MaplePrimes Questions

Hello everyone!

I'm pretty new with Maple. I think I've understood the way Maple handles differentiation fairly well, but upon a specific request from my PhD tutor I have to perform a task which is giving me a hard time. 

My question is: is in any way possible to express a derivative of a function or expression in terms of the function itself?
I'll try to explain myself with an example: let f(x) and f'(x) be the function and its first derivative:

Instead of expressing f'(x) in the way shown, I'd like to express it as a function of f(x), such as in the following:

I would apply the same process to the higher order derivatives, if possible.

A huge thank you to whoever will help me!

The physics package is pretty awesome, but one thing that would be a big help is some functionality for entering and resolving vectors in angle/magnitude format (50 angle 45 degrees, or what have you.) Is there a way to do this?

 

Thanks

 

Joe

Hello,

I have 20 by 20 matrix (with only two symbolic components, say a and b), other entries of the matrix are either populated with zeros or real numbers. I am trying to obtain the inverse.

 

All the command I have tried returned an error message. In particular M^(-1) yields:

Error, (in radnormal/ifactors) too many levels of recursion.

 

I would appreciate any suggestion that could solve this issue. Thank you

 

ps: I am essentially trying to solve Ax=b. The commands within LinearAlgebra all yielded similar error messages.

Hello,

 

I tried to write a code for CRT-RSA. The encryption is kinda easy and like the normal RSA:

Public key given: (e,N)=(5,851); private key: (d,dcp,dcq,p,q)=(317,29,9,37,23)

with the result:

                      [116, 101, 115, 116]
                       [676, 645, 144, 3]
                      [100, 70, 715, 243]

So, know i tried the following:

that also works pretty fine; dcp and dcq are the CRT-RSA-exponents, and gives:

                        [10, 16, 33, 3]
                          [9, 1, 6, 3]

So now my try for the next step:

but it doesnt work...

the results are:

 

Why does Maple take the whole vector for y? I dont get it....

 

Note: if d<sqrt(N), then d=dcq=dcp and the Decryption of normal RSA can be used:

therefore the line:

works as decipher1 already.

 

 

So thanks for any help!

Hi, My name is mohammed and I am a P.h.D student . I am a new user with Maple . I had two questions

First one : How can I execute a number of commands by using worksheet or document mode ? can any one  provide me an example?

Second : How can I measure the time for a number of command? can any one provide with syntax of the command?

As maple 18 does not, and I see no information about this topic for 2015 version, besides, I don't have a chance to try the software. So any help would be appreciated.

hello i need plot integrale of siampson thank you

> Simpson := proc(f, a, b, n)
> local h, S1, S2, S, i;
> h := (b-a)/n;
> S1 := 0.0;
> for i from 0 to n-1 do
> S1 := S1 + f(a + (2*i+1)*h);
> end do;
> S2 := 0.0;
> for i from 1 to n-1 do
> S2 := S2 + f(a + (2*i)*h);
> end do;
> S := (h/3) * ( f(a)+f(b) + 4*S1 + 2*S2 );
> return S;
> end proc:
> Digits := 5;

                             Digits := 5

> f := x -> 1/sqrt(39.24*x-44.65*(x*arccos(x)-sqrt(1-x^2)-13.88*(1-x^2)^1.5));

  f := x -> 1/sqrt(39.24 x

                                          2                2 1.5
         - 44.65 (x arccos(x) - sqrt(1 - x ) - 13.88 (1 - x )   ))

> Simpson(f, 0, 1, 100):
>
> p:=int(f(x), x=0..0.1);

                            p := 0.0038931

> w:=int(f(x), x=0.1..0.2);

                            w := 0.0039570

> m:=int(f(x), x=0.2..0.3);

                            m := 0.0040826

> l:=int(f(x), x=0.3..0.4);

                            l := 0.0042836

> kohv:=int(f(x), x=0.4..0.5);

                          kohv := 0.0045860

> q:=int(f(x), x=0.5..0.6);

                            q := 0.0050373

> s:=int(f(x), x=0.6..0.7);

                            s := 0.0057306

> d:=int(f(x), x=0.8..0.9);

                            d := 0.0089874

> f:=int(f(x), x=0.9..1);

                            f := 0.013349

When I take the derivative of abs(x), I use the chain rule and get this

When I ask Maple to differentiate abs(x), I get this:

I read the help file on "signum", and I expected this to work, but it does not.

 

 

How can I represent signum in normal calculus syntax when working the derivative of functions involving abs(x)?

 

 

 

Hi All,

I am using pds:-animate to show the results of integration of a two function system, u(x,t) and v (x,t). I would like this command uses two different colors for each line but the command "color=[blue, green]" is not working and both lines have the same color (blue).

Some help?

Thanks a lot,

Javier

 

Evaluation of Primitive Hydrogenic Coulomb & Exchange Integrals

I would appreciate if someone would check my worksheet wherein these integrals are evaluated applying the method of Eyring, Walter, & Kimball, p 396, Quantum Cemistry, Wiley (1944).

Please write me at cordes@stny.rr.com, and I'll email you a MAPLE worksheet.

 

Thank you for your consideration.

Dear,

I have this code generating a piecewise function:

> with(CurveFitting);

> points := [[0, 1], [1, 2.5], [3, 2.3], [4.2, 5], [5, 3.5], [5.8, 4.2], [7, 7], [8, 10]];

> splcurve := Spline(points, v);

In this particular case I have seven distinct polynomials. Someone knows how could I get one specific polynomial, for example, the one exactly before v < 4.2? 

In other terms:

I'd like to define a new function, say 'f', that is exactly the polynomial just before v < 4.2 (e.g, something like f:=(splcurve, v < 4.2)). Do exists this possibility? (I have been looking for it elsewhere but without success!!)

Thanks in advance! Best regards!

 

Hi

I need to display amounts of M2 and 1.15*P2 instead of Notations

TEXT([M2,1.15*P2],'`(M2,1.15P2)`

 

There is a slight display difference of the code between showstate() and print(). It has to do with '` name `' use where print does not show the outside '' characters.

Here is an example

restart;
showstat(`dsolve`);

and now using print

restart;
interface(verboseproc=3);
print(`dsolve`);

When I used

with(LibraryTools);
Browse();

and looked at the source code there, it matched what showstat(`dsolve`); gave and not the print command. Is there a reason why print does not show all those extra characters exactly as in the source code? It seems a formatting issue, but it is better to be looking at an exact copy of the source code.

Knowing that the Taylor series for cos(x) is:
sum := sum+(-1)^i*x^(2*i)/(2*i)!

How would I write the following Maple code?

Generate an animation sequence showing the Taylor series approximation of cos(x) from N=1..10, where N is the number of terms in the series. Each subsequent frame of the animation should show a more accurate representation of cos(x) than the previous one. Plot the animation from x = -2*Pi .. 2*Pi, y = -5 .. 5

Hi,

     I want to know what K1 and K2 means in the answer after using Euler Lagrange command.

     Thanks in advance.

 

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