let e be an edge of a g connecting the vertices u and v. define two sets n1 (e | g) andn2(e |g) as n1(e | g)= {xv(g) d(x,u) d(x,v)} and n2(e | g)= {xv(g) d(x,v) d(x,u) }.thenumber of elements of n1(e | g) and n2(e | g) are denoted by n1(e | g) and n2(e | g) ,respectively. the szeged index of the graph g is defined as sz(g) ( ) ( ) 1 2 n e g n e g e e    . inthis paper we compute the sz...

Neil Grimsey, Gil-Soo Han, Laura O’Hara, Justin J. Rochford, George M. Carman, and Symeon Siniossoglou From the Cambridge Institute for Medical Research, University of Cambridge, Hills Road, CB2 0XY Cambridge, United Kingdom, the Department of Food Science and Rutgers Center for Lipid Research, Rutgers University, New Brunswick, New Jersey 08901, and the Department of Clinical Biochemistry, Uni...

(d) Suppose list1 contains N1 elements and list2 contains N2 elements. The first while loop is executed O(N1) times. The body of this loop takes O(N1) since GetNextItem takes O(1) and InsertItem takes O(N1). So, the complexity of the first loop is O(N1N1). The second while loop is executed O(N2) times. The body of that loop takes O(N1+N2) time since GetNextItem takes O(1), RetrieveItem takes O(...

Identification of widespread species collected from islands can be challenging due to the potential for local ecological and phenotypic divergence in isolated populations. We sought to determine how many species of the spruce budworm (Choristoneura fumiferana) complex reside in Cypress Hills, an isolated remnant coniferous forest in western Canada. We integrated data on behavior, ecology, morph...

Veevers and Boffey [1] identified 12 elementary balanced arrays. Zafar-Yab [2] confirmed the results of Veevers and Boffey [1] and investigated that among those 12 arrays, six arrays are unique and the other six are their associate partners. In this paper, there are 54 isomorphic classes containing 43-hills. Among these arrays 12 are vertically self-buildable arrays, after suitably augmentation...

s of the 2017Spring PaduaMuscleDays, Padua, Italy Eur J Transl Myol 2017;27(2):1-30 This article is distributed under the terms of the Creative Commons Attribution Noncommercial License (CC BY-NC 4.0) which permits any noncommercial use, distribution, and reproduction in any medium,provided the original author(s) and source are credited. 1 faninEuropean Journal of Translational Myology eISSN 20...

Let F (m; n1, n2) denote the number of lattice walks from (0, 0) to (n1, n2), always staying in the first quadrant {(n1, n2); n1 ≥ 0, n2 ≥ 0} and having exactly m steps, each of which belongs to the set {E = (1, 0),W = (−1, 0), NE = (1, 1), SW = (−1,−1)}. Ira Gessel conjectured that F (2n; 0, 0) = 16 (1/2)n(5/6)n (2)n(5/3)n . We pose similar conjectures for some other values of (n1, n2), and gi...

Measurements of flow past simulated sinusoidal hills were taken in an atmospheric boundary layer wind tunnel (ABLWT) that modeled typical full-scale complex terrain for many wind turbine locations in the Altamont Pass, California, USA. Velocity profiles and speed-up factors for several model hills were determined. All hills modeled had the same height and sinusoidal cross-section, and length-to...