maxima.options(engine.format = "latex", engine.label = TRUE, inline.format = "inline", inline.label = FALSE)
L: sqrt(1 - 1/R^2); assume(R > 0); 'integrate(x, x, 0, L) = integrate(x, x, 0, L);
'L = L; 'integrate(x, x, 0, 'L) = integrate(x, x, 0, L);
This is an inline test: r maxima.inline("'L = L;")
.
sqrt(3/4);
```{maxima, output.var = "moo"} f(x) := e^(x^2)$ diff(f(x), x);
```{maxima} %;
```{maxima, output.var = "moo"} log(%o1);
```r moo eval(moo[[1]], list(R = 12))
```{maxima, fig.cap = "plot2d()", fig.align="center", fig.show='hide'} r: (exp(cos(t))-2cos(4t)-sin(t/12)^5)$ plot2d([parametric, rsin(t), rcos(t), [t,-8%pi,8%pi]]);
```{maxima, fig.cap = "plot3d()", fig.align="center", fig.show='hide'} plot3d(log (x^2*y^2), [x, -2, 2], [y, -2, 2],[grid, 29, 29], [palette, [gradient, red, orange, yellow, green]], color_bar, [xtics, 1], [ytics, 1], [ztics, 4], [color_bar_tics, 4]);
```{maxima, fig.cap = "draw()", fig.align="center", fig.show='hide'} example1: gr3d (title = "Controlling color range", enhanced3d = true, color = green, cbrange = [-3,10], explicit(x^2+y^2, x,-2,2,y,-2,2)) $
example2: gr3d (title = "Playing with tics in colorbox", enhanced3d = true, color = green, cbtics = {["High",10],["Medium",05],["Low",0]}, cbrange = [0, 10], explicit(x^2+y^2, x,-2,2,y,-2,2))$
example3: gr3d (title = "Logarithmic scale to colors", enhanced3d = true, color = green, logcb = true, logz = true, palette = [-15,24,-9], explicit(exp(x^2-y^2), x,-2,2,y,-2,2))$
draw( dimensions = [500,1500], example1, example2, example3)$
```{maxima, fig.cap = "draw2d()", fig.align="center", fig.show='hide'} draw2d( dimensions = [1000, 1000], proportional_axes = xy, fill_color = sea_green, color = aquamarine, line_width = 6, ellipse(7,6,2,3,0,360))$
```{maxima, fig.cap = "draw3d()", fig.align="center", fig.show='hide'} draw3d( dimensions = [1000, 1000], surface_hide = true, axis_3d = false, proportional_axes = xyz,
color = blue, cylindrical(z,z,-2,2,a,0,2*%pi),
color = brown, cylindrical(3,z,-2,2,az,0,%pi),
color = green, cylindrical(sqrt(25-z^2),z,-5,5,a,0,%pi))$
```r pft <- list.files(pattern = "(?:plot|draw)(2d|3d)?-[[:print:]]{6}\\.png", full.names = TRUE) if(length(pft) == 5L) { paste0("OK") } else { paste0("Error: Unexpected number of Maxima plots: ", paste0(pft, collapse = ", ")) } if(length(pft)) { if(all(as.logical(file.size(pft)))) { paste0("OK") } else { errfiles <- pft[file.size(pft) == 0] paste0("Error: Maxima plot file(s) ", paste0(errfiles, collapse = ", "), "are empty.") } }
area(dist) := integrate(dist, x, minf, inf)$ mean(dist) := area(dist*x)$ EX2(dist) := area(dist*x^2)$ variance(dist) := EX2(dist) - mean(dist)^2$ mgf(dist) := area(dist*%e^(x*t))$
normal(x) := (2*%pi*sigma^2)^(-1/2) * exp(-(x-mu)^2/(2*sigma^2)); assume(sigma > 0)$ area(normal(x)); mean(normal(x)); variance(normal(x)); mgf(normal(x));
laplace(x) := (2*b)^-1 * exp(-abs(x - mu)/b); load("abs_integrate")$ assume(b > 0)$ area(laplace(x))$ mean(laplace(x))$ variance(laplace(x))$
expo(x) := unit_step(x) * lambda * exp(-lambda * x); assume(lambda > 0)$ area(expo(x)); mean(expo(x)); variance(expo(x));
m: matrix([0, 1, a], [1, 0, 1], [1, 1, 0]); transpose(m); determinant(m); f: invert(m), detout; m . f; expand(%); factor(%);
x: 1234; y: 2345;
if x > y then x else y;
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