Maple 17 Questions and Posts

These are Posts and Questions associated with the product, Maple 17

A way of cutting holes on an implicit plot. This is from the field of numerical parameterization of surfaces. On the example of the surface  x3 = 0.01*exp (x1) / (0.01 + x1^4 + x2^4 + x3^4)  consider the approach to producing holes. The surface is locally parameterized in some suitable way and the place for the hole and its size are selected. In the first example, the parametrization is performed on the basis of the section of the initial surface by perpendicular planes. In the second example, "round"  parametrization. It is made on the basis of the cylinder and the planes passing through its axis. Holes can be of any size and any shape. In the figures, the cut out surface sections are colored green and are located above their own holes at an equidistant to the original surface.
HOLE_1.mwHOLE_2.mw

How to solve this DE by using  Differential transformation method?

diff(f(x),x$3)+1/2 * f(x) *diff(f(x),x$2)=0;

with boundary conditions

  f(0)=1 ; f '(0)= lamda * f ''(0)   and   f ' (x) -> 1  as x -> infinity
where lamda is some constant...

How to solve this DE with IC by using DTM.
D^m u(x,t)=u''(x,t)-u^2 (x,t), where n-1< m < n 

IC: u(x,0)=1+sin(x), and u'(x,0)=0

I have functions with sin(x) and  cos(x) terms with x values are degrees.

How to calculate sin(30 degree)?

How to insert degree symbol in maple?

Suppose evaluate  sin(Pi/2), my out put becomes sin(Pi/2)...How to solve this problem?

f(x):=1+B*x-(1/12)*B*x^3+0.1666666667e-4*B^3*x^3-4.166666667*10^(-8)*B^4*x^4+(1/160)*B*x^5+8.333333333*10^(-11)*B^5*x^5-0.5000000000e-2*B^2*x^2+0.1666666667e-4*B*x^3*C^2-4.166666667*10^(-8)*B*x^4*C^3+8.333333333*10^(-11)*B*x^5*C^4-0.5000000000e-2*B*C*x^2+0.3333333333e-4*B^2*x^3*C-1.250000000*10^(-7)*B^3*x^4*C-1.250000000*10^(-7)*B^2*x^4*C^2+3.333333333*10^(-10)*B^4*x^5*C+5.000000000*10^(-10)*B^3*x^5*C^2+3.333333333*10^(-10)*B^2*x^5*C^3+0.7291666667e-3*B*x^4*C-0.3333333333e-5*B*x^5*C^2+0.6250000000e-3*B^2*x^4-0.2083333333e-5*B^3*x^5-0.5416666667e-5*B^2*x^5*C;

How to plot f(x) with B and C are animation variables wih range -5 to 5?

I have a equation f(x) = 0.8680555556e-1*x*(3.262720*x^5*n[2]-.63360*x^5*n[1]^2+2.69184*x^5*n[1]-.480*x^3*n[1]^2+2.5920*x^3*n[2]+5.760*n[1]*x+1.920*n[2]*x^2+0.96e-1*x^4*n[1]^3+3.04320*x^4*n[2]-.5280*x^4*n[1]^2-0.32e-1*x^5*n[1]^4+.2976*x^5*n[1]^3-.1184*x^5*n[2]^2+.5376*x^5*n[3]-0.576e-1*x^4*n[1]+.576*x^4*n[3]-6.3360*x^3-6.96960*x^4-7.349760*x^5+11.520-.192*x^5*n[1]*n[3]-.7104*x^4*n[1]*n[2]+.2528*x^5*n[1]^2*n[2]-1.81824*x^5*n[1]*n[2])

with condition  f(0)=0,f'(0)=1;

How to solve this equation and how to find unknown parameters n[1],n[2],n[3]?

How to write this equation in maple?

g(k-r-1);

conditions:=

1.r from 0 to k, 

2.g(0)=1;

3.g(n)=0, where n not equal to 0.

 

Hey guys, I'm a new Maple user and I've been struggling to figure the collect command out.

I made a smaller example to show what I am looking for

I want to find out a way to use collect command and go from "c" output to "d", choosing the terms I want to be collected as common factors.

I'm also uploading the files if it's of any help, The one called question is the example in the picture above and final objeticve is the big expression that I`m trying to factor.

In the final objective file I'm looking for a way to make the "i" output be factored like this as:

Wi δ Wi (...) + Wi δ Wf (...) + Wi δ θi (...) + Wi δ θf (...) + Wf δ Wf (...) + Wf δ Wi (...) + Wf δ θi (...) + Wf δ θf (...) + ...

 

Thanks in advance

Download Final_objective.mw

Download Question_about_collect_and_factor.mw

 

Dear Users,

I have a set of linear equations which can be presented as A(alpha,n) x(alpha)=b(alpha,n), where 'n' is the dimension of the square matric A.

For a particular value of "n" and "alpha", I can solve the unknown vector x. Further, I can differentiate Ax=b with respect to alpha to find out the rate of change of variable x with respect to alpha.

The above exercise reads, Ax'=b'-xA', which gives the unknown vector x', for a given value of alpha and n.

If I chose different values of n while fixing alpha=alpha0, the rate of change of x with alpha ( x' ) does not converge with 'n'. I noticed that x (alpha=alpha0) converges with n, also x(alpha=alpha0+ delta alpha) also converges with 'n'. I am interested in the query why x' does not converge, in spite of the fact that x converges? Any comments regarding the same are highly appreciated.

 

Thanks,

Grv

Hi MaplePrimes,

I'm trying to explore the polynomial r = n^2+n+39.  where n is an integer

I want restrictions on n such that r will factor into two trinomials.

Here is how far I got - 

prime_poly_39_explore.mw

The 'has' function may be helpful.

Any help is appreciated.

Regards,

Matt

 

I believe this is a bug:

 
(((Q(a)^3)^(5/4))^(15/7))^(6/8);
subsindets(%, anything^rational, proc(x) if type(x, specfunc(anything, Q)^rational) then 'Q(x)' else 'x' fi end)<>
subsindets(%, specfunc(anything, Q)^rational, Q);

Why am I not able to use my MaplePrimes login credentials to login into MapleCloud?

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