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).

Maximum of a List - dCode

Tag(s) : Data Processing

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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` (and for minimum `2`)

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 $.

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 by ascending order) and in the best case only 1 assignment made (if the maximum is the first value in the list).

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Cite as source (bibliography):

*Maximum of a List* on dCode.fr [online website], retrieved on 2024-06-18,

maximum,max,maxi,big,biggest,value,list

https://www.dcode.fr/maximum-list

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