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Minimum of a List

Tool to find the minimum value in a list of numbers, that is to say the smallest possible value approaching 0 (if the numbers are positive) or minus infinity.

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Minimum of a List -

Tag(s) : Data Processing

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# Minimum of a List

## List Minimum Finder

Tool to find the minimum value in a list of numbers, that is to say the smallest possible value approaching 0 (if the numbers are positive) or minus infinity.

### How to calculate the minimum of a list of numbers?

To find the smallest value (the minimum) among a list of numbers, it is necessary to go through the whole list of numbers and compare their values one after the other. The minimum in the list is the smallest value found when all values have been compared.

Example: The list of 4 values: 8,2,4,6 has for minimum 2

For positive values, the minimum is the value closest to $0$ and for negative values the minimum is the value that is closest to $-\infty$ (minus infinity).

### What is the algorithm of minimum calculation?

A naive algorithm for calculating a minimum of a list A of $n$ integers is:function min(list) { min = list for i = 1 , i < n { if list[i] < min { min = list[i] } } return min}

The complexity is of order $n$, as there are $n - 1$ comparisons and in the worst case, $n$ assignments (if the table is sorted in descending order) and in the best case only 1 assignment (if the minimum is the first value in the list).

## Source code

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