## Another example of a real manipulator model

by: Maple 17

A manipulator, in which 3 degrees of freedom are provided by changing the length of the links and one degree of freedom, is provided by turning. Only 4 degrees of freedom. Solved using Draghilev's method. In one case, the length of the manipulator link could be expressed through the value of the 3rd coordinate. The lengths of the other two links are considered generalized coordinates. In this case, it is still obtained polynomial equations, as for the usual coordinates.
I was asked to make an example of the movement of such a manipulator using Maple. (Automatically, this is an example of solving an inverse kinematics problem.)
four_degrees_of_freedom_from_Sabina.mw

## How to generate a string from a given number?...

Hi friends, I have a problem. From a given number 'k' I want to generate a string 's' with the first naturals before the number k. Like this:

k := 5;

s := "01234";

I want to use the above in the following command:

(parse~@Vector[row]@StringTools:-Explode)~(StringTools:-Generate(k,s));

Thank you.

## How can I multiply the elements of a set by taking...

Hi friends, I have a set of polynomials, 'a', and I want to calculate the product of all possible combinations by taking 3 elements at a time. Like this:

a := {x+1,x+2,x^2+1,x^2+x+2}
a[1]*a[2]*a[3]
a[1]*a[2]*a[4]
a[1]*a[3]*a[4]
a[2]*a[3]*a[4]

I have a larger 'a' set so I was looking for a simple method to perform these operations.
Thank you.

## Error, (in fproc) unable to store 'HFloat(732.0925...

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/Coefficients.mw .

## Help to obtain solution...

Hi

I am a research scholar in mathematics

I am currently working on fluid mechanics

I wish to obtain the solution given in the research article

In the paper they mentioned that " Shooting method" is used.

Please anyone help me regarding this topic

File : 1.pdf

Thank you

## Dual branch solution to ode...

How to obtain a dual branch solution in Maple.

Is there any specific method is there to get these type of solutions.

I have attached the document.

Thank you.

## Dual branch solution to ODE...

Hi sir, I hope everyone are good in Covid situation.

I wish to obtain the dual branch solution as given in the Article.

The article is here. akbar2014_(1).pdf

Thank you..

## Composition of mappimngs...

Hi!

Assume we have the following mappings:

f[1] := proc (x) options operator, arrow; piecewise(0 <= t and t <= 1/2, (1/2)*x(2*t), 1/2 < t and t <= 1, (1/2)*x(2*t-1)+1/2) end proc

f[2] := proc (x) options operator, arrow; t*x(t) end proc

Note that the argument are mappings (i.e, x(t) is a continuous function defined on [0,1]). Given an array with values in {1,2}, for instance [1,1,2],and a function h (say, h:=t->t) How can we define the composition mapping f[1]f[1]f[2](h)?

In general, I want to plot the composition mapping f[i1]f[i2]...f[iN](h), i1,i2,...,iN being 1 or 2 and h a given continuous function defined on [0,1]

## Example with 5 focal ellipse...

Nothing special, just out of boredom.
Learned about the existence of multifocal ellipses. I stopped at the option with 5 focuses and made the corresponding equation, when the sum of the distances from each point of the ellipse to these five points is constant. If we try to get rid of the radicals, we get an equation whose graph will contain branches that do not meet the condition of the constancy of the sum of the distances from points on the curve to our 5 fixed points. In my case (as usual) Draghilev's method is used to show that each point on the curve is at a fixed distance from 5 stationary points.
Is there a mathematical way to show the same thing? I think not, maybe some other numerical method. So then: is there an easier way? It is clear that the number of focuses can be larger.
FOCI_5_EXAMPLE.mw

## compute determinant ...

hello,

so i'm trying to compute the determinant of a Matrix(7*7) to obtain a single equation ( dispersion equation ) that i need to use for further investigation.

But unfortunately for a certain value Bi=1(i need this value ) i get 0.it would be nice if some can help me

Determinant.mw

## how to use fsolve?...

hello dear maple maple users.

I'm trying to solve this system of equations using fsolve but i'm geting this unrealistic curve.

I don't know exactly how, can help me understand!!!!!.

fsolve.mw

## plot heteroclinic and homoclinic ...

Dear all

heteroclinic_homoclinic_orbits.mw

Many thanks

## two different results with same method...Problem...

Dear all
I solve a nonlinear equation using Newton's method

Using

https://planetcalc.com/7748/
and maple code I get two different results from sixth iteration  ... What's the problem... I can not understand which one is correct.

Newton.mw

## Intersection between two curves ...

Dear all

I have two equations

the first one: f1(x)=r*x;

and the second one: f29x)=exp(x);

where r in a real number.

Using maple i try to determine the number of solutions of f1(x)=f2(x) for different value of r.
Using maple,
for r <0 its obvious we have only one solution, but for r =0; No solution
My problem for r>0, using maple I trided to plot different curve but I can not conclude, the number of  roots for each value of r

Number_solution.mw

## Error, invalid neutral operator...

Dear all

How can I plot vector using maple

Maple return the following error

Error, invalid neutral operator
plotvector.mw

Thank you

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