Here we see the projection of a vector onto another using different concepts ranging from linear algebra to vector calculus. Implemented components thus seen in three-dimensional space.

Proyecciones_Vectoriales.mw

(in spanish)

L.Araujo C.

plot([Y2(t),-X2(t),0...100],numpoints=100);

Error, (in plot) procedure expected, as range contains no plotting variable

Here is a serious achievement of the Roots command:

Student[Calculus1]:-Roots(2^x+3^x+6^x-x^2);

                              [-1]

plot(2^x+3^x+6^x-x^2, x = -6 .. 2, gridlines = false);





Download Roots.mw

The solve command also does the job here:

sol := solve(2^x+3^x+6^x-x^2);

allvalues(sol);


evalf(%):

The RealDomain:-solve command fails here.

I wonder how Maple solves it. It would be kind of Maple developers and experts to explain that.

PS. I tried printlevel:=10, but understood the output a little.

Hello

I want to solve this equation in Maple, but I can't - please help me.

60=18+69*e^(-0,0491t)

Thanks.

Hi, i got a litlle problem with fromats, i m realy bad at this.
i got procedure 'getone(z::list)' i was execute it like this  
>getone([seq(lineP[i], i = 1 .. pm)]::list)
where lineP is 

>pm := 3;
>rollx := rand(98.0 .. 102.0); rolly := rand(-1.0 .. 5);
>rolll := rand(.5 .. 1.0); rollf := rand(0. .. evalf(2*Pi));
>rollm := rand(0. .. 20.0);

>for i to pm do lineP[i] := [rollx(), rolly(), rolll(), rollf(), rollm()] end do;

it's pm times of z:=[rollx(), rolly(), rolll(), rollf(), rollm()] ::list

and i need make optimization work for any pm=1..100; with rabdomly generated iteration point as above.

The main queston is how make minimize as below
Minimize(z,variables=[z],   initialpoint={z=[seq(lineP[i], i = 1 .. pm)]},iterationlimit=1000,optimalitytolerance=0.01)

work with z::list kind of 

[[100.7798614, 1.109653266, 0.9840371500, 4.257816686, 9.737110573][100.0135459, 0.887539481, 0.9144164697, 3.980093624, 7.343851161][100.0661308, 3.724268229, 0.5020544909, 2.052134822, 14.37408543]]

I find fsolve() to be curiously unstable. Some of the behaviour I can guess at, but other parts are not as clear.

Define a function.

P := x->fsolve(exp(-(1/100)*t^2)*cos(2*t),t=x):

plot(P,4..5,smartview=false);

I set up a worksheet with embedded components in Maple 18. I am now trying to use the worksheet with Maple 2015. The GetProperty( ) procedure in DocumentTools cannot find a number of kinds of the embedded components (perhaps all kinds).

Why would this happen, and how can I fix it?

Hello

I have a simple list:

xlist := [150, 250, 500, 800, 1300, 2500, 5000]:

ylist := [.3, .5, .8, 1.0, 1.2, 1.4, 1.6]:

where after i said x:=plot(xlist,ylist);

What I want to do is ask maple" At what x value does the graph intersect with 1.5 on the y axis" or "at what y value does the graph intersect with 3000 on the x axis". 

The data points are just that, I've been looking for commands to ask these questions but have been without luck. You don't need to give me the answer if you can point me to somewhere where this information is written, that would be very helpful!

Thank you.

Elast2.mw

Here the potential of maple 2015 to the quantitative study of the decomposition of a vector table is shown in two dimensions. Application for the exclusive use of engineering students, which was implemented with embedded components.

Atte.

Lenin Araujo Castillo

Archivo Corregido:  Decomposición_Vectorial_Corregido.mw

Hello!

Is it possible convert some equations in R² (ellipse, hyperbola) to polar coordinates using Maple? And a regular  object in R³ like a sphere, a cylinder or a cube could be converted from cartesian coordinates to polar coordinates?

Thank you so much.

Hi everybody,

i'm trying to do an elliptic regularization but i don't know how to proceed ?

Is someone know how to achieve to do that  with an example ?

thanks a lot !

PS: i know only how to do a linear regularisation.

I am considering the following PDE and I am getting an error, please suggest a better numerical method than the default one used in maple:

the PDE is:

u_{xx}u^3 - sin(xt)u_{tt} = u(x,t)

u(x, 0) = sin(x), (D[2](u))(x, 0) = cos(x), u(0, t) = cos(t), (D[1](u))(0, t) = sin(t)

Please suggest me a method that will also work for the following PDEs:

u^m* u_{xx} - sin(xt)u_{tt} = u^n

for m,n =0,1,2,3,... for the cases m=n and m not equal n

Here's the code:

Download nonlinear_hyperbolic_PDE.mw

HI there,

I m getting an error message . Could someone help me

v1 := int(cos(tau)*g(tau), tau = t0 .. t);
int(cos(tau) g(tau), tau = t0 .. t)
v2 := int(-sin(tau)*g(tau), tau = t0 .. t);
int(-sin(tau) g(tau), tau = t0 .. t)
soln := C1*y1+C2*y2+v1*y1+v2*y2;
C1 y1 + C2 y2 + (int(cos(tau) g(tau), tau = t0 .. t)) y1

+ (int(-sin(tau) g(tau), tau = t0 .. t)) y2
soln := combine(soln);
(int(-y2 sin(tau) g(tau) + y1 cos(tau) g(tau), tau = t0 .. t))

+ C1 y1 + C2 y2
eval(soln, t = t0) = 0, eval(diff(soln, t), t = t0);
C1 y1 + C2 y2 = 0, -y2 sin(t0) g(t0) + y1 cos(t0) g(t0)
solve({%}, {C1, C2});
soln := eval(soln, %);
Error, invalid input: eval received (C1*y1+C2*y2 = 0, -y2*sin(t0)*g(t0)+y1*cos(t0)*g(t0)), which is not valid for its 2nd argument, eqns