An illustration of a magnifying glass. An illustration of a magnifying glass.

The law of the iterated logarithm provides a family of bounds all of the same order such that with probability one only finitely many partial sums of a sequence of independent and identically ...

Abstract: The miraculous powers of modern day calculations rests on three important discoveries namely Arabic notation, decimal fractions and logarithm. The concept of logarithm has been used for more ...

Abstract: Logarithm and exponential functions are frequently used in signal processing, communication and information theory. They are primarily used for hardware calculations, handling ...

Abstract: The Magnus expansion was first introduced by Wilhelm Magnus in his 1954 paper, “On the Exponential Solution of Differential Equations for a Linear Operator” (CPAM 7 (1954) 649), where he ...