Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear all

I compute the integral of continuous function but maple return a complexe number. 

continuous_function.mw

A continuous function defined on a closed interval its integral is a number, why maple in my case return a complex number

thank your for your help 

 

Dear all

When I compute 
int( sin(log(x)),x=0..2) 
I obtain an exact value of the integral 
but one I compute 
int( sin(log(x+1)),x=-1..1) 
I obtain undefined integral

The two integrals are the same, using the change of variable z=x+1

Many thinks

Hello everyone!

I'm not experienced user since I am new to maple, right now I am struggling with partial derivatives.

I want to derivative formula L over diff(x(t), t). Im using dot notation.

 

Variable diff(x(t), t) is hidden under the name predkosc_x but using this variable name instead of x(t) with a dot also is not working.

 

What am I doing wrong that I cant derivative over few varaibles?

 

 

 

 

Also when im trying it this way

I also fail

Hello,

My name is Francisco Navarro. I have a problem when using diff and alias, together with seq or sum.

A very simplified worksheet of what I mean would be

restart

alias(a1 = a1(r), a2 = a2(r), a3 = a3(r))

array1 := [a1, a2, a3]

array2 := [seq(cat(a, i), i = 1 .. 3)]

array1 - array2

This gives [0,0,0] so they are the same thing but, under differentiation, they do not behave the same way (so they are NOT exactly the same object for Maple)

diff(array1, r)

diff(array2, r)

which are different. Any idea of what is wrong with this?

I need to create long arrays with funcions that depend on several values and then differentiate those arrays. But clearly this approach does not work. Thank you for your answer.

Francisco

Why is Maple 2020 in "abcapps.cloud.com" different from Maple 2020 in apps.abc.edu? I am connecting to maple 2020 in two different ways to the school where I work. The schools name is, say, "abc". The first version of Maple 2020 has two arrows at the top. The second arrow is the "upload" arrow and allows me to upload a file from my home computer the my folder at school.
The second version of Maple 2020 has no such arrows. Both versions allow me to get my Maple cloud working for local loading and saving Maple files. How can I upload a Maple file to my Maple cloud from my home computer in the second Maple 2020 version in apps.abc.edu? Or, how can I upload a file to my Maple cloud in any way from my home computer?
By the way, the second Maple 2020 version is coming from Microsoft's Remore Desktop Web Client. It look like it has its own navigation bar at the top.

Thank you!

mapleatha

I have a complicated expression which involves RootOf. How to get rid of and simpliy the equation?

I am looking for an expression for eta(H) not a numerical value.  

eta(H)sheet1.mw  

When a and b are from 0 to 1 it works!! but from -1 to -0.05 not i wonder why?

a1:=1.9:alpha:=0.2:
ode1 := diff( y(x), x$2 ) + x^(-1)* diff( y(x), x )  = 2*a1*(1+x^(2-alpha)/((2-alpha)^2*GAMMA(2-alpha))):
    bc1 := y(0)=subs(r=-0.05,a1/4*(r^2-1)), y(-1)=0:
a:=-1:b:=-0.05:
N := 20:h := (b-a)/N:
X := k -> a+k*h: 
'X'[k] = X(k):
Yp  := k -> (y[k+1]-y[k-1])/2/((1+alpha)*GAMMA(1+alpha)*h^(alpha)):Ypp := k -> (y[k+1]-2*y[k]+y[k-1])/((2-alpha)*GAMMA(2-alpha)*(h^(2-alpha))^2):
for k from 1 to N-1 do
eq[k] := eval( ode1,
                    {x=X(k), y(x)=y[k],
                     diff(y(x),x)=Yp(k),
                     diff(y(x),x$2)=Ypp(k)} ):
    end do:

eq[0] := y[0] = rhs(bc1[1]):
eq[N] := y[N] = rhs(bc1[2]):
    fd_sol1 := fsolve( {seq( eq[k], k=0..N )}, {seq( y[k], k=0..N )} ):
fd_table1 := eval( seq([X(k),y[k]],k=0..N), fd_sol1 ):Matrix([fd_table1]):
infolevel[dsolve] := 3:
#exact_sol1 := combine(dsolve( { ode1, bc1 }, y(x) )):
infolevel[dsolve] := 0:

P1:=plot([fd_table1], x=a..b,color=[black], linestyle = solid, symbolsize=16,axes=boxed);

 

I defined x(t) and y(t) with units; motion in gravity, motion in y-direction with constant velocity, motion in x-direction as motion with constant acceleration.

x := t -> 10*Unit(('m')/'s'^2)*t^2;

y := t -> 50*Unit(('m')/('s'))*t;

plot([x(t), y(t), t = 0*Unit('s') .. 5*Unit('s')]);

Error, (in plot) invalid terms in product: 0 .. 5*Units:-Unit(s)

It works fine if I remove the units.

Also I can plot graph for x(t) and for y(t) with units, but not graph for [x(t), y(t)]

How to solve the Linear first-order partial differential equation by the Lagrange method. Suppose u and v are dependent variables and x,y,z are independent variables of a partial differential equation of the form:

dx/f(x,y,z)=dy/g(x,y,z)=dz/h(x,y,z)=du/k(x,y,z)=dv/s(x,y,z). I need its solution in the form of u and v . How to find it ?

Hello,

Any form to display

 

as

 

?

of course, for 

Thanks in advance,

César Lozada

 

It is said that the LaTeX export of maple2021 has been improved , but unfortunately I still encounter the following problems.

When I execute the following related graph theory code,

restart;
with(GraphTheory):
s1:=[NonIsomorphicGraphs(4,restrictto = connected,output=graphs,outputform=graph)]:
DrawGraph(s1,width=4,stylesheet = [vertexcolor = "Blue",vertexpadding=20])

 

It is strange that all graphs(.eps) are not produced in  corresponding folder  when I exported it as latex file . So it leads to the lack of graphs in the running results of latex.

If it is a single graph, there seems to be no problem.

restart;
with(GraphTheory):
s1:=[NonIsomorphicGraphs(4,restrictto = connected,output=graphs,outputform=graph)]:
DrawGraph(
s1[1],width=4,stylesheet = [vertexcolor = "Blue",vertexpadding=20])

 

 

 

 

 

graph1.mw

 

 

 

 

Hi,

I am looking to have Maple compute the following:

simplify(diff(diff(Sum(epsilon^k*apply(index(f, k), t)/k!, k = 1 .. infinity), t), epsilon, epsilon))

The return value is:

 

Is there any way to get this to simplify appropriately? The problem is with the case k=1, which should just be 0.

What is the best way to expand this if I want to see some of the first few terms?

 

I'm trying out the simple Java example for accessing OpenMaple.  I'm doing it in IntelliJ using JDK15.  I've included the two jar files in the project, externalcall.jar and Maple.jar.  When compiling I run into this error, as IntelliJ doesn't seem to be able to find jopenmaple.jar

Error loading libraries: java.lang.UnsatisfiedLinkError: no jopenmaple in java.library.path: /Users/jasmith/Library/Java/Extensions:/Library/Java/Extensions:/Network/Library/Java/Extensions:/System/Library/Java/Extensions:/usr/lib/java:.

Now, I'd like to add its location to the library path, but I can't seem to find its location.  My understanding is that is should be in $MAPLE/java/jopenmaple.jar

which, on Mac OS is "/Library/Frameworks/Maple.framework/Versions/2021"

But when I look in there there is no jopenmaple.jar.

Does anyone have a suggestion as to where I could find it?  (Maple 2021, IntelliJ 2020 with JDK 15 on macOS 10.14)

thanks!

James

Hi all, 

When I open up Maple the toolbar which says insert: 'Math, Text etc' has disappeared. However sometimes when I restart the program the tool bar re-appears again. I have attached a screenshot have a look. I want to know is anyone else experiencing this in Maple 2021? 

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