In[4]:= T = Array[t, {5, 5, 5}];
In[8]:= SetOptions[TimeAv, Method -> {"MinNum", 1000000}];
In[9]:= T[[Sequence @@ {3, 3, 4}]] // TimeAv
During evaluation of In[9]:= Total wall time is 2.646485, total cpu time is 2.65217 and total time spent evaluating the expression is 2.65217
During evaluation of In[9]:= The expression was evaluated 1100010 times, in blocks of 110001 runs. This yields a mean timing of 2.41104*10^-6 with a blocked standard deviation of 2.28871*10^-7.
Out[9]= {2.41104*10^-6, t[3, 3, 4]}
In[10]:= Extract[T, {3, 3, 4}] // TimeAv
During evaluation of In[10]:= Total wall time is 0.614893, total cpu time is 0.616039 and total time spent evaluating the expression is 0.616039
During evaluation of In[10]:= The expression was evaluated 1100010 times, in blocks of 110001 runs. This yields a mean timing of 5.6003*10^-7 with a blocked standard deviation of 4.65709*10^-8.
Out[10]= {5.6003*10^-7, t[3, 3, 4]}The "T[Index]" function in Mathematica is used to retrieve an element from a list or array based on a variable index. This allows for more dynamic and flexible coding, as the index can be changed or calculated during the program execution.
To use "T[Index]" in Mathematica, you first need to define a list or array. Then, you can simply replace "Index" with the desired index number or variable, and the function will return the element at that index. For example, if you have a list named "myList" and want to access the third element, you would use "T[3, myList]".
Yes, "T[Index]" can be used with both numeric and non-numeric indices. This allows for more versatility in coding, as the index can be a variable or even a string. However, keep in mind that the index still needs to correspond to an element in the list or array.
If the index used with "T[Index]" is out of range (i.e. greater than the length of the list or array), an error will be returned. It is important to ensure that the index used is within the appropriate range to avoid errors in your code.
Yes, "T[Index]" can be used with multidimensional lists or arrays. Simply specify the indices for each dimension separated by commas within the function. For example, if you have a 2D array named "myArray" and want to access the element at row 3, column 2, you would use "T[3, 2, myArray]".