Hi,
How can I simplify this relation(See uploaded .mw file)?
For example, the second term is simplified as: 

deltae*(1-phi0/(kappa-3/2))^(-kappa+1/2)+(1/2)*deltab*(1-sqrt(2)*sqrt(1/(m*ub^2))*sqrt(-phi0));

di1.mw

In Latest Maple 2024.2, I found that when doing z:=%  where % is result on integration, causes internal error 

          Error, unexpected result from Typesetting

But when the interface is set to standard, no such error.

This not only happen in worksheet, but also when code is run in command line!

Worksheet below.

Download extended_interface_causes_internal_bug_dec_13_2024.mw

ps. also reported to Maple support

I was rejected because the editor said my equation is too long. My question is: Is there a way to rewrite the equation in a more concise form? Additionally, is there a package in Maple that allows for automatic simplification or collection of terms without using specific commands? Any suggestions for addressing this issue would be appreciated.

Download coment.mw

hi,

I would like help with 2 questions regarding complex plots and Euler's formula:

- I'm trying to plot a complex (simple) plot in Maple Flow (2024.2) but got into a problem:

does anyone would know how to fix/solve it?

- how could an complex exponential function be expanded with Euler's formula

Thanks very much in advance.

Where can I found details about Statistics:-Sample(..., method=envelope).

It would be nice to have a link to a description of the envelope method Sample uses.
For instance does it share some features of the Cuba library for numeric integration? Does it use the same envelope method evalf/Int(..., method=_CubaSuave)) uses?

Thanks in advance.

I'm having trouble solving this system of differential equations. I haven't solved systems of differential equations before but i tried defining the system and then using dsolve, but it couldn't solve all the equations.

Hope you can help.

Download System_Of_Differential_Equations.mw

I'm trying to transform a partial differential equation (PDE) into an ordinary differential equation (ODE) as demonstrated in the paper. However, I find some steps confusing and difficult to follow. The process often feels chaotic, and managing the complexity of the equations is overwhelming. Could you suggest an effective and systematic method to handle such transformations more easily?

Download transform-pde-to-ode-hard_example.mw

I have expected the opposite. Is exp already optimised that hardware floats do not make sense or does the conversion of the argument to hardware floast eats up all the benefit of using hardware floats?

restart;
CodeTools:-Usage( for i from 1 to 100 by 0.1 do exp(i) end do):
CodeTools:-Usage( for i from 1 to 100 by 0.1 do (evalhf@exp)(i) end do):
memory used=1.54MiB, alloc change=0 bytes, cpu time=16.00ms, real time=15.00ms, gc time=0ns
memory used=5.88MiB, alloc change=32.00MiB, cpu time=31.00ms, real time=33.00ms, gc time=0ns

Is there a way to determine how we can construct a system of equations from this complex PDE? Also, moderator, you mentioned I could create a new question using the branch option, but you deleted my previous question, which led me to delete my earlier post. don't delete this one.

Download PDE-Hard.mw

The output  means that there is no real solution, but clearly, both and  satisfy the original equation: 

So, why does `solve` lose the real solutions without any warning messages? 
Code: 

restart;
eq := 9*(x^2 + 2*cos(x)) = Pi^2 + 9;
RealDomain:-solve(eq, [x]);
                               []

:-solve({eq, x >= 0}, [x]); # as (lhs - rhs)(eq) is an even function 
                               []

this equation will be solve by changing variable but when  i found the function and substitute the ODE is not zero where  is mistake?

Download problem.mw

I'm trying to solve system of ODE (Temperature changing with time) which are going to use the heat capacity obtained from thermophysical package (heat capacity is changing with temperature).

In the support page there is an example in which they were able to integrate the heat capacity from the package. So I wondering if it is possible to include it in an ODE system.

I used their same approach, I tried defining the call to the package as a function but I'm getting an error:

"Error, (in dsolve/numeric/process_input) input system must be an ODE system, found {ThermophysicalData:-CoolProp:-PropsSI(C,P,101325,T,T1(t),"hydrogen"), T1(t), T2(t), T3(t)}"

Attached question.mw

Dear Maple user i want to extract the data from the given graph and store in excel file. where the first column contain the value of lambda in that substitude the values of delta2 ranging from 0.002 to 0.1 (atleast 20 values) and second column  contain Nb =0.1, third column Nb= 0.2 and third column Nb=0.3. Thanks in advance

restart:
h:=z->1-(delta2/2)*(1 + cos(2*(Pi/L1)*(z - d1 - L1))):
K1:=((4/h(z)^4)-(sin(alpha)/F)-h(z)^2+Nb*h(z)^4):
lambda:=Int(K1,z=0..1):
L1:=0.2: F:=10:
d1:=0.2:
alpha:=Pi/6:
plot( [seq(eval(lambda, Nb=j), j in [0.1,0.2,0.3])], delta2=0.02..0.1);

Hi,

I would like help on accessing an element of matrix which is itself  an element of another matrix, like:

how could I reference the element "1.0" or "6.0"?

Thanks in advance for any help.

I tried the latest Maple flow upgrade (2024.2) and noticed some strange behavior. When I enter units such as L/min or m/s^2, the program states: "invalid unit(s) Units:-Simple:-*" However, to my surprise, if I start the canvas by stating with(Units) everything works as it should. In the user manual however it is stated that the with() commands do not work within Flow. If someone would be so kind to explain what I am doing wrong.