I don't like the font times new roman in Math 2D input. Can't find where to set a font anywhere except in the head at a new worksheet. But that alters immediately after executing a command. There should be a place in preferences at least to do a persistent change of font.

Hi,

I want to calculate the Jacobian of my function in terms of x,y,z. It is a Gerstner function and I need to caculate the normal of the displaced point. This can be achieved by getting the Jacobian Matrix. However when using Maple it isn't caculating it. The way I'm calling it is below. I have a vector function for tx,ty,tz:

with(VectorCalculus);
Jacobian([tx, ty, tz], [x, y]);

I'm not well versed in Maple I was wondering if anyone can help me out on how to get the Jacobian Matrix for tx,ty,tz

Best Regards

Paul

Hello everyone.

Please I am trying to obtain series expansion of the expression below in u and v up to order 30 but encounter difficulties cum maple is slow to display solution. Can I get help on the code and what to do to optimize the displayed time of maple?

Thank you in anticipation of your quick and positive responses and suggestions.

convert(series(convert(series((y[n]+((-8 h u^2 v^2-4 u^3 sin(u) h+2 sin(2 u) h u^3+2 sin(2 v) h v^3-4 v^3 h sin(v)+2 v^3 h sin(2 u+v)+2 u^3 h sin(u-2 v)+2 u^3 h sin(u+2 v)-2 v^3 h sin(2 u-v)-u^3 h sin(2 u+2 v)-v^3 h sin(2 u+2 v)-u^3 h sin(2 u-2 v)+v^3 h sin(2 u-2 v)+4 h u^3 v^2 sin(2 u)+4 h u^2 v^3 sin(2 v)-4 h u^3 v^2 sin(u-v)+4 h u^2 v^3 sin(u-v)-4 h u^3 v^2 sin(u+v)-4 h u^2 v^3 sin(u+v)+4 h u^2 v^2 cos(u)+4 h u^2 v^2 cos(2 u)+4 h u^2 v^2 cos(2 v)+4 h u^2 v^2 cos(v)-4 h u^3 v cos(2 u-v)-2 h u^2 v^2 cos(2 u-v)+2 h u v^3 cos(2 u-v)+4 h u^3 v cos(2 u+v)-2 h u^2 v^2 cos(2 u+v)-2 h u v^3 cos(2 u+v)+2 h u^3 v cos(u-2 v)-2 h u^2 v^2 cos(u-2 v)-4 h u v^3 cos(u-2 v)-2 h u^3 v cos(u+2 v)-2 h u^2 v^2 cos(u+2 v)+4 h u v^3 cos(u+2 v)+4 h u^3 v cos(u-v)+4 h u v^3 cos(u-v)-4 h u^3 v cos(u+v)-4 h u v^3 cos(u+v)+4 u sin(u) v^2 h-2 sin(2 u) h u v^2-2 sin(2 v) h u^2 v+4 v h sin(v) u^2-2 v u^2 h sin(2 u+v)-2 u v^2 h sin(u-2 v)-2 u v^2 h sin(u+2 v)+2 v u^2 h sin(2 u-v)+v u^2 h sin(2 u+2 v)+u v^2 h sin(2 u+2 v)-v u^2 h sin(2 u-2 v)+u v^2 h sin(2 u-2 v)) f[n])/(-12 u^2 v^2+4 sin(u) u^3 v^2+4 sin(2 u) u^3 v^2+4 sin(2 v) u^2 v^3+4 sin(v) u^2 v^3-2 sin(2 u+v) u^3 v^2+2 sin(2 u+v) u^2 v^3-4 sin(u-v) u^3 v^2+4 sin(u-v) u^2 v^3-4 sin(u+v) u^3 v^2-4 sin(u+v) u^2 v^3+2 sin(u-2 v) u^3 v^2+2 sin(u-2 v) u^2 v^3+2 sin(u+2 v) u^3 v^2-2 sin(u+2 v) u^2 v^3-2 sin(2 u-v) u^3 v^2-2 sin(2 u-v) u^2 v^3+8 cos(u) u^2 v^2+4 cos(2 u) u^2 v^2+4 cos(2 v) u^2 v^2+8 cos(v) u^2 v^2-2 cos(2 u-v) u^3 v-4 cos(2 u-v) u^2 v^2-2 cos(2 u-v) u v^3+2 cos(2 u+v) u^3 v-4 cos(2 u+v) u^2 v^2+2 cos(2 u+v) u v^3-2 cos(u-2 v) u^3 v-4 cos(u-2 v) u^2 v^2-2 cos(u-2 v) u v^3+2 cos(u+2 v) u^3 v-4 cos(u+2 v) u^2 v^2+2 cos(u+2 v) u v^3-cos(2 u+2 v) u^3 v+2 cos(2 u+2 v) u^2 v^2-cos(2 u+2 v) u v^3+cos(2 u-2 v) u^3 v+2 cos(2 u-2 v) u^2 v^2+cos(2 u-2 v) u v^3+4 cos(u-v) u^3 v+4 cos(u-v) u v^3-4 cos(u+v) u^3 v-4 cos(u+v) u v^3)+((-8 h u^2 v^2+8 u^3 sin(u) h-4 sin(2 u) h u^3-4 sin(2 v) h v^3+8 v^3 h sin(v)-4 v^3 h sin(2 u+v)-4 u^3 h sin(u-2 v)-4 u^3 h sin(u+2 v)+4 v^3 h sin(2 u-v)+2 u^3 h sin(2 u+2 v)+2 v^3 h sin(2 u+2 v)+2 u^3 h sin(2 u-2 v)-2 v^3 h sin(2 u-2 v)+8 h u^3 v^2 sin(u)+8 h u^2 v^3 sin(v)-4 h u^3 v^2 sin(2 u+v)+4 h u^2 v^3 sin(2 u+v)+4 h u^3 v^2 sin(u-2 v)+4 h u^2 v^3 sin(u-2 v)+4 h u^3 v^2 sin(u+2 v)-4 h u^2 v^3 sin(u+2 v)-4 h u^3 v^2 sin(2 u-v)-4 h u^2 v^3 sin(2 u-v)+8 h u^2 v^2 cos(u)+8 h u^2 v^2 cos(v)+4 h u^3 v cos(2 u-v)-4 h u^2 v^2 cos(2 u-v)-8 h u v^3 cos(2 u-v)-4 h u^3 v cos(2 u+v)-4 h u^2 v^2 cos(2 u+v)+8 h u v^3 cos(2 u+v)-8 h u^3 v cos(u-2 v)-4 h u^2 v^2 cos(u-2 v)+4 h u v^3 cos(u-2 v)+8 h u^3 v cos(u+2 v)-4 h u^2 v^2 cos(u+2 v)-4 h u v^3 cos(u+2 v)-2 h u^3 v cos(2 u+2 v)+4 h u^2 v^2 cos(2 u+2 v)-2 h u v^3 cos(2 u+2 v)+2 h u^3 v cos(2 u-2 v)+4 h u^2 v^2 cos(2 u-2 v)+2 h u v^3 cos(2 u-2 v)-8 u sin(u) v^2 h+4 sin(2 u) h u v^2+4 sin(2 v) h u^2 v-8 v h sin(v) u^2+4 v u^2 h sin(2 u+v)+4 u v^2 h sin(u-2 v)+4 u v^2 h sin(u+2 v)-4 v u^2 h sin(2 u-v)-2 v u^2 h sin(2 u+2 v)-2 u v^2 h sin(2 u+2 v)+2 v u^2 h sin(2 u-2 v)-2 u v^2 h sin(2 u-2 v)) f[n+1])/(-12 u^2 v^2+4 sin(u) u^3 v^2+4 sin(2 u) u^3 v^2+4 sin(2 v) u^2 v^3+4 sin(v) u^2 v^3-2 sin(2 u+v) u^3 v^2+2 sin(2 u+v) u^2 v^3-4 sin(u-v) u^3 v^2+4 sin(u-v) u^2 v^3-4 sin(u+v) u^3 v^2-4 sin(u+v) u^2 v^3+2 sin(u-2 v) u^3 v^2+2 sin(u-2 v) u^2 v^3+2 sin(u+2 v) u^3 v^2-2 sin(u+2 v) u^2 v^3-2 sin(2 u-v) u^3 v^2-2 sin(2 u-v) u^2 v^3+8 cos(u) u^2 v^2+4 cos(2 u) u^2 v^2+4 cos(2 v) u^2 v^2+8 cos(v) u^2 v^2-2 cos(2 u-v) u^3 v-4 cos(2 u-v) u^2 v^2-2 cos(2 u-v) u v^3+2 cos(2 u+v) u^3 v-4 cos(2 u+v) u^2 v^2+2 cos(2 u+v) u v^3-2 cos(u-2 v) u^3 v-4 cos(u-2 v) u^2 v^2-2 cos(u-2 v) u v^3+2 cos(u+2 v) u^3 v-4 cos(u+2 v) u^2 v^2+2 cos(u+2 v) u v^3-cos(2 u+2 v) u^3 v+2 cos(2 u+2 v) u^2 v^2-cos(2 u+2 v) u v^3+cos(2 u-2 v) u^3 v+2 cos(2 u-2 v) u^2 v^2+cos(2 u-2 v) u v^3+4 cos(u-v) u^3 v+4 cos(u-v) u v^3-4 cos(u+v) u^3 v-4 cos(u+v) u v^3)+((-8 h u^2 v^2-4 u^3 sin(u) h+2 sin(2 u) h u^3+2 sin(2 v) h v^3-4 v^3 h sin(v)+2 v^3 h sin(2 u+v)+2 u^3 h sin(u-2 v)+2 u^3 h sin(u+2 v)-2 v^3 h sin(2 u-v)-u^3 h sin(2 u+2 v)-v^3 h sin(2 u+2 v)-u^3 h sin(2 u-2 v)+v^3 h sin(2 u-2 v)+4 h u^3 v^2 sin(2 u)+4 h u^2 v^3 sin(2 v)-4 h u^3 v^2 sin(u-v)+4 h u^2 v^3 sin(u-v)-4 h u^3 v^2 sin(u+v)-4 h u^2 v^3 sin(u+v)+4 h u^2 v^2 cos(u)+4 h u^2 v^2 cos(2 u)+4 h u^2 v^2 cos(2 v)+4 h u^2 v^2 cos(v)-4 h u^3 v cos(2 u-v)-2 h u^2 v^2 cos(2 u-v)+2 h u v^3 cos(2 u-v)+4 h u^3 v cos(2 u+v)-2 h u^2 v^2 cos(2 u+v)-2 h u v^3 cos(2 u+v)+2 h u^3 v cos(u-2 v)-2 h u^2 v^2 cos(u-2 v)-4 h u v^3 cos(u-2 v)-2 h u^3 v cos(u+2 v)-2 h u^2 v^2 cos(u+2 v)+4 h u v^3 cos(u+2 v)+4 h u^3 v cos(u-v)+4 h u v^3 cos(u-v)-4 h u^3 v cos(u+v)-4 h u v^3 cos(u+v)+4 u sin(u) v^2 h-2 sin(2 u) h u v^2-2 sin(2 v) h u^2 v+4 v h sin(v) u^2-2 v u^2 h sin(2 u+v)-2 u v^2 h sin(u-2 v)-2 u v^2 h sin(u+2 v)+2 v u^2 h sin(2 u-v)+v u^2 h sin(2 u+2 v)+u v^2 h sin(2 u+2 v)-v u^2 h sin(2 u-2 v)+u v^2 h sin(2 u-2 v)) f[n+2])/(-12 u^2 v^2+4 sin(u) u^3 v^2+4 sin(2 u) u^3 v^2+4 sin(2 v) u^2 v^3+4 sin(v) u^2 v^3-2 sin(2 u+v) u^3 v^2+2 sin(2 u+v) u^2 v^3-4 sin(u-v) u^3 v^2+4 sin(u-v) u^2 v^3-4 sin(u+v) u^3 v^2-4 sin(u+v) u^2 v^3+2 sin(u-2 v) u^3 v^2+2 sin(u-2 v) u^2 v^3+2 sin(u+2 v) u^3 v^2-2 sin(u+2 v) u^2 v^3-2 sin(2 u-v) u^3 v^2-2 sin(2 u-v) u^2 v^3+8 cos(u) u^2 v^2+4 cos(2 u) u^2 v^2+4 cos(2 v) u^2 v^2+8 cos(v) u^2 v^2-2 cos(2 u-v) u^3 v-4 cos(2 u-v) u^2 v^2-2 cos(2 u-v) u v^3+2 cos(2 u+v) u^3 v-4 cos(2 u+v) u^2 v^2+2 cos(2 u+v) u v^3-2 cos(u-2 v) u^3 v-4 cos(u-2 v) u^2 v^2-2 cos(u-2 v) u v^3+2 cos(u+2 v) u^3 v-4 cos(u+2 v) u^2 v^2+2 cos(u+2 v) u v^3-cos(2 u+2 v) u^3 v+2 cos(2 u+2 v) u^2 v^2-cos(2 u+2 v) u v^3+cos(2 u-2 v) u^3 v+2 cos(2 u-2 v) u^2 v^2+cos(2 u-2 v) u v^3+4 cos(u-v) u^3 v+4 cos(u-v) u v^3-4 cos(u+v) u^3 v-4 cos(u+v) u v^3)+((-6 u^2 h^2-6 v^2 h^2-4 cos(2 u) h^2 u^2 v^2-4 cos(2 v) h^2 u^2 v^2+8 v^2 u^2 h^2 cos(u-v)+8 v^2 u^2 h^2 cos(u+v)+8 u sin(u) v^2 h^2+8 sin(2 u) h^2 u v^2+8 sin(2 v) h^2 u^2 v+8 v h^2 sin(v) u^2+4 v u^2 h^2 sin(2 u+v)-4 u v^2 h^2 sin(2 u+v)+8 v u^2 h^2 sin(u-v)-8 sin(u-v) h^2 u v^2-8 v u^2 h^2 sin(u+v)-8 sin(u+v) h^2 u v^2+4 v u^2 h^2 sin(u-2 v)+4 u v^2 h^2 sin(u-2 v)-4 v u^2 h^2 sin(u+2 v)+4 u v^2 h^2 sin(u+2 v)-4 v u^2 h^2 sin(2 u-v)-4 u v^2 h^2 sin(2 u-v)-4 u v h^2 cos(2 u-v)+4 u v h^2 cos(2 u+v)-4 u v h^2 cos(u-2 v)+4 u v h^2 cos(u+2 v)-2 u v h^2 cos(2 u+2 v)+2 u v h^2 cos(2 u-2 v)+8 cos(u-v) h^2 u v-8 cos(u+v) h^2 u v-8 v^2 u^2 h^2+8 h^2 cos(u) u^2-2 cos(2 u) h^2 u^2+6 cos(2 u) h^2 v^2+6 cos(2 v) h^2 u^2-2 cos(2 v) h^2 v^2+8 h^2 cos(v) v^2-4 v^2 h^2 cos(2 u-v)-4 v^2 h^2 cos(2 u+v)-4 u^2 h^2 cos(u-2 v)-4 u^2 h^2 cos(u+2 v)+u^2 h^2 cos(2 u+2 v)+v^2 h^2 cos(2 u+2 v)+u^2 h^2 cos(2 u-2 v)+v^2 h^2 cos(2 u-2 v)) g[n])/(-12 u^2 v^2+4 sin(u) u^3 v^2+4 sin(2 u) u^3 v^2+4 sin(2 v) u^2 v^3+4 sin(v) u^2 v^3-2 sin(2 u+v) u^3 v^2+2 sin(2 u+v) u^2 v^3-4 sin(u-v) u^3 v^2+4 sin(u-v) u^2 v^3-4 sin(u+v) u^3 v^2-4 sin(u+v) u^2 v^3+2 sin(u-2 v) u^3 v^2+2 sin(u-2 v) u^2 v^3+2 sin(u+2 v) u^3 v^2-2 sin(u+2 v) u^2 v^3-2 sin(2 u-v) u^3 v^2-2 sin(2 u-v) u^2 v^3+8 cos(u) u^2 v^2+4 cos(2 u) u^2 v^2+4 cos(2 v) u^2 v^2+8 cos(v) u^2 v^2-2 cos(2 u-v) u^3 v-4 cos(2 u-v) u^2 v^2-2 cos(2 u-v) u v^3+2 cos(2 u+v) u^3 v-4 cos(2 u+v) u^2 v^2+2 cos(2 u+v) u v^3-2 cos(u-2 v) u^3 v-4 cos(u-2 v) u^2 v^2-2 cos(u-2 v) u v^3+2 cos(u+2 v) u^3 v-4 cos(u+2 v) u^2 v^2+2 cos(u+2 v) u v^3-cos(2 u+2 v) u^3 v+2 cos(2 u+2 v) u^2 v^2-cos(2 u+2 v) u v^3+cos(2 u-2 v) u^3 v+2 cos(2 u-2 v) u^2 v^2+cos(2 u-2 v) u v^3+4 cos(u-v) u^3 v+4 cos(u-v) u v^3-4 cos(u+v) u^3 v-4 cos(u+v) u v^3)+((6 u^2 h^2+6 v^2 h^2+4 cos(2 u) h^2 u^2 v^2+4 cos(2 v) h^2 u^2 v^2-8 v^2 u^2 h^2 cos(u-v)-8 v^2 u^2 h^2 cos(u+v)-8 u sin(u) v^2 h^2-8 sin(2 u) h^2 u v^2-8 sin(2 v) h^2 u^2 v-8 v h^2 sin(v) u^2-4 v u^2 h^2 sin(2 u+v)+4 u v^2 h^2 sin(2 u+v)-8 v u^2 h^2 sin(u-v)+8 sin(u-v) h^2 u v^2+8 v u^2 h^2 sin(u+v)+8 sin(u+v) h^2 u v^2-4 v u^2 h^2 sin(u-2 v)-4 u v^2 h^2 sin(u-2 v)+4 v u^2 h^2 sin(u+2 v)-4 u v^2 h^2 sin(u+2 v)+4 v u^2 h^2 sin(2 u-v)+4 u v^2 h^2 sin(2 u-v)+4 u v h^2 cos(2 u-v)-4 u v h^2 cos(2 u+v)+4 u v h^2 cos(u-2 v)-4 u v h^2 cos(u+2 v)+2 u v h^2 cos(2 u+2 v)-2 u v h^2 cos(2 u-2 v)-8 cos(u-v) h^2 u v+8 cos(u+v) h^2 u v+8 v^2 u^2 h^2-8 h^2 cos(u) u^2+2 cos(2 u) h^2 u^2-6 cos(2 u) h^2 v^2-6 cos(2 v) h^2 u^2+2 cos(2 v) h^2 v^2-8 h^2 cos(v) v^2+4 v^2 h^2 cos(2 u-v)+4 v^2 h^2 cos(2 u+v)+4 u^2 h^2 cos(u-2 v)+4 u^2 h^2 cos(u+2 v)-u^2 h^2 cos(2 u+2 v)-v^2 h^2 cos(2 u+2 v)-u^2 h^2 cos(2 u-2 v)-v^2 h^2 cos(2 u-2 v)) g[n+2])/(-12 u^2 v^2+4 sin(u) u^3 v^2+4 sin(2 u) u^3 v^2+4 sin(2 v) u^2 v^3+4 sin(v) u^2 v^3-2 sin(2 u+v) u^3 v^2+2 sin(2 u+v) u^2 v^3-4 sin(u-v) u^3 v^2+4 sin(u-v) u^2 v^3-4 sin(u+v) u^3 v^2-4 sin(u+v) u^2 v^3+2 sin(u-2 v) u^3 v^2+2 sin(u-2 v) u^2 v^3+2 sin(u+2 v) u^3 v^2-2 sin(u+2 v) u^2 v^3-2 sin(2 u-v) u^3 v^2-2 sin(2 u-v) u^2 v^3+8 cos(u) u^2 v^2+4 cos(2 u) u^2 v^2+4 cos(2 v) u^2 v^2+8 cos(v) u^2 v^2-2 cos(2 u-v) u^3 v-4 cos(2 u-v) u^2 v^2-2 cos(2 u-v) u v^3+2 cos(2 u+v) u^3 v-4 cos(2 u+v) u^2 v^2+2 cos(2 u+v) u v^3-2 cos(u-2 v) u^3 v-4 cos(u-2 v) u^2 v^2-2 cos(u-2 v) u v^3+2 cos(u+2 v) u^3 v-4 cos(u+2 v) u^2 v^2+2 cos(u+2 v) u v^3-cos(2 u+2 v) u^3 v+2 cos(2 u+2 v) u^2 v^2-cos(2 u+2 v) u v^3+cos(2 u-2 v) u^3 v+2 cos(2 u-2 v) u^2 v^2+cos(2 u-2 v) u v^3+4 cos(u-v) u^3 v+4 cos(u-v) u v^3-4 cos(u+v) u^3 v-4 cos(u+v) u v^3)),u=0,32),polynom),v=0,32),polynom);

Consider the following:

with(Physics):
Setup(anticommutativeprefix = psi):
psi^2,psi__1^2,psi__a^2;   # double underscores

Why does the square of psi__a (double underscore) not vanish as well? Or, perhaps, more to the point: why is psi__a not as well considered Grassmann-odd by Maple? Is this counter-intuitive behaviour intentional, or is it a bug?

I'm trying to numerically solve the differential equation: y' = -2xy + 1. Naturally, I come across the non-elementary integral of e^(x^2). By hand, I used a 2nd degree MacLaurin polynomial to get y = xe^(-x^2) + x^3/3e^(-x^2)+x^3/6e(-x^2). 

How do I use Maple to numerically solve this, with step sizes of h=0.1 and h=0.05 and plot them?

I have a csvfile that contains text and real numbers. As it contains text there must be some trick to force maple read only floating points and then plot it.

The below works fine if the file doesn't contain text:

 A:= ExcelTools :- Import("C:\\Users\\path\\filename.xls");

p1 := plots:-pointplot(A, style = line, linestyle = dash, color = blue);

plots[display]([p1]);

Thanks,

I'm trying to calculate the trajectory of a 3-particle system. I defined my parameters. Wrote a do loop. Got the number of iterations I expected. But when I look at the tables of position for each particle after I run the loop, the trajectory only changes for the first iteration, then it stays the same. In other words, it shows that the particle moved slightly after the first increment of time, but thereafter it doesn't move.

HI experts,

fibonacci_sequence_with_coefficient.pdf

Is there a Last name associated with a double 'hailstone problem' with variable integer coefficients?

Just curious.

Regards,

Matt

I am trying to solve system consisting of two equations and two unknowns. I tried solve but it gives back unevaluated then I tried fsolve which gives an error.
 

Download equations_solve.mw

how can i solve this inequality in maple ? i want to solve y in terms of x and then plot y,x
could anyone help? tnx in advance

Download solveee.mw

I need to install FGb package into Maple, the instruction is here:http://www-polsys.lip6.fr/~jcf/FGb/FGb/darwin_i386/index.html

But after I tried so many times, I am still unable to install the package(the instruction is a little bit unclear).  Basically, I downloaded the file FGb-1.61.macosx.tar.gz  in my home directory and unzip it. I created .mapleinit and put these commands inside:

libname:= “Macintosh HD/Users/jinhuilitar xvfz/tmp/FGb-1.61.macosx.tar.gz”/FGblib, libname:

I put .mapleinit in the home directory as well. But after I did all of these followed the instructions, I opened Maple and type with(FGb), it says FGb does not exist. I am so desperate, I have tried two days to solve this simple problem, please help.

I am trying to evaluate the following equation analytically but it gives back unevaluated then I tried fsolve which giving me the answer but I need phi greater than  zero. How can I avoid negative values. Also Is there any ways to solve it analytically. 

Please see the attachment

Download ANALYTIC.mw

Dear all,

I'd like to make a logplot with the option axes = boxed . 

let's say:

plot(x^3, x = 0 .. 2, axes = boxed)

But I need the tickmarks and numbers on both y-axes.

Could you tell me how to do this?

See the below. The two answers should be identical, but they are not.

Input:

Output:

I have an excel macro file (enable macro or save as macro and run) in which the colour of cells keep changing by a macro named macro2.

Can we achieve it in maple or maple sim?

Any one please suggest a way for me to try out.

COLOR1.xlsx

Thanks.

Ramakrishnan V