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--- lehrkraefte:blc:math:maxima-cheatsheet [2019/04/28 17:46]
Ivo Blöchliger created
+++ lehrkraefte:blc:math:maxima-cheatsheet [2024/05/03 09:06] (current)
Ivo Blöchliger [Using results of solve for further computations]
@@ Line 20: / Line 20: @@
 (%o11)        [x = ---------------------------------------------]
                                       log(2)
+</code>
+Und sonst halt mit ''find_root (expr, x, a, b)''
+===== Output stuff like Maxima Input =====
+<code txt>
+(%i14) x^2/3;
+                                      x
+(%o14)                                --
+(%i15) string(%);
+(%o15)                               x^2/3
 </code>
+===== Derivative as a new function (force evaluating the differentiation) =====
+<code txt>
+f(x):=a*2^((x-2)/10)+2;
+define(ff(x), diff(f(x),x));
+</code>
+===== Using results of solve for further computations =====
+<code txt>
+sol:solve(x^2-x-1=0,x);
+x^2-x, sol[2];
+expand(%);
+val:x,sol[2];
+/* Usable inside an expresseion: */
+subst(sol[2],x);
+</code>
+Or even better:
+<code text>
+rhs(sol[2]);
+map(rhs, sol);
+</code>
+===== Nummerically solve equations =====
+[[https://maxima.sourceforge.io/docs/manual/maxima_116.html|Maxima doc]]
+<code txt>
+find_root(sin(2*x)=x,x,0.5,2);
+</code>
+===== Vector operations =====
+<code maxima>
+load("vect");
+cross(u,v):=express(u ~ v);
+norm(a):=sqrt(a.a);
+area(a,b,c):=1/2*norm(cross(b-a,c-a));
+vec2eq(eq):=makelist(rhs(eq)[i]=lhs(eq)[i], i, 1, length(rhs(eq)));
+</code>
+===== Binomial Distribution =====
+<code maxima>
+load("distrib");
+pdf_binomial (25,500,0.03);
+cdf_binomial (25,500,0.03);
+</code>