Maple 2015 Questions and Posts

These are Posts and Questions associated with the product, Maple 2015

1,1,2,2,2,3,3,2,2,1,2,2,2,3,3,1,1

i would like to research the ordering mechanism of this kind of series Before sorting.

HI, 

Yesterday I replied  denitsastaicova's question while providing an attached file. 

Surprisingly, I wasn't able to save the worksheet after having executed it. The only way I found to save it was to copy-paste it's content in a new worksheet and save this latter without any execution.
Here is the file
events.mw

For info I'm working with  Standard Worksheet Interface, Maple 2015.2, Mac OS X, December 21 2015 Build ID 1097895
on Mac OS Mojave 10.14.3
If I open this file and execute it (and even if I execute only the commands from the initial restart to the three dsolve), I get this pop-up error message when trying to save it:

Does my worksheet contain some undesired character or is it a bug ?

Starting from 3 points of a base, then got 3 lines equations.

If having 3 lines equations of a cone surface, how to find the surface equation of a cone?

 

I find many tools about differential 

i had some differential ideal

how to use these tools to research what application can be applied with differential ideals I discovered?

do math regex solver exist in this world?

expect to output a set of regex for pattern

and then use regex to generate condition or rules equations and then use sorting algorithm to find whether match all data

Question 1)
Maximize A + B <= 60
A - B = prime or 2^n
A or B can be prime or 2^n  * prime
A or B at least one of them is prime
Solve system for A and B
Question 2)
Maximize A + B + C <= 60
A - B = prime or 2^n 
B - C = prime or 2^n
A,B,C at least one of them is prime
A or B or C can be prime or 2^n * prime 
Solve system for A and B and C

Dear Users!

Hope you would be fine. I want to export .dat file from 2D plots in attached file. But facing some problem. Please have a look and try to fix it.

Many thanks

2._SP_alpha_varies.mw

Special request:

@Carl Love

@acer

@Kitonum

Dear Users!

Hope you would be fine. I want to export dat file for 3D plot in maple and want to replot it any perfessional software like tecplot, origin.

u:=sin(x+y):
plot3d(sin(x+y), x = 0 .. 2*Pi, y = 0 .. 2*Pi);
How can I export the data in 3D. Thanks in advance for you help.

Even for very common functions Maple has trouble calculating a series expansion if the center is not zero.

series(sin(x),x=0);

works as expected. But choosing x = 1 as center yields

series(sin(x),x=1);

This strange behavior also happens with other standard functions like cos, cosh, sinh.

So I have this expression

f:=(coth(x)^(1/3)-tanh(x)^(1/3))*(coth(x)^(2/3)+tanh(x)^(2/3)+1)

which Maple can not simplify?

I need to do it like this

`assuming`([expand(simplify(add(`~`[simplify]([op(combine(expand((coth(x)^(1/3)-tanh(x)^(1/3))*(coth(x)^(2/3)+tanh(x)^(2/3)+1))))]))))], [x > 1])

Is this actually true or what is happening here?



 Anyone can explain to me this program using Runge Kutta fourth order method

Download program.mwprogram.mw

Anyone can explain to me the Runge Kutta method using the following equations and conditions??

 

diff (diff (diff (f (eta), eta), eta), eta)+ f (eta)* diff (diff (f (eta), eta), eta)=0

diff (diff (theta (eta), eta), eta)+ f (eta)* diff (theta (eta), eta)=0

f(0) = 0, (D(f))(0) = 0, (D(f))(5) = 1

theta(0) = 1, theta(5) = 0

Hi, 
I'm very stunned by the results displayed in the worksheet below.
It seems that adding extra assumptions on a variable already constrained with "assume" has disturbing side effects ?

Here is a simplified worksheet that exhibits the phenomenon.
Basically I want to solve the equation a*x-b =b with respect to x.
In a first step I set assumptions on a and b and Maple returns x=0, as expected.
Next I add a new condition on b and ask Maple to solve the equation again. I intain this strange result: x=(b~ - b~)/a~.

Am I doing something wrong?

Thanks in advance


 

restart:

anames(user);

assume(a > 0):
assume(b > 0):

f := a*x+b

a*x+b

(1)

g := f=b:
simplify(g);
solve(g, a);

a*x+b = b

 

Warning, solve may be ignoring assumptions on the input variables.

 

0

(2)

anames(user);

b, g, f, a

(3)

additionally(b > a)

h := f=b:
simplify(h);
solve(h, a);

a*x+b = b

 

Warning, solve may be ignoring assumptions on the input variables.

 

anames(user)  # additionally(b > a) doesn(t introduce a new variable

b, h, g, f, a

(4)

indets(g);
indets(h);  # why do I have b~ twice ?
            # This is probably the reason why solve(h, a) doesn't work

{a, b, x}

 

{a, b, b, x}

(5)

lprint(indets(h))

{a, b, b, x}

 

# strange...

solve(h, indets(h)[1]);

simplify(%);

Warning, solve may be ignoring assumptions on the input variables.

 

-(b-b)/x

 

-(b-b)/x

(6)

# remark, dismantle explains nothing about the distinction between b~ and b~


EQUATION(3)
   POLY(6)
      EXPSEQ(4)
         NAME(4): a
         NAME(4): b
         NAME(4): x
      DEGREES(HW): ^2 ^1 ^0 ^1
      INTPOS(2): 1
      DEGREES(HW): ^1 ^0 ^1 ^0
      INTPOS(2): 1
   NAME(4): b
 

 

dismantle(h)


EQUATION(3)
   POLY(6)
      EXPSEQ(4)
         NAME(4): a
         NAME(4): b
         NAME(4): x
      DEGREES(HW): ^2 ^1 ^0 ^1
      INTPOS(2): 1
      DEGREES(HW): ^1 ^0 ^1 ^0
      INTPOS(2): 1
   NAME(4): b
 

 
 

 


 

Download MultipleAssumptions.mw

 

Maple 2015

Suppose you want to plot x = Rcos(omega*t) for t = 0..4Pi/omega.

Below is the sketch of the function.  Is there a way to plot the functions using Maple's plotting syntax?

plot(R*cos(omega*t), t = 0 .. 4*Pi/omega);
Error, (in plot) expecting a real constant as range endpoint but received 4*Pi/omega
Thanks

How to plot the solution of pde

pde:=diff(u(x,t),t) =K*diff(u(x,t),x, x); 

I can't step further,  i can't insert boundary value problem, plz help me to solve pde.

Hear u(x,t)->infinity  when t->infinity  and diff(u(x,t),x) =0 when x=0 for all t 

Please ignore my mistake,

I use Maple 2015, is it possible to animate a standing wave as shown below?

 

 A working animation can be found on https://oceanservice.noaa.gov/facts/seiche.html

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