EVOLUTION OF ALGORITHMS: A CASE STUDY OF THREE PRIME GENERATING SIEVES

Journal Title: Journal of Science And Arts - Year 2013, Vol 24, Issue 3

Abstract

In this paper, the algorithmic analysis is done with a view of inspecting the evolution of better and better algorithms. This has been with reference to three prime generating sieves. The Three sieves, starting with the simplest one to a nice property user one, have been converted into computer algorithms and using Java programming language, the runtimes of the corresponding sieves have been obtained, compared and contrasted. The third algorithm’s performance is surprisingly superior than the first two. The theoretical properties help boost the speed and this is where the mathematics’ smartness becomes noticeably appreciable

Authors and Affiliations

NEERAJ ANANT PANDE

Keywords

Related Articles

q-FRACTIONAL INITIAL VALUE PROBLEMS AND q-ANALOGUE OF GENERALIZED MITTAG-LEFFLER FUNCTION

In the present paper, the author introduced q-analogues of generalized Mittag-Leffler function referred by Prabhakar [23]. Results derived in this paper are the extensions of the results derived earlier by Abdeljawad...

THE VORONOVSKAJA TYPE THEOREM FOR THE SZÁSZ-MIRAKJAN-KANTOROVICH OPERATORS

The present article continues earlier research by O. T. Pop and the author establishes a convergence theorem and the evaluation of the rate of convergence in terms of the modulus of continuity, for the well-known Szász-M...

A REFINEMENT OF HOLDER’S AND ITS REVERSE INEQUALITY USING AN INEQUALITY OF N. MINCULETE

In this paper we will give two refinements for the Holder’s inequality and its reverse using two refinements of the Kittaneh-Manasrah inequality presented by N. Minculete.

FINITENESS PROPERTIES FOR THE PATH COALGEBRA ASSOCIATED TO A POSET

Let P be a partially ordered set (poset) locally finite and kQ the path coalgebra over a field k associated to P. In this paper we investigate finiteness properties of this coalgebra by using an injective morphism of coa...

Download PDF file
  • EP ID EP161963
  • DOI -
  • Views 221
  • Downloads 0

How To Cite

NEERAJ ANANT PANDE (2013). EVOLUTION OF ALGORITHMS: A CASE STUDY OF THREE PRIME GENERATING SIEVES. Journal of Science And Arts, 24(3), 267-276. https://europub.co.uk/articles/-A-161963