ceilnx
Ceilnx is a mathematical function that represents the ceiling of the natural logarithm of a number. The ceiling function, denoted by ceil(x) or ⌈x⌉, rounds a number up to the nearest integer. The natural logarithm, denoted by ln(x) or log_e(x), is the logarithm to the base e, where e is Euler's number, approximately equal to 2.71828. Therefore, ceilnx calculates the smallest integer that is greater than or equal to the natural logarithm of x.
The domain of the natural logarithm function is all positive real numbers (x > 0). Consequently, the
For example, ln(1) = 0, so ceil(ln(1)) = ceil(0) = 0.
ln(2) is approximately 0.693, so ceil(ln(2)) = ceil(0.693) = 1.
ln(e) = 1, so ceil(ln(e)) = ceil(1) = 1.
ln(10) is approximately 2.303, so ceil(ln(10)) = ceil(2.303) = 3.
The function ceilnx is used in various fields, including computer science and mathematics, particularly in analyses