Step by Step solution about How to resolve the algorithm Greatest element of a list step by step in the Julia programming language

The provided Julia code demonstrates the usage of the maximum() function to find the maximum value in a collection of numbers. Here's a detailed explanation of the code:

1. maximum([1,3,3,7]): In this example, maximum() is called on a vector [1,3,3,7]. The function iterates through each element in the vector and returns the largest value, which is 7.

2. maximum([pi,e+2/5,cos(6)/5,sqrt(91/10)]): This example demonstrates the use of maximum() with a vector containing floating-point values and mathematical expressions. The function evaluates the expressions and returns the largest value, which is approximately 3.141592653589793.

3. maximum([1,6,Inf]): In this case, the vector contains a value of Inf, which represents positive infinity. When maximum() encounters Inf, it returns Inf because infinity is the largest possible value.

4. maximum(Float64[]): This example attempts to call maximum() on an empty array of type Float64. However, the function raises an error with the message "maximum: argument is empty." This error occurs because the maximum() function requires at least one element in the collection to find the maximum value.

In summary, the maximum() function in Julia is used to find the largest value in a collection of numbers. It can handle vectors containing both integer and floating-point values, as well as mathematical expressions and values representing infinity. If the collection is empty, the function raises an error.

julia> maximum([1,3,3,7])
7

julia> maximum([pi,e+2/5,cos(6)/5,sqrt(91/10)])
3.141592653589793

julia> maximum([1,6,Inf])
Inf

julia> maximum(Float64[])
maximum: argument is empty
at In[138]:1
 in maximum at abstractarray.jl:1591