Texas Instruments voyage 200 User Manual - Page 814
expand, The goal - partial fractions
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Exit CATALOG Exit Program listing: Exits the current For, While, or Loop block. Exit is not allowed outside the three looping structures (For, While, or Loop). :0! temp :For i,1,100,1 : temp+i! temp : If temp>20 : Exit :EndFor :Disp temp Contents of temp after execution: 21 exp4list() CATALOG exp4list(expression,var) ⇒ list Examines expression for equations that are separated by the word "or," and returns a list containing the right-hand sides of the equations of the form var=expression. This gives you an easy way to extract some solution values embedded in the results of the solve(), cSolve(), fMin(), and fMax() functions. solve(x^2ì xì 2=0,x) ¸ x=ë 1 x=2 or exp4list(solve(x^2ì xì 2=0,x),x) ¸ {ë 1 2} Note: exp4list() is not necessary with the zeros and cZeros() functions because they return a list of solution values directly. expand( ) MATH/Algebra menu expand(expression1 [, var]) ⇒ expression expand(list1 [,var]) ⇒ list expand(matrix1 [,var]) ⇒ matrix expand(expression1) returns expression1 expanded with respect to all its variables. The expansion is polynomial expansion for polynomials and partial fraction expansion for rational expressions. expand((x+y+1)^2) ¸ xñ + 2ø xø y + 2ø x + yñ + 2ø y + 1 expand((x^2ì x+y^2ì y)/(x^2ù y^2ì x^2ù yì xù y^2+xù y)) ¸ The goal of expand() is to transform expression1 into a sum and/or difference of simple terms. In contrast, the goal of factor() is to transform expression1 into a product and/or quotient of simple factors. expand(expression1,var) returns expression expanded with respect to var. Similar powers of var are collected. The terms and their factors are sorted with var as the main variable. There might be some incidental factoring or expansion of the collected coefficients. Compared to omitting var, this often saves time, memory, and screen space, while making the expression more comprehensible. expand((x+y+1)^2,y) ¸ yñ + 2ø yø (x + 1) + (x + 1)ñ expand((x+y+1)^2,x) ¸ xñ + 2ø xø (y + 1) + (y + 1)ñ expand((x^2ì x+y^2ì y)/(x^2ù y^2ì x^2ù yì xù y^2+xù y),y) ¸ expand(ans(1),x) ¸ 816 Appendix A: Functions and Instructions
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