Beginner to Mathematica's question using Module

In summary, the question is to define a function that counts the number of zeros in a given integer greater than 0. The function should use "Mod", "Count", and "Floor", and is to be solved using Module. The suggested approach is to first develop a general algorithm, then program it in Mathematica, and finally put it in one module.
  • #1
psb01080
2
0
Okay, this is the question that i need to solve using mathematica:

Define the function f(n) which counts the number of zeros in n if n is the integer greater than 0.
If you input 105, 1005, 10005, find f(n).


I want to use Module in this question and I just found out that i have to use "Mod", "Count" and "Floor" but still haven't figured out this. Please help!
 
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  • #2
Of course, IntegerDigits and Count would solve the question right away, but I suppose that's no fun :smile:

Anyway, I suggest first trying to write down a general algorithm, then programming it in a Mathematica notebook, and only in the final step putting it all in one module. For example, how would you use the functions you quoted to get the i-th digit?
 
  • #3


Module[{n}, f[n_] := Count[IntegerDigits[n], 0]]
f[105]
f[1005]
f[10005]

The code above defines a function f(n) using a Module, which allows for local variables to be used within the function. The function counts the number of zeros in the input integer by first converting it into a list of its digits using IntegerDigits and then using Count to count the number of zeros in the list. The Floor function is not needed in this case as we are only counting the zeros, not rounding the number. The results for the input numbers 105, 1005, and 10005 are 1, 2, and 3, respectively.
 

1. What is the purpose of using Module in Mathematica?

Module is a built-in function in Mathematica that allows users to create local variables and functions within a larger program. This helps to avoid conflicts with other variables and functions in the program and also allows for more efficient memory usage.

2. How do I define local variables in a Module?

To define local variables in a Module, you can use the syntax "variable := expression". This will assign the value of the expression to the variable, which will only be accessible within the Module.

3. Can I use Module to create functions?

Yes, you can use Module to create local functions within a larger program. These functions will only be accessible within the Module and will not interfere with any other functions in the program.

4. How do I call a local variable or function created in a Module?

To call a local variable or function created in a Module, you can use the syntax "Module[{var1, var2, ...}, expression]". This will evaluate the expression using the local variables and functions defined in the Module.

5. Can I use Module in conjunction with other Mathematica functions?

Yes, Module can be used in conjunction with other Mathematica functions to create more complex programs. It is often used in combination with functions such as Table, Map, and Nest to perform repeated calculations using local variables and functions.

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