Hello,

Problem description

1) Define a function in terms of variables and parameters,

2) FInd the optimal solution

3) Plot the optimal solution in terms of a single parameter

Solution

What I have done is very basic since I haven't use Maple for many years. Here is an example

1) f(x;a,b,c):= ax^2+bx+c; (I don't knpw how to tell Maple that {a,b,c} is a set of parameters)

2) solve(f(x)=0,x); (I could use something like solve(f(x)=0,x,'parametric','real') but I am not interested in so detailed solution)

3) Here is my main problem. I want to save the first solution of x in optx(a;b,c) and the second in opttx(a;b,c) but I don't know how to do it (again, here a is my variable and b,c my parameters)

4) I also don't know hot to plot optx(a) as a increases, whereas the values of {b,c}={e.g., 2,3}

I would appreciate any resources/guidance 

hello,my friends.I got a problem in using maple.

I want project a cuboid on a plane, and integrate function on that area.

for example, a cuboid which have a spatial diagonal between (0,0,0) and (1,2,1).
Then it was projected to a plane defined by three points (-1,0,0), (0,-1,0) and (0,0,-1).
Finally, a function x^2+y^2 was integrated on that projected area.

I found the cuboid can be defined with plottools:-cuboid and projected with plottools:-project in maple.
but how to integration next?
I can't find any commands in maple can do the integration with that irregular area.

I need some help.Thank you very much in advance.

to_minimize.mwto_minimize.mw

I have a function fn2 that I want to minimize. I'm not sure about the range of A. So I first want to check out if the function is convex or concave. Also need to find the optimum value of T w.r.t A for the fn2. But I'm not able to understand the solution, please help.

Here's a podcast that covers a few topics that get discussed on MaplePrimes.
 

We all like finding the right tool for the job. In the Sep 2021 episode of the Engineering Matters Podcast “#127 – Tools for Thinking” you can discover how far engineers have come in their quest for better tools.

It features contributions from several members of the Maplesoft team as they discuss how the user experience shapes the adoption of engineering software tools.

The hosts have fun describing some early calculation hacks - from early Sumerian farmers using their fingers as tally counters, to the paper calculus notebooks of the 1850s used by historical engineering figures like Isambard Kingdom Brunel. What starts as a necessity gets improved over time to save them mental effort – all driven by the way users interact with the tool.

This episode gives a behind-the-scenes look at some of the decisions that shaped the engineering product that is now Maple Flow from its roots in Maple. Maplesoft CEO Laurent Bernardin describes the spark of innovation in the late 1970s, when two professors at the University of Waterloo developed Maple. “The two professors got together, realising that there was a need in math education for a tool to help with calculations and setting out to create that tool. And Maple was born quickly, was adopted across universities around the globe.”

As engineers typically work in ways far removed from the regular academic setting, Product Manager Samir Khan weighs in on the shift that comes from a different user base: “Different tools have different design intents,” says Khan. “Some tools are designed for programmers such as code development environments, like Visual Studio. Some environments are aimed at mathematicians, people who need precise control over the mathematical structure of their equations, and some environments are designed for engineers who simply want to throw down a few equations on a virtual whiteboard and manipulate them and get results.”

The conversation also touches on the design of the GUI itself. Margaret Hinchcliffe, Maple’s Senior GUI Developer expresses the importance of smoothing the user experience - drilling down and taking “the typical tasks that people want to do the most, and make those the most immediate. So really focusing on how many keystrokes do they need to do this task?”.

Ironically the idea of the paper notebook still has features that are desirable. Khan muses on the idea that Maplesoft has “taken the first step with having a virtual whiteboard, but Maple Flow still relies on keyboard and mouse input”. He offers suggestions for what may be next in the industry: “It’d be interesting to see if we can take advantage of modern advances in deep learning and AI to imitate what humans are doing and interpreting handwritten mathematics.”

You can listen to the entire podcast (~30 min) here: https://engineeringmatters.reby.media/2021/09/30/the-evolution-of-tools-for-thinking/

Hello,

I am having some trouble with the "Seq" command of the "Threads" package. This is a parallel implementation of the usual "seq" command.

I namely defined a (very long) procedure "f" which defines a (very complicated) function $f: R^2 -> R$, taking as arguments an $x$ and a $y$ and returning $f(x,y)$. I want to plot its graph in 3D, which I try to do by making a 3D data structure consisting of points making up the $x$ range, $y$ range, and the evaluations $f(x,y)$. I then want to plot it with the "SurfacePlot" command from the "Statistics" package.

If I define my data structure as

 data := [seq([seq([i/10, j/10, f(i/10, j/10)], i = 1 .. 10)], j = 1 .. 10)]

the SurfacePlot(data) works. However, it is very slow because it runs in serial and the function evaluation "f(x,y)" takes a long time to compute.

I therefore wanted to compute the data in parallel. For this, I use

 data := [Seq([Seq([i/10, j/10, f(i/10, j/10)], i = 1 .. 10)], j = 1 .. 10)]

Sometimes this works, but often it does not and I get the following error after a number of datapoints have been computed (i.e. after evaluations of f have been made).

Error, (in simplify/float) invalid arguments for Float constructor

This is the first time I use parallel computing, so I am not familiar with potential problems that could trigger errors and don't understand very well how parallel computing works. Does "Seq" only compute the different data points [x,y,f(x,y)] in parallel, or does it compute stuff within the procedure "f" also in parallel when evaluating "f(x,y)" at some fixed arguments "(x,y)"? Because another procedure is defined within "f" and it is called multiple times within one "f" call, so in that case it could be a problem with lexical scope. Any suggestion to help me understand and correct my error would be greatly appreciated.

A few days ago my Windows 10 (32 bit) operating system did an update of my Excel 2016. Since that moment I get following message:

However the addin toolbar is still present and WMIMPLEX.xla file is also still present. Removing and reinstalling the addin did not help. So I am wondering what other solutions could be done.

Aside of this I would like to ask some help for the correct syntax in Thermodynamics package calculating water vapor pressure. For one or another reason I do not succeed to find the correct syntax to obtain the water vapor pressure at 24°C.

Thank you in advance for any help

From a tweet by Tamás Görbe : plotting Chebyshev polynomials in polar coordinates leads to some interesting pictures.  Screenshot here, link to the worksheet (and some perhaps interesting puzzles) at the end.

ChebyshevRose.mw

Hi,

I want to add a  degree symbol (°) in my  plot Triangle 2 ( for example 100°  )

Ideas ?

Thanks

QuestionTypeset.mw

Dear Useres!

Hope everyone is fine here! I want to compare the coeficient of exp(k*eta[3]+m*eta[1]+n*eta[2]) for k=0,1,2,3,...,N,n=0,1,2,3,...,N and m=0,1,2,3,...,N for N=10 in the following attached file. But I got some error, please have a look and try to fix it as early as possible. Please take care and thanks

Compare_coeff.mw

This is a just a general type question. Often reading questions posted to do with modules and packages I see "foo" used. I have put together some simple packages for routines I find useful. I am week in general programming knowledge. I would like to know is "foo" something special or a generic name used for testing? Is is an acronym? ...

hello how do i use bracekt for several lines, like in this picture I need to write this in maple.

i already know how to setup matrices for nX1 or 1Xn (as in vector) or multiples such as

nXn (square matrice) or nXm (a none square matrice)

I also know that we have this premade "sketch"

but I need for several line and some times I need on the right side and some time I need on the left side.

but rarely on both sides (and if I need on both side I will just use a matrice)

can you help me

thx

regards OrbitA

Hello, i stumbled across a function that does not want to plot regularly.

The translation: The tension U(t) (in volts) measured across a resistance in a electric circuit is given by U(t)=cos(2t)*U*e^t/10.

a. Plot the graph of y=U(t)
b.Calculate the limit t->infinity and acquire the horizontal asymtote of the graph of y=U(t). 
c. Calculate the intersecting points of the graph of U with horizontal asymptote (dont ask me how, while how can a function intersect with its own asymptotes??). 

So the question actually is how to graph this function?
Maybe then i can make up from that how the function intersects with its own asymptotes.

Thank you!

Greetings,

The Function.  

Download Question_for_maple_primes_4.mw

Hi,

This is my first post here and I am really hoping someone can help me. I just started using Maple and I am using Maple 2021.

I generated numbers using a SEQUENCE and the sequence is called y. I am trying to extract the element (y[n]) and the index (n) of that element based on the CONDITION that y[n] has to lie in between 0 and 1 exclusive (so the element of the sequence or y[n] has to be such that 0 < y[n] < 1). How can I achieve this using select commad and also using a LOOP. Are there any other methods that can be used to achive this result. Any or all help would be really appreciated.

Thank you all.

I have piecewise functon:

k := piecewise(t < t1, kmax, t1 <= t, -kmax, 2*t1 + sqrt(2)*t1 <= t, kmax, 3*t1 + 2*sqrt(2)*t1 <= t, -kmax, 4*t1 + 2*sqrt(2)*t1 <= t, 0)

Everything is a constant except time t. 

I need to Integrate it 4 times. 

sol := int(k, [t = 0 .. t, t = 0 .. t, t = 0 .. t, t = 0 .. t])

I only get result for the first two conditions from the piecewise functon (t < t1, kmax, t1 <= t, -kmax)

I need the result for complete piecewise functon. Also converting to Heaviside doesn't work. I am a complete math moron. Ty

Hi,

I have made a maple file that is meant to test Maple's solution to the nonlinear pendulum equation.  I am doubtful that Maple is finding the correct solution.  Could someone comment on my analysis?

test_nonlinear_pendulum_solution.mw