Maple 2017 Questions and Posts

These are Posts and Questions associated with the product, Maple 2017

Is there any way i can define a value to a variable together with an angle? 

I am looking to do something like this:



the example is from Mathcad, but i was hoping there was some way to do it in Maple also?

Using the syntax in Maple we develop the energy with conservation equations here we are applying the commands int, factor, solve among others. We also integrate vector functions through the scalar product and finally we calculate conservative fields applying the rotational to a field of force. Exclusive for engineering students. In spanish.

Work_of_a_Force.mw

Lenin Araujo castillo

Ambassafor of Maple

Can any one disprove maple answer in the attached document?
If not, what is the conclusion?
 

restart

coulditbe(3*I > 0)

false

(1)

coulditbe(3*I > 0)

false

(2)

coulditbe(3*I < 0)

false

(3)

coulditbe(-2+3*I = 0)

false

(4)

coulditbe(abs(I) > 0)

true

(5)

true

(6)

coulditbe(2+3*I < 0)

true

(7)

``

``

What is your opinion?

My opinion from the above is : When a is real and b is complex, a and b can not be compared.

Like number of goats and number of lions  can not be added to give an answer in number of lions alone or number of goats alone!!
Riemann's function Zeta is a function of Complex number

 

solve(abs(Zeta(s+2*I)) = 0, s)

-2*I+RootOf(Zeta(_Z))

(8)

"(->)"

-2.0000-2.*I

(9)

NULL

solve(Zeta(s+2*I) = 0, s)

-2*I+RootOf(Zeta(_Z))

(10)

"(->)"

-2.0000-2.*I

(11)

What does the above results convey??

Am I correct if i state that 's' should be a complex number only and not a real number.


 

Download s_is_complex.mw

s_is_complex.mw

Hey, guys. Can you help me one more time about the non-homogeneous differential equation, the function is shown below:

ODE:

y''(x)-0.00003019*y(x)^0.337=[9.542*10^(-13)]*x  ;    0<=x<=2945

BCs:

y(0)=0; y'(2945)=0; 

Actually, the right part is applied bending moment due to own weight. it is very small, but I don't think I may neglect it.  The exact solution is the best answer for me, the numerical solution is also available for me.  Can you show your code of Maple? Thank you for your any help in advance.   Sincerely, I appreciate it so so so much!!!

I have a expression with polylog functions.I want to simplifying to Pi's constans.I tired with:

1. simplify
2. convert

but seems dosen't work:

simplify(sum((sin(k)/k)^7, k = 0 .. infinity))

#1+(1/128*I)*polylog(7, exp(7*I))-(7/128*I)*polylog(7, exp(5*I))+(21/128*I)*polylog(7, exp(3*I))-
(35/128*I)*polylog(7, exp(I))+(35/128*I)*polylog(7, exp(-I))-(21/128*I)*polylog(7, exp(-3*I))+
(7/128*I)*polylog(7, exp(-5*I))-(1/128*I)*polylog(7, exp(-7*I))

 Mathematica give me:

How to do it in Maple?

Namely, I mean

solve({y >= 4*x^4+4*x^2*y+1/2, sqrt((1/2)*(x-y)^2-(x-y)^4) = -2*x^2+y^2}, [x, y]);
                               []

The answer (no solution) is not correct in view of 

eval({y >= 4*x^4+4*x^2*y+1/2, sqrt((1/2)*(x-y)^2-(x-y)^4) = -2*x^2+y^2}, [x = 0, y = 1/2]);
      {(1/8)*sqrt(4) = 1/4, 1/2 <= 1/2}
eval({y >= 4*x^4+4*x^2*y+1/2, sqrt((1/2)*(x-y)^2-(x-y)^4) = -2*x^2+y^2}, [x = -1, y = -3/2]);
      {(1/8)*sqrt(4) = 1/4, -3/2 <= -3/2}            

 

I can solve three equations for x like this

restart:
x := y/p:
z := x*a+y*(1-b):
x := 100*z/(p*r+r);

                            /y a            \
                        100 |--- + y (1 - b)|
                            \ p             /
                   x := ---------------------
                              p r + r      

However, I dont like the fact that x is a function of y. I just want x to be a function of a, b, p and r. So I try to expreses the equations as follows:

restart;
y := p*x;
x := 100*z/(p*r+r);
z := x*a+y*(1-b);
solve(z, x);

Error, recursive assignment
Warning, solving for expressions other than names or functions is not recommended.

Any idea how I can get an equation for x that only depend on a, b, p and r? 
 


 

alias in rtables does not work when typesetting=extended (default in Maple 2017)

restart;

alias(alpha=RootOf(z^3+z+1,z));

alpha

(1)

L:=simplify([seq(alpha^k,k=0..5)]);

[1, alpha, alpha^2, -alpha-1, -alpha*(alpha+1), -alpha^2+alpha+1]

(2)

V:=convert(L,Vector);

_rtable[18446744074335181870]

(3)

interface(typesetting=standard);

extended

(4)

V;

7275930162710271107275012117273962706

(5)

 

How does one delete an empty cell. I can't see to do that easily, please see the attached for what I am trying to explain.

eq1 := 3*x^2+x+2

``

if 6*x+1 = diff(eq1(x), x) then print(yes) else print(no) end if


 

Download 2.mw

 

 

 

Hello.

I have a problem for determining a and b?

please help me.

thanks

PADE.mw



Maple Worksheet - Error

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

Download PADE.mw



 

 

We have released a small maintenance update to Maple. Maple 2017.3 provides enhancements in several areas, including mathematical typesetting, pdsolve, and the Physics package. It also provides improvements to the MapleCloud, including a fix for a problem that prevented some Mac users from logging on with their Google credentials.

This update is available through Tools>Check for Updates in Maple, and is also available from our website on the Maple 2017.3 download page.

 

Group of exercises solved using Maple scientific software, with the necessary considerations of some basic commands: evalf and convert that will show the solutions with the user-defined digits and the angular measurement in sexagesimal degrees. Important use of the law of the triangle through of vector position applied to vectors in vector spaces, vector force and vector moment for engineering students. In spanish.

Exercises_of_vectors_forces_and_moment_with_Maple.mw

Videotutorial:

https://www.youtube.com/watch?v=DxpO0gc5GCA

Lenin Araujo Castillo

Ambassador of Maple

Using a Maple procedure is a very common task. For instance, here, F is a differential operator applied to any expression f

restart;
F := proc (f) options operator, arrow; x*(diff(f, y))-y*(diff(f, x)) end proc;
                            / d   \     / d   \
                F := f -> x |--- f| - y |--- f|
                            \ dy  /     \ dx  /
F(sin(x*y));
                    2             2         
                   x  cos(x y) - y  cos(x y)

It is also possible to index a procedure. There is an appropriate syntax. At the end, one should not forget to assign the procedure to a table. Here, F simply returns its indices.

restart;
`index/F` := proc (idx) return idx end proc;
F := table(F);
                       F := TABLE(F, [])
F[i, j, k, 1, 2, 3];
                       [i, j, k, 1, 2, 3]

My question is how to define a procedure that uses both indexed and non-indexed arguments? That is, a procedure that returns a result according inputs of the type:

F[i, j, k,...](x, y, z,...)

I need such a syntax to define a differential operator (like the first example) that is further defined as a tensor within the Physics package (Physics:-Define). This differential operator thus needs to be indexed.

 

Hello,

I'm new as to write programs in Maple.

My problem is: How can i write program code into an empty worksheet?

How can i insert new commands into an existing program/procedure?

What do i have to do?

Can you help me please for my first steps, i didn't find any helpful information about this.

Thanks in advance

Volker

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