In this paper we present several exponential and moment inequalities, particularly those related to laws of the iterated logarithm, for self-normalized random variables including martingales.

Revise what logarithms are and how to use the 'log' buttons on a scientific calculator as part of Higher Maths.

Solve a set of linear equations (intersecting lines). Logarithms and exponents: Review the properties of exponents (negative exponent rule, zero exponent rule, product rule, power rule, quotient rule, ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Determining composite and inverse functions Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.

What are the underlying principles of how populations change over time? Two basic principles are involved, the idea of exponential growth and its ultimate control.