Texas Instruments voyage 200 User Manual - Page 878

to extend the previous example to two parallel intersecting cylinders of radius r. The cylinder solutions illustrate how families of solutions might contain arbitrary constants of the form @k, where k is an integer suffix from 1 through 255. The suffix resets to 1 when you use ClrHome or ƒ 8:Clear Home. x= r 2 and y= 3ør 2 and z=@1 or x= r 2 and y= ë 3ør 2 and z=@1 For polynomial systems, computation time or memory exhaustion may depend strongly on the order in which you list solution variables. If your initial choice exhausts memory or your patience, try rearranging the variables in the equations and/or varOrGuess list. If you do not include any guesses and if any equation is non-polynomial in any variable but all equations are linear in the solution variables, solve() uses Gaussian elimination to attempt to determine all real solutions. solve(x+e^(z)ù y=1 and xì y=sin(z),{x,y}) ¸ x= ezøsin(z)+1 ez+1 and y= ë (sin(z)ì 1) ez+1 If a system is neither polynomial in all of its variables nor linear in its solution variables, solve() determines at most one solution using an approximate iterative method. To do so, the number of solution variables must equal the number of equations, and all other variables in the equations must simplify to numbers. solve(e^(z)ù y=1 and ë y=sin(z),{y,z}) ¸ y=.041... and z=3.183... Each solution variable starts at its guessed value if there is one; otherwise, it starts at 0.0. Use guesses to seek additional solutions one by one. For convergence, a guess may have to be rather close to a solution. solve(e^(z)ù y=1 and ë y=sin(z),{y,z=2p}) ¸ y=.001... and z=6.281... SortA MATH/List menu SortA listName1[, listName2] [, listName3] ... SortA vectorName1[, vectorName2] [, vectorName3] ... Sorts the elements of the first argument in ascending order. If you include additional arguments, sorts the elements of each so that their new positions match the new positions of the elements in the first argument. All arguments must be names of lists or vectors. All arguments must have equal dimensions. {2,1,4,3}! list1 ¸ SortA list1 ¸ list1 ¸ {4,3,2,1}! list2 ¸ SortA list2,list1 ¸ list2 ¸ list1 ¸ {2,1,4,3} Done {1 2 3 4} {4 3 2 1} Done {1 2 3 4} {4 3 2 1} SortD MATH/List menu SortD listName1[, listName2] [, listName3] ... SortD vectorName1[,vectorName 2] [,vectorName 3] ... Identical to SortA, except SortD sorts the elements in descending order. {2,1,4,3}! list1 ¸ {1,2,3,4}! list2 ¸ SortD list1,list2 ¸ list1 ¸ list2 ¸ {2 1 4 3} {1 2 3 4} Done {4 3 2 1} {3 4 1 2} 880 Appendix A: Functions and Instructions