Items tagged with exponential

HI, I'm new to maple and am having trouble taking partial derivitives. I couldn't find anything in the documentation that seemed to resolve the situation, and can't be the first person to stumble through this part of Maple.

Namely, it seems like the exponential function causes an extra "ln()" term to show up in the solution. I've tried with e^(y) and exp^(y) but nothing seems to be working. When i use the same markup up in wolfram and matlab and Ti-CAS i get the "correct" solution.

I attached a screen showing my input and output.

thanks for any insight!

 

 

 

I meet a interesting nonlinear system in the analysis of an mechanics problem. This system can be shown as following:

wherein, the X and Y is the solutions. A, B, S, and T is the symbolic parameters.

I want to express X and Y with A, B, S, T. Who can give me a help, thanks a lot!

PS:the mw file is given here.

A_symbolic_nonlinear_system.mw

Hi all,

I am trying to plot in semilog scale a function involving products of exponential integrals and complex exponentials. For small and moderate values of the argument, the plot is well shown. However, for larger values the plot shows strong fluctuations. I was wondering how one can deal with such a problem. Any help is highly appreciated.

Please refer to the attached script for the functio of interest.

Thanks
F

 

Question.mw

hi all,

 

Im trying to plot an exponential function which has 2 variables times a constant coefficient. like A*exp(-f(x,a))

When A gets larger, maples fials to plot a smooth curve! how can I solve this problem? 

please see the attached file. If rho grows to 0.9, in the first line, you can see when it gets bigger, the cosnstant coefficient of Eq. (7) gets larger rapidly and the plot goes crazy! 

sz2012_4m.mw

How does one 3D plot the simple complex exponential e^I2pift or cos(2pift)+I*sin(2pift)  where f is freqency and t is time.  It shoud display a spiral aroung the time axis.

Hello everybody,

I have an nx2 matrix of (t,w) , I need to fit a curve of the form of w = A(t-b)c to the data. What I have already tried is to pick a value for b, then regress log w on log (t-b) linearly, which is not very accurate. I'd  greatly appreciate any comments that could help me to find the optimum values for A, b and c through regression methods.

Thanks a lot,

Haley

guys ,

in a differential equation i want to expand its variable, but i  have some problem with it for exponential term :jadid.mw

 

 

thanks guys

 

 

I currently have a function quadsum(n) that determines the [x,y] solutions of the above equation for an integer n. :

quadsum:= proc(n::nonnegint)
local
k:= 0, mylist:= table(),
x:= isqrt(iquo(n,2)), y:= x, x2:= x^2, y2:= y^2;
if 2*x2 <> n then x:= x+1; x2:= x2+2*x-1; y:= x; y2:= x2; end if;
while x2 <= n do
y:= isqrt(n-x2); y2:= y^2;
if x2+y2 = n then k:= k+1; mylist[k]:= [x,y] end if;
x:= x+1; x2:= x2+2*x-1;
end do;
convert(mylist, list)
end proc:

How would I alter this so that I get [x,y] for n= (5^a).(13^b).(17^c)(29^d) for non-negative integers a,b,c,d?

Hi all,

I am stuck with the following problem:

convert(cos(alpha), exp); works fine for me.

Once I have the trigonometric functions in a matrix, it does not work any more:

In the latter line, A keeps the trigonometric functions. Why is this the case? Is there any way to force maple to keep the complex exponentials instead of trigonometric functions?

 

I am using LinearAlgebra and VectorCalculus.

 

Best Regards

Wassja

1) Consider the followin Integral:

int(cosh(a*x)*cos(b*x),x)

How can I tell maple to give the results in terms of hyperbolic and harmonic funtions?
The maple returns the answer in term of exponentials with imaginary powers.
Also, I could not use the "simplify" command to turn the answer returned by maple into an answer in terms of what I want! Please see the code below.


2) Is there a way that I can update the maple integration database manaully?

 

Example.mw

How do I make "simplify" function to recognize complex exponentials. Maple created some exponentiol functions with a square root of negative expression in the denominator of the exponent. It refuses to simplify it. If I manually edit it, by taking negative sign under the root and adding immaginary number, the simplification works. How do I simplify it without manual edit?

The Eq 33 is manually edited line. Simplify function correctly uses cos function.

The Eq 34 is original expression. I tried to tell maple to assume real numbers hoping that it will wotk, but it did not.

> with(Statistics);
> X := Vector([1, 2, 3, 4, 5, 6, 7], datatype = float);
> Y := Vector([155625, 172472, 179589, 186579, 205421, 214989, 237937], datatype = float);
> ExponentialFit(X, Y, x, output = residualsumofsquares);
   
Result by Maple: 0.00216641200893470318
But a real result is 8.159611742*10^7

Please, can anybody help me? Thank you.

 

Greetings folks,

 

I need to perform Gauss Jordan Elimination on a 7x10 Matrix, returning the row reduced echolon form. The matrix entries itself are sums of several variable products, where the variables itself are sometimes exponential. The link provides an excerpt of said matrix for illustration.

https://www.dropbox.com/s/p9lyg8tmk0hpbbj/polyGLS7rows.png

I tried solving this with MatLab Mupad, but to no avail, at some point the calculation runs out of memory. Simplification of the expressions didn't help either.

Tried the same with Maple. It doesn't run out of memory but looses connection with the kernel at some point.

I'd be glad about some suggestion about how to solve this problem. Basically I want to reproduce the process of the following paper: http://www.inf.ethz.ch/personal/pomarc/pubs/FraundorferECCV10.pdf

The paper itself cites using the Gröbner basis package of Maple for reaching a solution so maybe I am missing something out.

Any help is greatly appreciated

Regards,

JCR

 

Edit: Exponential functions reside in the lower part of the matrix. Path to Maple Worksheet https://www.dropbox.com/s/xb99xlddba57cs7/GLSPoly7rows.mw

I am interested in using both in the same graph. And I am aware that i can drag from one to the other manually, but I am interesseted in doing it in a command. 

So i have 3 vectors a, b and an error. 

I can define ExponentialFit function based on a and b, and the plotting both observations, errors and the fitted function.

 

Per Kirkegaard

 

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