Our main goal is to give a completely reduced expression for the combinatorial

logarithm. In Section 2, we describe the irreducible components of [F.sup.c] = Lg(F) and, in particular, of Lg(1 + X) and -Lg(1 - X), together with their exact multiplicities.

where [E.sub.t] ([s.sub.t+k]|[[OMEGA].sub.t]) =

logarithm of expected spot exchange rate at time t + k, based on information known at time t, [s.sub.t+k] =

logarithm of spot exchange rate at time t, [f.sup.(k).sub.t] =

logarithm of the k-period forward exchange rate.

TA Total assets (Compustat #6); Log(TA) denotes the natural

logarithm of TA.

Popular choices for the group G in discrete

logarithm cryptography are the cyclic groups [[].sup.*.sub.p] where p is an odd prime.

The standard divides the key agreement process into the following major components: domain parameter generation, domain parameter validation, key pair generation, public key validation, shared secret value calculation, key derivation, and test message authentication code computation for discrete

logarithm problem based key agreement schemes.

The

logarithm of parcel size in number of acres (LACRES)

The new methodology uses

logarithms, powers of two which compress the figures and change the complexity of the sums.

One puzzling result, although it is consistent with Hamermesh's findings, is the coefficient on

logarithm of hours, which implies a wage premium for those working short hours.

Or have we been convinced by these merchants' unyielding insistence that peddling poison in the form of tobacco is no vice if (a) it is freely picked by its users and (b) its dangers have not yet been conclusively, to the last

logarithm of human intellect, proven?"

Ln P = Natural

logarithm of the Implicit GNP Deflator.

These algorithms, which stretch to hundreds of digits, are created to help protect banking details, but these can be broken if discrete

logarithm problems can be solved.