An oddly shaped Christmas package is a collection of centrally stacked cube-shaped boxes with ever smaller sides. From bottom to top, the edge lengths of the stacked cubes run like the sequence of the reciprocals of the sequence of the square roots of the natural numbers. How high is the package? How much paper is needed to wrap the package? What is the total volume enclosed by all the packages?

why i take intgral from equation it must apply for each term but just by sign is show up how it will work?

Download int.mw

I have a set of four equations along with specific parameter values provided in the dataset. I need to create a graph where I can dynamically adjust the values of parameters g2 and y within the specified range given in the sheet.
question_plot_slider.mw

Could you provide a maple code that allows for this flexibility, ideally with interactive controls (like the slider buttons shown in the example figure)

Hello,

I am working on a problem involving Newton's Law of Cooling in Maple, I want to:

1. Solve for the cooling constant k,
2. Find how long it takes for the pizza to cool to 300 F,

Here is the code I am currently using:

with(plots):

T__s := 75;  # Surrounding temperature
ode := diff(T(t), t) = k*(T(t) - T__s);

# General solution
general_solution := dsolve(ode, T(t));

# Initial condition: T(0) = 350
T := t -> 75 + exp(k*t)*c__1;
C := solve(350 = 75 + exp(0)*C__1, C__1);

# Solve for k using T(5) = 340
k := solve(340 = 75 + 275*exp(5*k), k);
k := evalf(k);

# Solve for time to reach T = 300
time_to_reach := solve(300 = 75 + 275*exp(k*t), t);
time_to_reach := evalf(time_to_reach);

# Define T(t) with solved constants
T := t -> 75 + 275*exp(k*t);

# Plot temperature over time
temp := plot(T, t = 0 .. 280, 75 .. 360, title = "Exponential Decay of Pizza Temperature", labels = ["t (minutes)", "T(t) (°F)"], color = blue);

# Plot T__s as a horizontal line
T__sur := plot(T__s, t = 0 .. 280, color = red, linestyle = dash);

# Combine and display plots
display([temp, T__sur]);

The code works, but I am wondering if there is a more efficient or genuine way.

I would greatly appreciate any advice or alternative approaches to solving and visualizing this in Maple.

Thank you in advance for your insights!

PDF ready for download.

Error occurred during PDF generation. Please refresh the page and try again

With the latest version of Maple I get an indenting space when I click "Shift+Enter".
For example 

But I don't like it: suggestion? Thanks

Hint: we can vanish the different power of x and t!

Download params.mw

params.mw

Hi,

I've just got interested in MapleFlow (and downloaded the trial). I looked at the previous post but I have seen very little activity for MapleFlow. Is it still alive?

Best regards,

Hi, how to rsolve this recursive sequence auto? 

The manual calculation is taking the reciprocal of both sides of the equation, and then do some simple calculations to get the answer:1/(3·2^n-5).

Download ask_recrusive_sequence_of_A[n].mw

I want to solve n nonlinear equations in n unknowns named lambda[1], lambda[2], ..., lambda[n]. For simplicity, I assume n=3. Each of the three equations includes matrices and dot products.

Running solve() takes forever...I assume this is because Maple is trying to find the explicit form. I am not sure, but I have reasons to believe that a solution exists.

Questions:

1. Did I set up the three equations correctly? Is there a simpler or smarter way to set up my problem?
2. Is it okay for Maple that lambda[i] sometimes appears isolated and sometimes as a component of a vector?  
3. Is there a way to keep my quantities (except the lambda vector I guess, since it containts the lambda[i] component I need to solve for) undefined/implicit while making sure Maple correctly deals with matrices and dot products?
   e.g., the solution should display terms like p^%T.R.w as such, rather than the corresponding explicit computation...

Worksheet:

Download dot_products.mw

I'm having some trouble finding how to do this: given some field with spacetime indices, say h[mu,nu] and a Lagrangian L of that field, I want to do a n+1 split to find the canonical momentum pi[~mu,~nu]. I can do the splitting fine, but it's calculating the canonical momentum that is the problem. I've tried a couple of different methods using diff and SubstituteTensorIndices but I can't get it to work: I either get the wrong answer or zero (also wrong). Anyone with any ideas or a working example of this, I'd appreciate to hear from!

The XMLTools:-Validate function can be called with a reference to a schema.

I am a bit unsure where the schema location should be, especially if I can have the .xsd file in a library location.

Have done some tests, and as far as I can see, Maple does not give any error messages if the schema is not found at all. So I'm a bit unsure how to check if the schema defintion actually is read at all.

Something has changed in the past weeks (not sure for how long) and I have not figured out what exactly.

Probably it is me doing something differently while editing an input line. Below is an example where the name data is not italic any more

Anybody else experiencing the same?

My interface seetings:

how do i replace equation in maple for istance i want to replace u_t , u_xx, and u_x in the equation "u_t=-au_xx+bu_x"

Hello to whomever this may concern. I am curently trying to estimate parameters and initial conditions for a system of ODEs. I have taken inspiration from the code given by Robert J. Lopez. I am having issues with minimizing the SSE (sum of squared errors) which I named as a procedure using the NLPSolve command from the Optimization package. It returns an error saying there are too many levels of recursion, which I do not understand where it is coming from or how to solve the issue and I was hoping to get an explination on how to solve it.

Below is the code up until the error. Any help or guidance would be greatly appreciated.

Parameter_estimation.mw

odetest generates maple internal error which can not be cought when adding assumption on y(x)

               Error, (in type/complex) too many levels of recursion

Download internal_bug_odetest_nov_24_2024.mw