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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

### What is the minimum of a list? (Definition)

The minimum is the name given to the smallest value among a list of numbers (the greatest value is called the maximum).

### 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[0] 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 by descending order) and in the best case only 1 assignment (if the minimum is the first value in the list).

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