For many kinds of prefix-free codes there are efficient and compact alternatives to the traditional tree-based representation. Since these put the codes into canonical form, however, they can only be used when we can choose the order in which codewords are assigned to characters. In this paper we first show how, given a probability distribution over an alphabet of σ characters, we can store a n...

in this paper the numerical simulation and operation comparison of two sizes of air gun pellets with 4.5 and 5.5 mm calibers is performed. these pellets affected by drag force and are encountered to continuous velocity variations and experience an unsteady flow. in order to solve this problem numerically, the navier- stokes equations in an unsteady compressible turbulent flow with the dynamical...

John Kingman’s review of the Financial Reporting Council (FRC) doubted effectiveness UK’s Stewardship Code in encouraging informed and engaged stewardship by institutional investors companies which they invest (issuers). Accordingly, FRC published 2020 a final opportunity to prove its relevance, and, particular, enhance issuer-specific engagement investors. The up-date has enhanced reach substa...

Abstract John Kingman's review of the Financial Reporting Council (FRC) doubted effectiveness UK's Stewardship Code in encouraging informed and engaged stewardship by institutional investors companies which they invest (issuers). Accordingly, FRC updated 2020 a final bid to prove its relevance, and, particular, enhance issuer‐specific engagement investors. The update has enhanced reach substanc...

The purpose of this paper is to obtain exponential lower bounds on the numbers of non-isomorphic linear codes or symmetric designs of certain types. This will be accomplished using a famil iar--even mundane-ob jec t related to the desarguesian affine plane AG(2, q"). Namely, let V be a 2-dimensional vector space over GF(q") , and let A be its set of l-spaces. We will use subsets £ of A to defin...