It is crucial to understand that this expression could be used in problems related to engineering, physics, mathematics, or any other aspect of real life.
Typically, Matlab is used to solve ODE and PDE problems. Perhaps users calculated this term 0^0 incorrectly in the process.
>> % How to fix this problem 0^0 in Matlab !?
>> % Mathematically, x^0=1 if x≠0 is equal 1 else undefined(NaN)
>> 0^0
ans =
1
>> f=@(x,y) x^y;
>> f(0,0)
ans =
1
>> v=[2 0 5 -1];
>> v.^0
ans =
1 1 1 1
check matlab site 2016:
https://www.mathworks.com/matlabcentral/answers/303337-why-zero-to-the-power-of-zero-is-not-nan
and links there-in
https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero#Current_situation
Bewar Yousif Ali This is not a mistake, but a choice made by MATLAB. Wikipedia in fact offers a good review of zero to the power of zero problem, which you can find here: https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero.
In case you want to define the result as NaN instead of one, I think you can write an input parser to the power function to check the inputs of base and exponent, and define the returned value to be NaN when both inputs are found to be zeros.
The function is actually undefined; however, to make other mathematical theorems make any sense it is taken as 1 otherwise these theorems will fall apart and become undefined. Some branches of mathematics do however consider it to be undefined.
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