Texas Instruments voyage 200 User Manual - Page 876

SinReg MATH/Statistics/Regressions menu SinReg list1, list2 [ , [iterations] , [ period] [, list3, list4] ] In function graphing mode: Calculates the sinusoidal regression and updates all the system statistics variables. All the lists must have equal dimensions except for list4. list1 represents xlist. list2 represents ylist. list3 represents category codes. list4 represents category include list. seq(x,x,1,361,30)! L1 ¸ {1 31 61 ...} {5.5,8,11,13.5,16.5,19,19.5,17, 14.5,12.5,8.5,6.5,5.5}! L2 ¸ {5.5 8 11 ...} SinReg L1,L2 ¸ Done ShowStat ¸ iterations specifies the maximum number of times (1 through 16) a solution will be attempted. If omitted, 8 is used. Typically, larger values result in better accuracy but longer execution times, and vice versa. period specifies an estimated period. If omitted, the difference between values in list1 should be equal and in sequential order. If you specify period, the differences between x values can be unequal. ¸ regeq(x)! y1(x) ¸ NewPlot 1,1,L1,L2 ¸ ¥% „9 Done Done Note: list1 through list3 must be a variable name or c1-c99 (columns in the last data variable shown in the Data/Matrix Editor). list4 does not have to be a variable name and cannot be c1- c99. The output of SinReg is always in radians, regardless of the angle mode setting. solve( ) MATH/Algebra menu solve(equation, var) ⇒ Boolean expression solve(inequality, var) ⇒ Boolean expression Returns candidate real solutions of an equation or an inequality for var. The goal is to return candidates for all solutions. However, there might be equations or inequalities for which the number of solutions is infinite. Solution candidates might not be real finite solutions for some combinations of values for undefined variables. solve(aù x^2+bù x+c=0,x) ¸ x = bñ -4ø aø c-b 2ø a or x = ë ( bñ -4ø aø c+b) 2ø a ans(1)| a=1 and b=1 and c=1 ¸ Error: Non-real result For the AUTO setting of the Exact/Approx mode, the goal is to produce exact solutions when they are concise, and supplemented by iterative searches with approximate arithmetic when exact solutions are impractical. solve((xì a)e^(x)=ë xù (xì a),x) ¸ x = a or x =ë.567... Due to default cancellation of the greatest common divisor from the numerator and denominator of ratios, solutions might be solutions only in the limit from one or both sides. (x+1)(xì 1)/(xì 1)+xì 3 ¸ solve(entry(1)=0,x) ¸ entry(2)|ans(1) ¸ limit(entry(3),x,1) ¸ 2ø xì 2 x = 1 undef 0 For inequalities of types or >, explicit solutions are unlikely unless the inequality is linear and contains only var. solve(5xì 2 , 2x,x) ¸ x , 2/3 For the EXACT setting of the Exact/Approx mode, portions that cannot be solved are returned as an implicit equation or inequality. exact(solve((xì a)e^(x)=ë xù (xì a),x)) ¸ ex + x = 0 or x = a 878 Appendix A: Functions and Instructions