We will analyze the number of comparisons needed to solve the problem of sorting n distinct items into ascending order, and the related problem of selecting the kth smallest item from an unsorted list of n items. Section 1 examines mergesort, an algorithm with excellent worst case performance, and Section 2 examines quicksort, an algorithm with excellent average case performance. Section 3 cont...

This study examined the substantive and predictive validity facets of the University Entrance Examination for English Major (UEEEM) students. To that aim, 111 English major students were recruited to report their scores on each of the subtests of the test as well as their grade point average. Sequential multiple regressions and factor analysis were used in the analysis of the data. Results ackn...

In this paper introduce the average outgoing quality (AOQ) and average total inspect (ATI) for single sampling plan when that proportion nonconforming items is fuzzy number. We have shown that AOQ and ATI curves of the plan are like a band having a high and low bounds. Keywords—Statistical quality control, acceptance single sampling, average outgoing quality, average total inspection, fuzzy num...

There has been some interest on how the average character degree affects structure of a finite group. We define, and denote by $ \mathrm{anz}(G) $, number zeros characters group G as in table divided irreducible $. show that if < 1 then is solvable also \frac{1}{2} supersolvable. characterise abelian groups showing \frac{1}{3} only abelian.

We calculate the average number of sub-jets in a jet, deened using a recently proposed jet clustering algorithm for hadron-hadron collisions. Our result is exact to leading order in S ; and resums large leading and next-to-leading logarithms of the resolution variable, y cut ; to all orders in S .

J. G. Webb, T. C. Ralph, and E. H. Huntington Centre for Quantum Computer Technology, School of Information Technology and Electrical Engineering, University College, The University of New South Wales, Canberra, Australian Capital Territory 2600, Australia Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, St Lucia, Queensland 4072, Australia Received 1...

The probable behavior of am iuslance of size 1). of the stable marriage problem, chosen uniformly at rmdonl, is studied. Tl~e expected number of stable matchings is shown to be asymptotic t20 e-l77 In 1) for n m. The total rank of wonieu by nleu in the male optimal (pessimnl) matching is proven to be close to II In 11 (resp. T?.‘/ In j?), with high probability. 1980 Mat1~ema.tic.s Subject Class...

In high-strength steels it is often difficult to distinguish between hydrogen embrittlement and various other brittle failure mechanisms. The objective of this work was to develop a sensitive analytical procedure based on secondary ion mass spectrometry (SIMS) that would allow in-service identification of local hydrogen accumulation, either during quality control or during failure analysis of e...