Texas Instruments voyage 200 User Manual - Page 797
polynomial, Digits
UPC - 033317193424
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cSolve() starts with exact symbolic methods. Except in EXACT mode, cSolve() also uses iterative approximate complex polynomial factoring, if necessary. Note: See also cZeros(), solve(), and zeros(). Display Digits mode in Fix 2: exact(cSolve(x^5+4x^4+5x ^3ì6xì3=0,x)) ¸ cSolve(ans(1),x) ¸ Note: If equation is non-polynomial with functions such as abs(), angle(), conj(), real(), or imag(), you should place an underscore _ ( 2 ) at the end of var. By default, a variable is treated as a real value. If you use var_ , the variable is treated as complex. You should also use var_ for any other variables in equation that might have unreal values. Otherwise, you may receive unexpected results. z is treated as real: cSolve(conj(z)=1+ i,z) ¸ z_ is treated as complex: cSolve(conj(z_)=1+ i,z_) ¸ z=1+ i z_=1− i cSolve(equation1 and equation2 [and ... ], {varOrGuess1, varOrGuess2 Boolean expression Returns candidate complex solutions to the simultaneous algebraic equations, where each varOrGuess specifies a variable that you want to solve for. Optionally, you can specify an initial guess for a variable. Each varOrGuess must have the form: variable - or - variable = real or non-real number For example, x is valid and so is x=3+i. If all of the equations are polynomials and if you do NOT specify any initial guesses, cSolve() uses the lexical Gröbner/Buchberger elimination method to attempt to determine all complex solutions. Note: The following examples use an underscore _ so that the variables will be treated as complex. Complex solutions can include both real and non- cSolve(u_ù v_ì u_=v_ and v_^2=ë u_,{u_,v_}) real solutions, as in the example to the right. ¸ u_=1/2 + 23øi and v_=1/2 ì 23øi or u_=1/2 ì 23øi and v_=1/2 + 23øi or u_=0 and v_=0 Simultaneous polynomial equations can have extra variables that have no values, but represent given numeric values that could be substituted later. cSolve(u_ù v_ì u_=c_ù v_ and v_^2=ë u_,{u_,v_}) ¸ u_= ë( 1ì4øc_+1)2 4 and v_= 1ì4øc_+1 2 or u_= ë( 1ì4øc_ì1)2 4 and v_= ë( 1ì4øc_ì1) 2 or u_=0 and v_=0 Appendix A: Functions and Instructions 799