floorsqrtNa

FloorsqrtNa is a mathematical function that combines the floor function and the square root function, with a specific handling of non-numeric inputs. The function is typically denoted as floorsqrtNa(x), where x is the input value. The behavior of the function can be described as follows:

If x is a non-negative real number, floorsqrtNa(x) returns the greatest integer less than or equal to the square root of x. This is equivalent to applying the floor function to the square root of x.

If x is a negative number, the function returns NaN (Not a Number), indicating that the square root of a negative number is not defined in the set of real numbers.

If x is not a real number (e.g., a complex number or an undefined value), the function also returns NaN.

The floorsqrtNa function is useful in various mathematical and computational contexts, such as number theory, algorithm design, and data analysis. It provides a way to obtain the integer part of the square root of a non-negative number while handling non-numeric inputs gracefully.