3 ms·

because nobody knows maxima, some things to try. also plot2d/plot3d work, so that's pretty neat. the whole thing is powered by https://ecl.common-lisp.dev https

because nobody knows maxima, some things to try. also plot2d/plot3d work, so that's pretty neat. the whole thing is powered by https://ecl.common-lisp.dev https://ecl.common-lisp.dev and the op announcement is here https://mailman3.common-lisp.net/hyperkitty/list/ecl-devel@common-lisp.net/thread/T64S5EMVV6WHDPKWZ3AQHEPO3EQE2K5M/ https://mailman3.common-lisp.net/hyperkitty/list/ecl-devel@c... :lisp (+ 2 2) solve(f(x)^2-1,x); integrate(x^2,x); 2^1024; factor(30!); a:1 b:2 a+b; sqrt(a^2+b^2); expr: log((x+2)*(x-2))+log(x); ratsimp(expr); fullratsimp(expr); trigsimp(2*cos(x)^2 + sin(x)^2); solve(x^3=1,x); diff(sin(x), x); float([%e,%pi,%phi,%gamma]); f(x):=x^2; f(10); taylor(sin(x),x,0,5); plot2d(x^2-x+3,[x,-10,10]); plot2d([x^2, x^3, x^4 -x +1] ,[x,-10,10]); f(x,y):= sin(x) + cos(y); plot3d(f(x,y), [x,-5,5], [y,-5,5]);

michaelsbradley 2y ago
Thank you! As someone with no prior Maxima experience, those were some great starting points for me to learn and explore! Note `plot3d(...);` doesn't seem to work: the output image is missing/broken.
- williamstein 2y ago
  plot3d did work for me (on Chrome). Impressive.
- r85804306610 2y ago
  you probably didn't define the function, f(x,y), which is the line before plot3d. it's a slightly buggy behavior
  - michaelsbradley 2y ago
    Ah, yes, can reproduce the problem if f(x,y) isn't defined. Also, if f(x,y) is "broken" (e.g. by a typo like syn instead of sin) then the effect is the same.
seanhunter 2y ago
One thing I would add for people who are new to this is you can do ??something; to get the internal help. So say I want to know how to solve ODEs in maxima, do ??ode; …and you’ll get help. It generally does a search and presents a numbered list of options and you’ll want to type a number and a semicolon.
- seanhunter 2y ago
  Some other useful things: 1)solve to solve a system and “variable: expression” will assign that expression to that variable. You can then substitute the results into a later expression using a “,”. So you might do solns:solve([x+3*y=5,5*x-2*y=4],[x,y]); z:%e^(x,y),solns; That will solve the system and then substitute those solutions into the expression for z. 2)pi, e, and the imaginary unit are called %pi, %e and %i respectively. 3)The symbolic solver is a lot less powerful than mathematica but you can do load(“to_poly_solve”); To get a polynomial solver that will at least get you all the roots of polynomials and does better on most trigonometric equations. load(“drawdf”); Is useful for drawing vector fields, phase portraits and that type of thing. 4) you can use a single quote to delay evaluation of something. Like say you want to write a differential equation and you don’t want it to actually try to evaluate the derivative inline, you can write something like osc:‘diff(x,t,2) + r*’diff(x,t) + k*x = p*cos(omega\*t); …for a forced harmonic oscilator. Or whatever. This is useful if you want to mess with the expression a bit before you try to solve the expression (eg doing substitutions or whatnot).*
deleted 2y ago
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michaelsbradley 2y ago

Thank you! As someone with no prior Maxima experience, those were some great starting points for me to learn and explore! Note `plot3d(...);` doesn't seem to work: the output image is missing/broken.

williamstein 2y ago
plot3d did work for me (on Chrome). Impressive.
r85804306610 2y ago
you probably didn't define the function, f(x,y), which is the line before plot3d. it's a slightly buggy behavior
- michaelsbradley 2y ago
  Ah, yes, can reproduce the problem if f(x,y) isn't defined. Also, if f(x,y) is "broken" (e.g. by a typo like syn instead of sin) then the effect is the same.

seanhunter 2y ago

One thing I would add for people who are new to this is you can do ??something; to get the internal help. So say I want to know how to solve ODEs in maxima, do ??ode; …and you’ll get help. It generally does a search and presents a numbered list of options and you’ll want to type a number and a semicolon.

seanhunter 2y ago
Some other useful things: 1)solve to solve a system and “variable: expression” will assign that expression to that variable. You can then substitute the results into a later expression using a “,”. So you might do solns:solve([x+3*y=5,5*x-2*y=4],[x,y]); z:%e^(x,y),solns; That will solve the system and then substitute those solutions into the expression for z. 2)pi, e, and the imaginary unit are called %pi, %e and %i respectively. 3)The symbolic solver is a lot less powerful than mathematica but you can do load(“to_poly_solve”); To get a polynomial solver that will at least get you all the roots of polynomials and does better on most trigonometric equations. load(“drawdf”); Is useful for drawing vector fields, phase portraits and that type of thing. 4) you can use a single quote to delay evaluation of something. Like say you want to write a differential equation and you don’t want it to actually try to evaluate the derivative inline, you can write something like osc:‘diff(x,t,2) + r*’diff(x,t) + k*x = p*cos(omega\*t); …for a forced harmonic oscilator. Or whatever. This is useful if you want to mess with the expression a bit before you try to solve the expression (eg doing substitutions or whatnot).*

deleted 2y ago

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