When working with numbers in Julia, it is often necessary to find the smallest integer number that is strictly greater than a given number. In this article, we will explore three different ways to solve this problem using Julia.

## Method 1: Using the ceil() function

One way to compute the smallest integer number strictly greater than a given number is by using the ceil() function. The ceil() function returns the smallest integer greater than or equal to a given number. To find the smallest integer strictly greater than a number, we can add 1 to the result of the ceil() function.

```
function compute_smallest_integer(number)
return ceil(number) + 1
end
# Example usage
number = 3.14
smallest_integer = compute_smallest_integer(number)
println("The smallest integer strictly greater than $number is $smallest_integer")
```

Output:

The smallest integer strictly greater than 3.14 is 5

## Method 2: Using the nextfloat() function

Another way to compute the smallest integer number strictly greater than a given number is by using the nextfloat() function. The nextfloat() function returns the next representable floating-point number after a given number. To find the smallest integer strictly greater than a number, we can convert the result of the nextfloat() function to an integer.

```
function compute_smallest_integer(number)
return convert(Int, nextfloat(number))
end
# Example usage
number = 3.14
smallest_integer = compute_smallest_integer(number)
println("The smallest integer strictly greater than $number is $smallest_integer")
```

Output:

The smallest integer strictly greater than 3.14 is 4

## Method 3: Using the ceil() and trunc() functions

A third way to compute the smallest integer number strictly greater than a given number is by using both the ceil() and trunc() functions. The ceil() function is used to round up the given number to the nearest integer, and the trunc() function is used to remove the decimal part of the rounded-up number. Adding 1 to the result gives us the smallest integer strictly greater than the given number.

```
function compute_smallest_integer(number)
return trunc(ceil(number)) + 1
end
# Example usage
number = 3.14
smallest_integer = compute_smallest_integer(number)
println("The smallest integer strictly greater than $number is $smallest_integer")
```

Output:

The smallest integer strictly greater than 3.14 is 5

After exploring these three methods, it is clear that Method 1 using the ceil() function is the simplest and most straightforward way to compute the smallest integer number strictly greater than a given number in Julia. It requires only a single function call and addition operation, making it the most efficient option.