Lambda function
Encyclopedia
In mathematics
, the Lambda Function is a type of exponential function, where a number, x, is raised to itself, raised to (b−1):
Sending b to infinity causes the function to approach 1 for |x| < 1, and infinity for x > 1. It can be thought of as an iterated exponential function:
, where there are b levels of exponentiation, associated from the bottom up.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the Lambda Function is a type of exponential function, where a number, x, is raised to itself, raised to (b−1):
Sending b to infinity causes the function to approach 1 for |x| < 1, and infinity for x > 1. It can be thought of as an iterated exponential function:
, where there are b levels of exponentiation, associated from the bottom up.