i want to find fitted parameter value for G1,G2,G3,tau1,tau2,tau3 and plot stress-strain curve that fit to true_stress_strain curve(experimental data)
and i tried many times and still get error..can anyone please help me.here is my maple file...
 prony.mw 

Good day to all of you. 

I am working with a differential equation, got a first approximation setting all the constants equal to 1. But at the time to use the real values there appears the error numeric exception: division by zero.

I'll thanks any advice.

best regards

division_by_zero.mw

In the system below, I need to solve the solution algebraically (it is known in advance that from "V3" that a0=1,just open the V3 command).

V := exp(lambda*S) = S^4*a4 + S^3*a3 + S^2*a2 + S*a1 + a0;
V1 := subs(S = 2, V);
V2 := subs(S = 1, V);
V3 := subs(S = 0, V);
V4 := subs(S = -1, V);
V5 := subs(S = -2, V);
fsolve(subs(a0 = 1, {V1, V2, V4, V5}), {a1, a2, a3, a4});

I already know the answers, but I need maple to provide me with the command in the form

a1:=(1/6)*[8*sinh(lambda)-sinh(2*lambda)] and

a2:=(1/12)*[16*cosh(lambda)-cosh(2*lambda)-15],

a3:= ... etc.

What is the best way to do this?

Something to be aware of.  I realized you can't use rand in an equation with other rand's since the calculation affects the other call to it. 

Here is an example:

A simulation of 3 six sided die rolls added together for 50 trials. 

with(Statistics):
a:=[]:
for i from 1 to 50 do
  b:=rand(1..6)()+rand(1..6)()+rand(1..6)():
  a:=[op(a),b]:
end do:
Histogram(a,frequencyscale=absolute,discrete=true)

You'll notice the rand calls have affected the other calls to rand, and has eliminated some possible results.  

[added by moderator, from a Reply by the OP]

The idea was to generate values from 1 to 20 (I just chose 20 as an example) using 6 sided dice, and one that which produces as uniform a distrubution as possible. I appreciate the explanations.  I chose 4 as the smallest number of rolls needed. In the physical world as n approaches large numbers rolling that many becomes increasingly more difficult and time consuming.

So just wondering what the best solution would be for a uniform distribution in a range from 1 to n using only six sided dice?

For plotting with a plot function that has not been upgraded to units I want to remove units from the following

Anything else I could try with convert or something better than this

subs(Unit(1/'`μm`'^2) = 1, %)

I cannot conclude form the help page ?convert,unitfree if it should have worked on the expression.

Is the expression (1) non-scalar?

The term unit-free describes a scalar quantity with no (multiplicative) unit attached to it. Conversion to unit-free does not apply directly to any non-scalar Maple object or data structure, which may still have units embedded within it.

Download convert_unit_free_of_exp.mw

Download Exercises_all_lectures_1.mw

Exercises_all_lectures_1.mw

Hello,

I have a Maple document that contains a lot of notes that I have an exam for tomorrow. I opened the document today and it suggests I save a copy of a corrupt document and also it gives me the message "There were problems during the loading process.
Your worksheet may be incomplete." when it finally does load.

Any suggestions for how I could fix this would be greatly greatly appreciated.

Thank you

I have this equation:

and I need to do some manipulation to obtain this:

I manage to get it but my manipulation is too long for my liking. Can someone show me a shorter version. I have linked the Maple document.

Manipulating_polynomial.mw

Thank you in advance for your help.

Mario

Hello!
I am a Newbie to Maple and can´t figure out why Maple doesn´t compute the derivative explicitly of the following function. The first part of the derivative is "correct" and the second (yellow) part just says "D..". What am I doing wrong? Many thanks for your answers!!

Hi, I'm trying to solve these 2 nonlinear equations in f, g, and x, where x is from 0 to 1 with an increment of 0.1.

I am new to Maple and do not know the basics. Please try and help me. I'd highly appreciate it.

Since this is a nonlinear system, multiple solutions exist, I need to find the first 3 or 5 solutions. Once I solve the system, I would like to plot 2 plots, y-x and z-x.

Why does _EnvLinalg95 only affect  (and ) and not and ? 
 

Download _EnvLinalg95.mw

I have read the help page of Eigenvectors but couldn't find anything related.

how to find CharacteristicPolynomiall of matrix with vector entries? 

Download characpol.mw

This plot does not have units on the y-axis

Unit(('W')/'m'^2)*max(t/Unit('s'), 0);
plot(%, t = -Unit('s') .. 2*Unit('s'));

Any idea why and how to get them back when max is involved?

Hello,

I want to use the spline options in the SavitzkyGolayFilter, but I don't understand the description in the Maple help. Can someone give me Sytax examples? I would also like to specify the 1st and 2nd derivatives of the endpoints.

I am grateful for any help!

I was wondering if there was a command that could tell me if an expression consisting of undermined functions was always positive (with real domain).

For example f1:=f(x)^2+g(y)^4 is always positive.

but f(x)^2-g(y)^2 is only positive on a restricted domain.

This looks like a bug I have not seen before. Any one seen this before?

Error, (in Handlers:-TrigExpOnly) cannot determine if this expression is true or false: tr_is_cos

Can others reproduce it? I am using Maple 2023.2 on windows 10

btw, I found that by doing int(evala(integrand),t) instead of int(integrand,t) then the error goes away but not all the time. Below are two examples. The first where evala() fixes it, but the second it does not fix it. 

Download handler_trig_exp_only_nov_18_2023.mw

But the trick of using evala() to avoid this error does not always work. Here is an example below. So need to find another workaround for this.

Download handler_trig_exp_version_2.mw

ps. send to Maplesoft support.