maxima軟體使用的問題
請問要如何利用maxima數學軟體解以下問題：１、不等式求解，例如2x+5<8
２、絕對值求解，例如|3x-7|=8
３、有理化分母，例如1/(sqrt(3)+sqrt(2))會變成sqrt(3)-sqrt(2)
感謝您的回答！ [img]http://www.permucode.com/maxima/wxm_ul.gif[/img][img]http://www.permucode.com/maxima/wxm_uc.gif[/img][img]http://www.permucode.com/maxima/wxm_ur.gif[/img]
[color=green]不等式求解[/color]
[color=red](%i1)[/color] [color=blue]load("solve_rat_ineq.mac");[/color]
[color=red](%o1)[/color] C:/PROGRA~1/MAXIMA~1.2/share/maxima/5.19.2/share/contrib/solve_rat_ineq.mac
[color=green]解一次不等式[/color]
[color=red](%i2)[/color] [color=blue]solve_rat_ineq(2*x+5<8);[/color]
[color=red](%o2)[/color] \( \displaystyle [ [x<\frac{3}{2}] ] \)
[color=green]解二次不等式[/color]
[color=red](%i3)[/color] [color=blue]solve_rat_ineq(x^2+3*x+2>=0);[/color]
[color=red](%o3)[/color] \( \displaystyle [ [x \le -2],[x \ge -1] ] \)
[color=green]解高次不等式[/color]
[color=red](%i4)[/color] [color=blue]solve_rat_ineq((x-2)^3*(x+5)^5*(x-1)>0);[/color]
[color=red](%o4)[/color] \( \displaystyle [ [x>-5,x<1],[x>2] ] \)
[color=green]絕對值求解[/color]
[color=red](%i5)[/color] [color=blue]load("fourier_elim");[/color]
[color=red](%o5)[/color] C:/PROGRA~1/MAXIMA~1.2/share/maxima/5.19.2/share/contrib/fourier_elim/fourier_elim.lisp
[color=green]解絕對值方程式[/color]
[color=red](%i6)[/color] [color=blue]fourier_elim([abs(3*x-7)=8],[x]);[/color]
[color=red](%o6)[/color] \( \displaystyle [x=5] \) or \( [x=-\frac{1}{3}] \)
[color=green]解絕對值不等式
[url=http://www.ma.utexas.edu/pipermail/maxima/2008/011599.html]http://www.ma.utexas.edu/pipermail/maxima/2008/011599.html[/url][/color]
[color=red](%i7)[/color] [color=blue]fourier_elim([abs(x - abs(5-x)) < 1],[x]);[/color]
[color=red](%o7)[/color] \( \displaystyle [2<x,x<3] \)
[color=green]有理化分母
資料可參考[url=http://cadadr.org/maxima/faq.html#Notations_Evaluation_Simplification]http://cadadr.org/maxima/faq.htm ... tion_Simplification[/url] 第二個問題
I have two expressions, test1=1/sqrt(2) and test2=2*sqrt(2-sqrt(2))/sqrt(2)...[/color]
[color=red](%i8)[/color] [color=blue]algebraic : true;[/color]
[color=red](%o8)[/color] true
[color=red](%i9)[/color] [color=blue]ratsimp(1/(sqrt(3) + sqrt(2)));[/color]
[color=red](%o9)[/color] \( \sqrt{3}-\sqrt{2} \)
[color=red](%i10)[/color] [color=blue]ratsimp(1/(5^(1/3) - 2^(1/3)));[/color]
[color=red](%o10)[/color] \( \displaystyle \frac{5^{2/3}+2^{1/3}5^{1/3}+2^{2/3}}{3} \)
[img]http://www.permucode.com/maxima/wxm_ll.gif[/img][img]http://www.permucode.com/maxima/wxm_lc.gif[/img][img]http://www.permucode.com/maxima/wxm_lr.gif[/img]
其實很多功能help都沒提到，自己要常逛Mailing Lists
連結已失效h ttp://www.math.utexas.edu/pipermail/maxima/2009/
才知道有哪些指令可以使用 感謝您的分享，謝謝！
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