Limit of multivariable function in octave - octave

I want to assess the limit of a multivariable function in octave, how could I do so?
For example, I want to assess Limit(X+2*y,x=1,y=2).
I know how to do this with one variable function using syms, but have no idea for the multivariable case and could not find anything useful.
Thanks.

Related

(Version5) The function 'ta.ema' should be called on each calculation for consistency. It is recommended to extract the call from this scope

thanks for taking the time to read my problem.
I have this warning in my console : The function 'ta.ema' should be called on each calculation for consistency. It is recommended to extract the call from this scope.
So you can see the image of the script I did, I tried different alternative and still have the same warning, also the label.new still doesn't appearenter image description here on my chart.
Thanks for your help !
try to use ta.ema before the beginning of the if loop and store its value in a variable, then use that variable everywhere
you calculate several times the same calculus
and that's not good programming
as said above : "put the ta.ema in a variable" on a level-1 instruction
then use the variable everywhere
so it's less time consuming.

Should I define a new function for making a matrix Hermitian?

Let X be a square matrix. We want to force it to be Hermitian, that is: self-conjugate-transpose. X = X^H = conj(X^T). To do this in Python with numpy is easy:
X = 0.5*(X + np.conj(X.T))
I haven't found in NumPy a single function that does it in a single experssion f(x).
The question is should I define a new function to do it? E.g.
def make_hermitian(X):
return 0.5*(X + np.conj(X.T))
(one can come up with short name, e.g. "make_h" or "herm" or "selfconj").
Pros: more readable code, one operation in shorter form. If one uses shorter name it saves writing when repeated many times, and makes modification in this operation far more easy and comfortable (need to change only in place).
Cons: replaces a very short and straight-forward expression which is self-evident.
What is more appropriate way of programming: define a new function or just write the explicit expression repeatedly?
I would say it depends on how many times you need to reuse that function.
If it's more than twice, then definitely make a function. If it's only once or twice, I would say it's up to you. If you choose to go with no function, add a short comment specifying what such piece of code is supposed to do.
My preference in any case would be defining a function with a meaningful name, because if anyone else is going to / supposed to read the code, they may not know or remember how to achieve a Hermitian matrix, and hence the math alone ain't going to be sufficient.
On the other hand, a meaningful function name will tell them clearly what it's going on, and they can google after what a Hermitian matrix is.

Function Series in Sympy

I am quite new to sympy. I need to work with Function Series, something of the kind,
Sum(f_i(x), (i,0,n))
Of course this could be written like Sum(f(x,i),(i,0,n)) having defined i and n as integer.
Anyway, I am not finding any online resource to learn how to work with this conveniently, write the series, and then make operations like derivatives,...
Could anybody recommend a resource, or explain how she/he is writing it in sympy.
Thanks in advance!

So I've been Googling function arguments and I would like to understand arguments better and the use of ()

So I've been Googling function arguments and I would like to understand arguments better.
I am new to as3, to summarize arguments with my current knowledge, I would say they are like temporary variables? I don't fully get why you add parameters which are names that can be any value? Then you like call these parameters later and their order magically replace these parameters, but why? I'm missing some understanding here to fully grasp their use. Why make parameters in a function and then add the values later? If I'm even saying that right.
function name( applepie, sugar, healthyfood)
name( 1,2,3)
What was the point?
Also I haven't found a syntax book that describes what every symbol does yet that I can just search like () and it describes it, I heard some just use Google, but the results I got weren't very fruitful. Hence why I'm here asking. Personally I don't want to continue on until I fully grasps the use of (). I also tried Adobe website search but that didn't work out well either, was a good amount of searches trust me....
A function is a piece of code that can be reused many times in different contexts. You pass arguments to a function to tell the function something about the context in which it is being called; as a trivial example, when you call the print() function you must specify what you want the function to print. In your example name(applepie, sugar, healthyfood) the function should use the value supplied in place of each argument somewhere in its body, because the function doesn't know what values it will be passed, in the body of the function definition you use the names you chose (which should be descriptive) to refer to the values which will be passed in later and which will presumably be different each time it is called.
The parentheses are used for delimiting different semantic elements, in this case they are telling the interpreter where the argument list starts and stops.

Warning for variables with function names in Matlab

Sometimes I accidentally declare variables that have the name of a function.
Here is a constructed example:
max(4:5) % 5
max(1:10)=10*ones(10,1); % oops, should be == instead of =
max(4:5) % [10 10]
At the moment I always find this out the hard way and it especially happens with function names that I don't use frequently.
Is there any way to let matlab give a warning about this? It would be ideal to see this on the right hand side of the screen with the other warnings, but I am open to other suggestions.
Since Matlab allows you to overload built-in functionality, you will not receive any warnings when using existing names.
There are, however, a few tricks to minimize the risk of overloading existing functions:
Use explicitFunctionNames. It is much less likely that there is a function maxIndex instead of max.
Use the "Tab"-key often. Matlab will auto-complete functions on the path (as well as variables that you've declared previously). Thus, if the variable auto-completes, it already exists. In case you don't remember whether it's also a function, hit "F1" to see whether there exists a help page for it.
Use functions rather than scripts, so that "mis-"assigned variables in the workspace won't mess up your code.
I'm pretty sure mlint can also check for that.
Generally I would wrap code into functions as much as possible. That way the range of such an override is limited to the scope of the function - so no lasting problems, besides the accidental assumption of course.
When in doubt, check:
exist max
ans =
5
Looking at help exist, you can see that "max" is a function, and shouldn't be assigned as a variable.
>> help exist
exist Check if variables or functions are defined.
exist('A') returns:
0 if A does not exist
1 if A is a variable in the workspace
2 if A is an M-file on MATLAB's search path. It also returns 2 when
A is the full pathname to a file or when A is the name of an
ordinary file on MATLAB's search path
3 if A is a MEX-file on MATLAB's search path
4 if A is a MDL-file on MATLAB's search path
5 if A is a built-in MATLAB function
6 if A is a P-file on MATLAB's search path
7 if A is a directory
8 if A is a class (exist returns 0 for Java classes if you
start MATLAB with the -nojvm option.)