HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 210

hp40g+.book Page 28 Friday, December 9, 2005 1:03 AM Note Typing: T A Y L O R 0 ⎝⎛ TT---AA--NN--((-PQ---⋅⋅--XX--))-------SS--II--NN--((--PQ--⋅⋅--XX--))⎠⎞ gives: -P----3- + P----5----------Q----2----⋅---P----3- ⋅ x2 Q3 4 ⋅ Q3 'th-order' means that the numerator and the denominator are expanded to the 4th relative order (here, the 5th absolute order for the numerator, and for the denominator, which is given in the end, the 2nd order (5− 3), seeing that the exponent of the denominator is 3). TRUNC Truncate at order n - 1 TRUNC enables you to truncate a polynomial at a given order (used to perform limited expansions). TRUNC has two arguments: a polynomial and Xn. TRUNC returns the polynomial truncated at order n−1; that is, the returned polynomial has no terms with exponents ≥n. Typing: T R U N C⎝⎛ ⎛ ⎝ 1 + X + 12 ⋅ X2⎠⎞ 3 ,X4⎠⎞ gives: 4x3 + 9--x2 + 3x + 1 2 REWRI menu DISTRIB The REWRI menu contains functions that enable you to rewrite an expression in another form. Distributivity of multiplication DISTRIB enables you to apply the distributivity of multiplication in respect to addition in a single instance. DISTRIB enables you, when you apply it several times, to carry out the distributivity step by step. 14-28 Computer Algebra System (CAS)