Matlab formula equation editor GUI - matlab

How i can execute an equation from GUI?
Example:
How i can do this with various type of equation?
Thanks the answers.

I'm not entirely sure what you mean, but I think you want to grab the equation that a user types in to a text box and turn it in to a function?
Why does your F change from 3 arguments to 4? i.e. F(x,y,y') --> F(1,0,5,-1) in the next line? (The examples of F you gave don't seem to match up with your equation..)
In any case, check out eval(), perhaps that is what you want.
It takes in a matlab command as a string, e.g. 2 + 3, and evalutes it.
So
eval('2+3') % gives 5
eval('f=#(x,y,ydash) y*sqrt(1+ydash^2)') % gives a function f
f(1,5,-2) % gives 11.1803
But in any case, how do you expect the user to type in the square root symbol and the squared symbol? The eval() approach relies on them typing in syntax that matlab will understand.
If you clarify your question a bit more this will be easier.

Related

Issues with MATLAB butter

I am using MATLAB R2015 and cannot implement 'butter' without getting an error related to too many output arguments from the polyfit part of the script. I have used the same implementation for years with other versions of MATLAB.
Example:
[b, a] = butter(2,[.15,.3]);
Error using poly
Too many output arguments.
Error in zp2ss (line 127)
den = real(poly(p(i:i+1)));
Error in butter (line 97)
[a,b,c,d] = zp2ss(z,p,k);
I get the same error implementing the examples in the help documentation.
Just a guess but is there any chance you've defined your own poly function? which('poly') should point to some Matlab directory unless you've defined it elsewhere, potentially as a variable?. For me on a newer version that path is something like $MATLAB/toolbox/matlab/polyfun/poly.m You can also edit the poly function edit poly and verify that there is one output argument for the function.
Also, I'd advise against ever writing decimal numbers without a leading zero. It took me way to long to figure out what [.15,.3] was. Instead write [0.15,0.3] or even just [0.15 0.3] Edit: I just realized that is an example in Matlab ... my point stands but the toolbox author should know better ...

How to get the zeros of the given equation using fzero in MATLAB?

I have the following function that I wish to solve using fzero:
f = lambda* exp(lambda^2)* erfc(lambda) - frac {C (T_m - T_i)}/{L_f*sqrt(pi)}
Here, C, T_m, T_i, and L_f are all input by the user.
On trying to solve using fzero, MATLAB gives the following error.
Undefined function or variable 'X'.
(where X are the variables stated above)
This error is understandable. But is there a way around it? How do I solve this?
This is answered to the best of my understanding after reading your question as it's not really clear what you are exactly trying and what you want exactly.
Posting the exact lines of code helps a big deal in understanding(as clean as possible, remove clutter). If then the output that matlab gives is added it becomes a whole lot easier to make sure we answer your question properly and it allows us to try it out. Usually it's a good idea to give some example values for data that is to be entered by the user anyway.
First of to make it a function it either needs a handle.
Or if you have it saved it as a matlab file you generally do not want other inputs in your m file then the variable.
So,
function [out]=yourfun(in)
constants=your values; %you can set a input or inputdlg to get a value from the user
out= something something, your lambda thingy probably; %this is the equation/function you're solving for
end
Now since that is not all that convenient I suggest the following
%declare or get your constants here, above the function makes it easier
syms lambda
f = lambda* exp(lambda^2)* erfc(lambda) - frac {C (T_m - T_i)}/{L_f*sqrt(pi)};
hf=matlabFunction(f); %this way matlab automatically converts it to a function handle, alternatively put #(lambda) in front
fzero(hf,x0)
Also this matlab page might help you as well ;)

MATLAB: using a minimum function within symsum

I am trying to run code similar to the following, I replaced the function I had with one much smaller, to provide a minimum working example:
clear
syms k m
n=2;
symsum(symsum(k*m,m,0,min(k,n-k)),k,0,n)
I receive the following error message:
"Error using sym/min (line 86)
Input arguments must be convertible to floating-point numbers."
I think this means that the min function cannot be used with symbolic arguments. However, I was hoping that MATLAB would be substituting in actual numbers through its iterations of k=0:n.
Is there a way to get this to work? Any help much appreciated. So far I the most relevant page I found was here, but I am somewhat hesitant as I find it difficult to understand what this function does.
EDIT following #horchler, I messed around putting it in various places to try and make it work, and this one did:
clear
syms k m
n=2;
symsum(symsum(k*m,m,0,feval(symengine, 'min', k,n-k)),k,0,n)
Because I do not really understand this feval function, I was curious to whether there was a better, perhaps more commonly-used solution. Although it is a different function, there are many pieces online advising against the eval function, for example. I thought perhaps this one may also carry issues.
I agree that Matlab should be able to solve this as you expect, even though the documentation is clear that it won't.
Why the issue occurs
The problem is due the inner symbolic summation, and the min function itself, being evaluated first:
symsum(k*m,m,0,min(k,n-k))
In this case, the input arguments to sym/min are not "convertible to floating-point numbers" as k is a symbolic variable. It is only after you wrap the above in another symbolic summation that k becomes clearly defined and could conceivably be reduced to numbers, but the inner expression has already generated an error so it's too late.
I think that it's a poor choice for sym/min to return an error. Rather, it should just return itself. This is what the sym/int function does when it can't evaluate an integral symbolically or numerically. MuPAD (see below) and Mathematica 10 also do something like this as well for their min functions.
About the workaround
This directly calls a MuPAD's min function. Calling MuPAD functions from Matlab is discussed in more detail in this article from The MathWorks.
If you like, you can wrap it in a function or an anonymous function to make calling it cleaner, e.g.:
symmin = #(x,y)feval(symengine,'min',x,y);
Then, you code would simply be:
syms k m
n = 2;
symsum(symsum(k*m,m,0,symmin(k,n-k)),k,0,n)
If you look at the code for sym/min in the Symbolic Math toolbox (type edit sym/min in your Command Window), you'll see that it's based on a different function: symobj::maxmin. I don't know why it doesn't just call MuPAD's min, other than performance reasons perhaps. You might consider filing a service request with The MathWorks to ask about this issue.

Why does nothing work in my Matlab plot?

I am trying to plot with Matlab. In particular, I try with numerous online source but none of them work.
Here is my problem, I am trying to plot the expression: y=2*(x-1)/(x-4)Kb/L, and I am interested in the range of x between 0 and 1.
K=40;
b=20;
L=0.5;
x=linspace(0,1,1000);
y=2*(x-1)/(x-4)*K*b/L;
but it returns:
y=275.01
I know linspace isn't the proper way to plot. How can I plot this function? I want to keep the K,b,L declaration because I might change them latter.
y=2*(x-1)./(x-4)*K*b/L; you should use ./ replace /
Like hzy199411 said, you should use the "." operation.
I would suggest that you type "help ." at a MATLAB command prompt. MATLAB will respond with a large index of results but look for the section on "Arithmetic Operators".
You may also try the command "doc arith" but I think the "help ." is more helpful because at least in MATLAB 2013 it verbosely lists more "dot" operators.
In short several arithmetic operators prefixed with '.' ("Dot") are "Element-by-Element" operations and as such they operate on each index of the array/matrix.
For example if you had an array s=1:20 and you performed the operation s/s you would get ans = 1, where as if you did s./s you would get an array of 1's with the same length as 's'.
I guess that you are a new matlab user :). The program is in general ok, but you should think of some things. First,
linspace is not a plotting function. The function is useful though. With your syntax it creates a vector of length 1000 with range [0,1]. For plotting, type:
plot(x,y);
Linecolor and style can be set as
plot(x,y,'r-.');
For predefined colors (here 'r-.' means a red dotted line). There are also some additional properties that can be found be checking the online help of plot.
Also as the others say, if you want to operate on each element in the vector, use ./. The / is a matrix operator.

Matlab: how to manupulate expression

I am currently having an equation that contains 4~5 variables, and I am unfamiliar with matlab. I want to see how a variable change with the other variable fixed (might assign them some value). Maying graphing them out will help. I found it cumbersome to work in the main GUI in matlab, this is mainly after I type in my equation, I didn't know if the expression is what I want because of missing brackets, etc.
Recently I found mudpad, it is better because it will show you the expression in pretty form. I am wondering is there any other tool-box that is more suitable for my intention?
Update:
Ps=1;
Pr=1;
Pd=1;
g=0.25;
d1=1;
d2=1;
n=0.18;
Yr = #(x)(Ps)/(d1*((Pd*g^2)/d2 + (n*(x- 2))/(x- 1)));
Yr_=ezplot(Yr,0,1);
There is actually 4 more equations to plot and I am only posting one of them.