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Maximum of a List

Tool to find the maximum value in a list of numbers, that is to say the largest possible value approaching plus infinity (if the numbers are positive) or 0 (if numbers are negative).

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Maximum of a List -

Tag(s) : Data processing

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Maximum of a List

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Tool to find the maximum value in a list of numbers, that is to say the largest possible value approaching plus infinity (if the numbers are positive) or 0 (if numbers are negative).

Answers to Questions

How to calculate the maximum of a list of numbers?

To find the biggest value (the maximum) among a list of numbers, go through the whole list of numbers and compare each values. The maximum in the list is the largest value found when all values have been compared.

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

For positive values, the maximum is the value closest to $ +\infty $ (plus infinity) and for negative values the maximum is the value that is closest to $ 0 $.

What is the algorithm of maximum calculation?

A naive algorithm for calculating a maximum of a list A of $ n $ integers is:function max(list) {
max = list[0]
for i = 1 , i < n {
if list[i] > max {
max = list[i]
}
}
return max
}

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

Source code

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