POLYCOEF ([roots]) Example To find the polynomial with roots 2, -3, 4, -5: POLYCOEF([2,-3,4,-5]) returns[1,2,-25, -26,120], representing x4+2x3-25x2-26x+120. POLYEVAL Polynomial evaluation. Evaluates a polynomial with the specified coefficients for the value of x. POLYEVAL([coefficients], value) Using mathematical functions 13-11