# Solved: max function

In any programming language, embracing practicality is absolutely crucial. Among a multitude of functions needed to facilitate the creation of effective programs, the *max* function is an integral component in Haskell, a purely functional programming language. It is a simple yet potent function that can prove beneficial in any situation that requires comparison of two values to find the larger one.

The solution to the problem is conveniently provided by Haskell. The `max` function takes two comparable arguments and returns the greater. The type signature according to the prelude is `max :: Ord a => a -> a -> a`, meaning it accepts two arguments of the same type from the Ord class (which encapsulates types that are ordered) and returns a value of the same type.

```maxValue = max 5 10
```

In the above Haskell code, `max` is the function. It’s compared with two numbers, 5 and 10. The `max` function analyzes both numbers and returns the largest number, 10. This returned value is then assigned to the variable `maxValue`.

## Exploring Haskell and the max Function

The *max* function finds extensive use due to its simplicity and directness. When you consider the underpinnings of any programming task, there are often elements of comparing, categorizing, or ranking different entities or values. These tasks invariably require determining which is `greater` or `lesser`, where the *max* function plays its part.

In its fundamental form, the `max` function works with data types that can be equated and ordered, including but not limited to integers, characters, and floating-point numbers. This opens up a wide variety of applications given the broad spectrum of the `Ord` class.

## How Libraries in Haskell Enhance the max Function

Haskell’s comprehensive libraries leverage the *max* function effectively. For example, the `Data.List` library provides us with `maximum` function which extends the functionality of `max`. While `max` operates on two values, `maximum` works with a whole list of values.

```maximumValue = maximum [5, 10, 15, 30, 25]
```

In the Haskell code above, the `maximum` function compares all the values in the list and returns the largest number, 30, which is then assigned to the variable `maximumValue`.

Consequently, the *max* and *maximum* functions offer solutions to problems of different scales, with *max* focusing on pairwise comparison, while *maximum* efficiently determines the largest value from a list.

Beyond the practicality they offer in programming, these functions also demonstrate a valuable aspect of Haskell: its capacity for concise yet powerful expressions. This is evident in the brevity and functionality of the *max* function, a feature that traces back to the foundational philosophy of Haskell as a language that champions simplicity and clarity.

In the fashion sphere, these traits can be associated with *minimalism*, a style that focuses on simplicity and functionality. Just as `max` and `maximum` strip down comparisons to their core function, minimalist fashion strips down an outfit to its basic but significant elements, demonstrating beauty in simplicity.

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