Find Maximum Value in a Set of Numbers

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SUMMARY

The maximum value of a set of numbers can be expressed as y = max(x1, x2, x3, ...). In mathematical notation, this is commonly represented using the Heaviside function, where H(x) = 0 for x < 0 and H(x) = 1 for x ≥ 0. For computational approaches, one can either sort the list and retrieve the last element or implement an optimized routine that minimizes the number of comparisons to determine the maximum value efficiently.

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How do I put down an expression that means the maximum value of a set of numbers?
 
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xeon123 said:
How do I put down an expression that means the maximum value of a set of numbers?

Hey xeon123.

Typically we write the expression as y = max(x1,x2,x3,...) in notational terms.

One way to write this is to use Heaviside functions where H(x) = 0 for x < 0 and 1 otherwise. If you want to just use a computer though then you can either sort a list and get the last element or implement an optimized routine that does the minimal number of compares to get the answer.
 

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